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spatstat (version 1.63-2)

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.

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Version

Install

install.packages('spatstat')

Monthly Downloads

16,015

Version

1.63-2

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

February 23rd, 2020

Functions in spatstat (1.63-2)

Smooth.msr

Smooth a Signed or Vector-Valued Measure
Ginhom

Inhomogeneous Nearest Neighbour Function
Extract.msr

Extract Subset of Signed or Vector Measure
HierHard

The Hierarchical Hard Core Point Process Model
Kscaled

Locally Scaled K-function
Emark

Diagnostics for random marking
Extract.lpp

Extract Subset of Point Pattern on Linear Network
Extract.tess

Extract or Replace Subset of Tessellation
Extract.anylist

Extract or Replace Subset of a List of Things
Kest

K-function
Concom

The Connected Component Process Model
Jest

Estimate the J-function
Fiksel

The Fiksel Interaction
F3est

Empty Space Function of a Three-Dimensional Point Pattern
Iest

Estimate the I-function
Fest

Estimate the Empty Space Function or its Hazard Rate
Extract.fasp

Extract Subset of Function Array
HierStrauss

The Hierarchical Strauss Point Process Model
AreaInter

The Area Interaction Point Process Model
Math.imlist

S3 Group Generic methods for List of Images
Extract.fv

Extract or Replace Subset of Function Values
Smooth.fv

Apply Smoothing to Function Values
Hardcore

The Hard Core Point Process Model
Replace.linim

Reset Values in Subset of Image on Linear Network
Extract.linim

Extract Subset of Pixel Image on Linear Network
Jcross

Multitype J Function (i-to-j)
Kest.fft

K-function using FFT
Math.linim

S3 Group Generic Methods for Images on a Linear Network
HierStraussHard

The Hierarchical Strauss Hard Core Point Process Model
BadGey

Hybrid Geyer Point Process Model
as.mask

Pixel Image Approximation of a Window
Smooth

Spatial smoothing of data
Extract.influence.ppm

Extract Subset of Influence Object
Extract.ppx

Extract Subset of Multidimensional Point Pattern
Kdot.inhom

Inhomogeneous Multitype K Dot Function
Extract.hyperframe

Extract or Replace Subset of Hyperframe
Gdot

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

Nearest Neighbour Distance Function G
Extract.layered

Extract or Replace Subset of a Layered Object
Extract.splitppp

Extract or Replace Sub-Patterns
Extract.im

Extract Subset of Image
MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model
GmultiInhom

Inhomogeneous Marked G-Function
[.ssf

Subset of spatially sampled function
CDF

Cumulative Distribution Function From Kernel Density Estimate
Extract.solist

Extract or Replace Subset of a List of Spatial Objects
FmultiInhom

Inhomogeneous Marked F-Function
Ksector

Sector K-function
Extract.psp

Extract Subset of Line Segment Pattern
anova.mppm

ANOVA for Fitted Point Process Models for Replicated Patterns
Math.im

S3 Group Generic methods for images
Finhom

Inhomogeneous Empty Space Function
Lest

L-function
area.owin

Area of a Window
Kmark

Mark-Weighted K Function
adaptive.density

Adaptive Estimate of Intensity of Point Pattern
Extract.leverage.ppm

Extract Subset of Leverage Object
Lcross.inhom

Inhomogeneous Cross Type L Function
Kdot

Multitype K Function (i-to-any)
Hybrid

Hybrid Interaction Point Process Model
MultiHard

The Multitype Hard Core Point Process Model
anyNA.im

Check Whether Image Contains NA Values
Gmulti

Marked Nearest Neighbour Distance Function
Ops.msr

Arithmetic Operations on Measures
Ldot

Multitype L-function (i-to-any)
anova.slrm

Analysis of Deviance for Spatial Logistic Regression Models
Hest

Spherical Contact Distribution Function
Extract.quad

Subset of Quadrature Scheme
as.linfun

Convert Data to a Function on a Linear Network
Jdot

Multitype J Function (i-to-any)
affine.lpp

Apply Geometrical Transformations to Point Pattern on a Linear Network
Ord

Generic Ord Interaction model
Jmulti

Marked J Function
Frame

Extract or Change the Containing Rectangle of a Spatial Object
LambertW

Lambert's W Function
G3est

Nearest Neighbour Distance Distribution Function of a Three-Dimensional Point Pattern
Smooth.ppp

Spatial smoothing of observations at irregular points
add.texture

Fill Plot With Texture
affine.owin

Apply Affine Transformation To Window
MinkowskiSum

Minkowski Sum of Windows
Kinhom

Inhomogeneous K-function
Kmulti

Marked K-Function
Jinhom

Inhomogeneous J-function
PPversion

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

The Piecewise Constant Pairwise Interaction Point Process Model
Kmodel.ppm

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

Residual G Function
Lcross

Multitype L-function (cross-type)
as.data.frame.tess

Convert Tessellation to Data Frame
bw.diggle

Cross Validated Bandwidth Selection for Kernel Density
beginner

Print Introduction For Beginners
as.function.fv

Convert Function Value Table to Function
Kcross

Multitype K Function (Cross-type)
affine.tess

Apply Geometrical Transformation To Tessellation
anylist

List of Objects
OrdThresh

Ord's Interaction model
Kmulti.inhom

Inhomogeneous Marked K-Function
areaLoss

Difference of Disc Areas
Linhom

Inhomogeneous L-function
Kcross.inhom

Inhomogeneous Cross K Function
Kmodel.dppm

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

Inhomogeneous Multitype L Dot Function
areaGain

Difference of Disc Areas
begins

Check Start of Character String
Kres

Residual K Function
beachcolours

Create Colour Scheme for a Range of Numbers
dg.test

Dao-Genton Adjusted Goodness-Of-Fit Test
Saturated

Saturated Pairwise Interaction model
anova.lppm

ANOVA for Fitted Point Process Models on Linear Network
Extract.linnet

Extract Subset of Linear Network
Window

Extract or Change the Window of a Spatial Object
as.lpp

Convert Data to a Point Pattern on a Linear Network
affine.linnet

Apply Geometrical Transformations to a Linear Network
append.psp

Combine Two Line Segment Patterns
MultiStrauss

The Multitype Strauss Point Process Model
as.psp

Convert Data To Class psp
affine.im

Apply Affine Transformation To Pixel Image
by.ppp

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

The Triplet Point Process Model
as.boxx

Convert Data to Multi-Dimensional Box
Smooth.ssf

Smooth a Spatially Sampled Function
as.ppm

Extract Fitted Point Process Model
bind.fv

Combine Function Value Tables
as.interact

Extract Interaction Structure
alltypes

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

Third order summary statistic
closing

Morphological Closing
addvar

Added Variable Plot for Point Process Model
as.function.owin

Convert Window to Indicator Function
applynbd

Apply Function to Every Neighbourhood in a Point Pattern
as.data.frame.envelope

Coerce Envelope to Data Frame
as.fv

Convert Data To Class fv
Gcom

Model Compensator of Nearest Neighbour Function
as.ppp

Convert Data To Class ppp
DiggleGratton

Diggle-Gratton model
SatPiece

Piecewise Constant Saturated Pairwise Interaction Point Process Model
complement.owin

Take Complement of a Window
as.layered

Convert Data To Layered Object
Extract.owin

Extract Subset of Window
DiggleGatesStibbard

Diggle-Gates-Stibbard Point Process Model
concatxy

Concatenate x,y Coordinate Vectors
as.polygonal

Convert a Window to a Polygonal Window
Extract.listof

Extract or Replace Subset of a List of Things
as.function.tess

Convert a Tessellation to a Function
bounding.box.xy

Convex Hull of Points
Smoothfun.ppp

Smooth Interpolation of Marks as a Spatial Function
WindowOnly

Extract Window of Spatial Object
Softcore

The Soft Core Point Process Model
branchlabelfun

Tree Branch Membership Labelling Function
cauchy.estK

Fit the Neyman-Scott cluster process with Cauchy kernel
as.rectangle

Window Frame
as.tess

Convert Data To Tessellation
as.mask.psp

Convert Line Segment Pattern to Binary Pixel Mask
Extract.ppp

Extract or Replace Subset of Point Pattern
bw.frac

Bandwidth Selection Based on Window Geometry
colourmap

Colour Lookup Tables
angles.psp

Orientation Angles of Line Segments
bw.voronoi

Cross Validated Bandwidth Selection for Voronoi Estimator of Intensity on a Network
border

Border Region of a Window
affine

Apply Affine Transformation
circdensity

Density Estimation for Circular Data
ellipse

Elliptical Window.
auc

Area Under ROC Curve
as.data.frame.im

Convert Pixel Image to Data Frame
bw.stoyan

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

Apply Function to Image Broken Down by Factor
bc.ppm

Bias Correction for Fitted Model
Geyer

Geyer's Saturation Point Process Model
as.box3

Convert Data to Three-Dimensional Box
allstats

Calculate four standard summary functions of a point pattern.
coef.ppm

Coefficients of Fitted Point Process Model
as.data.frame.hyperframe

Coerce Hyperframe to Data Frame
Pairwise

Generic Pairwise Interaction model
as.hyperframe

Convert Data to Hyperframe
collapse.fv

Collapse Several Function Tables into One
closepairs

Close Pairs of Points
Gcross

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

Model Compensator of K Function
K3est

K-function of a Three-Dimensional Point Pattern
clickdist

Interactively Measure Distance
bits.envelope

Global Envelopes for Balanced Independent Two-Stage Test
Kmeasure

Reduced Second Moment Measure
Gfox

Foxall's Distance Functions
closepairs.pp3

Close Pairs of Points in 3 Dimensions
delaunayDistance

Distance on Delaunay Triangulation
as.linim

Convert to Pixel Image on Linear Network
as.matrix.im

Convert Pixel Image to Matrix or Array
cauchy.estpcf

Fit the Neyman-Scott cluster process with Cauchy kernel
clickjoin

Interactively join vertices on a plot
bugfixes

List Recent Bug Fixes
connected

Connected components
coef.slrm

Coefficients of Fitted Spatial Logistic Regression Model
convexify

Weil's Convexifying Operation
clarkevans

Clark and Evans Aggregation Index
clarkevans.test

Clark and Evans Test
bits.test

Balanced Independent Two-Stage Monte Carlo Test
clickppp

Interactively Add Points
crossing.linnet

Crossing Points between Linear Network and Other Lines
bdist.pixels

Distance to Boundary of Window
bw.ppl

Likelihood Cross Validation Bandwidth Selection for Kernel Density
bw.pcf

Cross Validated Bandwidth Selection for Pair Correlation Function
as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame
eval.fv

Evaluate Expression Involving Functions
convolve.im

Convolution of Pixel Images
cut.ppp

Classify Points in a Point Pattern
blur

Apply Gaussian Blur to a Pixel Image
as.linnet.linim

Extract Linear Network from Data on a Linear Network
clip.infline

Intersect Infinite Straight Lines with a Window
Penttinen

Penttinen Interaction
Kmodel

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

Adaptive Kernel Estimate of Intensity of Point Pattern
Kmodel.kppm

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

The Lennard-Jones Potential
crossdist.default

Pairwise distances between two different sets of points
crossdist.ppx

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns
bw.relrisk

Cross Validated Bandwidth Selection for Relative Risk Estimation
crossdist.lpp

Pairwise distances between two point patterns on a linear network
clicklpp

Interactively Add Points on a Linear Network
clickbox

Interactively Define a Rectangle
as.data.frame.ppp

Coerce Point Pattern to a Data Frame
Poisson

Poisson Point Process Model
bdist.points

Distance to Boundary of Window
clusterradius

Compute or Extract Effective Range of Cluster Kernel
dg.sigtrace

Significance Trace of Dao-Genton Test
cbind.hyperframe

Combine Hyperframes by Rows or by Columns
as.linnet.psp

Convert Line Segment Pattern to Linear Network
compatible.fasp

Test Whether Function Arrays Are Compatible
Strauss

The Strauss Point Process Model
as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern
connected.tess

Connected Components of Tiles of a Tessellation
Replace.im

Reset Values in Subset of Image
delaunayNetwork

Linear Network of Delaunay Triangulation or Dirichlet Tessellation
convexhull.xy

Convex Hull of Points
default.rmhcontrol

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

Berman's Tests for Point Process Model
connected.ppp

Connected Components of a Point Pattern
compileK

Generic Calculation of K Function and Pair Correlation Function
clusterkernel

Extract Cluster Offspring Kernel
affine.ppp

Apply Affine Transformation To Point Pattern
StraussHard

The Strauss / Hard Core Point Process Model
box3

Three-Dimensional Box
as.solist

Convert List of Two-Dimensional Spatial Objects
density.lpp

Kernel Estimate of Intensity on a Linear Network
data.lppm

Extract Original Data from a Fitted Point Process Model on a Network
bw.CvL

Cronie and van Lieshout's Criterion for Bandwidth Selection for Kernel Density
boxx

Multi-Dimensional Box
as.data.frame.lintess

Convert Network Tessellation to Data Frame
bw.abram

Abramson's Adaptive Bandwidths
clickpoly

Interactively Define a Polygon
densityQuick.lpp

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

Estimate Dimension of Central Subspace
detpointprocfamilyfun

Construct a New Determinantal Point Process Model Family Function
dmixpois

Mixed Poisson Distribution
chop.tess

Subdivide a Window or Tessellation using a Set of Lines
compareFit

Residual Diagnostics for Multiple Fitted Models
anova.ppm

ANOVA for Fitted Point Process Models
crossdist.psp

Pairwise distances between two different line segment patterns
affine.psp

Apply Affine Transformation To Line Segment Pattern
idw

Inverse-distance weighted smoothing of observations at irregular points
compatible

Test Whether Objects Are Compatible
dclf.sigtrace

Significance Trace of Cressie-Loosmore-Ford or Maximum Absolute Deviation Test
discpartarea

Area of Part of Disc
dilation

Morphological Dilation
contour.im

Contour plot of pixel image
as.data.frame.owin

Convert Window to Data Frame
chop.linnet

Divide a Linear Network into Tiles Using Infinite Lines
dg.progress

Progress Plot of Dao-Genton Test of Spatial Pattern
clusterset

Allard-Fraley Estimator of Cluster Feature
as.function.leverage.ppm

Convert Leverage Object to Function of Coordinates
coef.mppm

Coefficients of Point Process Model Fitted to Multiple Point Patterns
contour.imlist

Array of Contour Plots
cdf.test

Spatial Distribution Test for Point Pattern or Point Process Model
delaunay

Delaunay Triangulation of Point Pattern
boundingbox

Bounding Box of a Window, Image, or Point Pattern
dim.detpointprocfamily

Dimension of Determinantal Point Process Model
as.function.im

Convert Pixel Image to Function of Coordinates
dclf.test

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

Safely Convert Point Pattern Window to Binary Mask
cut.im

Convert Pixel Image from Numeric to Factor
dfbetas.ppm

Parameter Influence Measure
domain

Extract the Domain of any Spatial Object
fvnames

Abbreviations for Groups of Columns in Function Value Table
edges

Extract Boundary Edges of a Window.
closetriples

Close Triples of Points
envelope.envelope

Recompute Envelopes
densityfun.ppp

Kernel Estimate of Intensity as a Spatial Function
covering

Cover Region with Discs
dppapproxpcf

Approximate Pair Correlation Function of Determinantal Point Process Model
densityVoronoi

Intensity Estimate of Point Pattern Using Voronoi-Dirichlet Tessellation
dirichletWeights

Compute Quadrature Weights Based on Dirichlet Tessellation
as.matrix.owin

Convert Pixel Image to Matrix
dppBessel

Bessel Type Determinantal Point Process Model
convexhull

Convex Hull
dummy.ppm

Extract Dummy Points Used to Fit a Point Process Model
dppparbounds

Parameter Bound for a Determinantal Point Process Model
commonGrid

Determine A Common Spatial Domain And Pixel Resolution
fitted.lppm

Fitted Intensity for Point Process on Linear Network
eval.im

Evaluate Expression Involving Pixel Images
disc

Circular Window
default.dummy

Generate a Default Pattern of Dummy Points
diagnose.ppm

Diagnostic Plots for Fitted Point Process Model
duplicated.ppp

Determine Duplicated Points in a Spatial Point Pattern
distmap.ppp

Distance Map of Point Pattern
dirichlet

Dirichlet Tessellation of Point Pattern
crossdist.pp3

Pairwise distances between two different three-dimensional point patterns
eval.linim

Evaluate Expression Involving Pixel Images on Linear Network
im.apply

Apply Function Pixelwise to List of Images
dppCauchy

Generalized Cauchy Determinantal Point Process Model
as.im

Convert to Pixel Image
fitted.ppm

Fitted Conditional Intensity for Point Process Model
distmap.psp

Distance Map of Line Segment Pattern
hist.funxy

Histogram of Values of a Spatial Function
edges2triangles

List Triangles in a Graph
bdist.tiles

Distance to Boundary of Window
incircle

Find Largest Circle Inside Window
coords

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
as.owin

Convert Data To Class owin
bw.lppl

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

Test Whether Pixel Images Are Compatible
crossdist

Pairwise distances
crossdist.ppp

Pairwise distances between two different point patterns
densityVoronoi.lpp

Intensity Estimate of Point Pattern on Linear Network Using Voronoi-Dirichlet Tessellation
dppspecden

Extract Spectral Density from Determinantal Point Process Model Object
inside.owin

Test Whether Points Are Inside A Window
cut.lpp

Classify Points in a Point Pattern on a Network
dffit.ppm

Case Deletion Effect Measure of Fitted Model
envelope.lpp

Envelope for Point Patterns on Linear Network
divide.linnet

Divide Linear Network at Cut Points
fv.object

Function Value Table
effectfun

Compute Fitted Effect of a Spatial Covariate in a Point Process Model
hist.im

Histogram of Pixel Values in an Image
crossing.psp

Crossing Points of Two Line Segment Patterns
envelopeArray

Array of Simulation Envelopes of Summary Function
envelope.pp3

Simulation Envelopes of Summary Function for 3D Point Pattern
default.expand

Default Expansion Rule for Simulation of Model
identify.psp

Identify Segments in a Line Segment Pattern
boundingcircle

Smallest Enclosing Circle
harmonise.msr

Make Measures Compatible
gauss.hermite

Gauss-Hermite Quadrature Approximation to Expectation for Normal Distribution
harmonise.owin

Make Windows Compatible
intensity.ppp

Empirical Intensity of Point Pattern
dirichletVertices

Vertices and Edges of Dirichlet Tessellation
intensity.ppx

Intensity of a Multidimensional Space-Time Point Pattern
linearpcfdot

Multitype Pair Correlation Function (Dot-type) for Linear Point Pattern
density.ppp

Kernel Smoothed Intensity of Point Pattern
deriv.fv

Calculate Derivative of Function Values
dppm

Fit Determinantal Point Process Model
infline

Infinite Straight Lines
dirichletAreas

Compute Areas of Tiles in Dirichlet Tessellation
ewcdf

Weighted Empirical Cumulative Distribution Function
fv

Create a Function Value Table
dg.envelope

Global Envelopes for Dao-Genton Test
cdf.test.mppm

Spatial Distribution Test for Multiple Point Process Model
fitted.mppm

Fitted Conditional Intensity for Multiple Point Process Model
increment.fv

Increments of a Function
logLik.dppm

Log Likelihood and AIC for Fitted Determinantal Point Process Model
diameter.linnet

Diameter and Bounding Radius of a Linear Network
erosionAny

Morphological Erosion of Windows
integral.im

Integral of a Pixel Image
is.marked.ppm

Test Whether A Point Process Model is Marked
discs

Union of Discs
fitted.slrm

Fitted Probabilities for Spatial Logistic Regression
im.object

Class of Images
grow.rectangle

Add margins to rectangle
distmap.owin

Distance Map of Window
distmap

Distance Map
dppPowerExp

Power Exponential Spectral Determinantal Point Process Model
bw.scott

Scott's Rule for Bandwidth Selection for Kernel Density
bw.smoothppp

Cross Validated Bandwidth Selection for Spatial Smoothing
dppapproxkernel

Approximate Determinantal Point Process Kernel
clusterfield

Field of clusters
edit.hyperframe

Invoke Text Editor on Hyperframe
deletebranch

Delete or Extract a Branch of a Tree
edges2vees

List Dihedral Triples in a Graph
distcdf

Distribution Function of Interpoint Distance
dppkernel

Extract Kernel from Determinantal Point Process Model Object
lengths.psp

Lengths of Line Segments
inside.boxx

Test Whether Points Are Inside A Multidimensional Box
colouroutputs

Extract or Assign Colour Values in a Colour Map
diameter.boxx

Geometrical Calculations for Multi-Dimensional Box
harmonise.fv

Make Function Tables Compatible
centroid.owin

Centroid of a window
improve.kppm

Improve Intensity Estimate of Fitted Cluster Point Process Model
grow.boxx

Add margins to box in any dimension
insertVertices

Insert New Vertices in a Linear Network
intensity.quadratcount

Intensity Estimates Using Quadrat Counts
kernel.factor

Scale factor for density kernel
eroded.areas

Areas of Morphological Erosions
gridcentres

Rectangular grid of points
eval.fasp

Evaluate Expression Involving Function Arrays
iplot

Point and Click Interface for Displaying Spatial Data
eem

Exponential Energy Marks
fixef.mppm

Extract Fixed Effects from Point Process Model
erosion

Morphological Erosion by a Disc
dppeigen

Internal function calculating eig and index
dppMatern

Whittle-Matern Determinantal Point Process Model
hybrid.family

Hybrid Interaction Family
is.multitype

Test whether Object is Multitype
ippm

Fit Point Process Model Involving Irregular Trend Parameters
foo

Foo is Not a Real Name
edit.ppp

Invoke Text Editor on Spatial Data
fardist

Farthest Distance to Boundary of Window
is.ppm

Test Whether An Object Is A Fitted Point Process Model
im

Create a Pixel Image Object
is.marked.ppp

Test Whether A Point Pattern is Marked
extrapolate.psp

Extrapolate Line Segments to Obtain Infinite Lines
flipxy

Exchange X and Y Coordinates
dkernel

Kernel distributions and random generation
colourtools

Convert and Compare Colours in Different Formats
clusterfit

Fit Cluster or Cox Point Process Model via Minimum Contrast
emend

Force Model to be Valid
hopskel

Hopkins-Skellam Test
nndist.psp

Nearest neighbour distances between line segments
emend.ppm

Force Point Process Model to be Valid
linearKinhom

Inhomogeneous Linear K Function
integral.linim

Integral on a Linear Network
gridweights

Compute Quadrature Weights Based on Grid Counts
distfun

Distance Map as a Function
fryplot

Fry Plot of Point Pattern
plot.msr

Plot a Signed or Vector-Valued Measure
intensity.psp

Empirical Intensity of Line Segment Pattern
funxy

Spatial Function Class
intensity

Intensity of a Dataset or a Model
kernel.moment

Moment of Smoothing Kernel
formula.fv

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

Basis for Harmonic Functions
hextess

Hexagonal Grid or Tessellation
intersect.lintess

Intersection of Tessellations on a Linear Network
is.lpp

Test Whether An Object Is A Point Pattern on a Linear Network
harmonise

Make Objects Compatible
compatible.fv

Test Whether Function Objects Are Compatible
linearpcfdot.inhom

Inhomogeneous Multitype Pair Correlation Function (Dot-type) for Linear Point Pattern
edge.Trans

Translation Edge Correction
levelset

Level Set of a Pixel Image
kernel.squint

Integral of Squared Kernel
is.subset.owin

Determine Whether One Window is Contained In Another
hierpair.family

Hierarchical Pairwise Interaction Process Family
is.empty

Test Whether An Object Is Empty
linim

Create Pixel Image on Linear Network
connected.linnet

Connected Components of a Linear Network
is.hybrid

Test Whether Object is a Hybrid
harmonise.im

Make Pixel Images Compatible
connected.lpp

Connected Components of a Point Pattern on a Linear Network
diameter.box3

Geometrical Calculations for Three-Dimensional Box
joinVertices

Join Vertices in a Network
lineardirichlet

Dirichlet Tessellation on a Linear Network
lixellate

Subdivide Segments of a Network
lintess

Tessellation on a Linear Network
nndist

Nearest neighbour distances
is.ppp

Test Whether An Object Is A Point Pattern
interp.colourmap

Interpolate smoothly between specified colours
integral.msr

Integral of a Measure
methods.slrm

Methods for Spatial Logistic Regression Models
model.matrix.ppm

Extract Design Matrix from Point Process Model
corners

Corners of a rectangle
methods.fii

Methods for Fitted Interactions
imcov

Spatial Covariance of a Pixel Image
data.ppm

Extract Original Data from a Fitted Point Process Model
lineardisc

Compute Disc of Given Radius in Linear Network
dclf.progress

Progress Plot of Test of Spatial Pattern
intensity.dppm

Intensity of Determinantal Point Process Model
interp.im

Interpolate a Pixel Image
linearmarkequal

Mark Connection Function for Multitype Point Pattern on Linear Network
logLik.kppm

Log Likelihood and AIC for Fitted Cox or Cluster Point Process Model
intensity.lpp

Empirical Intensity of Point Pattern on Linear Network
is.dppm

Recognise Fitted Determinantal Point Process Models
lurking

Lurking Variable Plot
is.marked

Test Whether Marks Are Present
intersect.owin

Intersection, Union or Set Subtraction of Windows
deltametric

Delta Metric
localK

Neighbourhood density function
measureVariation

Positive and Negative Parts, and Variation, of a Measure
leverage.ppm

Leverage Measure for Spatial Point Process Model
is.connected.ppp

Determine Whether a Point Pattern is Connected
lgcp.estpcf

Fit a Log-Gaussian Cox Point Process by Minimum Contrast
density.splitppp

Kernel Smoothed Intensity of Split Point Pattern
marktable

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

Mark Connection Function for Multitype Point Pattern on Linear Network
density.psp

Kernel Smoothing of Line Segment Pattern or Linear Network
is.connected

Determine Whether an Object is Connected
is.convex

Test Whether a Window is Convex
linnet

Create a Linear Network
markstat

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

Methods for Point Patterns on a Linear Network
lgcp.estK

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

Inhomogeneous multitype K Function (Cross-type) for Linear Point Pattern
matclust.estpcf

Fit the Matern Cluster Point Process by Minimum Contrast Using Pair Correlation
methods.ssf

Methods for Spatially Sampled Functions
methods.dppm

Methods for Determinantal Point Process Models
matclust.estK

Fit the Matern Cluster Point Process by Minimum Contrast
layerplotargs

Extract or Replace the Plot Arguments of a Layered Object
diameter

Diameter of an Object
diameter.owin

Diameter of a Window
kaplan.meier

Kaplan-Meier Estimator using Histogram Data
dilated.areas

Areas of Morphological Dilations
distfun.lpp

Distance Map on Linear Network
mean.im

Mean and Median of Pixel Values in an Image
model.depends

Identify Covariates Involved in each Model Term
nnmap

K-th Nearest Point Map
is.multitype.ppm

Test Whether A Point Process Model is Multitype
km.rs

Kaplan-Meier and Reduced Sample Estimator using Histograms
laslett

Laslett's Transform
layout.boxes

Generate a Row or Column Arrangement of Rectangles.
methods.rhohat

Methods for Intensity Functions of Spatial Covariate
linearK

Linear K Function
kppm

Fit Cluster or Cox Point Process Model
nnfun.lpp

Nearest Neighbour Map on Linear Network
model.frame.ppm

Extract the Variables in a Point Process Model
istat

Point and Click Interface for Exploratory Analysis of Point Pattern
markcorr

Mark Correlation Function
plot.quadrattest

Display the result of a quadrat counting test.
localKcross.inhom

Inhomogeneous Multitype K Function
linearpcf

Linear Pair Correlation Function
linearKcross

Multitype K Function (Cross-type) for Linear Point Pattern
edge.Ripley

Ripley's Isotropic Edge Correction
nndist.lpp

Nearest neighbour distances on a linear network
linearpcfinhom

Inhomogeneous Linear Pair Correlation Function
lurking.mppm

Lurking Variable Plot for Multiple Point Patterns
methods.pp3

Methods for three-dimensional point patterns
markcrosscorr

Mark Cross-Correlation Function
linearpcfcross

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

Local Multitype K Function (Dot-Type)
localKcross

Local Multitype K Function (Cross-Type)
markvario

Mark Variogram
pixellate.ppp

Convert Point Pattern to Pixel Image
dppGauss

Gaussian Determinantal Point Process Model
model.matrix.slrm

Extract Design Matrix from Spatial Logistic Regression Model
nnmark

Mark of Nearest Neighbour
pcf

Pair Correlation Function
has.close

Check Whether Points Have Close Neighbours
lineartileindex

Determine Which Tile Contains Each Given Point on a Linear Network
marks.psp

Marks of a Line Segment Pattern
methods.linfun

Methods for Functions on Linear Network
lpp

Create Point Pattern on Linear Network
dppspecdenrange

Range of Spectral Density of a Determinantal Point Process Model
npfun

Dummy Function Returns Number of Points
dummify

Convert Data to Numeric Values by Constructing Dummy Variables
npoints

Number of Points in a Point Pattern
lohboot

Bootstrap Confidence Bands for Summary Function
endpoints.psp

Endpoints of Line Segment Pattern
envelope

Simulation Envelopes of Summary Function
pcf.fasp

Pair Correlation Function obtained from array of K functions
nestsplit

Nested Split
fasp.object

Function Arrays for Spatial Patterns
methods.layered

Methods for Layered Objects
methods.objsurf

Methods for Objective Function Surfaces
lppm

Fit Point Process Model to Point Pattern on Linear Network
lut

Lookup Tables
matchingdist

Distance for a Point Pattern Matching
linearpcfcross.inhom

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

Create a Window
nncross.lpp

Nearest Neighbours on a Linear Network
exactMPLEstrauss

Exact Maximum Pseudolikelihood Estimate for Stationary Strauss Process
localpcf

Local pair correlation function
pairdist.pp3

Pairwise distances in Three Dimensions
owin.object

Class owin
marks.tess

Marks of a Tessellation
logLik.slrm

Loglikelihood of Spatial Logistic Regression
measureContinuous

Discrete and Continuous Components of a Measure
plot.layered

Layered Plot
pcfinhom

Inhomogeneous Pair Correlation Function
pcfdot.inhom

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

Plot Laslett Transform
plot.bermantest

Plot Result of Berman Test
mppm

Fit Point Process Model to Several Point Patterns
markconnect

Mark Connection Function
nearestsegment

Find Line Segment Nearest to Each Point
expand.owin

Apply Expansion Rule
is.stationary

Recognise Stationary and Poisson Point Process Models
mean.linim

Mean, Median, Quantiles of Pixel Values on a Linear Network
methods.unitname

Methods for Units
pixellate.psp

Convert Line Segment Pattern to Pixel Image
plot.cdftest

Plot a Spatial Distribution Test
plot.lintess

Plot a Tessellation on a Linear Network
nnwhich.ppx

Nearest Neighbours in Any Dimensions
msr

Signed or Vector-Valued Measure
methods.boxx

Methods for Multi-Dimensional Box
padimage

Pad the Border of a Pixel Image
mergeLevels

Merge Levels of a Factor
plot.psp

plot a Spatial Line Segment Pattern
pairs.linim

Scatterplot Matrix for Pixel Images on a Linear Network
quadratcount

Quadrat counting for a point pattern
methods.ppx

Methods for Multidimensional Space-Time Point Patterns
plot.onearrow

Plot an Arrow
methods.distfun

Geometrical Operations for Distance Functions
formula.ppm

Model Formulae for Gibbs Point Process Models
methods.kppm

Methods for Cluster Point Process Models
miplot

Morisita Index Plot
rHardcore

Perfect Simulation of the Hardcore Process
methods.box3

Methods for Three-Dimensional Box
nndist.pp3

Nearest neighbour distances in three dimensions
quadrat.test

Dispersion Test for Spatial Point Pattern Based on Quadrat Counts
fitin.ppm

Extract the Interaction from a Fitted Point Process Model
nobjects

Count Number of Geometrical Objects in a Spatial Dataset
fourierbasis

Fourier Basis Functions
objsurf

Objective Function Surface
methods.rho2hat

Methods for Intensity Functions of Two Spatial Covariates
methods.lppm

Methods for Fitted Point Process Models on a Linear Network
nncross.pp3

Nearest Neighbours Between Two Patterns in 3D
pixelcentres

Extract Pixel Centres as Point Pattern
midpoints.psp

Midpoints of Line Segment Pattern
nncorr

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

Methods for Cluster Models
pairsat.family

Saturated Pairwise Interaction Point Process Family
mincontrast

Method of Minimum Contrast
nndist.ppx

Nearest Neighbour Distances in Any Dimensions
headtail

First or Last Part of a Spatial Pattern
nearestValue

Image of Nearest Defined Pixel Value
print.im

Print Brief Details of an Image
hyperframe

Hyper Data Frame
plot.rppm

Plot a Recursively Partitioned Point Process Model
pool.anylist

Pool Data from a List of Objects
pairdist.ppx

Pairwise Distances in Any Dimensions
intersect.tess

Intersection of Two Tessellations
nncross

Nearest Neighbours Between Two Patterns
nnclean

Nearest Neighbour Clutter Removal
nnfromvertex

Nearest Data Point From Each Vertex in a Network
plot.ssf

Plot a Spatially Sampled Function
overlap.owin

Compute Area of Overlap
periodify

Make Periodic Copies of a Spatial Pattern
ppp.object

Class of Point Patterns
pcf.ppp

Pair Correlation Function of Point Pattern
ord.family

Ord Interaction Process Family
plot.studpermutest

Plot a Studentised Permutation Test
print.psp

Print Brief Details of a Line Segment Pattern Dataset
pool.envelope

Pool Data from Several Envelopes
plot.textstring

Plot a Text String
pcfmulti

Marked pair correlation function
pppdist

Distance Between Two Point Patterns
print.owin

Print Brief Details of a Spatial Window
identify.ppp

Identify Points in a Point Pattern
quad.ppm

Extract Quadrature Scheme Used to Fit a Point Process Model
nnwhich.pp3

Nearest neighbours in three dimensions
perspPoints

Draw Points or Lines on a Surface Viewed in Perspective
pixellate

Convert Spatial Object to Pixel Image
nnfun

Nearest Neighbour Index Map as a Function
pairdist

Pairwise distances
plot.leverage.ppm

Plot Leverage Function
rVarGamma

Simulate Neyman-Scott Point Process with Variance Gamma cluster kernel
influence.ppm

Influence Measure for Spatial Point Process Model
nnwhich.lpp

Identify Nearest Neighbours on a Linear Network
pairdist.psp

Pairwise distances between line segments
plot.fv

Plot Function Values
rescale.psp

Convert Line Segment Pattern to Another Unit of Length
plot.linnet

Plot a linear network
pairwise.family

Pairwise Interaction Process Family
pcf.fv

Pair Correlation Function obtained from K Function
opening

Morphological Opening
quantile.density

Quantiles of a Density Estimate
persp.im

Perspective Plot of Pixel Image
print.quad

Print a Quadrature Scheme
parameters

Extract Model Parameters in Understandable Form
pcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-Type)
print.ppm

Print a Fitted Point Process Model
inforder.family

Infinite Order Interaction Family
pairdist.ppp

Pairwise distances
is.rectangle

Determine Type of Window
plot.slrm

Plot a Fitted Spatial Logistic Regression
intensity.ppm

Intensity of Fitted Point Process Model
parres

Partial Residuals for Point Process Model
plot.lpp

Plot Point Pattern on Linear Network
rpoispp

Generate Poisson Point Pattern
rNeymanScott

Simulate Neyman-Scott Process
pixellate.owin

Convert Window to Pixel Image
layered

Create List of Plotting Layers
rLGCP

Simulate Log-Gaussian Cox Process
quadratresample

Resample a Point Pattern by Resampling Quadrats
rsyst

Simulate systematic random point pattern
perimeter

Perimeter Length of Window
panel.contour

Panel Plots using Colour Image or Contour Lines
invoke.symbolmap

Plot Data Using Graphics Symbol Map
plot.hyperframe

Plot Entries in a Hyperframe
is.im

Test Whether An Object Is A Pixel Image
rmhexpand

Specify Simulation Window or Expansion Rule
plot.colourmap

Plot a Colour Map
rMosaicSet

Mosaic Random Set
plot.mppm

plot a Fitted Multiple Point Process Model
rmpoint

Generate N Random Multitype Points
plot.lppm

Plot a Fitted Point Process Model on a Linear Network
pcfdot

Multitype pair correlation function (i-to-any)
plot.ppm

plot a Fitted Point Process Model
rags

Alternating Gibbs Sampler for Multitype Point Processes
plot.pp3

Plot a Three-Dimensional Point Pattern
plot.linim

Plot Pixel Image on Linear Network
rescue.rectangle

Convert Window Back To Rectangle
pool.fasp

Pool Data from Several Function Arrays
relrisk

Estimate of Spatially-Varying Relative Risk
pointsOnLines

Place Points Evenly Along Specified Lines
plot.envelope

Plot a Simulation Envelope
is.linim

Test Whether an Object is a Pixel Image on a Linear Network
plot.quadratcount

Plot Quadrat Counts
is.multitype.ppp

Test Whether A Point Pattern is Multitype
plot.scan.test

Plot Result of Scan Test
reach

Interaction Distance of a Point Process
plot.listof

Plot a List of Things
plot.fasp

Plot a Function Array
is.owin

Test Whether An Object Is A Window
latest.news

Print News About Latest Version of Package
plot.ppp

plot a Spatial Point Pattern
plot.dppm

Plot a fitted determinantal point process
ppm

Fit Point Process Model to Data
linearKdot

Multitype K Function (Dot-type) for Linear Point Pattern
pp3

Three Dimensional Point Pattern
plot.profilepl

Plot Profile Likelihood
nnwhich

Nearest neighbour
plot.pppmatching

Plot a Point Matching
reach.dppm

Range of Interaction for a Determinantal Point Process Model
plot.quad

Plot a Spatial Quadrature Scheme
ppmInfluence

Leverage and Influence Measures for Spatial Point Process Model
rpoispp3

Generate Poisson Point Pattern in Three Dimensions
linearKdot.inhom

Inhomogeneous multitype K Function (Dot-type) for Linear Point Pattern
relrisk.ppm

Parametric Estimate of Spatially-Varying Relative Risk
predict.dppm

Prediction from a Fitted Determinantal Point Process Model
raster.x

Cartesian Coordinates for a Pixel Raster
methods.funxy

Methods for Spatial Functions
rotate.psp

Rotate a Line Segment Pattern
linequad

Quadrature Scheme on a Linear Network
ppx

Multidimensional Space-Time Point Pattern
plot.texturemap

Plot a Texture Map
rmh

Simulate point patterns using the Metropolis-Hastings algorithm.
maxnndist

Compute Minimum or Maximum Nearest-Neighbour Distance
ppp

Create a Point Pattern
rmh.default

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

Perfect Simulation of the Penttinen Process
rmpoispp

Generate Multitype Poisson Point Pattern
simulate.dppm

Simulation of Determinantal Point Process Model
print.ppp

Print Brief Details of a Point Pattern Dataset
pool.fv

Pool Several Functions
rotate.infline

Rotate or Shift Infinite Lines
prune.rppm

Prune a Recursively Partitioned Point Process Model
psp.object

Class of Line Segment Patterns
rotate.im

Rotate a Pixel Image
rMaternII

Simulate Matern Model II
points.lpp

Draw Points on Existing Plot
rppm

Recursively Partitioned Point Process Model
logLik.mppm

Log Likelihood and AIC for Multiple Point Process Model
reload.or.compute

Compute Unless Previously Saved
psst

Pseudoscore Diagnostic For Fitted Model against General Alternative
pseudoR2

Calculate Pseudo-R-Squared for Point Process Model
linfun

Function on a Linear Network
plot.yardstick

Plot a Yardstick or Scale Bar
localKinhom

Inhomogeneous Neighbourhood Density Function
polartess

Tessellation Using Polar Coordinates
rMosaicField

Mosaic Random Field
range.fv

Range of Function Values
quadrats

Divide Region into Quadrats
predict.rppm

Make Predictions From a Recursively Partitioned Point Process Model
markmarkscatter

Mark-Mark Scatter Plot
psstA

Pseudoscore Diagnostic For Fitted Model against Area-Interaction Alternative
rcell

Simulate Baddeley-Silverman Cell Process
project2set

Find Nearest Point in a Region
matrixpower

Power of a Matrix
rStrauss

Perfect Simulation of the Strauss Process
rshift

Random Shift
pool

Pool Data
scan.test

Spatial Scan Test
project2segment

Move Point To Nearest Line
model.images

Compute Images of Constructed Covariates
logLik.ppm

Log Likelihood and AIC for Point Process Model
predict.slrm

Predicted or Fitted Values from Spatial Logistic Regression
marks

Marks of a Point Pattern
sdrPredict

Compute Predictors from Sufficient Dimension Reduction
ppm.ppp

Fit Point Process Model to Point Pattern Data
nnorient

Nearest Neighbour Orientation Distribution
sdr

Sufficient Dimension Reduction
ppm.object

Class of Fitted Point Process Models
methods.linim

Methods for Images on a Linear Network
methods.linnet

Methods for Linear Networks
multiplicity.ppp

Count Multiplicity of Duplicate Points
polynom

Polynomial in One or Two Variables
predict.mppm

Prediction for Fitted Multiple Point Process Model
profilepl

Fit Models by Profile Maximum Pseudolikelihood or AIC
model.matrix.mppm

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

Point Pair Orientation Distribution
quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern
pcfcross

Multitype pair correlation function (cross-type)
psstG

Pseudoscore Diagnostic For Fitted Model against Saturation Alternative
scaletointerval

Rescale Data to Lie Between Specified Limits
simulate.kppm

Simulate a Fitted Cluster Point Process Model
simulate.lppm

Simulate a Fitted Point Process Model on a Linear Network
rex

Richardson Extrapolation
quantile.ewcdf

Quantiles of Weighted Empirical Cumulative Distribution Function
progressreport

Print Progress Reports
rectcontact

Contact Distribution Function using Rectangular Structuring Element
ranef.mppm

Extract Random Effects from Point Process Model
quantess

Quantile Tessellation
simulate.mppm

Simulate a Point Process Model Fitted to Several Point Patterns
nncross.ppx

Nearest Neighbours Between Two Patterns in Any Dimensions
quadrat.test.splitppp

Dispersion Test of CSR for Split Point Pattern Based on Quadrat Counts
predict.ppm

Prediction from a Fitted Point Process Model
rPoissonCluster

Simulate Poisson Cluster Process
rcelllpp

Simulate Cell Process on Linear Network
nearest.raster.point

Find Pixel Nearest to a Given Point
reach.kppm

Range of Interaction for a Cox or Cluster Point Process Model
quadrat.test.mppm

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

Count Number of Vertices
pairdist.default

Pairwise distances
rmh.ppm

Simulate from a Fitted Point Process Model
nsegments

Number of Line Segments in a Line Segment Pattern
rMatClust

Simulate Matern Cluster Process
pairs.im

Scatterplot Matrix for Pixel Images
nndensity.ppp

Estimate Intensity of Point Pattern Using Nearest Neighbour Distances
rmhcontrol

Set Control Parameters for Metropolis-Hastings Algorithm.
relevel.im

Reorder Levels of a Factor-Valued Image or Pattern
plot.im

Plot a Pixel Image
pcf3est

Pair Correlation Function of a Three-Dimensional Point Pattern
rGaussPoisson

Simulate Gauss-Poisson Process
rDiggleGratton

Perfect Simulation of the Diggle-Gratton Process
pairdist.lpp

Pairwise shortest-path distances between points on a linear network
rSwitzerlpp

Switzer-type Point Process on Linear Network
rescale.im

Convert Pixel Image to Another Unit of Length
quadscheme

Generate a Quadrature Scheme from a Point Pattern
reflect

Reflect In Origin
rjitter

Random Perturbation of a Point Pattern
ripras

Estimate window from points alone
rStraussHard

Perfect Simulation of the Strauss-Hardcore Process
runiflpp

Uniform Random Points on a Linear Network
predict.kppm

Prediction from a Fitted Cluster Point Process Model
rThomas

Simulate Thomas Process
rescale

Convert dataset to another unit of length
rgbim

Create Colour-Valued Pixel Image
rotate

Rotate
relrisk.ppp

Nonparametric Estimate of Spatially-Varying Relative Risk
pixelquad

Quadrature Scheme Based on Pixel Grid
rshift.psp

Randomly Shift a Line Segment Pattern
rpoisppOnLines

Generate Poisson Point Pattern on Line Segments
rMaternI

Simulate Matern Model I
segregation.test

Test of Spatial Segregation of Types
plot.anylist

Plot a List of Things
psib

Sibling Probability of Cluster Point Process
rcellnumber

Generate Random Numbers of Points for Cell Process
regularpolygon

Create A Regular Polygon
repairNetwork

Repair Internal Data in a Linear Network
rshift.splitppp

Randomly Shift a List of Point Patterns
rat

Ratio object
round.ppp

Apply Numerical Rounding to Spatial Coordinates
rose

Rose Diagram
residuals.dppm

Residuals for Fitted Determinantal Point Process Model
rdpp

Simulation of a Determinantal Point Process
rpoisppx

Generate Poisson Point Pattern in Any Dimensions
plot.owin

Plot a Spatial Window
rmhmodel.list

Define Point Process Model for Metropolis-Hastings Simulation.
quasirandom

Quasirandom Patterns
plot.plotppm

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

Plot Influence Measure
residuals.kppm

Residuals for Fitted Cox or Cluster Point Process Model
rlinegrid

Generate grid of parallel lines with random displacement
rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.
plot.imlist

Plot a List of Images
plot.kppm

Plot a fitted cluster point process
scalardilate

Apply Scalar Dilation
rotate.owin

Rotate a Window
rpoislpp

Poisson Point Process on a Linear Network
residuals.ppm

Residuals for Fitted Point Process Model
pool.rat

Pool Data from Several Ratio Objects
rshift.ppp

Randomly Shift a Point Pattern
rotate.ppp

Rotate a Point Pattern
plot.symbolmap

Plot a Graphics Symbol Map
rknn

Theoretical Distribution of Nearest Neighbour Distance
runifpoint3

Generate N Uniform Random Points in Three Dimensions
residuals.mppm

Residuals for Point Process Model Fitted to Multiple Point Patterns
rlpp

Random Points on a Linear Network
rlabel

Random Re-Labelling of Point Pattern
rstrat

Simulate Stratified Random Point Pattern
shift.owin

Apply Vector Translation To Window
rotmean

Rotational Average of a Pixel Image
pool.quadrattest

Pool Several Quadrat Tests
rpoislinetess

Poisson Line Tessellation
plot.splitppp

Plot a List of Point Patterns
rmhmodel

Define Point Process Model for Metropolis-Hastings Simulation.
selfcut.psp

Cut Line Segments Where They Intersect
selfcrossing.psp

Crossing Points in a Line Segment Pattern
runifpointx

Generate N Uniform Random Points in Any Dimensions
solutionset

Evaluate Logical Expression Involving Pixel Images and Return Region Where Expression is True
runifpointOnLines

Generate N Uniform Random Points On Line Segments
plot.solist

Plot a List of Spatial Objects
psp

Create a Line Segment Pattern
plot.tess

Plot a Tessellation
rounding

Detect Numerical Rounding
rtemper

Simulated Annealing or Simulated Tempering for Gibbs Point Processes
simulate.ppm

Simulate a Fitted Gibbs Point Process Model
simplify.owin

Approximate a Polygon by a Simpler Polygon
pppmatching.object

Class of Point Matchings
shift

Apply Vector Translation
spatdim

Spatial Dimension of a Dataset
sessionLibs

Print Names and Version Numbers of Libraries Loaded
scanpp

Read Point Pattern From Data File
simplepanel

Simple Point-and-Click Interface Panels
pppmatching

Create a Point Matching
runifpoint

Generate N Uniform Random Points
scanLRTS

Likelihood Ratio Test Statistic for Scan Test
qqplot.ppm

Q-Q Plot of Residuals from Fitted Point Process Model
simulate.slrm

Simulate a Fitted Spatial Logistic Regression Model
shift.ppp

Apply Vector Translation To Point Pattern
quantile.im

Sample Quantiles of Pixel Image
solist

List of Two-Dimensional Spatial Objects
shift.im

Apply Vector Translation To Pixel Image
rSSI

Simulate Simple Sequential Inhibition
predict.lppm

Predict Point Process Model on Linear Network
rCauchy

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

Interpret Fitted Model for Metropolis-Hastings Simulation.
quad.object

Class of Quadrature Schemes
rDGS

Perfect Simulation of the Diggle-Gates-Stibbard Process
rectdistmap

Distance Map Using Rectangular Distance Metric
spatialcdf

Spatial Cumulative Distribution Function
rnoise

Random Pixel Noise
rescale.owin

Convert Window to Another Unit of Length
requireversion

Require a Specific Version of a Package
reduced.sample

Reduced Sample Estimator using Histogram Data
ragsMultiHard

Alternating Gibbs Sampler for Multitype Hard Core Process
repul.dppm

Repulsiveness Index of a Determinantal Point Process Model
ragsAreaInter

Alternating Gibbs Sampler for Area-Interaction Process
slrm

Spatial Logistic Regression
rQuasi

Generate Quasirandom Point Pattern in Given Window
rho2hat

Smoothed Relative Density of Pairs of Covariate Values
rpoint

Generate N Random Points
rthin

Random Thinning
rmhstart

Determine Initial State for Metropolis-Hastings Simulation.
rescale.ppp

Convert Point Pattern to Another Unit of Length
setcov

Set Covariance of a Window
run.simplepanel

Run Point-and-Click Interface
rthinclumps

Random Thinning of Clumps
roc

Receiver Operating Characteristic
rhohat

Nonparametric Estimate of Intensity as Function of a Covariate
shift.psp

Apply Vector Translation To Line Segment Pattern
sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window
sharpen

Data Sharpening of Point Pattern
runifdisc

Generate N Uniform Random Points in a Disc
solapply

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

Generate Poisson Random Line Process