Learn R Programming

⚠️There's a newer version (3.3-1) of this package.Take me there.

spatstat (version 1.62-2)

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.

Copy Link

Version

Install

install.packages('spatstat')

Monthly Downloads

16,015

Version

1.62-2

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

December 10th, 2019

Functions in spatstat (1.62-2)

BadGey

Hybrid Geyer Point Process Model
DiggleGatesStibbard

Diggle-Gates-Stibbard Point Process Model
Emark

Diagnostics for random marking
Concom

The Connected Component Process Model
AreaInter

The Area Interaction Point Process Model
CDF

Cumulative Distribution Function From Kernel Density Estimate
DiggleGratton

Diggle-Gratton model
Extract.fasp

Extract Subset of Function Array
Extract.anylist

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

Extract or Replace Subset of Function Values
Extract.lpp

Extract Subset of Point Pattern on Linear Network
Extract.linim

Extract Subset of Pixel Image on Linear Network
Extract.leverage.ppm

Extract Subset of Leverage Object
Extract.tess

Extract or Replace Subset of Tessellation
Extract.influence.ppm

Extract Subset of Influence Object
Extract.layered

Extract or Replace Subset of a Layered Object
F3est

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

Extract Subset of Multidimensional Point Pattern
Extract.hyperframe

Extract or Replace Subset of Hyperframe
Extract.im

Extract Subset of Image
Extract.psp

Extract Subset of Line Segment Pattern
Extract.msr

Extract Subset of Signed or Vector Measure
Extract.splitppp

Extract or Replace Sub-Patterns
[.ssf

Subset of spatially sampled function
Extract.quad

Subset of Quadrature Scheme
Extract.solist

Extract or Replace Subset of a List of Spatial Objects
Gcom

Model Compensator of Nearest Neighbour Function
Gcross

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

Inhomogeneous Marked G-Function
G3est

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

Residual G Function
Finhom

Inhomogeneous Empty Space Function
Frame

Extract or Change the Containing Rectangle of a Spatial Object
FmultiInhom

Inhomogeneous Marked F-Function
Geyer

Geyer's Saturation Point Process Model
Gfox

Foxall's Distance Functions
Hardcore

The Hard Core Point Process Model
Jdot

Multitype J Function (i-to-any)
Kdot

Multitype K Function (i-to-any)
K3est

K-function of a Three-Dimensional Point Pattern
Extract.listof

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

Extract or Replace Subset of Point Pattern
Kcom

Model Compensator of K Function
Hest

Spherical Contact Distribution Function
Kdot.inhom

Inhomogeneous Multitype K Dot Function
Extract.linnet

Extract Subset of Linear Network
Extract.owin

Extract Subset of Window
Gmulti

Marked Nearest Neighbour Distance Function
Gdot

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

The Hierarchical Strauss Hard Core Point Process Model
Hybrid

Hybrid Interaction Point Process Model
Kmeasure

Reduced Second Moment Measure
Fiksel

The Fiksel Interaction
Jinhom

Inhomogeneous J-function
Fest

Estimate the Empty Space Function or its Hazard Rate
HierStrauss

The Hierarchical Strauss Point Process Model
Jmulti

Marked J Function
HierHard

The Hierarchical Hard Core Point Process Model
Jest

Estimate the J-function
MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model
Kres

Residual K Function
LennardJones

The Lennard-Jones Potential
Kmodel

K Function or Pair Correlation Function of a Point Process Model
Ldot.inhom

Inhomogeneous Multitype L Dot Function
Kmulti.inhom

Inhomogeneous Marked K-Function
Ops.msr

Arithmetic Operations on Measures
Gest

Nearest Neighbour Distance Function G
Jcross

Multitype J Function (i-to-j)
Kmark

Mark-Weighted K Function
Ginhom

Inhomogeneous Nearest Neighbour Function
Kmodel.kppm

K Function or Pair Correlation Function of Cluster Model or Cox model
Ksector

Sector K-function
Kmodel.dppm

K-function or Pair Correlation Function of a Determinantal Point Process Model
Kcross

Multitype K Function (Cross-type)
MultiHard

The Multitype Hard Core Point Process Model
Kscaled

Locally Scaled K-function
Ldot

Multitype L-function (i-to-any)
Kcross.inhom

Inhomogeneous Cross K Function
Lcross.inhom

Inhomogeneous Cross Type L Function
Saturated

Saturated Pairwise Interaction model
Smoothfun.ppp

Smooth Interpolation of Marks as a Spatial Function
Softcore

The Soft Core Point Process Model
Smooth

Spatial smoothing of data
Penttinen

Penttinen Interaction
Pairwise

Generic Pairwise Interaction model
WindowOnly

Extract Window of Spatial Object
Smooth.msr

Smooth a Signed or Vector-Valued Measure
Window

Extract or Change the Window of a Spatial Object
Smooth.fv

Apply Smoothing to Function Values
Math.im

S3 Group Generic methods for images
Iest

Estimate the I-function
Kinhom

Inhomogeneous K-function
affine.im

Apply Affine Transformation To Pixel Image
affine.linnet

Apply Geometrical Transformations to a Linear Network
affine.lpp

Apply Geometrical Transformations to Point Pattern on a Linear Network
MinkowskiSum

Minkowski Sum of Windows
Ord

Generic Ord Interaction model
LambertW

Lambert's W Function
Lcross

Multitype L-function (cross-type)
Kest

K-function
Math.linim

S3 Group Generic Methods for Images on a Linear Network
Math.imlist

S3 Group Generic methods for List of Images
anova.slrm

Analysis of Deviance for Spatial Logistic Regression Models
Kmulti

Marked K-Function
Strauss

The Strauss Point Process Model
Kest.fft

K-function using FFT
anova.mppm

ANOVA for Fitted Point Process Models for Replicated Patterns
anova.lppm

ANOVA for Fitted Point Process Models on Linear Network
affine.ppp

Apply Affine Transformation To Point Pattern
affine.psp

Apply Affine Transformation To Line Segment Pattern
alltypes

Calculate Summary Statistic for All Types in a Multitype Point Pattern
angles.psp

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

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

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

Convert Network Tessellation to Data Frame
as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame
Lest

L-function
Kmodel.ppm

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

Inhomogeneous L-function
PPversion

Transform a Function into its P-P or Q-Q Version
Replace.linim

Reset Values in Subset of Image on Linear Network
adaptive.density

Adaptive Estimate of Intensity of Point Pattern
as.boxx

Convert Data to Multi-Dimensional Box
as.linfun

Convert Data to a Function on a Linear Network
MultiStrauss

The Multitype Strauss Point Process Model
Poisson

Poisson Point Process Model
OrdThresh

Ord's Interaction model
as.data.frame.hyperframe

Coerce Hyperframe to Data Frame
PairPiece

The Piecewise Constant Pairwise Interaction Point Process Model
as.function.leverage.ppm

Convert Leverage Object to Function of Coordinates
SatPiece

Piecewise Constant Saturated Pairwise Interaction Point Process Model
as.mask

Pixel Image Approximation of a Window
affine.tess

Apply Geometrical Transformation To Tessellation
as.data.frame.tess

Convert Tessellation to Data Frame
as.data.frame.envelope

Coerce Envelope to Data Frame
as.function.fv

Convert Function Value Table to Function
add.texture

Fill Plot With Texture
append.psp

Combine Two Line Segment Patterns
as.function.im

Convert Pixel Image to Function of Coordinates
as.linim

Convert to Pixel Image on Linear Network
as.ppp

Convert Data To Class ppp
as.lpp

Convert Data to a Point Pattern on a Linear Network
as.polygonal

Convert a Window to a Polygonal Window
allstats

Calculate four standard summary functions of a point pattern.
bind.fv

Combine Function Value Tables
Replace.im

Reset Values in Subset of Image
as.ppm

Extract Fitted Point Process Model
anyNA.im

Check Whether Image Contains NA Values
boxx

Multi-Dimensional Box
StraussHard

The Strauss / Hard Core Point Process Model
blur

Apply Gaussian Blur to a Pixel Image
as.psp

Convert Data To Class psp
auc

Area Under ROC Curve
as.tess

Convert Data To Tessellation
Triplets

The Triplet Point Process Model
addvar

Added Variable Plot for Point Process Model
Smooth.ppp

Spatial smoothing of observations at irregular points
anylist

List of Objects
as.im

Convert to Pixel Image
Smooth.ssf

Smooth a Spatially Sampled Function
affine

Apply Affine Transformation
Tstat

Third order summary statistic
anova.ppm

ANOVA for Fitted Point Process Models
as.box3

Convert Data to Three-Dimensional Box
as.function.owin

Convert Window to Indicator Function
areaLoss

Difference of Disc Areas
branchlabelfun

Tree Branch Membership Labelling Function
bits.test

Balanced Independent Two-Stage Monte Carlo Test
clickdist

Interactively Measure Distance
bw.frac

Bandwidth Selection Based on Window Geometry
cauchy.estK

Fit the Neyman-Scott cluster process with Cauchy kernel
bw.diggle

Cross Validated Bandwidth Selection for Kernel Density
bdist.points

Distance to Boundary of Window
area.owin

Area of a Window
as.rectangle

Window Frame
as.hyperframe

Convert Data to Hyperframe
as.fv

Convert Data To Class fv
areaGain

Difference of Disc Areas
affine.owin

Apply Affine Transformation To Window
applynbd

Apply Function to Every Neighbourhood in a Point Pattern
as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern
as.function.tess

Convert a Tessellation to a Function
as.linnet.linim

Extract Linear Network from Data on a Linear Network
clickbox

Interactively Define a Rectangle
as.matrix.im

Convert Pixel Image to Matrix or Array
as.data.frame.im

Convert Pixel Image to Data Frame
as.matrix.owin

Convert Pixel Image to Matrix
berman.test

Berman's Tests for Point Process Model
begins

Check Start of Character String
centroid.owin

Centroid of a window
as.layered

Convert Data To Layered Object
as.interact

Extract Interaction Structure
boundingbox

Bounding Box of a Window, Image, or Point Pattern
cauchy.estpcf

Fit the Neyman-Scott cluster process with Cauchy kernel
circdensity

Density Estimation for Circular Data
colouroutputs

Extract or Assign Colour Values in a Colour Map
as.mask.psp

Convert Line Segment Pattern to Binary Pixel Mask
beachcolours

Create Colour Scheme for a Range of Numbers
beginner

Print Introduction For Beginners
bw.stoyan

Stoyan's Rule of Thumb for Bandwidth Selection
border

Border Region of a Window
compatible.fasp

Test Whether Function Arrays Are Compatible
cdf.test

Spatial Distribution Test for Point Pattern or Point Process Model
as.owin

Convert Data To Class owin
clip.infline

Intersect Infinite Straight Lines with a Window
as.linnet.psp

Convert Line Segment Pattern to Linear Network
bdist.tiles

Distance to Boundary of Window
connected

Connected components
clickjoin

Interactively join vertices on a plot
connected.ppp

Connected Components of a Point Pattern
clusterset

Allard-Fraley Estimator of Cluster Feature
closepairs

Close Pairs of Points
concatxy

Concatenate x,y Coordinate Vectors
closepairs.pp3

Close Pairs of Points in 3 Dimensions
clusterfit

Fit Cluster or Cox Point Process Model via Minimum Contrast
coef.mppm

Coefficients of Point Process Model Fitted to Multiple Point Patterns
bounding.box.xy

Convex Hull of Points
bits.envelope

Global Envelopes for Balanced Independent Two-Stage Test
bc.ppm

Bias Correction for Fitted Model
bdist.pixels

Distance to Boundary of Window
as.solist

Convert List of Two-Dimensional Spatial Objects
closing

Morphological Closing
clarkevans

Clark and Evans Aggregation Index
box3

Three-Dimensional Box
dclf.test

Diggle-Cressie-Loosmore-Ford and Maximum Absolute Deviation Tests
covering

Cover Region with Discs
bugfixes

List Recent Bug Fixes
bw.relrisk

Cross Validated Bandwidth Selection for Relative Risk Estimation
bw.lppl

Likelihood Cross Validation Bandwidth Selection for Kernel Density on a Linear Network
compatible.im

Test Whether Pixel Images Are Compatible
by.im

Apply Function to Image Broken Down by Factor
coef.slrm

Coefficients of Fitted Spatial Logistic Regression Model
by.ppp

Apply a Function to a Point Pattern Broken Down by Factor
coef.ppm

Coefficients of Fitted Point Process Model
bw.pcf

Cross Validated Bandwidth Selection for Pair Correlation Function
connected.tess

Connected Components of Tiles of a Tessellation
crossdist

Pairwise distances
dclf.sigtrace

Significance Trace of Cressie-Loosmore-Ford or Maximum Absolute Deviation Test
bw.CvL

Cronie and van Lieshout's Criterion for Bandwidth Selection for Kernel Density
density.splitppp

Kernel Smoothed Intensity of Split Point Pattern
default.expand

Default Expansion Rule for Simulation of Model
density.psp

Kernel Smoothing of Line Segment Pattern or Linear Network
bw.scott

Scott's Rule for Bandwidth Selection for Kernel Density
cbind.hyperframe

Combine Hyperframes by Rows or by Columns
cdf.test.mppm

Spatial Distribution Test for Multiple Point Process Model
boundingcircle

Smallest Enclosing Circle
default.dummy

Generate a Default Pattern of Dummy Points
bw.ppl

Likelihood Cross Validation Bandwidth Selection for Kernel Density
dffit.ppm

Case Deletion Effect Measure of Fitted Model
closetriples

Close Triples of Points
bw.abram

Abramson's Adaptive Bandwidths
dg.envelope

Global Envelopes for Dao-Genton Test
colourmap

Colour Lookup Tables
compatible

Test Whether Objects Are Compatible
crossing.psp

Crossing Points of Two Line Segment Patterns
convexhull.xy

Convex Hull of Points
clickppp

Interactively Add Points
collapse.fv

Collapse Several Function Tables into One
convexhull

Convex Hull
crossdist.pp3

Pairwise distances between two different three-dimensional point patterns
bw.voronoi

Cross Validated Bandwidth Selection for Voronoi Estimator of Intensity on a Network
complement.owin

Take Complement of a Window
chop.linnet

Divide a Linear Network into Tiles Using Infinite Lines
bw.smoothppp

Cross Validated Bandwidth Selection for Spatial Smoothing
clusterfield

Field of clusters
chop.tess

Subdivide a Window or Tessellation using a Set of Lines
dirichletVertices

Vertices and Edges of Dirichlet Tessellation
deletebranch

Delete or Extract a Branch of a Tree
compileK

Generic Calculation of K Function and Pair Correlation Function
crossdist.ppp

Pairwise distances between two different point patterns
crossing.linnet

Crossing Points between Linear Network and Other Lines
connected.linnet

Connected Components of a Linear Network
density.lpp

Kernel Estimate of Intensity on a Linear Network
clarkevans.test

Clark and Evans Test
dirichletAreas

Compute Areas of Tiles in Dirichlet Tessellation
discs

Union of Discs
dppBessel

Bessel Type Determinantal Point Process Model
dg.test

Dao-Genton Adjusted Goodness-Of-Fit Test
dg.progress

Progress Plot of Dao-Genton Test of Spatial Pattern
densityAdaptiveKernel

Adaptive Kernel Estimate of Intensity of Point Pattern
densityVoronoi.lpp

Intensity Estimate of Point Pattern on Linear Network Using Voronoi-Dirichlet Tessellation
contour.imlist

Array of Contour Plots
compatible.fv

Test Whether Function Objects Are Compatible
crossdist.default

Pairwise distances between two different sets of points
contour.im

Contour plot of pixel image
data.ppm

Extract Original Data from a Fitted Point Process Model
crossdist.lpp

Pairwise distances between two point patterns on a linear network
dclf.progress

Progress Plot of Test of Spatial Pattern
compareFit

Residual Diagnostics for Multiple Fitted Models
clusterkernel

Extract Cluster Offspring Kernel
clicklpp

Interactively Add Points on a Linear Network
distcdf

Distribution Function of Interpoint Distance
convexify

Weil's Convexifying Operation
crossdist.ppx

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns
commonGrid

Determine A Common Spatial Domain And Pixel Resolution
clickpoly

Interactively Define a Polygon
cut.lpp

Classify Points in a Point Pattern on a Network
convolve.im

Convolution of Pixel Images
clusterradius

Compute or Extract Effective Range of Cluster Kernel
dppCauchy

Generalized Cauchy Determinantal Point Process Model
cut.im

Convert Pixel Image from Numeric to Factor
delaunayDistance

Distance on Delaunay Triangulation
coords

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
crossdist.psp

Pairwise distances between two different line segment patterns
default.rmhcontrol

Set Default Control Parameters for Metropolis-Hastings Algorithm.
densityQuick.lpp

Kernel Estimation of Intensity on a Network using a 2D Kernel
dilation

Morphological Dilation
dppPowerExp

Power Exponential Spectral Determinantal Point Process Model
eem

Exponential Energy Marks
diagnose.ppm

Diagnostic Plots for Fitted Point Process Model
density.ppp

Kernel Smoothed Intensity of Point Pattern
dim.detpointprocfamily

Dimension of Determinantal Point Process Model
delaunay

Delaunay Triangulation of Point Pattern
delaunayNetwork

Linear Network of Delaunay Triangulation or Dirichlet Tessellation
densityVoronoi

Intensity Estimate of Point Pattern Using Voronoi-Dirichlet Tessellation
diameter.box3

Geometrical Calculations for Three-Dimensional Box
edge.Ripley

Ripley's Isotropic Edge Correction
densityfun.ppp

Kernel Estimate of Intensity as a Spatial Function
dirichletWeights

Compute Quadrature Weights Based on Dirichlet Tessellation
dimhat

Estimate Dimension of Central Subspace
dirichlet

Dirichlet Tessellation of Point Pattern
deriv.fv

Calculate Derivative of Function Values
diameter

Diameter of an Object
dppparbounds

Parameter Bound for a Determinantal Point Process Model
dummify

Convert Data to Numeric Values by Constructing Dummy Variables
distfun

Distance Map as a Function
dfbetas.ppm

Parameter Influence Measure
colourtools

Convert and Compare Colours in Different Formats
data.lppm

Extract Original Data from a Fitted Point Process Model on a Network
dppspecden

Extract Spectral Density from Determinantal Point Process Model Object
domain

Extract the Domain of any Spatial Object
dummy.ppm

Extract Dummy Points Used to Fit a Point Process Model
connected.lpp

Connected Components of a Point Pattern on a Linear Network
cut.ppp

Classify Points in a Point Pattern
dg.sigtrace

Significance Trace of Dao-Genton Test
disc

Circular Window
corners

Corners of a rectangle
duplicated.ppp

Determine Duplicated Points in a Spatial Point Pattern
diameter.owin

Diameter of a Window
edges

Extract Boundary Edges of a Window.
detpointprocfamilyfun

Construct a New Determinantal Point Process Model Family Function
diameter.boxx

Geometrical Calculations for Multi-Dimensional Box
edit.hyperframe

Invoke Text Editor on Hyperframe
fitted.slrm

Fitted Probabilities for Spatial Logistic Regression
deltametric

Delta Metric
dkernel

Kernel distributions and random generation
erosionAny

Morphological Erosion of Windows
distfun.lpp

Distance Map on Linear Network
envelope.pp3

Simulation Envelopes of Summary Function for 3D Point Pattern
eval.fv

Evaluate Expression Involving Functions
dmixpois

Mixed Poisson Distribution
distmap

Distance Map
edit.ppp

Invoke Text Editor on Spatial Data
distmap.psp

Distance Map of Line Segment Pattern
distmap.ppp

Distance Map of Point Pattern
diameter.linnet

Diameter and Bounding Radius of a Linear Network
grow.boxx

Add margins to box in any dimension
fixef.mppm

Extract Fixed Effects from Point Process Model
dppapproxkernel

Approximate Determinantal Point Process Kernel
edges2triangles

List Triangles in a Graph
ellipse

Elliptical Window.
discpartarea

Area of Part of Disc
divide.linnet

Divide Linear Network at Cut Points
dppspecdenrange

Range of Spectral Density of a Determinantal Point Process Model
discretise

Safely Convert Point Pattern Window to Binary Mask
formula.ppm

Model Formulae for Gibbs Point Process Models
dppapproxpcf

Approximate Pair Correlation Function of Determinantal Point Process Model
effectfun

Compute Fitted Effect of a Spatial Covariate in a Point Process Model
eroded.areas

Areas of Morphological Erosions
harmonise.owin

Make Windows Compatible
emend

Force Model to be Valid
fasp.object

Function Arrays for Spatial Patterns
ewcdf

Weighted Empirical Cumulative Distribution Function
eval.linim

Evaluate Expression Involving Pixel Images on Linear Network
incircle

Find Largest Circle Inside Window
emend.ppm

Force Point Process Model to be Valid
dppeigen

Internal function calculating eig and index
edge.Trans

Translation Edge Correction
extrapolate.psp

Extrapolate Line Segments to Obtain Infinite Lines
has.close

Check Whether Points Have Close Neighbours
exactMPLEstrauss

Exact Maximum Pseudolikelihood Estimate for Stationary Strauss Process
invoke.symbolmap

Plot Data Using Graphics Symbol Map
erosion

Morphological Erosion by a Disc
fardist

Farthest Distance to Boundary of Window
foo

Foo is Not a Real Name
envelopeArray

Array of Simulation Envelopes of Summary Function
imcov

Spatial Covariance of a Pixel Image
fitted.mppm

Fitted Conditional Intensity for Multiple Point Process Model
expand.owin

Apply Expansion Rule
intensity.ppp

Empirical Intensity of Point Pattern
dppMatern

Whittle-Matern Determinantal Point Process Model
distmap.owin

Distance Map of Window
dppGauss

Gaussian Determinantal Point Process Model
dppkernel

Extract Kernel from Determinantal Point Process Model Object
dilated.areas

Areas of Morphological Dilations
envelope.lpp

Envelope for Point Patterns on Linear Network
endpoints.psp

Endpoints of Line Segment Pattern
edges2vees

List Dihedral Triples in a Graph
formula.fv

Extract or Change the Plot Formula for a Function Value Table
fitin.ppm

Extract the Interaction from a Fitted Point Process Model
im.object

Class of Images
envelope.envelope

Recompute Envelopes
fv

Create a Function Value Table
harmonise.im

Make Pixel Images Compatible
fitted.ppm

Fitted Conditional Intensity for Point Process Model
dppm

Fit Determinantal Point Process Model
insertVertices

Insert New Vertices in a Linear Network
gridweights

Compute Quadrature Weights Based on Grid Counts
is.multitype.ppm

Test Whether A Point Process Model is Multitype
flipxy

Exchange X and Y Coordinates
gridcentres

Rectangular grid of points
eval.im

Evaluate Expression Involving Pixel Images
grow.rectangle

Add margins to rectangle
hist.funxy

Histogram of Values of a Spatial Function
hist.im

Histogram of Pixel Values in an Image
is.subset.owin

Determine Whether One Window is Contained In Another
intensity.ppm

Intensity of Fitted Point Process Model
improve.kppm

Improve Intensity Estimate of Fitted Cluster Point Process Model
intensity.lpp

Empirical Intensity of Point Pattern on Linear Network
funxy

Spatial Function Class
fryplot

Fry Plot of Point Pattern
linearK

Linear K Function
is.connected

Determine Whether an Object is Connected
influence.ppm

Influence Measure for Spatial Point Process Model
fourierbasis

Fourier Basis Functions
harmonise.msr

Make Measures Compatible
intensity.psp

Empirical Intensity of Line Segment Pattern
intensity.ppx

Intensity of a Multidimensional Space-Time Point Pattern
hextess

Hexagonal Grid or Tessellation
headtail

First or Last Part of a Spatial Pattern
envelope

Simulation Envelopes of Summary Function
inside.owin

Test Whether Points Are Inside A Window
hierpair.family

Hierarchical Pairwise Interaction Process Family
harmonic

Basis for Harmonic Functions
gauss.hermite

Gauss-Hermite Quadrature Approximation to Expectation for Normal Distribution
is.marked

Test Whether Marks Are Present
idw

Inverse-distance weighted smoothing of observations at irregular points
fitted.lppm

Fitted Intensity for Point Process on Linear Network
eval.fasp

Evaluate Expression Involving Function Arrays
fvnames

Abbreviations for Groups of Columns in Function Value Table
latest.news

Print News About Latest Version of Package
hyperframe

Hyper Data Frame
fv.object

Function Value Table
layout.boxes

Generate a Row or Column Arrangement of Rectangles.
identify.ppp

Identify Points in a Point Pattern
im

Create a Pixel Image Object
hybrid.family

Hybrid Interaction Family
harmonise.fv

Make Function Tables Compatible
hopskel

Hopkins-Skellam Test
intersect.lintess

Intersection of Tessellations on a Linear Network
is.convex

Test Whether a Window is Convex
im.apply

Apply Function Pixelwise to List of Images
intersect.owin

Intersection, Union or Set Subtraction of Windows
joinVertices

Join Vertices in a Network
inforder.family

Infinite Order Interaction Family
ippm

Fit Point Process Model Involving Irregular Trend Parameters
intersect.tess

Intersection of Two Tessellations
inside.boxx

Test Whether Points Are Inside A Multidimensional Box
lineardirichlet

Dirichlet Tessellation on a Linear Network
is.rectangle

Determine Type of Window
linequad

Quadrature Scheme on a Linear Network
lut

Lookup Tables
is.ppp

Test Whether An Object Is A Point Pattern
istat

Point and Click Interface for Exploratory Analysis of Point Pattern
is.dppm

Recognise Fitted Determinantal Point Process Models
is.owin

Test Whether An Object Is A Window
increment.fv

Increments of a Function
harmonise

Make Objects Compatible
is.empty

Test Whether An Object Is Empty
laslett

Laslett's Transform
localK

Neighbourhood density function
marks

Marks of a Point Pattern
lineartileindex

Determine Which Tile Contains Each Given Point on a Linear Network
linearKdot.inhom

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

Inhomogeneous Linear K Function
integral.im

Integral of a Pixel Image
is.im

Test Whether An Object Is A Pixel Image
intensity.quadratcount

Intensity Estimates Using Quadrat Counts
methods.boxx

Methods for Multi-Dimensional Box
is.hybrid

Test Whether Object is a Hybrid
intensity.dppm

Intensity of Determinantal Point Process Model
logLik.ppm

Log Likelihood and AIC for Point Process Model
kernel.factor

Scale factor for density kernel
kaplan.meier

Kaplan-Meier Estimator using Histogram Data
is.lpp

Test Whether An Object Is A Point Pattern on a Linear Network
is.multitype.ppp

Test Whether A Point Pattern is Multitype
is.stationary

Recognise Stationary and Poisson Point Process Models
localKdot

Local Multitype K Function (Dot-Type)
layerplotargs

Extract or Replace the Plot Arguments of a Layered Object
layered

Create List of Plotting Layers
lixellate

Subdivide Segments of a Network
intensity

Intensity of a Dataset or a Model
integral.linim

Integral on a Linear Network
is.connected.ppp

Determine Whether a Point Pattern is Connected
logLik.dppm

Log Likelihood and AIC for Fitted Determinantal Point Process Model
identify.psp

Identify Segments in a Line Segment Pattern
integral.msr

Integral of a Measure
interp.colourmap

Interpolate smoothly between specified colours
infline

Infinite Straight Lines
localKinhom

Inhomogeneous Neighbourhood Density Function
lurking.mppm

Lurking Variable Plot for Multiple Point Patterns
is.multitype

Test whether Object is Multitype
iplot

Point and Click Interface for Displaying Spatial Data
linearpcfinhom

Inhomogeneous Linear Pair Correlation Function
is.ppm

Test Whether An Object Is A Fitted Point Process Model
lineardisc

Compute Disc of Given Radius in Linear Network
linearpcfdot.inhom

Inhomogeneous Multitype Pair Correlation Function (Dot-type) for Linear Point Pattern
nndist.ppx

Nearest Neighbour Distances in Any Dimensions
matchingdist

Distance for a Point Pattern Matching
lgcp.estpcf

Fit a Log-Gaussian Cox Point Process by Minimum Contrast
is.marked.ppp

Test Whether A Point Pattern is Marked
levelset

Level Set of a Pixel Image
marks.psp

Marks of a Line Segment Pattern
linearmarkequal

Mark Connection Function for Multitype Point Pattern on Linear Network
km.rs

Kaplan-Meier and Reduced Sample Estimator using Histograms
leverage.ppm

Leverage Measure for Spatial Point Process Model
is.marked.ppm

Test Whether A Point Process Model is Marked
interp.im

Interpolate a Pixel Image
localpcf

Local pair correlation function
kppm

Fit Cluster or Cox Point Process Model
linearpcf

Linear Pair Correlation Function
linearmarkconnect

Mark Connection Function for Multitype Point Pattern on Linear Network
lgcp.estK

Fit a Log-Gaussian Cox Point Process by Minimum Contrast
linearpcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-type) for Linear Point Pattern
kernel.squint

Integral of Squared Kernel
linearKdot

Multitype K Function (Dot-type) for Linear Point Pattern
linearKcross.inhom

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

Multitype K Function (Cross-type) for Linear Point Pattern
kernel.moment

Moment of Smoothing Kernel
linnet

Create a Linear Network
lppm

Fit Point Process Model to Point Pattern on Linear Network
lengths.psp

Lengths of Line Segments
logLik.kppm

Log Likelihood and AIC for Fitted Cox or Cluster Point Process Model
linearpcfdot

Multitype Pair Correlation Function (Dot-type) for Linear Point Pattern
midpoints.psp

Midpoints of Line Segment Pattern
marktable

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

Tessellation on a Linear Network
marks.tess

Marks of a Tessellation
linim

Create Pixel Image on Linear Network
linfun

Function on a Linear Network
localKcross.inhom

Inhomogeneous Multitype K Function
linearpcfcross

Multitype Pair Correlation Function (Cross-type) for Linear Point Pattern
lohboot

Bootstrap Confidence Bands for Summary Function
localKcross

Local Multitype K Function (Cross-Type)
nnmap

K-th Nearest Point Map
methods.rho2hat

Methods for Intensity Functions of Two Spatial Covariates
msr

Signed or Vector-Valued Measure
measureContinuous

Discrete and Continuous Components of a Measure
methods.linim

Methods for Images on a Linear Network
methods.linfun

Methods for Functions on Linear Network
markstat

Summarise Marks in Every Neighbourhood in a Point Pattern
mean.linim

Mean, Median, Quantiles of Pixel Values on a Linear Network
pcf.ppp

Pair Correlation Function of Point Pattern
nearest.raster.point

Find Pixel Nearest to a Given Point
lurking

Lurking Variable Plot
nsegments

Number of Line Segments in a Line Segment Pattern
matclust.estpcf

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

Nearest neighbour distances
methods.linnet

Methods for Linear Networks
mean.im

Mean and Median of Pixel Values in an Image
maxnndist

Compute Minimum or Maximum Nearest-Neighbour Distance
markconnect

Mark Connection Function
nnmark

Mark of Nearest Neighbour
markcorr

Mark Correlation Function
model.depends

Identify Covariates Involved in each Model Term
methods.box3

Methods for Three-Dimensional Box
nndist.psp

Nearest neighbour distances between line segments
lpp

Create Point Pattern on Linear Network
model.frame.ppm

Extract the Variables in a Point Process Model
mergeLevels

Merge Levels of a Factor
methods.kppm

Methods for Cluster Point Process Models
measureVariation

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

Morisita Index Plot
pairs.linim

Scatterplot Matrix for Pixel Images on a Linear Network
methods.layered

Methods for Layered Objects
methods.slrm

Methods for Spatial Logistic Regression Models
periodify

Make Periodic Copies of a Spatial Pattern
methods.ssf

Methods for Spatially Sampled Functions
matclust.estK

Fit the Matern Cluster Point Process by Minimum Contrast
logLik.slrm

Loglikelihood of Spatial Logistic Regression
markvario

Mark Variogram
pairdist.ppp

Pairwise distances
perspPoints

Draw Points or Lines on a Surface Viewed in Perspective
overlap.owin

Compute Area of Overlap
methods.lpp

Methods for Point Patterns on a Linear Network
nncorr

Nearest-Neighbour Correlation Indices of Marked Point Pattern
methods.distfun

Geometrical Operations for Distance Functions
mincontrast

Method of Minimum Contrast
markcrosscorr

Mark Cross-Correlation Function
logLik.mppm

Log Likelihood and AIC for Multiple Point Process Model
methods.rhohat

Methods for Intensity Functions of Spatial Covariate
methods.zclustermodel

Methods for Cluster Models
methods.unitname

Methods for Units
nestsplit

Nested Split
pairdist.ppx

Pairwise Distances in Any Dimensions
methods.pp3

Methods for three-dimensional point patterns
markmarkscatter

Mark-Mark Scatter Plot
model.matrix.slrm

Extract Design Matrix from Spatial Logistic Regression Model
nnclean

Nearest Neighbour Clutter Removal
methods.dppm

Methods for Determinantal Point Process Models
parameters

Extract Model Parameters in Understandable Form
parres

Partial Residuals for Point Process Model
nncross

Nearest Neighbours Between Two Patterns
matrixpower

Power of a Matrix
nearestsegment

Find Line Segment Nearest to Each Point
methods.lppm

Methods for Fitted Point Process Models on a Linear Network
nvertices

Count Number of Vertices
nncross.ppx

Nearest Neighbours Between Two Patterns in Any Dimensions
npfun

Dummy Function Returns Number of Points
nndensity.ppp

Estimate Intensity of Point Pattern Using Nearest Neighbour Distances
nnwhich.ppx

Nearest Neighbours in Any Dimensions
npoints

Number of Points in a Point Pattern
plot.cdftest

Plot a Spatial Distribution Test
pairdist.psp

Pairwise distances between line segments
persp.im

Perspective Plot of Pixel Image
nobjects

Count Number of Geometrical Objects in a Spatial Dataset
model.matrix.mppm

Extract Design Matrix of Point Process Model for Several Point Patterns
nnfromvertex

Nearest Data Point From Each Vertex in a Network
nnwhich.lpp

Identify Nearest Neighbours on a Linear Network
methods.objsurf

Methods for Objective Function Surfaces
nncross.lpp

Nearest Neighbours on a Linear Network
mppm

Fit Point Process Model to Several Point Patterns
methods.fii

Methods for Fitted Interactions
methods.funxy

Methods for Spatial Functions
nndist.lpp

Nearest neighbour distances on a linear network
methods.ppx

Methods for Multidimensional Space-Time Point Patterns
plot.hyperframe

Plot Entries in a Hyperframe
pairsat.family

Saturated Pairwise Interaction Point Process Family
plot.bermantest

Plot Result of Berman Test
owin

Create a Window
multiplicity.ppp

Count Multiplicity of Duplicate Points
model.matrix.ppm

Extract Design Matrix from Point Process Model
pairs.im

Scatterplot Matrix for Pixel Images
plot.owin

Plot a Spatial Window
nnorient

Nearest Neighbour Orientation Distribution
owin.object

Class owin
nndist.pp3

Nearest neighbour distances in three dimensions
pairwise.family

Pairwise Interaction Process Family
nncross.pp3

Nearest Neighbours Between Two Patterns in 3D
pairorient

Point Pair Orientation Distribution
plot.fv

Plot Function Values
ord.family

Ord Interaction Process Family
plot.im

Plot a Pixel Image
nnwhich.pp3

Nearest neighbours in three dimensions
padimage

Pad the Border of a Pixel Image
pixellate

Convert Spatial Object to Pixel Image
pool.envelope

Pool Data from Several Envelopes
psp.object

Class of Line Segment Patterns
pairdist

Pairwise distances
pcfdot

Multitype pair correlation function (i-to-any)
pcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-Type)
pcf.fv

Pair Correlation Function obtained from K Function
nnwhich

Nearest neighbour
print.quad

Print a Quadrature Scheme
plot.slrm

Plot a Fitted Spatial Logistic Regression
plot.texturemap

Plot a Texture Map
pixellate.owin

Convert Window to Pixel Image
plot.splitppp

Plot a List of Point Patterns
plot.leverage.ppm

Plot Leverage Function
plot.psp

plot a Spatial Line Segment Pattern
plot.imlist

Plot a List of Images
plot.linim

Plot Pixel Image on Linear Network
plot.layered

Layered Plot
points.lpp

Draw Points on Existing Plot
plot.colourmap

Plot a Colour Map
plot.lppm

Plot a Fitted Point Process Model on a Linear Network
nnfun

Nearest Neighbour Index Map as a Function
pairdist.lpp

Pairwise shortest-path distances between points on a linear network
pairdist.default

Pairwise distances
objsurf

Objective Function Surface
pcfmulti

Marked pair correlation function
nnfun.lpp

Nearest Neighbour Map on Linear Network
model.images

Compute Images of Constructed Covariates
pcf

Pair Correlation Function
plot.quadrattest

Display the result of a quadrat counting test.
pcfcross

Multitype pair correlation function (cross-type)
opening

Morphological Opening
plot.ppm

plot a Fitted Point Process Model
plot.quadratcount

Plot Quadrat Counts
plot.pp3

Plot a Three-Dimensional Point Pattern
ppm.object

Class of Fitted Point Process Models
plot.laslett

Plot Laslett Transform
pointsOnLines

Place Points Evenly Along Specified Lines
ppm

Fit Point Process Model to Data
plot.envelope

Plot a Simulation Envelope
ppp.object

Class of Point Patterns
pcf3est

Pair Correlation Function of a Three-Dimensional Point Pattern
pcf.fasp

Pair Correlation Function obtained from array of K functions
plot.influence.ppm

Plot Influence Measure
plot.mppm

plot a Fitted Multiple Point Process Model
pixelcentres

Extract Pixel Centres as Point Pattern
plot.kppm

Plot a fitted cluster point process
ppm.ppp

Fit Point Process Model to Point Pattern Data
ppp

Create a Point Pattern
pseudoR2

Calculate Pseudo-R-Squared for Point Process Model
rCauchy

Simulate Neyman-Scott Point Process with Cauchy cluster kernel
print.ppm

Print a Fitted Point Process Model
plot.solist

Plot a List of Spatial Objects
rPenttinen

Perfect Simulation of the Penttinen Process
quasirandom

Quasirandom Patterns
print.owin

Print Brief Details of a Spatial Window
rNeymanScott

Simulate Neyman-Scott Process
pixelquad

Quadrature Scheme Based on Pixel Grid
plot.linnet

Plot a linear network
plot.anylist

Plot a List of Things
pp3

Three Dimensional Point Pattern
plot.textstring

Plot a Text String
perimeter

Perimeter Length of Window
plot.fasp

Plot a Function Array
psib

Sibling Probability of Cluster Point Process
pairdist.pp3

Pairwise distances in Three Dimensions
quadrat.test.splitppp

Dispersion Test of CSR for Split Point Pattern Based on Quadrat Counts
plot.studpermutest

Plot a Studentised Permutation Test
rStraussHard

Perfect Simulation of the Strauss-Hardcore Process
regularpolygon

Create A Regular Polygon
quadratcount

Quadrat counting for a point pattern
relevel.im

Reorder Levels of a Factor-Valued Image or Pattern
rSwitzerlpp

Switzer-type Point Process on Linear Network
plot.quad

Plot a Spatial Quadrature Scheme
rcelllpp

Simulate Cell Process on Linear Network
quadrat.test

Dispersion Test for Spatial Point Pattern Based on Quadrat Counts
rcellnumber

Generate Random Numbers of Points for Cell Process
plot.ppp

plot a Spatial Point Pattern
plot.lintess

Plot a Tessellation on a Linear Network
quad.object

Class of Quadrature Schemes
quantile.ewcdf

Quantiles of Weighted Empirical Cumulative Distribution Function
plot.symbolmap

Plot a Graphics Symbol Map
plot.plotppm

Plot a plotppm Object Created by plot.ppm
plot.pppmatching

Plot a Point Matching
predict.lppm

Predict Point Process Model on Linear Network
pool

Pool Data
plot.ssf

Plot a Spatially Sampled Function
pool.anylist

Pool Data from a List of Objects
rescale.ppp

Convert Point Pattern to Another Unit of Length
pcfdot.inhom

Inhomogeneous Multitype Pair Correlation Function (Type-i-To-Any-Type)
pixellate.psp

Convert Line Segment Pattern to Pixel Image
plot.tess

Plot a Tessellation
rGaussPoisson

Simulate Gauss-Poisson Process
pool.rat

Pool Data from Several Ratio Objects
pixellate.ppp

Convert Point Pattern to Pixel Image
pppmatching

Create a Point Matching
panel.contour

Panel Plots using Colour Image or Contour Lines
plot.dppm

Plot a fitted determinantal point process
print.im

Print Brief Details of an Image
progressreport

Print Progress Reports
pcfinhom

Inhomogeneous Pair Correlation Function
polynom

Polynomial in One or Two Variables
ppmInfluence

Leverage and Influence Measures for Spatial Point Process Model
predict.mppm

Prediction for Fitted Multiple Point Process Model
rdpp

Simulation of a Determinantal Point Process
pppmatching.object

Class of Point Matchings
pool.fasp

Pool Data from Several Function Arrays
quadrats

Divide Region into Quadrats
ppx

Multidimensional Space-Time Point Pattern
rMatClust

Simulate Matern Cluster Process
plot.yardstick

Plot a Yardstick or Scale Bar
profilepl

Fit Models by Profile Maximum Pseudolikelihood or AIC
plot.listof

Plot a List of Things
plot.onearrow

Plot an Arrow
project2segment

Move Point To Nearest Line
predict.rppm

Make Predictions From a Recursively Partitioned Point Process Model
predict.ppm

Prediction from a Fitted Point Process Model
psp

Create a Line Segment Pattern
rescale.psp

Convert Line Segment Pattern to Another Unit of Length
rhohat

Nonparametric Estimate of Intensity as Function of a Covariate
plot.lpp

Plot Point Pattern on Linear Network
plot.msr

Plot a Signed or Vector-Valued Measure
rSSI

Simulate Simple Sequential Inhibition
quadrat.test.mppm

Chi-Squared Test for Multiple Point Process Model Based on Quadrat Counts
rescale.owin

Convert Window to Another Unit of Length
rMaternI

Simulate Matern Model I
rotate.infline

Rotate or Shift Infinite Lines
rmpoispp

Generate Multitype Poisson Point Pattern
ripras

Estimate window from points alone
quadratresample

Resample a Point Pattern by Resampling Quadrats
rectdistmap

Distance Map Using Rectangular Distance Metric
rmhcontrol

Set Control Parameters for Metropolis-Hastings Algorithm.
ragsMultiHard

Alternating Gibbs Sampler for Multitype Hard Core Process
quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern
quadscheme

Generate a Quadrature Scheme from a Point Pattern
rLGCP

Simulate Log-Gaussian Cox Process
rVarGamma

Simulate Neyman-Scott Point Process with Variance Gamma cluster kernel
predict.dppm

Prediction from a Fitted Determinantal Point Process Model
print.ppp

Print Brief Details of a Point Pattern Dataset
polartess

Tessellation Using Polar Coordinates
rDGS

Perfect Simulation of the Diggle-Gates-Stibbard Process
rmhexpand

Specify Simulation Window or Expansion Rule
project2set

Find Nearest Point in a Region
residuals.mppm

Residuals for Point Process Model Fitted to Multiple Point Patterns
rStrauss

Perfect Simulation of the Strauss Process
rectcontact

Contact Distribution Function using Rectangular Structuring Element
rMaternII

Simulate Matern Model II
quantile.im

Sample Quantiles of Pixel Image
rshift.ppp

Randomly Shift a Point Pattern
rotate.owin

Rotate a Window
rThomas

Simulate Thomas Process
reach.dppm

Range of Interaction for a Determinantal Point Process Model
rnoise

Random Pixel Noise
ranef.mppm

Extract Random Effects from Point Process Model
reach

Interaction Distance of a Point Process
predict.kppm

Prediction from a Fitted Cluster Point Process Model
rjitter

Random Perturbation of a Point Pattern
rescale.im

Convert Pixel Image to Another Unit of Length
simulate.mppm

Simulate a Point Process Model Fitted to Several Point Patterns
residuals.kppm

Residuals for Fitted Cox or Cluster Point Process Model
runifpointOnLines

Generate N Uniform Random Points On Line Segments
rmhmodel.list

Define Point Process Model for Metropolis-Hastings Simulation.
rshift

Random Shift
sessionLibs

Print Names and Version Numbers of Libraries Loaded
rstrat

Simulate Stratified Random Point Pattern
rsyst

Simulate systematic random point pattern
rounding

Detect Numerical Rounding
rlpp

Random Points on a Linear Network
relrisk.ppp

Nonparametric Estimate of Spatially-Varying Relative Risk
rmhmodel.ppm

Interpret Fitted Model for Metropolis-Hastings Simulation.
runifpointx

Generate N Uniform Random Points in Any Dimensions
rknn

Theoretical Distribution of Nearest Neighbour Distance
rppm

Recursively Partitioned Point Process Model
rpoisppx

Generate Poisson Point Pattern in Any Dimensions
rpoint

Generate N Random Points
ragsAreaInter

Alternating Gibbs Sampler for Area-Interaction Process
residuals.ppm

Residuals for Fitted Point Process Model
relrisk.ppm

Parametric Estimate of Spatially-Varying Relative Risk
reach.kppm

Range of Interaction for a Cox or Cluster Point Process Model
rthin

Random Thinning
scaletointerval

Rescale Data to Lie Between Specified Limits
pool.fv

Pool Several Functions
plot.scan.test

Plot Result of Scan Test
sdrPredict

Compute Predictors from Sufficient Dimension Reduction
plot.rppm

Plot a Recursively Partitioned Point Process Model
print.psp

Print Brief Details of a Line Segment Pattern Dataset
psst

Pseudoscore Diagnostic For Fitted Model against General Alternative
pool.quadrattest

Pool Several Quadrat Tests
pppdist

Distance Between Two Point Patterns
predict.slrm

Predicted or Fitted Values from Spatial Logistic Regression
shift.owin

Apply Vector Translation To Window
sharpen

Data Sharpening of Point Pattern
setcov

Set Covariance of a Window
rtemper

Simulated Annealing or Simulated Tempering for Gibbs Point Processes
selfcrossing.psp

Crossing Points in a Line Segment Pattern
selfcut.psp

Cut Line Segments Where They Intersect
scalardilate

Apply Scalar Dilation
simulate.lppm

Simulate a Fitted Point Process Model on a Linear Network
simulate.kppm

Simulate a Fitted Cluster Point Process Model
rags

Alternating Gibbs Sampler for Multitype Point Processes
prune.rppm

Prune a Recursively Partitioned Point Process Model
quad.ppm

Extract Quadrature Scheme Used to Fit a Point Process Model
quantess

Quantile Tessellation
simplify.owin

Approximate a Polygon by a Simpler Polygon
rex

Richardson Extrapolation
rHardcore

Perfect Simulation of the Hardcore Process
relrisk

Estimate of Spatially-Varying Relative Risk
residuals.dppm

Residuals for Fitted Determinantal Point Process Model
quantile.density

Quantiles of a Density Estimate
rat

Ratio object
rcell

Simulate Baddeley-Silverman Cell Process
rmh.default

Simulate Point Process Models using the Metropolis-Hastings Algorithm.
rmh

Simulate point patterns using the Metropolis-Hastings algorithm.
roc

Receiver Operating Characteristic
rshift.psp

Randomly Shift a Line Segment Pattern
simulate.ppm

Simulate a Fitted Gibbs Point Process Model
rotate.ppp

Rotate a Point Pattern
rotate.psp

Rotate a Line Segment Pattern
rpoisline

Generate Poisson Random Line Process
rose

Rose Diagram
rshift.splitppp

Randomly Shift a List of Point Patterns
psstA

Pseudoscore Diagnostic For Fitted Model against Area-Interaction Alternative
rotmean

Rotational Average of a Pixel Image
reload.or.compute

Compute Unless Previously Saved
rescale

Convert dataset to another unit of length
rpoislinetess

Poisson Line Tessellation
simulate.dppm

Simulation of Determinantal Point Process Model
rescue.rectangle

Convert Window Back To Rectangle
rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.
rmhmodel

Define Point Process Model for Metropolis-Hastings Simulation.
requireversion

Require a Specific Version of a Package
rpoispp3

Generate Poisson Point Pattern in Three Dimensions
rmh.ppm

Simulate from a Fitted Point Process Model
sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window
run.simplepanel

Run Point-and-Click Interface
psstG

Pseudoscore Diagnostic For Fitted Model against Saturation Alternative
rthinclumps

Random Thinning of Clumps
rMosaicField

Mosaic Random Field
repairNetwork

Repair Internal Data in a Linear Network
range.fv

Range of Function Values
rpoispp

Generate Poisson Point Pattern
rDiggleGratton

Perfect Simulation of the Diggle-Gratton Process
rPoissonCluster

Simulate Poisson Cluster Process
qqplot.ppm

Q-Q Plot of Residuals from Fitted Point Process Model
round.ppp

Apply Numerical Rounding to Spatial Coordinates
rpoisppOnLines

Generate Poisson Point Pattern on Line Segments
sdr

Sufficient Dimension Reduction
scanpp

Read Point Pattern From Data File
simplepanel

Simple Point-and-Click Interface Panels
shift.im

Apply Vector Translation To Pixel Image
shift

Apply Vector Translation
scanLRTS

Likelihood Ratio Test Statistic for Scan Test
scan.test

Spatial Scan Test
reduced.sample

Reduced Sample Estimator using Histogram Data
rQuasi

Generate Quasirandom Point Pattern in Given Window
rMosaicSet

Mosaic Random Set
rlabel

Random Re-Labelling of Point Pattern
raster.x

Cartesian Coordinates for a Pixel Raster
repul.dppm

Repulsiveness Index of a Determinantal Point Process Model
reflect

Reflect In Origin
rgbim

Create Colour-Valued Pixel Image
runifpoint3

Generate N Uniform Random Points in Three Dimensions
rmpoint

Generate N Random Multitype Points
rho2hat

Smoothed Relative Density of Pairs of Covariate Values
rlinegrid

Generate grid of parallel lines with random displacement
rmhstart

Determine Initial State for Metropolis-Hastings Simulation.
rotate.im

Rotate a Pixel Image
rpoislpp

Poisson Point Process on a Linear Network
runifdisc

Generate N Uniform Random Points in a Disc
shift.psp

Apply Vector Translation To Line Segment Pattern
rotate

Rotate
segregation.test

Test of Spatial Segregation of Types
runifpoint

Generate N Uniform Random Points
runiflpp

Uniform Random Points on a Linear Network
shift.ppp

Apply Vector Translation To Point Pattern