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spatstat (version 1.56-1)

Spatial Point Pattern Analysis, Model-Fitting, Simulation, Tests

Description

Comprehensive open-source toolbox for analysing Spatial Point Patterns. Focused mainly on two-dimensional point patterns, including multitype/marked points, in any spatial region. Also supports three-dimensional point patterns, space-time point patterns in any number of dimensions, point patterns on a linear network, and patterns of other geometrical objects. Supports spatial covariate data such as pixel images. Contains over 2000 functions for plotting spatial data, exploratory data analysis, model-fitting, simulation, spatial sampling, model diagnostics, and formal inference. Data types include point patterns, line segment patterns, spatial windows, pixel images, tessellations, and linear networks. Exploratory methods include quadrat counts, K-functions and their simulation envelopes, nearest neighbour distance and empty space statistics, Fry plots, pair correlation function, kernel smoothed intensity, relative risk estimation with cross-validated bandwidth selection, mark correlation functions, segregation indices, mark dependence diagnostics, and kernel estimates of covariate effects. Formal hypothesis tests of random pattern (chi-squared, Kolmogorov-Smirnov, Monte Carlo, Diggle-Cressie-Loosmore-Ford, Dao-Genton, two-stage Monte Carlo) and tests for covariate effects (Cox-Berman-Waller-Lawson, Kolmogorov-Smirnov, ANOVA) are also supported. Parametric models can be fitted to point pattern data using the functions ppm(), kppm(), slrm(), dppm() similar to glm(). Types of models include Poisson, Gibbs and Cox point processes, Neyman-Scott cluster processes, and determinantal point processes. Models may involve dependence on covariates, inter-point interaction, cluster formation and dependence on marks. Models are fitted by maximum likelihood, logistic regression, minimum contrast, and composite likelihood methods. A model can be fitted to a list of point patterns (replicated point pattern data) using the function mppm(). The model can include random effects and fixed effects depending on the experimental design, in addition to all the features listed above. Fitted point process models can be simulated, automatically. Formal hypothesis tests of a fitted model are supported (likelihood ratio test, analysis of deviance, Monte Carlo tests) along with basic tools for model selection (stepwise(), AIC()) and variable selection (sdr). Tools for validating the fitted model include simulation envelopes, residuals, residual plots and Q-Q plots, leverage and influence diagnostics, partial residuals, and added variable plots.

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Version

Install

install.packages('spatstat')

Monthly Downloads

18,973

Version

1.56-1

License

GPL (>= 2)

Maintainer

Last Published

August 1st, 2018

Functions in spatstat (1.56-1)

Extract.influence.ppm

Extract Subset of Influence Object
Extract.leverage.ppm

Extract Subset of Leverage Object
Extract.tess

Extract or Replace Subset of Tessellation
Extract.msr

Extract Subset of Signed or Vector Measure
Extract.lpp

Extract Subset of Point Pattern on Linear Network
FmultiInhom

Inhomogeneous Marked F-Function
Extract.linim

Extract Subset of Pixel Image on Linear Network
Finhom

Inhomogeneous Empty Space Function
Extract.solist

Extract or Replace Subset of a List of Spatial Objects
Extract.quad

Subset of Quadrature Scheme
Ginhom

Inhomogeneous Nearest Neighbour Function
Extract.ppx

Extract Subset of Multidimensional Point Pattern
Extract.psp

Extract Subset of Line Segment Pattern
F3est

Empty Space Function of a Three-Dimensional Point Pattern
Extract.layered

Extract or Replace Subset of a Layered Object
Extract.linnet

Extract Subset of Linear Network
Extract.listof

Extract or Replace Subset of a List of Things
Extract.anylist

Extract or Replace Subset of a List of Things
Extract.splitppp

Extract or Replace Sub-Patterns
[.ssf

Subset of spatially sampled function
Extract.hyperframe

Extract or Replace Subset of Hyperframe
Gcross

Multitype Nearest Neighbour Distance Function (i-to-j)
Gcom

Model Compensator of Nearest Neighbour Function
Frame

Extract or Change the Containing Rectangle of a Spatial Object
Gmulti

Marked Nearest Neighbour Distance Function
Extract.im

Extract Subset of Image
Iest

Estimate the I-function
G3est

Nearest Neighbour Distance Distribution Function of a Three-Dimensional Point Pattern
K3est

K-function of a Three-Dimensional Point Pattern
Gdot

Multitype Nearest Neighbour Distance Function (i-to-any)
Fest

Estimate the Empty Space Function or its Hazard Rate
Jcross

Multitype J Function (i-to-j)
Fiksel

The Fiksel Interaction
Hardcore

The Hard Core Point Process Model
Kinhom

Inhomogeneous K-function
Extract.owin

Extract Subset of Window
Gest

Nearest Neighbour Distance Function G
GmultiInhom

Inhomogeneous Marked G-Function
Kmark

Mark-Weighted K Function
Gres

Residual G Function
HierStraussHard

The Hierarchical Strauss Hard Core Point Process Model
Hest

Spherical Contact Distribution Function
Extract.ppp

Extract or Replace Subset of Point Pattern
Kmeasure

Reduced Second Moment Measure
Hybrid

Hybrid Interaction Point Process Model
Kcom

Model Compensator of K Function
LambertW

Lambert's W Function
Lcross

Multitype L-function (cross-type)
Geyer

Geyer's Saturation Point Process Model
HierHard

The Hierarchical Hard Core Point Process Model
Kmulti.inhom

Inhomogeneous Marked K-Function
Gfox

Foxall's Distance Functions
Kcross

Multitype K Function (Cross-type)
Ldot.inhom

Inhomogeneous Multitype L Dot Function
Jinhom

Inhomogeneous J-function
Pairwise

Generic Pairwise Interaction model
Kres

Residual K Function
Penttinen

Penttinen Interaction
Jmulti

Marked J Function
HierStrauss

The Hierarchical Strauss Point Process Model
Kest

K-function
Kest.fft

K-function using FFT
Kmodel

K Function or Pair Correlation Function of a Point Process Model
Kscaled

Locally Scaled K-function
Jdot

Multitype J Function (i-to-any)
Kcross.inhom

Inhomogeneous Cross K Function
LennardJones

The Lennard-Jones Potential
Ord

Generic Ord Interaction model
Jest

Estimate the J-function
Kmodel.dppm

K-function or Pair Correlation Function of a Determinantal Point Process Model
Kmodel.ppm

K Function or Pair Correlation Function of Gibbs Point Process model
OrdThresh

Ord's Interaction model
Kmulti

Marked K-Function
Lest

L-function
Kmodel.kppm

K Function or Pair Correlation Function of Cluster Model or Cox model
Lcross.inhom

Inhomogeneous Cross Type L Function
Poisson

Poisson Point Process Model
Ldot

Multitype L-function (i-to-any)
Smooth

Spatial smoothing of data
Saturated

Saturated Pairwise Interaction model
Replace.im

Reset Values in Subset of Image
Linhom

L-function
Replace.linim

Reset Values in Subset of Image on Linear Network
PPversion

Transform a Function into its P-P or Q-Q Version
Ksector

Sector K-function
Kdot

Multitype K Function (i-to-any)
Math.im

S3 Group Generic methods for images
SatPiece

Piecewise Constant Saturated Pairwise Interaction Point Process Model
Strauss

The Strauss Point Process Model
Window

Extract or Change the Window of a Spatial Object
Math.imlist

S3 Group Generic methods for List of Images
Kdot.inhom

Inhomogeneous Multitype K Dot Function
Math.linim

S3 Group Generic Methods for Images on a Linear Network
PairPiece

The Piecewise Constant Pairwise Interaction Point Process Model
MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model
Smoothfun.ppp

Smooth Interpolation of Marks as a Spatial Function
StraussHard

The Strauss / Hard Core Point Process Model
MinkowskiSum

Minkowski Sum of Windows
affine.im

Apply Affine Transformation To Pixel Image
Ops.msr

Arithmetic Operations on Measures
Smooth.fv

Apply Smoothing to Function Values
WindowOnly

Extract Window of Spatial Object
MultiStrauss

The Multitype Strauss Point Process Model
MultiHard

The Multitype Hard Core Point Process Model
affine.tess

Apply Geometrical Transformation To Tessellation
Smooth.msr

Smooth a Signed or Vector-Valued Measure
adaptive.density

Intensity Estimate of Point Pattern Using Tessellation
addvar

Added Variable Plot for Point Process Model
Softcore

The Soft Core Point Process Model
add.texture

Fill Plot With Texture
Triplets

The Triplet Point Process Model
Smooth.ppp

Spatial smoothing of observations at irregular points
affine.linnet

Apply Geometrical Transformations to a Linear Network
alltypes

Calculate Summary Statistic for All Types in a Multitype Point Pattern
affine

Apply Affine Transformation
anyNA.im

Check Whether Image Contains NA Values
angles.psp

Orientation Angles of Line Segments
as.data.frame.hyperframe

Coerce Hyperframe to Data Frame
anylist

List of Objects
Tstat

Third order summary statistic
allstats

Calculate four standard summary functions of a point pattern.
anova.lppm

ANOVA for Fitted Point Process Models on Linear Network
anova.ppm

ANOVA for Fitted Point Process Models
Smooth.ssf

Smooth a Spatially Sampled Function
anova.mppm

ANOVA for Fitted Point Process Models for Replicated Patterns
as.data.frame.owin

Convert Window to Data Frame
as.data.frame.ppp

Coerce Point Pattern to a Data Frame
as.data.frame.im

Convert Pixel Image to Data Frame
as.function.leverage.ppm

Convert Leverage Object to Function of Coordinates
anova.slrm

Analysis of Deviance for Spatial Logistic Regression Models
as.matrix.im

Convert Pixel Image to Matrix or Array
as.function.owin

Convert Window to Indicator Function
as.function.fv

Convert Function Value Table to Function
as.function.im

Convert Pixel Image to Function of Coordinates
affine.owin

Apply Affine Transformation To Window
affine.lpp

Apply Geometrical Transformations to Point Pattern on a Linear Network
as.matrix.owin

Convert Pixel Image to Matrix
as.layered

Convert Data To Layered Object
as.linfun

Convert Data to a Function on a Linear Network
as.im

Convert to Pixel Image
as.interact

Extract Interaction Structure
auc

Area Under ROC Curve
affine.ppp

Apply Affine Transformation To Point Pattern
as.boxx

Convert Data to Multi-Dimensional Box
as.ppm

Extract Fitted Point Process Model
areaLoss

Difference of Disc Areas
as.data.frame.envelope

Coerce Envelope to Data Frame
as.ppp

Convert Data To Class ppp
berman.test

Berman's Tests for Point Process Model
as.box3

Convert Data to Three-Dimensional Box
affine.psp

Apply Affine Transformation To Line Segment Pattern
bind.fv

Combine Function Value Tables
append.psp

Combine Two Line Segment Patterns
as.hyperframe

Convert Data to Hyperframe
border

Border Region of a Window
bc.ppm

Bias Correction for Fitted Model
branchlabelfun

Tree Branch Membership Labelling Function
bounding.box.xy

Convex Hull of Points
box3

Three-Dimensional Box
bugfixes

List Recent Bug Fixes
bw.relrisk

Cross Validated Bandwidth Selection for Relative Risk Estimation
as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame
bw.diggle

Cross Validated Bandwidth Selection for Kernel Density
bw.frac

Bandwidth Selection Based on Window Geometry
bw.scott

Scott's Rule for Bandwidth Selection for Kernel Density
cdf.test.mppm

Spatial Distribution Test for Multiple Point Process Model
boxx

Multi-Dimensional Box
closepairs.pp3

Close Pairs of Points in 3 Dimensions
centroid.owin

Centroid of a window
clickpoly

Interactively Define a Polygon
as.data.frame.tess

Convert Tessellation to Data Frame
applynbd

Apply Function to Every Neighbourhood in a Point Pattern
clickppp

Interactively Add Points
as.mask

Pixel Image Approximation of a Window
contour.imlist

Array of Contour Plots
chop.tess

Subdivide a Window or Tessellation using a Set of Lines
circdensity

Density Estimation for Circular Data
as.mask.psp

Convert Line Segment Pattern to Binary Pixel Mask
area.owin

Area of a Window
convexhull

Convex Hull
as.owin

Convert Data To Class owin
as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern
areaGain

Difference of Disc Areas
clusterradius

Compute or Extract Effective Range of Cluster Kernel
as.function.tess

Convert a Tessellation to a Function
closetriples

Close Triples of Points
convexhull.xy

Convex Hull of Points
coef.slrm

Coefficients of Fitted Spatial Logistic Regression Model
collapse.fv

Collapse Several Function Tables into One
as.fv

Convert Data To Class fv
as.linim

Convert to Pixel Image on Linear Network
clusterset

Allard-Fraley Estimator of Cluster Feature
convexify

Weil's Convexifying Operation
colourmap

Colour Lookup Tables
colouroutputs

Extract or Assign Colour Values in a Colour Map
compareFit

Residual Diagnostics for Multiple Fitted Models
compatible

Test Whether Objects Are Compatible
as.linnet.linim

Extract Linear Network from Data on a Linear Network
as.polygonal

Convert a Window to a Polygonal Window
complement.owin

Take Complement of a Window
crossdist.default

Pairwise distances between two different sets of points
crossdist

Pairwise distances
as.linnet.psp

Convert Line Segment Pattern to Linear Network
concatxy

Concatenate x,y Coordinate Vectors
crossdist.ppp

Pairwise distances between two different point patterns
crossdist.ppx

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns
as.psp

Convert Data To Class psp
convolve.im

Convolution of Pixel Images
as.lpp

Convert Data to a Point Pattern on a Linear Network
coords

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
bdist.pixels

Distance to Boundary of Window
as.rectangle

Window Frame
cut.lpp

Classify Points in a Point Pattern on a Network
cut.ppp

Classify Points in a Point Pattern
bdist.points

Distance to Boundary of Window
bdist.tiles

Distance to Boundary of Window
bits.test

Balanced Independent Two-Stage Monte Carlo Test
blur

Apply Gaussian Blur to a Pixel Image
by.im

Apply Function to Image Broken Down by Factor
data.ppm

Extract Original Data from a Fitted Point Process Model
as.solist

Convert List of Two-Dimensional Spatial Objects
default.dummy

Generate a Default Pattern of Dummy Points
beachcolours

Create Colour Scheme for a Range of Numbers
default.expand

Default Expansion Rule for Simulation of Model
dclf.progress

Progress Plot of Test of Spatial Pattern
bw.smoothppp

Cross Validated Bandwidth Selection for Spatial Smoothing
bw.stoyan

Stoyan's Rule of Thumb for Bandwidth Selection
by.ppp

Apply a Function to a Point Pattern Broken Down by Factor
clarkevans

Clark and Evans Aggregation Index
dclf.sigtrace

Significance Trace of Cressie-Loosmore-Ford or Maximum Absolute Deviation Test
dclf.test

Diggle-Cressie-Loosmore-Ford and Maximum Absolute Deviation Tests
density.lpp

Kernel Estimate of Intensity on a Linear Network
delaunay

Delaunay Triangulation of Point Pattern
default.rmhcontrol

Set Default Control Parameters for Metropolis-Hastings Algorithm.
cdf.test

Spatial Distribution Test for Point Pattern or Point Process Model
cbind.hyperframe

Combine Hyperframes by Rows or by Columns
density.ppp

Kernel Smoothed Intensity of Point Pattern
diameter.owin

Diameter of a Window
dilated.areas

Areas of Morphological Dilations
clip.infline

Intersect Infinite Straight Lines with a Window
dffit.ppm

Case Deletion Effect Measure of Fitted Model
density.psp

Kernel Smoothing of Line Segment Pattern or Linear Network
density.splitppp

Kernel Smoothed Intensity of Split Point Pattern
as.tess

Convert Data To Tessellation
beginner

Print Introduction For Beginners
clarkevans.test

Clark and Evans Test
closepairs

Close Pairs of Points
dg.envelope

Global Envelopes for Dao-Genton Test
clickbox

Interactively Define a Rectangle
closing

Morphological Closing
distfun

Distance Map as a Function
clusterfield

Field of clusters
dilation

Morphological Dilation
diameter

Diameter of an Object
begins

Check Start of Character String
clickdist

Interactively Measure Distance
compatible.im

Test Whether Pixel Images Are Compatible
distfun.lpp

Distance Map on Linear Network
dppGauss

Gaussian Determinantal Point Process Model
coef.mppm

Coefficients of Point Process Model Fitted to Multiple Point Patterns
diameter.box3

Geometrical Calculations for Three-Dimensional Box
boundingbox

Bounding Box of a Window, Image, or Point Pattern
dppMatern

Whittle-Matern Determinantal Point Process Model
compileK

Generic Calculation of K Function and Pair Correlation Function
connected.lpp

Connected Components of a Point Pattern on a Linear Network
boundingcircle

Smallest Enclosing Circle
coef.ppm

Coefficients of Fitted Point Process Model
connected.ppp

Connected Components of a Point Pattern
crossdist.psp

Pairwise distances between two different line segment patterns
dim.detpointprocfamily

Dimension of Determinantal Point Process Model
crossing.linnet

Crossing Points between Linear Network and Other Lines
bw.pcf

Cross Validated Bandwidth Selection for Pair Correlation Function
distmap

Distance Map
colourtools

Convert and Compare Colours in Different Formats
dirichletWeights

Compute Quadrature Weights Based on Dirichlet Tessellation
bw.ppl

Likelihood Cross Validation Bandwidth Selection for Kernel Density
commonGrid

Determine A Common Spatial Domain And Pixel Resolution
distmap.owin

Distance Map of Window
dmixpois

Mixed Poisson Distribution
diameter.boxx

Geometrical Calculations for Multi-Dimensional Box
disc

Circular Window
ellipse

Elliptical Window.
discs

Union of Discs
effectfun

Compute Fitted Effect of a Spatial Covariate in a Point Process Model
distcdf

Distribution Function of Interpoint Distance
domain

Extract the Domain of any Spatial Object
diameter.linnet

Diameter and Bounding Radius of a Linear Network
envelope.envelope

Recompute Envelopes
discpartarea

Area of Part of Disc
dummy.ppm

Extract Dummy Points Used to Fit a Point Process Model
discretise

Safely Convert Point Pattern Window to Binary Mask
envelope.lpp

Envelope for Point Patterns on Linear Network
duplicated.ppp

Determine Duplicated Points in a Spatial Point Pattern
edges2vees

List Dihedral Triples in a Graph
fardist

Farthest Distance to Boundary of Window
connected

Connected components
edit.hyperframe

Invoke Text Editor on Hyperframe
fasp.object

Function Arrays for Spatial Patterns
connected.linnet

Connected Components of a Linear Network
formula.fv

Extract or Change the Plot Formula for a Function Value Table
corners

Corners of a rectangle
dppPowerExp

Power Exponential Spectral Determinantal Point Process Model
edge.Ripley

Ripley's Isotropic Edge Correction
covering

Cover Region with Discs
edge.Trans

Translation Edge Correction
cauchy.estK

Fit the Neyman-Scott cluster process with Cauchy kernel
cauchy.estpcf

Fit the Neyman-Scott cluster process with Cauchy kernel
edit.ppp

Invoke Text Editor on Spatial Data
clickjoin

Interactively join vertices on a plot
formula.ppm

Model Formulae for Gibbs Point Process Models
erosionAny

Morphological Erosion of Windows
fvnames

Abbreviations for Groups of Columns in Function Value Table
fv.object

Function Value Table
crossing.psp

Crossing Points of Two Line Segment Patterns
clicklpp

Interactively Add Points on a Linear Network
clusterkernel

Extract Cluster Offspring Kernel
cut.im

Convert Pixel Image from Numeric to Factor
eem

Exponential Energy Marks
eval.fasp

Evaluate Expression Involving Function Arrays
eval.linim

Evaluate Expression Involving Pixel Images on Linear Network
dppapproxkernel

Approximate Determinantal Point Process Kernel
clusterfit

Fit Cluster or Cox Point Process Model via Minimum Contrast
deletebranch

Delete or Extract a Branch of a Tree
gauss.hermite

Gauss-Hermite Quadrature Approximation to Expectation for Normal Distribution
ewcdf

Weighted Empirical Cumulative Distribution Function
gridcentres

Rectangular grid of points
deltametric

Delta Metric
detpointprocfamilyfun

Construct a New Determinantal Point Process Model Family Function
dfbetas.ppm

Parameter Influence Measure
fourierbasis

Fourier Basis Functions
dg.progress

Progress Plot of Dao-Genton Test of Spatial Pattern
compatible.fasp

Test Whether Function Arrays Are Compatible
dppparbounds

Parameter Bound for a Determinantal Point Process Model
dg.sigtrace

Significance Trace of Dao-Genton Test
fryplot

Fry Plot of Point Pattern
compatible.fv

Test Whether Function Objects Are Compatible
connected.tess

Connected Components of Tiles of a Tessellation
dppspecden

Extract Spectral Density from Determinantal Point Process Model Object
contour.im

Contour plot of pixel image
endpoints.psp

Endpoints of Line Segment Pattern
crossdist.lpp

Pairwise distances between two point patterns on a linear network
idw

Inverse-distance weighted smoothing of observations at irregular points
harmonise.owin

Make Windows Compatible
im

Create a Pixel Image Object
dirichletAreas

Compute Areas of Tiles in Dirichlet Tessellation
envelope

Simulation Envelopes of Summary Function
harmonise.im

Make Pixel Images Compatible
fitin.ppm

Extract the Interaction from a Fitted Point Process Model
fitted.lppm

Fitted Intensity for Point Process on Linear Network
fitted.mppm

Fitted Conditional Intensity for Multiple Point Process Model
dirichletVertices

Vertices and Edges of Dirichlet Tessellation
distmap.ppp

Distance Map of Point Pattern
harmonise.msr

Make Measures Compatible
im.apply

Apply Function Pixelwise to List of Images
crossdist.pp3

Pairwise distances between two different three-dimensional point patterns
distmap.psp

Distance Map of Line Segment Pattern
im.object

Class of Images
fitted.ppm

Fitted Conditional Intensity for Point Process Model
dppBessel

Bessel Type Determinantal Point Process Model
dppCauchy

Generalized Cauchy Determinantal Point Process Model
incircle

Find Largest Circle Inside Window
grow.rectangle

Add margins to rectangle
increment.fv

Increments of a Function
harmonic

Basis for Harmonic Functions
intensity.ppm

Intensity of Fitted Point Process Model
infline

Infinite Straight Lines
dppkernel

Extract Kernel from Determinantal Point Process Model Object
has.close

Check Whether Points Have Close Neighbours
headtail

First or Last Part of a Spatial Pattern
intensity.ppp

Empirical Intensity of Point Pattern
hist.im

Histogram of Pixel Values in an Image
influence.ppm

Influence Measure for Spatial Point Process Model
hextess

Hexagonal Grid or Tessellation
integral.im

Integral of a Pixel Image
dppm

Fit Determinantal Point Process Model
integral.linim

Integral on a Linear Network
interp.im

Interpolate a Pixel Image
identify.ppp

Identify Points in a Point Pattern
identify.psp

Identify Segments in a Line Segment Pattern
hopskel

Hopkins-Skellam Test
intersect.owin

Intersection, Union or Set Subtraction of Windows
is.marked

Test Whether Marks Are Present
is.marked.ppm

Test Whether A Point Process Model is Marked
inside.boxx

Test Whether Points Are Inside A Multidimensional Box
inside.owin

Test Whether Points Are Inside A Window
delaunayDistance

Distance on Delaunay Triangulation
edges

Extract Boundary Edges of a Window.
intensity.dppm

Intensity of Determinantal Point Process Model
intensity.lpp

Empirical Intensity of Point Pattern on Linear Network
edges2triangles

List Triangles in a Graph
delaunayNetwork

Linear Network of Delaunay Triangulation or Dirichlet Tessellation
intensity.ppx

Intensity of a Multidimensional Space-Time Point Pattern
eroded.areas

Areas of Morphological Erosions
is.multitype.ppm

Test Whether A Point Process Model is Multitype
is.ppp

Test Whether An Object Is A Point Pattern
erosion

Morphological Erosion by a Disc
densityfun.ppp

Kernel Estimate of Intensity as a Spatial Function
intensity.psp

Empirical Intensity of Line Segment Pattern
linim

Create Pixel Image on Linear Network
deriv.fv

Calculate Derivative of Function Values
is.rectangle

Determine Type of Window
is.multitype.ppp

Test Whether A Point Pattern is Multitype
eval.fv

Evaluate Expression Involving Functions
msr

Signed or Vector-Valued Measure
eval.im

Evaluate Expression Involving Pixel Images
intensity.quadratcount

Intensity Estimates Using Quadrat Counts
dg.test

Dao-Genton Adjusted Goodness-Of-Fit Test
interp.colourmap

Interpolate smoothly between specified colours
diagnose.ppm

Diagnostic Plots for Fitted Point Process Model
is.connected

Determine Whether an Object is Connected
is.convex

Test Whether a Window is Convex
linearpcfcross

Multitype Pair Correlation Function (Cross-type) for Linear Point Pattern
is.dppm

Recognise Fitted Determinantal Point Process Models
layout.boxes

Generate a Row or Column Arrangement of Rectangles.
fitted.slrm

Fitted Probabilities for Spatial Logistic Regression
fixef.mppm

Extract Fixed Effects from Point Process Model
laslett

Laslett's Transform
linearKcross

Multitype K Function (Cross-type) for Linear Point Pattern
latest.news

Print News About Latest Version of Package
levelset

Level Set of a Pixel Image
gridweights

Compute Quadrature Weights Based on Grid Counts
grow.boxx

Add margins to box in any dimension
kernel.moment

Moment of Smoothing Kernel
pcfcross

Multitype pair correlation function (cross-type)
hierpair.family

Hierarchical Pairwise Interaction Process Family
joinVertices

Join Vertices in a Network
istat

Point and Click Interface for Exploratory Analysis of Point Pattern
is.connected.ppp

Determine Whether a Point Pattern is Connected
hist.funxy

Histogram of Values of a Spatial Function
hybrid.family

Hybrid Interaction Family
linfun

Function on a Linear Network
lineardisc

Compute Disc of Given Radius in Linear Network
layered

Create List of Plotting Layers
kernel.squint

Integral of Squared Kernel
dimhat

Estimate Dimension of Central Subspace
is.multitype

Test whether Object is Multitype
is.marked.ppp

Test Whether A Point Pattern is Marked
lohboot

Bootstrap Confidence Bands for Summary Function
dirichlet

Dirichlet Tessellation of Point Pattern
divide.linnet

Divide Linear Network at Cut Points
hyperframe

Hyper Data Frame
dkernel

Kernel distributions and random generation
kernel.factor

Scale factor for density kernel
lengths.psp

Lengths of Line Segments
localpcf

Local pair correlation function
imcov

Spatial Covariance of a Pixel Image
is.owin

Test Whether An Object Is A Window
linearKdot.inhom

Inhomogeneous multitype K Function (Dot-type) for Linear Point Pattern
lineardirichlet

Dirichlet Tessellation on a Linear Network
is.ppm

Test Whether An Object Is A Fitted Point Process Model
improve.kppm

Improve Intensity Estimate of Fitted Cluster Point Process Model
dppapproxpcf

Approximate Pair Correlation Function of Determinantal Point Process Model
logLik.dppm

Log Likelihood and AIC for Fitted Determinantal Point Process Model
linnet

Create a Linear Network
dppeigen

Internal function calculating eig and index
ord.family

Ord Interaction Process Family
lurking.mppm

Lurking Variable Plot for Multiple Point Patterns
linearpcf

Linear Pair Correlation Function
leverage.ppm

Leverage Measure for Spatial Point Process Model
linearKinhom

Inhomogeneous Linear K Function
marktable

Tabulate Marks in Neighbourhood of Every Point in a Point Pattern
layerplotargs

Extract or Replace the Plot Arguments of a Layered Object
lpp

Create Point Pattern on Linear Network
dppspecdenrange

Range of Spectral Density of a Determinantal Point Process Model
linearK

Linear K Function
matchingdist

Distance for a Point Pattern Matching
iplot

Point and Click Interface for Displaying Spatial Data
kaplan.meier

Kaplan-Meier Estimator using Histogram Data
ippm

Fit Point Process Model Involving Irregular Trend Parameters
lut

Lookup Tables
is.im

Test Whether An Object Is A Pixel Image
is.lpp

Test Whether An Object Is A Point Pattern on a Linear Network
methods.rhohat

Methods for Intensity Functions of Spatial Covariate
markvario

Mark Variogram
methods.dppm

Methods for Determinantal Point Process Models
is.stationary

Recognise Stationary and Poisson Point Process Models
methods.slrm

Methods for Spatial Logistic Regression Models
methods.ssf

Methods for Spatially Sampled Functions
is.subset.owin

Determine Whether One Window is Contained In Another
linequad

Quadrature Scheme on a Linear Network
logLik.mppm

Log Likelihood and AIC for Multiple Point Process Model
pool.anylist

Pool Data from a List of Objects
km.rs

Kaplan-Meier and Reduced Sample Estimator using Histograms
emend

Force Model to be Valid
dummify

Convert Data to Numeric Values by Constructing Dummy Variables
emend.ppm

Force Point Process Model to be Valid
markstat

Summarise Marks in Every Neighbourhood in a Point Pattern
methods.unitname

Methods for Units
kppm

Fit Cluster or Cox Point Process Model
methods.fii

Methods for Fitted Interactions
mppm

Fit Point Process Model to Several Point Patterns
measureVariation

Positive and Negative Parts, and Variation, of a Measure
nnmap

K-th Nearest Point Map
methods.linfun

Methods for Functions on Linear Network
matclust.estpcf

Fit the Matern Cluster Point Process by Minimum Contrast Using Pair Correlation
measureContinuous

Discrete and Continuous Components of a Measure
logLik.kppm

Log Likelihood and AIC for Fitted Cox or Cluster Point Process Model
envelope.pp3

Simulation Envelopes of Summary Function for 3D Point Pattern
envelopeArray

Array of Simulation Envelopes of Summary Function
lixellate

Subdivide Segments of a Network
pixelquad

Quadrature Scheme Based on Pixel Grid
lgcp.estK

Fit a Log-Gaussian Cox Point Process by Minimum Contrast
nndist

Nearest neighbour distances
model.images

Compute Images of Constructed Covariates
exactMPLEstrauss

Exact Maximum Pseudolikelihood Estimate for Stationary Strauss Process
expand.owin

Apply Expansion Rule
flipxy

Exchange X and Y Coordinates
nnorient

Nearest Neighbour Orientation Distribution
lurking

Lurking Variable Plot
foo

Foo is Not a Real Name
markconnect

Mark Connection Function
methods.layered

Methods for Layered Objects
funxy

Spatial Function Class
fv

Create a Function Value Table
pairdist.lpp

Pairwise shortest-path distances between points on a linear network
nndist.lpp

Nearest neighbour distances on a linear network
pcfmulti

Marked pair correlation function
lgcp.estpcf

Fit a Log-Gaussian Cox Point Process by Minimum Contrast
nnfun

Nearest Neighbour Index Map as a Function
pairwise.family

Pairwise Interaction Process Family
plot.slrm

Plot a Fitted Spatial Logistic Regression
midpoints.psp

Midpoints of Line Segment Pattern
nnmark

Mark of Nearest Neighbour
overlap.owin

Compute Area of Overlap
plot.pp3

Plot a Three-Dimensional Point Pattern
linearpcfdot.inhom

Inhomogeneous Multitype Pair Correlation Function (Dot-type) for Linear Point Pattern
nestsplit

Nested Split
markcorr

Mark Correlation Function
linearKcross.inhom

Inhomogeneous multitype K Function (Cross-type) for Linear Point Pattern
harmonise

Make Objects Compatible
lppm

Fit Point Process Model to Point Pattern on Linear Network
pairdist.default

Pairwise distances
lintess

Tessellation on a Linear Network
linearKdot

Multitype K Function (Dot-type) for Linear Point Pattern
model.matrix.mppm

Extract Design Matrix of Point Process Model for Several Point Patterns
pairdist.psp

Pairwise distances between line segments
linearpcfinhom

Inhomogeneous Linear Pair Correlation Function
harmonise.fv

Make Function Tables Compatible
linearpcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-type) for Linear Point Pattern
methods.ppx

Methods for Multidimensional Space-Time Point Patterns
methods.rho2hat

Methods for Intensity Functions of Two Spatial Covariates
pcf.ppp

Pair Correlation Function of Point Pattern
nnclean

Nearest Neighbour Clutter Removal
methods.linim

Methods for Images on a Linear Network
nndist.ppx

Nearest Neighbour Distances in Any Dimensions
methods.zclustermodel

Methods for Cluster Models
linearpcfdot

Multitype Pair Correlation Function (Dot-type) for Linear Point Pattern
plot.colourmap

Plot a Colour Map
miplot

Morisita Index Plot
inforder.family

Infinite Order Interaction Family
marks.tess

Marks of a Tessellation
insertVertices

Insert New Vertices in a Linear Network
integral.msr

Integral of a Measure
mincontrast

Method of Minimum Contrast
npoints

Number of Points in a Point Pattern
matrixpower

Power of a Matrix
nearestsegment

Find Line Segment Nearest to Each Point
marks.psp

Marks of a Line Segment Pattern
methods.linnet

Methods for Linear Networks
perspPoints

Draw Points or Lines on a Surface Viewed in Perspective
perimeter

Perimeter Length of Window
methods.boxx

Methods for Multi-Dimensional Box
plot.ppm

plot a Fitted Point Process Model
matclust.estK

Fit the Matern Cluster Point Process by Minimum Contrast
nncross

Nearest Neighbours Between Two Patterns
pixelcentres

Extract Pixel Centres as Point Pattern
nsegments

Number of Line Segments in a Line Segment Pattern
plot.scan.test

Plot Result of Scan Test
intensity

Intensity of a Dataset or a Model
prune.rppm

Prune a Recursively Partitioned Point Process Model
plot.dppm

Plot a fitted determinantal point process
quadrat.test.splitppp

Dispersion Test of CSR for Split Point Pattern Based on Quadrat Counts
nnwhich.lpp

Identify Nearest Neighbours on a Linear Network
methods.lppm

Methods for Fitted Point Process Models on a Linear Network
methods.lpp

Methods for Point Patterns on a Linear Network
nnwhich.ppx

Nearest Neighbours in Any Dimensions
mergeLevels

Merge Levels of a Factor
nncross.lpp

Nearest Neighbours on a Linear Network
nncorr

Nearest-Neighbour Correlation Indices of Marked Point Pattern
predict.rppm

Make Predictions From a Recursively Partitioned Point Process Model
maxnndist

Compute Minimum or Maximum Nearest-Neighbour Distance
plot.texturemap

Plot a Texture Map
nncross.pp3

Nearest Neighbours Between Two Patterns in 3D
nndensity.ppp

Estimate Intensity of Point Pattern Using Nearest Neighbour Distances
plot.leverage.ppm

Plot Leverage Function
nvertices

Count Number of Vertices
model.matrix.ppm

Extract Design Matrix from Point Process Model
plot.bermantest

Plot Result of Berman Test
pcf.fv

Pair Correlation Function obtained from K Function
intersect.tess

Intersection of Two Tessellations
parameters

Extract Model Parameters in Understandable Form
pcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-Type)
plot.linim

Plot Pixel Image on Linear Network
pcfinhom

Inhomogeneous Pair Correlation Function
plot.kppm

Plot a fitted cluster point process
rMosaicField

Mosaic Random Field
is.hybrid

Test Whether Object is a Hybrid
methods.distfun

Geometrical Operations for Distance Functions
methods.box3

Methods for Three-Dimensional Box
invoke.symbolmap

Plot Data Using Graphics Symbol Map
quadratresample

Resample a Point Pattern by Resampling Quadrats
nnfun.lpp

Nearest Neighbour Map on Linear Network
nobjects

Count Number of Geometrical Objects in a Spatial Dataset
nndist.pp3

Nearest neighbour distances in three dimensions
nnwhich

Nearest neighbour
pool

Pool Data
model.matrix.slrm

Extract Design Matrix from Spatial Logistic Regression Model
predict.ppm

Prediction from a Fitted Point Process Model
plot.anylist

Plot a List of Things
is.empty

Test Whether An Object Is Empty
parres

Partial Residuals for Point Process Model
pairdist.ppx

Pairwise Distances in Any Dimensions
pairdist.ppp

Pairwise distances
pairorient

Point Pair Orientation Distribution
plot.im

Plot a Pixel Image
predict.slrm

Predicted or Fitted Values from Spatial Logistic Regression
quantile.density

Quantiles of a Density Estimate
npfun

Dummy Function Returns Number of Points
pairs.im

Scatterplot Matrix for Pixel Images
plot.yardstick

Plot a Yardstick or Scale Bar
plot.psp

plot a Spatial Line Segment Pattern
summary.listof

Summary of a List of Things
mean.im

Mean and Median of Pixel Values in an Image
relrisk.ppp

Nonparametric Estimate of Spatially-Varying Relative Risk
panel.contour

Panel Plots using Colour Image or Contour Lines
plot.ppp

plot a Spatial Point Pattern
project2set

Find Nearest Point in a Region
plot.fv

Plot Function Values
linearmarkequal

Mark Connection Function for Multitype Point Pattern on Linear Network
print.im

Print Brief Details of an Image
pcfdot

Multitype pair correlation function (i-to-any)
pcf3est

Pair Correlation Function of a Three-Dimensional Point Pattern
plot.hyperframe

Plot Entries in a Hyperframe
plot.layered

Layered Plot
quantess

Quantile Tessellation
quadratcount

Quadrat counting for a point pattern
nnwhich.pp3

Nearest neighbours in three dimensions
plot.cdftest

Plot a Spatial Distribution Test
rmhstart

Determine Initial State for Metropolis-Hastings Simulation.
plot.quadrattest

Display the result of a quadrat counting test.
linearmarkconnect

Mark Connection Function for Multitype Point Pattern on Linear Network
pairs.linim

Scatterplot Matrix for Pixel Images on a Linear Network
pcfdot.inhom

Inhomogeneous Multitype Pair Correlation Function (Type-i-To-Any-Type)
plot.symbolmap

Plot a Graphics Symbol Map
ppm.ppp

Fit Point Process Model to Point Pattern Data
logLik.slrm

Loglikelihood of Spatial Logistic Regression
plot.msr

Plot a Signed or Vector-Valued Measure
pixellate

Convert Spatial Object to Pixel Image
ppm

Fit Point Process Model to Data
rMosaicSet

Mosaic Random Set
rVarGamma

Simulate Neyman-Scott Point Process with Variance Gamma cluster kernel
localK

Neighbourhood density function
owin

Create a Window
logLik.ppm

Log Likelihood and AIC for Point Process Model
localKinhom

Inhomogeneous Neighbourhood Density Function
owin.object

Class owin
pixellate.owin

Convert Window to Pixel Image
ppm.object

Class of Fitted Point Process Models
plot.imlist

Plot a List of Images
nnfromvertex

Nearest Data Point From Each Vertex in a Network
print.quad

Print a Quadrature Scheme
plot.laslett

Plot Laslett Transform
rags

Alternating Gibbs Sampler for Multitype Point Processes
project2segment

Move Point To Nearest Line
plot.listof

Plot a List of Things
plot.onearrow

Plot an Arrow
plot.textstring

Plot a Text String
pairdist.pp3

Pairwise distances in Three Dimensions
plot.lpp

Plot Point Pattern on Linear Network
pointsOnLines

Place Points Evenly Along Specified Lines
rescale

Convert dataset to another unit of length
polynom

Polynomial in One or Two Variables
rpoispp3

Generate Poisson Point Pattern in Three Dimensions
rectcontact

Contact Distribution Function using Rectangular Structuring Element
points.lpp

Draw Points on Existing Plot
reach.dppm

Range of Interaction for a Determinantal Point Process Model
ppp

Create a Point Pattern
predict.kppm

Prediction from a Fitted Cluster Point Process Model
persp.im

Perspective Plot of Pixel Image
methods.kppm

Methods for Cluster Point Process Models
psstG

Pseudoscore Diagnostic For Fitted Model against Saturation Alternative
plot.tess

Plot a Tessellation
marks

Marks of a Point Pattern
plot.influence.ppm

Plot Influence Measure
qqplot.ppm

Q-Q Plot of Residuals from Fitted Point Process Model
plot.owin

Plot a Spatial Window
markcrosscorr

Mark Cross-Correlation Function
rescale.im

Convert Pixel Image to Another Unit of Length
mean.linim

Mean, Median, Quantiles of Pixel Values on a Linear Network
pairsat.family

Saturated Pairwise Interaction Point Process Family
plot.linnet

Plot a linear network
rotate.im

Rotate a Pixel Image
ripras

Estimate window from points alone
plot.rppm

Plot a Recursively Partitioned Point Process Model
model.depends

Identify Covariates Involved in each Model Term
plot.studpermutest

Plot a Studentised Permutation Test
methods.funxy

Methods for Spatial Functions
ppp.object

Class of Point Patterns
methods.pp3

Methods for three-dimensional point patterns
methods.objsurf

Methods for Objective Function Surfaces
plot.lintess

Plot a Tessellation on a Linear Network
ppmInfluence

Leverage and Influence Measures for Spatial Point Process Model
nearest.raster.point

Find Pixel Nearest to a Given Point
predict.lppm

Predict Point Process Model on Linear Network
predict.dppm

Prediction from a Fitted Determinantal Point Process Model
rDGS

Perfect Simulation of the Diggle-Gates-Stibbard Process
range.fv

Range of Function Values
predict.mppm

Prediction for Fitted Multiple Point Process Model
psib

Sibling Probability of Cluster Point Process
profilepl

Fit Models by Profile Maximum Pseudolikelihood or AIC
rjitter

Random Perturbation of a Point Pattern
plot.ssf

Plot a Spatially Sampled Function
rescale.psp

Convert Line Segment Pattern to Another Unit of Length
multiplicity.ppp

Count Multiplicity of Duplicate Points
reflect

Reflect In Origin
model.frame.ppm

Extract the Variables in a Point Process Model
nndist.psp

Nearest neighbour distances between line segments
rGaussPoisson

Simulate Gauss-Poisson Process
rStrauss

Perfect Simulation of the Strauss Process
pppmatching.object

Class of Point Matchings
quantile.im

Sample Quantiles of Pixel Image
plot.plotppm

Plot a plotppm Object Created by plot.ppm
rlpp

Random Points on a Linear Network
pixellate.psp

Convert Line Segment Pattern to Pixel Image
pool.rat

Pool Data from Several Ratio Objects
ppx

Multidimensional Space-Time Point Pattern
rPoissonCluster

Simulate Poisson Cluster Process
reach

Interaction Distance of a Point Process
rLGCP

Simulate Log-Gaussian Cox Process
padimage

Pad the Border of a Pixel Image
quadrat.test

Dispersion Test for Spatial Point Pattern Based on Quadrat Counts
quadscheme

Generate a Quadrature Scheme from a Point Pattern
pp3

Three Dimensional Point Pattern
rHardcore

Perfect Simulation of the Hardcore Process
pixellate.ppp

Convert Point Pattern to Pixel Image
print.owin

Print Brief Details of a Spatial Window
rotmean

Rotational Average of a Pixel Image
periodify

Make Periodic Copies of a Spatial Pattern
rPenttinen

Perfect Simulation of the Penttinen Process
progressreport

Print Progress Reports
plot.mppm

plot a Fitted Multiple Point Process Model
pseudoR2

Calculate Pseudo-R-Squared for Point Process Model
quantile.ewcdf

Quantiles of Weighted Empirical Cumulative Distribution Function
rmhmodel.ppm

Interpret Fitted Model for Metropolis-Hastings Simulation.
psst

Pseudoscore Diagnostic For Fitted Model against General Alternative
quadrats

Divide Region into Quadrats
rescale.owin

Convert Window to Another Unit of Length
rmhexpand

Specify Simulation Window or Expansion Rule
print.ppm

Print a Fitted Point Process Model
objsurf

Objective Function Surface
rNeymanScott

Simulate Neyman-Scott Process
rDiggleGratton

Perfect Simulation of the Diggle-Gratton Process
quadrat.test.mppm

Chi-Squared Test for Multiple Point Process Model Based on Quadrat Counts
rthin

Random Thinning
pool.envelope

Pool Data from Several Envelopes
opening

Morphological Opening
rpoispp

Generate Poisson Point Pattern
pairdist

Pairwise distances
rotate.infline

Rotate or Shift Infinite Lines
rescue.rectangle

Convert Window Back To Rectangle
quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern
pcf

Pair Correlation Function
pcf.fasp

Pair Correlation Function obtained from array of K functions
psstA

Pseudoscore Diagnostic For Fitted Model against Area-Interaction Alternative
ragsAreaInter

Alternating Gibbs Sampler for Area-Interaction Process
sharpen

Data Sharpening of Point Pattern
residuals.mppm

Residuals for Point Process Model Fitted to Multiple Point Patterns
rMaternII

Simulate Matern Model II
ranef.mppm

Extract Random Effects from Point Process Model
sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window
tileindex

Determine Which Tile Contains Each Given Point
rMaternI

Simulate Matern Model I
rQuasi

Generate Quasirandom Point Pattern in Given Window
raster.x

Cartesian Coordinates for a Pixel Raster
plot.envelope

Plot a Simulation Envelope
plot.fasp

Plot a Function Array
rdpp

Simulation of a Determinantal Point Process
rMatClust

Simulate Matern Cluster Process
runifpointOnLines

Generate N Uniform Random Points On Line Segments
rshift.ppp

Randomly Shift a Point Pattern
ragsMultiHard

Alternating Gibbs Sampler for Multitype Hard Core Process
rSSI

Simulate Simple Sequential Inhibition
run.simplepanel

Run Point-and-Click Interface
sessionLibs

Print Names and Version Numbers of Libraries Loaded
rcell

Simulate Baddeley-Silverman Cell Process
rat

Ratio object
rmh.default

Simulate Point Process Models using the Metropolis-Hastings Algorithm.
studpermu.test

Studentised Permutation Test
relevel.im

Reorder Levels of a Factor-Valued Image or Pattern
rmhmodel

Define Point Process Model for Metropolis-Hastings Simulation.
plot.quad

Plot a Spatial Quadrature Scheme
rcellnumber

Generate Random Numbers of Points for Cell Process
rmh

Simulate point patterns using the Metropolis-Hastings algorithm.
rescale.ppp

Convert Point Pattern to Another Unit of Length
rmhcontrol

Set Control Parameters for Metropolis-Hastings Algorithm.
rknn

Theoretical Distribution of Nearest Neighbour Distance
regularpolygon

Create A Regular Polygon
residuals.kppm

Residuals for Fitted Cox or Cluster Point Process Model
rounding

Detect Numerical Rounding
tile.areas

Compute Areas of Tiles in a Tessellation
relrisk

Estimate of Spatially-Varying Relative Risk
requireversion

Require a Specific Version of a Package
reload.or.compute

Compute Unless Previously Saved
spatstat.options

Internal Options in Spatstat Package
plot.lppm

Plot a Fitted Point Process Model on a Linear Network
rlinegrid

Generate grid of parallel lines with random displacement
runifpointx

Generate N Uniform Random Points in Any Dimensions
rpoislinetess

Poisson Line Tessellation
rshift.psp

Randomly Shift a Line Segment Pattern
rmh.ppm

Simulate from a Fitted Point Process Model
simplepanel

Simple Point-and-Click Interface Panels
relrisk.ppm

Parametric Estimate of Spatially-Varying Relative Risk
subfits

Extract List of Individual Point Process Models
residuals.ppm

Residuals for Fitted Point Process Model
pool.fasp

Pool Data from Several Function Arrays
rpoisppOnLines

Generate Poisson Point Pattern on Line Segments
rlabel

Random Re-Labelling of Point Pattern
setcov

Set Covariance of a Window
simulate.mppm

Simulate a Point Process Model Fitted to Several Point Patterns
rotate

Rotate
plot.quadratcount

Plot Quadrat Counts
rpoislpp

Poisson Point Process on a Linear Network
residuals.dppm

Residuals for Fitted Determinantal Point Process Model
plot.splitppp

Plot a List of Point Patterns
pppdist

Distance Between Two Point Patterns
rshift

Random Shift
rmpoispp

Generate Multitype Poisson Point Pattern
simulate.ppm

Simulate a Fitted Gibbs Point Process Model
rppm

Recursively Partitioned Point Process Model
rotate.psp

Rotate a Line Segment Pattern
plot.solist

Plot a List of Spatial Objects
test.crossing.psp

Check Whether Segments Cross
rnoise

Random Pixel Noise
round.ppp

Apply Numerical Rounding to Spatial Coordinates
selfcrossing.psp

Crossing Points in a Line Segment Pattern
valid

Check Whether Point Process Model is Valid
rpoint

Generate N Random Points
rmpoint

Generate N Random Multitype Points
runifdisc

Generate N Uniform Random Points in a Disc
runifpoint3

Generate N Uniform Random Points in Three Dimensions
pool.fv

Pool Several Functions
spatdim

Spatial Dimension of a Dataset
scalardilate

Apply Scalar Dilation
runifpoint

Generate N Uniform Random Points
rose

Rose Diagram
rpoisline

Generate Poisson Random Line Process
selfcut.psp

Cut Line Segments Where They Intersect
scaletointerval

Rescale Data to Lie Between Specified Limits
shift

Apply Vector Translation
roc

Receiver Operating Characteristic
solist

List of Two-Dimensional Spatial Objects
spatstat-deprecated

Deprecated spatstat functions
print.ppp

Print Brief Details of a Point Pattern Dataset
shift.psp

Apply Vector Translation To Line Segment Pattern
shift.ppp

Apply Vector Translation To Point Pattern
pool.quadrattest

Pool Several Quadrat Tests
sdrPredict

Compute Predictors from Sufficient Dimension Reduction
split.ppx

Divide Multidimensional Point Pattern into Sub-patterns
solapply

Apply a Function Over a List and Obtain a List of Objects
spatialcdf

Spatial Cumulative Distribution Function
rpoisppx

Generate Poisson Point Pattern in Any Dimensions
print.psp

Print Brief Details of a Line Segment Pattern Dataset
shift.im

Apply Vector Translation To Pixel Image
spatstat-internal

Internal spatstat functions
spatstat-package

The Spatstat Package
rsyst

Simulate systematic random point pattern
unmark

Remove Marks
thomas.estpcf

Fit the Thomas Point Process by Minimum Contrast
triangulate.owin

Decompose Window into Triangles
simplify.owin

Approximate a Polygon by a Simpler Polygon
psp

Create a Line Segment Pattern
ssf

Spatially Sampled Function
simulate.dppm

Simulation of Determinantal Point Process Model
solutionset

Evaluate Logical Expression Involving Pixel Images and Return Region Where Expression is True
summary.ppm

Summarizing a Fitted Point Process Model
vargamma.estK

Fit the Neyman-Scott Cluster Point Process with Variance Gamma kernel
summary.owin

Summary of a Spatial Window
summary.ppp

Summary of a Point Pattern Dataset
stieltjes

Compute Integral of Function Against Cumulative Distribution
triplet.family

Triplet Interaction Family
rtemper

Simulated Annealing or Simulated Tempering for Gibbs Point Processes
summary.im

Summarizing a Pixel Image
spokes

Spokes pattern of dummy points
quad.ppm

Extract Quadrature Scheme Used to Fit a Point Process Model
split.hyperframe

Divide Hyperframe Into Subsets and Reassemble
pppmatching

Create a Point Matching
tess

Create a Tessellation
treeprune

Prune Tree to Given Level
rex

Richardson Extrapolation
volume

Volume of an Object
unstack.ppp

Separate Multiple Columns of Marks
quad.object

Class of Quadrature Schemes
treebranchlabels

Label Vertices of a Tree by Branch Membership
split.ppp

Divide Point Pattern into Sub-patterns
runiflpp

Uniform Random Points on a Linear Network
valid.detpointprocfamily

Check Validity of a Determinantal Point Process Model
stienen

Stienen Diagram
segregation.test

Test of Spatial Segregation of Types
psp.object

Class of Line Segment Patterns
square

Square Window
with.msr

Evaluate Expression Involving Components of a Measure
subspaceDistance

Distance Between Linear Spaces
shift.owin

Apply Vector Translation To Window
tilenames

Names of Tiles in a Tessellation
summary.kppm

Summarizing a Fitted Cox or Cluster Point Process Model
tile.lengths

Compute Lengths of Tiles in a Tessellation on a Network
rCauchy

Simulate Neyman-Scott Point Process with Cauchy cluster kernel
varcount

Predicted Variance of the Number of Points
tweak.colourmap

Change Colour Values in a Colour Map
unstack.solist

Unstack Each Spatial Object in a List of Objects
text.ppp

Add Text Labels to Spatial Pattern
timeTaken

Extract the Total Computation Time
sumouter

Compute Quadratic Forms
weighted.median

Weighted Median, Quantiles or Variance
simulate.lppm

Simulate a Fitted Point Process Model on a Linear Network
vertices

Vertices of a Window
quasirandom

Quasirandom Patterns
vcov.kppm

Variance-Covariance Matrix for a Fitted Cluster Point Process Model
trim.rectangle

Cut margins from rectangle
tiles

Extract List of Tiles in a Tessellation
reduced.sample

Reduced Sample Estimator using Histogram Data
superimpose

Superimpose Several Geometric Patterns
thomas.estK

Fit the Thomas Point Process by Minimum Contrast
vargamma.estpcf

Fit the Neyman-Scott Cluster Point Process with Variance Gamma kernel
union.quad

Union of Data and Dummy Points
unique.ppp

Extract Unique Points from a Spatial Point Pattern
update.interact

Update an Interpoint Interaction
rStraussHard

Perfect Simulation of the Strauss-Hardcore Process
update.kppm

Update a Fitted Cluster Point Process Model
summary.anylist

Summary of a List of Things
texturemap

Texture Map
vcov.slrm

Variance-Covariance Matrix for a Fitted Spatial Logistic Regression
with.fv

Evaluate an Expression in a Function Table
stratrand

Stratified random point pattern
simulate.kppm

Simulate a Fitted Cluster Point Process Model
unitname

Name for Unit of Length
rThomas

Simulate Thomas Process
summary.distfun

Summarizing a Function of Spatial Location
tiles.empty

Check For Empty Tiles in a Tessellation
timed

Record the Computation Time
with.ssf

Evaluate Expression in a Spatially Sampled Function
update.ppm

Update a Fitted Point Process Model
rectdistmap

Distance Map Using Rectangular Distance Metric
zclustermodel

Cluster Point Process Model
yardstick

Text, Arrow or Scale Bar in a Diagram
summary.splitppp

Summary of a Split Point Pattern
rhohat

Smoothing Estimate of Intensity as Function of a Covariate
varblock

Estimate Variance of Summary Statistic by Subdivision
rgbim

Create Colour-Valued Pixel Image
valid.ppm

Check Whether Point Process Model is Valid
rmhmodel.list

Define Point Process Model for Metropolis-Hastings Simulation.
suffstat

Sufficient Statistic of Point Process Model
rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.
rho2hat

Smoothed Relative Density of Pairs of Covariate Values
summary.solist

Summary of a List of Spatial Objects
vcov.mppm

Calculate Variance-Covariance Matrix for Fitted Multiple Point Process Model
vcov.ppm

Variance-Covariance Matrix for a Fitted Point Process Model
simulate.slrm

Simulate a Fitted Spatial Logistic Regression Model
rotate.owin

Rotate a Window
with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe
zapsmall.im

Rounding of Pixel Values
update.detpointprocfamily

Set Parameter Values in a Determinantal Point Process Model
rstrat

Simulate Stratified Random Point Pattern
scanLRTS

Likelihood Ratio Test Statistic for Scan Test
sdr

Sufficient Dimension Reduction
rotate.ppp

Rotate a Point Pattern
rshift.splitppp

Randomly Shift a List of Point Patterns
scan.test

Spatial Scan Test
scanpp

Read Point Pattern From Data File
split.im

Divide Image Into Sub-images
slrm

Spatial Logistic Regression
subset.hyperframe

Subset of Hyperframe Satisfying A Condition
subset.ppp

Subset of Point Pattern Satisfying A Condition
summary.quad

Summarizing a Quadrature Scheme
symbolmap

Graphics Symbol Map
split.msr

Divide a Measure into Parts
update.symbolmap

Update a Graphics Symbol Map.
summary.psp

Summary of a Line Segment Pattern Dataset
superimpose.lpp

Superimpose Several Point Patterns on Linear Network
whist

Weighted Histogram
unnormdensity

Weighted kernel smoother
textureplot

Plot Image or Tessellation Using Texture Fill
transect.im

Pixel Values Along a Transect
thinNetwork

Remove Vertices or Segments from a Linear Network
transmat

Convert Pixel Array Between Different Conventions
whichhalfplane

Test Which Side of Infinite Line a Point Falls On
where.max

Find Location of Maximum in a Pixel Image
unstack.msr

Separate a Vector Measure into its Scalar Components
update.rmhcontrol

Update Control Parameters of Metropolis-Hastings Algorithm
will.expand

Test Expansion Rule
Extract.fasp

Extract Subset of Function Array
CDF

Cumulative Distribution Function From Kernel Density Estimate
Emark

Diagnostics for random marking
DiggleGatesStibbard

Diggle-Gates-Stibbard Point Process Model
Extract.fv

Extract or Replace Subset of Function Values
DiggleGratton

Diggle-Gratton model
BadGey

Hybrid Geyer Point Process Model
AreaInter

The Area Interaction Point Process Model
Concom

The Connected Component Process Model