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spatstat (version 1.64-1)

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

Description

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

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Install

install.packages('spatstat')

Monthly Downloads

19,373

Version

1.64-1

License

GPL (>= 2)

Maintainer

Last Published

May 12th, 2020

Functions in spatstat (1.64-1)

CDF

Cumulative Distribution Function From Kernel Density Estimate
BadGey

Hybrid Geyer Point Process Model
Extract.fv

Extract or Replace Subset of Function Values
Emark

Diagnostics for random marking
DiggleGratton

Diggle-Gratton model
Extract.hyperframe

Extract or Replace Subset of Hyperframe
AreaInter

The Area Interaction Point Process Model
Extract.influence.ppm

Extract Subset of Influence Object
Extract.anylist

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

Extract Subset of Window
Extract.linnet

Extract Subset of Linear Network
Extract.ppp

Extract or Replace Subset of Point Pattern
Extract.layered

Extract or Replace Subset of a Layered Object
Extract.msr

Extract Subset of Signed or Vector Measure
Extract.im

Extract Subset of Image
Extract.splitppp

Extract or Replace Sub-Patterns
DiggleGatesStibbard

Diggle-Gates-Stibbard Point Process Model
Extract.lpp

Extract Subset of Point Pattern on Linear Network
Concom

The Connected Component Process Model
[.ssf

Subset of spatially sampled function
Fest

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

Extract Subset of Function Array
Frame

Extract or Change the Containing Rectangle of a Spatial Object
Extract.quad

Subset of Quadrature Scheme
Fiksel

The Fiksel Interaction
Extract.ppx

Extract Subset of Multidimensional Point Pattern
G3est

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

The Hard Core Point Process Model
Gdot

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

Inhomogeneous J-function
Hest

Spherical Contact Distribution Function
Extract.listof

Extract or Replace Subset of a List of Things
Gest

Nearest Neighbour Distance Function G
Extract.solist

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

Extract Subset of Line Segment Pattern
Gmulti

Marked Nearest Neighbour Distance Function
HierStraussHard

The Hierarchical Strauss Hard Core Point Process Model
Jmulti

Marked J Function
Ginhom

Inhomogeneous Nearest Neighbour Function
Geyer

Geyer's Saturation Point Process Model
Hybrid

Hybrid Interaction Point Process Model
Extract.leverage.ppm

Extract Subset of Leverage Object
LambertW

Lambert's W Function
Lcross

Multitype L-function (cross-type)
Extract.linim

Extract Subset of Pixel Image on Linear Network
Kmodel.ppm

K Function or Pair Correlation Function of Gibbs Point Process model
Extract.tess

Extract or Replace Subset of Tessellation
Kmulti

Marked K-Function
Math.im

S3 Group Generic methods for images
F3est

Empty Space Function of a Three-Dimensional Point Pattern
Math.imlist

S3 Group Generic methods for List of Images
Kmeasure

Reduced Second Moment Measure
Gfox

Foxall's Distance Functions
Kdot

Multitype K Function (i-to-any)
Kdot.inhom

Inhomogeneous Multitype K Dot Function
HierHard

The Hierarchical Hard Core Point Process Model
HierStrauss

The Hierarchical Strauss Point Process Model
Math.linim

S3 Group Generic Methods for Images on a Linear Network
Kmodel

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

Model Compensator of Nearest Neighbour Function
Finhom

Inhomogeneous Empty Space Function
FmultiInhom

Inhomogeneous Marked F-Function
Iest

Estimate the I-function
MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model
Kcross

Multitype K Function (Cross-type)
K3est

K-function of a Three-Dimensional Point Pattern
Pairwise

Generic Pairwise Interaction model
Penttinen

Penttinen Interaction
Jcross

Multitype J Function (i-to-j)
MinkowskiSum

Minkowski Sum of Windows
Ops.msr

Arithmetic Operations on Measures
Kmark

Mark-Weighted K Function
Kinhom

Inhomogeneous K-function
Kcross.inhom

Inhomogeneous Cross K Function
Kcom

Model Compensator of K Function
Kscaled

Locally Scaled K-function
Kmulti.inhom

Inhomogeneous Marked K-Function
Gres

Residual G Function
GmultiInhom

Inhomogeneous Marked G-Function
Lest

L-function
LennardJones

The Lennard-Jones Potential
Gcross

Multitype Nearest Neighbour Distance Function (i-to-j)
Smooth.ppp

Spatial smoothing of observations at irregular points
Jdot

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

Inhomogeneous Multitype L Dot Function
Ksector

Sector K-function
PPversion

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

Residual K Function
OrdThresh

Ord's Interaction model
Linhom

Inhomogeneous L-function
PairPiece

The Piecewise Constant Pairwise Interaction Point Process Model
Triplets

The Triplet Point Process Model
Smooth.ssf

Smooth a Spatially Sampled Function
SatPiece

Piecewise Constant Saturated Pairwise Interaction Point Process Model
Ord

Generic Ord Interaction model
affine.owin

Apply Affine Transformation To Window
Replace.linim

Reset Values in Subset of Image on Linear Network
Tstat

Third order summary statistic
Smooth.fv

Apply Smoothing to Function Values
Jest

Estimate the J-function
Poisson

Poisson Point Process Model
Kmodel.dppm

K-function or Pair Correlation Function of a Determinantal Point Process Model
Smoothfun.ppp

Smooth Interpolation of Marks as a Spatial Function
Kmodel.kppm

K Function or Pair Correlation Function of Cluster Model or Cox model
affine.im

Apply Affine Transformation To Pixel Image
Softcore

The Soft Core Point Process Model
Kest.fft

K-function using FFT
affine.ppp

Apply Affine Transformation To Point Pattern
affine

Apply Affine Transformation
Kest

K-function
Smooth.msr

Smooth a Signed or Vector-Valued Measure
anova.slrm

Analysis of Deviance for Spatial Logistic Regression Models
addvar

Added Variable Plot for Point Process Model
addVertices

Add New Vertices to a Linear Network
Lcross.inhom

Inhomogeneous Cross Type L Function
Ldot

Multitype L-function (i-to-any)
add.texture

Fill Plot With Texture
adaptive.density

Adaptive Estimate of Intensity of Point Pattern
angles.psp

Orientation Angles of Line Segments
Replace.im

Reset Values in Subset of Image
Window

Extract or Change the Window of a Spatial Object
anova.lppm

ANOVA for Fitted Point Process Models on Linear Network
applynbd

Apply Function to Every Neighbourhood in a Point Pattern
affine.lpp

Apply Geometrical Transformations to Point Pattern on a Linear Network
anyNA.im

Check Whether Image Contains NA Values
as.data.frame.im

Convert Pixel Image to Data Frame
areaGain

Difference of Disc Areas
area.owin

Area of a Window
alltypes

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

Apply Geometrical Transformations to a Linear Network
allstats

Calculate four standard summary functions of a point pattern.
WindowOnly

Extract Window of Spatial Object
as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame
append.psp

Combine Two Line Segment Patterns
as.function.fv

Convert Function Value Table to Function
as.box3

Convert Data to Three-Dimensional Box
as.data.frame.lintess

Convert Network Tessellation to Data Frame
as.function.im

Convert Pixel Image to Function of Coordinates
as.data.frame.tess

Convert Tessellation to Data Frame
areaLoss

Difference of Disc Areas
MultiHard

The Multitype Hard Core Point Process Model
as.function.tess

Convert a Tessellation to a Function
anylist

List of Objects
Saturated

Saturated Pairwise Interaction model
MultiStrauss

The Multitype Strauss Point Process Model
as.im

Convert to Pixel Image
as.boxx

Convert Data to Multi-Dimensional Box
Smooth

Spatial smoothing of data
affine.psp

Apply Affine Transformation To Line Segment Pattern
as.linnet.psp

Convert Line Segment Pattern to Linear Network
as.fv

Convert Data To Class fv
beginner

Print Introduction For Beginners
as.ppp

Convert Data To Class ppp
as.hyperframe

Convert Data to Hyperframe
Strauss

The Strauss Point Process Model
affine.tess

Apply Geometrical Transformation To Tessellation
StraussHard

The Strauss / Hard Core Point Process Model
as.function.leverage.ppm

Convert Leverage Object to Function of Coordinates
as.ppm

Extract Fitted Point Process Model
as.lpp

Convert Data to a Point Pattern on a Linear Network
as.matrix.im

Convert Pixel Image to Matrix or Array
anova.mppm

ANOVA for Fitted Point Process Models for Replicated Patterns
as.layered

Convert Data To Layered Object
as.hyperframe.ppx

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

Convert Window to Indicator Function
as.interact

Extract Interaction Structure
anova.ppm

ANOVA for Fitted Point Process Models
as.rectangle

Window Frame
as.tess

Convert Data To Tessellation
as.mask.psp

Convert Line Segment Pattern to Binary Pixel Mask
begins

Check Start of Character String
as.mask

Pixel Image Approximation of a Window
as.solist

Convert List of Two-Dimensional Spatial Objects
as.psp

Convert Data To Class psp
as.data.frame.envelope

Coerce Envelope to Data Frame
as.linfun

Convert Data to a Function on a Linear Network
as.data.frame.hyperframe

Coerce Hyperframe to Data Frame
blur

Apply Gaussian Blur to a Pixel Image
bw.abram

Abramson's Adaptive Bandwidths
bw.diggle

Cross Validated Bandwidth Selection for Kernel Density
boundingcircle

Smallest Enclosing Circle
auc

Area Under ROC Curve
as.matrix.owin

Convert Pixel Image to Matrix
bc.ppm

Bias Correction for Fitted Model
bdist.pixels

Distance to Boundary of Window
bw.stoyan

Stoyan's Rule of Thumb for Bandwidth Selection
berman.test

Berman's Tests for Point Process Model
as.data.frame.ppp

Coerce Point Pattern to a Data Frame
bugfixes

List Recent Bug Fixes
bounding.box.xy

Convex Hull of Points
bw.CvL

Cronie and van Lieshout's Criterion for Bandwidth Selection for Kernel Density
box3

Three-Dimensional Box
border

Border Region of a Window
bdist.points

Distance to Boundary of Window
as.linim

Convert to Pixel Image on Linear Network
as.data.frame.owin

Convert Window to Data Frame
bw.frac

Bandwidth Selection Based on Window Geometry
as.linnet.linim

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

Convert Data To Class owin
bind.fv

Combine Function Value Tables
circdensity

Density Estimation for Circular Data
bw.voronoi

Cross Validated Bandwidth Selection for Voronoi Estimator of Intensity on a Network
cauchy.estpcf

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

Convert a Window to a Polygonal Window
clickbox

Interactively Define a Rectangle
by.im

Apply Function to Image Broken Down by Factor
cauchy.estK

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

Likelihood Cross Validation Bandwidth Selection for Kernel Density on a Linear Network
bits.envelope

Global Envelopes for Balanced Independent Two-Stage Test
clarkevans

Clark and Evans Aggregation Index
bdist.tiles

Distance to Boundary of Window
beachcolours

Create Colour Scheme for a Range of Numbers
chop.tess

Subdivide a Window or Tessellation using a Set of Lines
clusterkernel

Extract Cluster Offspring Kernel
clickjoin

Interactively join vertices on a plot
by.ppp

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

Clark and Evans Test
boundingbox

Bounding Box of a Window, Image, or Point Pattern
clip.infline

Intersect Infinite Straight Lines with a Window
clickppp

Interactively Add Points
chop.linnet

Divide a Linear Network into Tiles Using Infinite Lines
clusterradius

Compute or Extract Effective Range of Cluster Kernel
coef.ppm

Coefficients of Fitted Point Process Model
clickdist

Interactively Measure Distance
bw.pcf

Cross Validated Bandwidth Selection for Pair Correlation Function
closepairs

Close Pairs of Points
closepairs.pp3

Close Pairs of Points in 3 Dimensions
bits.test

Balanced Independent Two-Stage Monte Carlo Test
bw.scott

Scott's Rule for Bandwidth Selection for Kernel Density
collapse.fv

Collapse Several Function Tables into One
bw.relrisk

Cross Validated Bandwidth Selection for Relative Risk Estimation
bw.ppl

Likelihood Cross Validation Bandwidth Selection for Kernel Density
colourtools

Convert and Compare Colours in Different Formats
colourmap

Colour Lookup Tables
branchlabelfun

Tree Branch Membership Labelling Function
bw.relrisklpp

Cross Validated Bandwidth Selection for Relative Risk Estimation on a Network
colouroutputs

Extract or Assign Colour Values in a Colour Map
boxx

Multi-Dimensional Box
cbind.hyperframe

Combine Hyperframes by Rows or by Columns
connected.linnet

Connected Components of a Linear Network
cdf.test.mppm

Spatial Distribution Test for Multiple Point Process Model
connected.lpp

Connected Components of a Point Pattern on a Linear Network
coef.slrm

Coefficients of Fitted Spatial Logistic Regression Model
compileK

Generic Calculation of K Function and Pair Correlation Function
bw.smoothppp

Cross Validated Bandwidth Selection for Spatial Smoothing
compatible.fv

Test Whether Function Objects Are Compatible
crossdist.default

Pairwise distances between two different sets of points
data.ppm

Extract Original Data from a Fitted Point Process Model
closetriples

Close Triples of Points
cdf.test

Spatial Distribution Test for Point Pattern or Point Process Model
crossdist.lpp

Pairwise distances between two point patterns on a linear network
complement.owin

Take Complement of a Window
clusterset

Allard-Fraley Estimator of Cluster Feature
dclf.progress

Progress Plot of Test of Spatial Pattern
convexhull

Convex Hull
closing

Morphological Closing
connected.ppp

Connected Components of a Point Pattern
coef.mppm

Coefficients of Point Process Model Fitted to Multiple Point Patterns
default.rmhcontrol

Set Default Control Parameters for Metropolis-Hastings Algorithm.
compatible.im

Test Whether Pixel Images Are Compatible
centroid.owin

Centroid of a window
clicklpp

Interactively Add Points on a Linear Network
clickpoly

Interactively Define a Polygon
convexhull.xy

Convex Hull of Points
commonGrid

Determine A Common Spatial Domain And Pixel Resolution
clusterfield

Field of clusters
compatible

Test Whether Objects Are Compatible
coords

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
connected.tess

Connected Components of Tiles of a Tessellation
convexify

Weil's Convexifying Operation
compareFit

Residual Diagnostics for Multiple Fitted Models
convolve.im

Convolution of Pixel Images
clusterfit

Fit Cluster or Cox Point Process Model via Minimum Contrast
delaunay

Delaunay Triangulation of Point Pattern
crossing.linnet

Crossing Points between Linear Network and Other Lines
density.psp

Kernel Smoothing of Line Segment Pattern or Linear Network
crossing.psp

Crossing Points of Two Line Segment Patterns
delaunayNetwork

Linear Network of Delaunay Triangulation or Dirichlet Tessellation
densityVoronoi

Intensity Estimate of Point Pattern Using Voronoi-Dirichlet Tessellation
density.splitppp

Kernel Smoothed Intensity of Split Point Pattern
compatible.fasp

Test Whether Function Arrays Are Compatible
delaunayDistance

Distance on Delaunay Triangulation
dg.envelope

Global Envelopes for Dao-Genton Test
densityfun.lpp

Kernel Estimate of Intensity on a Linear Network as a Spatial Function
diagnose.ppm

Diagnostic Plots for Fitted Point Process Model
connected

Connected components
covering

Cover Region with Discs
concatxy

Concatenate x,y Coordinate Vectors
densityVoronoi.lpp

Intensity Estimate of Point Pattern on Linear Network Using Voronoi-Dirichlet Tessellation
densityfun.ppp

Kernel Estimate of Intensity as a Spatial Function
contour.im

Contour plot of pixel image
corners

Corners of a rectangle
diameter

Diameter of an Object
crossdist.ppp

Pairwise distances between two different point patterns
cut.ppp

Classify Points in a Point Pattern
contour.imlist

Array of Contour Plots
crossdist.pp3

Pairwise distances between two different three-dimensional point patterns
cut.lpp

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

Convert Pixel Image from Numeric to Factor
dclf.test

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

Delete or Extract a Branch of a Tree
dclf.sigtrace

Significance Trace of Cressie-Loosmore-Ford or Maximum Absolute Deviation Test
dg.progress

Progress Plot of Dao-Genton Test of Spatial Pattern
density.lpp

Kernel Estimate of Intensity on a Linear Network
data.lppm

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

Pairwise distances
dilated.areas

Areas of Morphological Dilations
crossdist.ppx

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns
dilation

Morphological Dilation
discretise

Safely Convert Point Pattern Window to Binary Mask
deltametric

Delta Metric
densityEqualSplit

Equal-Split Algorithm for Kernel Density on a Network
densityAdaptiveKernel

Adaptive Kernel Estimate of Intensity of Point Pattern
dirichletVertices

Vertices and Edges of Dirichlet Tessellation
dirichletWeights

Compute Quadrature Weights Based on Dirichlet Tessellation
distfun.lpp

Distance Map on Linear Network
crossdist.psp

Pairwise distances between two different line segment patterns
dg.sigtrace

Significance Trace of Dao-Genton Test
default.expand

Default Expansion Rule for Simulation of Model
default.dummy

Generate a Default Pattern of Dummy Points
dppMatern

Whittle-Matern Determinantal Point Process Model
densityHeat

Kernel Density on a Network using Heat Equation
density.ppp

Kernel Smoothed Intensity of Point Pattern
dg.test

Dao-Genton Adjusted Goodness-Of-Fit Test
dppPowerExp

Power Exponential Spectral Determinantal Point Process Model
dim.detpointprocfamily

Dimension of Determinantal Point Process Model
distmap

Distance Map
duplicated.ppp

Determine Duplicated Points in a Spatial Point Pattern
dimhat

Estimate Dimension of Central Subspace
domain

Extract the Domain of any Spatial Object
deriv.fv

Calculate Derivative of Function Values
dffit.ppm

Case Deletion Effect Measure of Fitted Model
detpointprocfamilyfun

Construct a New Determinantal Point Process Model Family Function
densityQuick.lpp

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

Distribution Function of Interpoint Distance
edge.Ripley

Ripley's Isotropic Edge Correction
emend

Force Model to be Valid
envelope.lpp

Envelope for Point Patterns on Linear Network
dppBessel

Bessel Type Determinantal Point Process Model
discs

Union of Discs
dppapproxkernel

Approximate Determinantal Point Process Kernel
distfun

Distance Map as a Function
ellipse

Elliptical Window.
diameter.box3

Geometrical Calculations for Three-Dimensional Box
distmap.owin

Distance Map of Window
diameter.owin

Diameter of a Window
dppapproxpcf

Approximate Pair Correlation Function of Determinantal Point Process Model
dfbetas.ppm

Parameter Influence Measure
distmap.ppp

Distance Map of Point Pattern
diameter.linnet

Diameter and Bounding Radius of a Linear Network
dppeigen

Internal function calculating eig and index
envelope.pp3

Simulation Envelopes of Summary Function for 3D Point Pattern
formula.ppm

Model Formulae for Gibbs Point Process Models
fitted.lppm

Fitted Intensity for Point Process on Linear Network
formula.fv

Extract or Change the Plot Formula for a Function Value Table
diameter.boxx

Geometrical Calculations for Multi-Dimensional Box
dirichletAreas

Compute Areas of Tiles in Dirichlet Tessellation
dummify

Convert Data to Numeric Values by Constructing Dummy Variables
dppkernel

Extract Kernel from Determinantal Point Process Model Object
disc

Circular Window
distmap.psp

Distance Map of Line Segment Pattern
fitin.ppm

Extract the Interaction from a Fitted Point Process Model
dummy.ppm

Extract Dummy Points Used to Fit a Point Process Model
dirichlet

Dirichlet Tessellation of Point Pattern
discpartarea

Area of Part of Disc
dppCauchy

Generalized Cauchy Determinantal Point Process Model
divide.linnet

Divide Linear Network at Cut Points
dppGauss

Gaussian Determinantal Point Process Model
dkernel

Kernel distributions and random generation
edges2triangles

List Triangles in a Graph
dppm

Fit Determinantal Point Process Model
dppparbounds

Parameter Bound for a Determinantal Point Process Model
edges

Extract Boundary Edges of a Window.
edges2vees

List Dihedral Triples in a Graph
edge.Trans

Translation Edge Correction
erosion

Morphological Erosion by a Disc
dppspecden

Extract Spectral Density from Determinantal Point Process Model Object
grow.rectangle

Add margins to rectangle
edit.hyperframe

Invoke Text Editor on Hyperframe
eem

Exponential Energy Marks
effectfun

Compute Fitted Effect of a Spatial Covariate in a Point Process Model
eval.fasp

Evaluate Expression Involving Function Arrays
harmonic

Basis for Harmonic Functions
endpoints.psp

Endpoints of Line Segment Pattern
eval.fv

Evaluate Expression Involving Functions
envelope

Simulation Envelopes of Summary Function
emend.ppm

Force Point Process Model to be Valid
fitted.mppm

Fitted Conditional Intensity for Multiple Point Process Model
eval.linim

Evaluate Expression Involving Pixel Images on Linear Network
edit.ppp

Invoke Text Editor on Spatial Data
erosionAny

Morphological Erosion of Windows
eval.im

Evaluate Expression Involving Pixel Images
ewcdf

Weighted Empirical Cumulative Distribution Function
fitted.ppm

Fitted Conditional Intensity for Point Process Model
foo

Foo is Not a Real Name
fardist

Farthest Distance to Boundary of Window
flipxy

Exchange X and Y Coordinates
dmixpois

Mixed Poisson Distribution
dppspecdenrange

Range of Spectral Density of a Determinantal Point Process Model
harmonise

Make Objects Compatible
exactMPLEstrauss

Exact Maximum Pseudolikelihood Estimate for Stationary Strauss Process
fasp.object

Function Arrays for Spatial Patterns
envelope.envelope

Recompute Envelopes
fourierbasis

Fourier Basis Functions
funxy

Spatial Function Class
expand.owin

Apply Expansion Rule
harmonise.fv

Make Function Tables Compatible
envelopeArray

Array of Simulation Envelopes of Summary Function
im.object

Class of Images
eroded.areas

Areas of Morphological Erosions
heatkernelapprox

Approximation to Heat Kernel on Linear Network at Source Point
gridweights

Compute Quadrature Weights Based on Grid Counts
hextess

Hexagonal Grid or Tessellation
hierpair.family

Hierarchical Pairwise Interaction Process Family
fv

Create a Function Value Table
fitted.slrm

Fitted Probabilities for Spatial Logistic Regression
imcov

Spatial Covariance of a Pixel Image
extrapolate.psp

Extrapolate Line Segments to Obtain Infinite Lines
improve.kppm

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

Intensity of Fitted Point Process Model
headtail

First or Last Part of a Spatial Pattern
hopskel

Hopkins-Skellam Test
gauss.hermite

Gauss-Hermite Quadrature Approximation to Expectation for Normal Distribution
im.apply

Apply Function Pixelwise to List of Images
harmonise.msr

Make Measures Compatible
intensity.ppp

Empirical Intensity of Point Pattern
harmonise.im

Make Pixel Images Compatible
grow.boxx

Add margins to box in any dimension
fryplot

Fry Plot of Point Pattern
fixef.mppm

Extract Fixed Effects from Point Process Model
hotrod

Heat Kernel for a One-Dimensional Rod
hybrid.family

Hybrid Interaction Family
incircle

Find Largest Circle Inside Window
intersect.owin

Intersection, Union or Set Subtraction of Windows
fv.object

Function Value Table
increment.fv

Increments of a Function
gridcentres

Rectangular grid of points
fvnames

Abbreviations for Groups of Columns in Function Value Table
is.ppm

Test Whether An Object Is A Fitted Point Process Model
has.close

Check Whether Points Have Close Neighbours
integral.msr

Integral of a Measure
is.marked.ppp

Test Whether A Point Pattern is Marked
is.marked.ppm

Test Whether A Point Process Model is Marked
identify.ppp

Identify Points in a Point Pattern
is.ppp

Test Whether An Object Is A Point Pattern
hyperframe

Hyper Data Frame
intensity

Intensity of a Dataset or a Model
harmonise.owin

Make Windows Compatible
infline

Infinite Straight Lines
hist.funxy

Histogram of Values of a Spatial Function
intensity.ppx

Intensity of a Multidimensional Space-Time Point Pattern
laslett

Laslett's Transform
latest.news

Print News About Latest Version of Package
leverage.ppm

Leverage Measure for Spatial Point Process Model
intersect.tess

Intersection of Two Tessellations
identify.psp

Identify Segments in a Line Segment Pattern
influence.ppm

Influence Measure for Spatial Point Process Model
hist.im

Histogram of Pixel Values in an Image
intensity.psp

Empirical Intensity of Line Segment Pattern
levelset

Level Set of a Pixel Image
is.connected

Determine Whether an Object is Connected
idw

Inverse-distance weighted smoothing of observations at irregular points
linearpcfdot

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

Create a Pixel Image Object
inforder.family

Infinite Order Interaction Family
is.connected.ppp

Determine Whether a Point Pattern is Connected
intersect.lintess

Intersection of Tessellations on a Linear Network
integral.linim

Integral on a Linear Network
inside.boxx

Test Whether Points Are Inside A Multidimensional Box
inside.owin

Test Whether Points Are Inside A Window
intensity.dppm

Intensity of Determinantal Point Process Model
integral.im

Integral of a Pixel Image
linnet

Create a Linear Network
interp.colourmap

Interpolate smoothly between specified colours
insertVertices

Insert New Vertices in a Linear Network
linearpcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-type) for Linear Point Pattern
interp.im

Interpolate a Pixel Image
intensity.lpp

Empirical Intensity of Point Pattern on Linear Network
is.convex

Test Whether a Window is Convex
is.hybrid

Test Whether Object is a Hybrid
intensity.quadratcount

Intensity Estimates Using Quadrat Counts
is.dppm

Recognise Fitted Determinantal Point Process Models
is.empty

Test Whether An Object Is Empty
pairs.im

Scatterplot Matrix for Pixel Images
is.lpp

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

Tessellation on a Linear Network
invoke.symbolmap

Plot Data Using Graphics Symbol Map
joinVertices

Join Vertices in a Network
localpcf

Local pair correlation function
methods.kppm

Methods for Cluster Point Process Models
is.rectangle

Determine Type of Window
logLik.dppm

Log Likelihood and AIC for Fitted Determinantal Point Process Model
is.subset.owin

Determine Whether One Window is Contained In Another
ippm

Fit Point Process Model Involving Irregular Trend Parameters
is.multitype.ppm

Test Whether A Point Process Model is Multitype
lppm

Fit Point Process Model to Point Pattern on Linear Network
kernel.moment

Moment of Smoothing Kernel
is.marked

Test Whether Marks Are Present
kaplan.meier

Kaplan-Meier Estimator using Histogram Data
linearKcross.inhom

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

Test whether Object is Multitype
kppm

Fit Cluster or Cox Point Process Model
is.im

Test Whether An Object Is A Pixel Image
km.rs

Kaplan-Meier and Reduced Sample Estimator using Histograms
is.stationary

Recognise Stationary and Poisson Point Process Models
kernel.squint

Integral of Squared Kernel
lurking

Lurking Variable Plot
matclust.estpcf

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

Power of a Matrix
mean.linim

Mean, Median, Quantiles of Pixel Values on a Linear Network
lgcp.estK

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

Dirichlet Tessellation on a Linear Network
lgcp.estpcf

Fit a Log-Gaussian Cox Point Process by Minimum Contrast
methods.pp3

Methods for three-dimensional point patterns
measureContinuous

Discrete and Continuous Components of a Measure
linearKdot

Multitype K Function (Dot-type) for Linear Point Pattern
is.linim

Test Whether an Object is a Pixel Image on a Linear Network
linearpcfdot.inhom

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

Linear Pair Correlation Function
lineardisc

Compute Disc of Given Radius in Linear Network
methods.ppx

Methods for Multidimensional Space-Time Point Patterns
methods.fii

Methods for Fitted Interactions
layered

Create List of Plotting Layers
linearpcfinhom

Inhomogeneous Linear Pair Correlation Function
is.owin

Test Whether An Object Is A Window
kernel.factor

Scale factor for density kernel
linearK

Linear K Function
layerplotargs

Extract or Replace the Plot Arguments of a Layered Object
pairdist

Pairwise distances
miplot

Morisita Index Plot
logLik.ppm

Log Likelihood and AIC for Point Process Model
methods.layered

Methods for Layered Objects
lineartileindex

Determine Which Tile Contains Each Given Point on a Linear Network
localKdot

Local Multitype K Function (Dot-Type)
is.multitype.ppp

Test Whether A Point Pattern is Multitype
linequad

Quadrature Scheme on a Linear Network
nndist.ppx

Nearest Neighbour Distances in Any Dimensions
linearpcfcross

Multitype Pair Correlation Function (Cross-type) for Linear Point Pattern
layout.boxes

Generate a Row or Column Arrangement of Rectangles.
linearmarkconnect

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

Loglikelihood of Spatial Logistic Regression
lixellate

Subdivide Segments of a Network
marks.tess

Marks of a Tessellation
linearKcross

Multitype K Function (Cross-type) for Linear Point Pattern
linearmarkequal

Mark Connection Function for Multitype Point Pattern on Linear Network
markcorr

Mark Correlation Function
linearKdot.inhom

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

Neighbourhood density function
methods.distfun

Geometrical Operations for Distance Functions
lohboot

Bootstrap Confidence Bands for Summary Function
methods.slrm

Methods for Spatial Logistic Regression Models
lurking.mppm

Lurking Variable Plot for Multiple Point Patterns
localKinhom

Inhomogeneous Neighbourhood Density Function
lpp

Create Point Pattern on Linear Network
measureVariation

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

Inhomogeneous Linear K Function
logLik.mppm

Log Likelihood and AIC for Multiple Point Process Model
lengths_psp

Lengths of Line Segments
logLik.kppm

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

Compute Minimum or Maximum Nearest-Neighbour Distance
pairs.linim

Scatterplot Matrix for Pixel Images on a Linear Network
model.images

Compute Images of Constructed Covariates
matclust.estK

Fit the Matern Cluster Point Process by Minimum Contrast
localKcross

Local Multitype K Function (Cross-Type)
linfun

Function on a Linear Network
nncorr

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

Methods for Units
localKcross.inhom

Inhomogeneous Multitype K Function
linim

Create Pixel Image on Linear Network
lut

Lookup Tables
mergeLevels

Merge Levels of a Factor
nobjects

Count Number of Geometrical Objects in a Spatial Dataset
model.depends

Identify Covariates Involved in each Model Term
markstat

Summarise Marks in Every Neighbourhood in a Point Pattern
pairdist.ppp

Pairwise distances
methods.dppm

Methods for Determinantal Point Process Models
midpoints.psp

Midpoints of Line Segment Pattern
methods.rhohat

Methods for Intensity Functions of Spatial Covariate
nnwhich.pp3

Nearest neighbours in three dimensions
methods.linnet

Methods for Linear Networks
methods.objsurf

Methods for Objective Function Surfaces
methods.funxy

Methods for Spatial Functions
pairdist.psp

Pairwise distances between line segments
model.matrix.mppm

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

Distance for a Point Pattern Matching
markcrosscorr

Mark Cross-Correlation Function
markconnect

Mark Connection Function
methods.lppm

Methods for Fitted Point Process Models on a Linear Network
markmarkscatter

Mark-Mark Scatter Plot
marktable

Tabulate Marks in Neighbourhood of Every Point in a Point Pattern
marks.psp

Marks of a Line Segment Pattern
model.matrix.slrm

Extract Design Matrix from Spatial Logistic Regression Model
mean.im

Mean and Median of Pixel Values in an Image
methods.box3

Methods for Three-Dimensional Box
pointsOnLines

Place Points Evenly Along Specified Lines
nnfun

Nearest Neighbour Index Map as a Function
markvario

Mark Variogram
model.matrix.ppm

Extract Design Matrix from Point Process Model
npoints

Number of Points in a Point Pattern
plot.owin

Plot a Spatial Window
nncross.ppx

Nearest Neighbours Between Two Patterns in Any Dimensions
mincontrast

Method of Minimum Contrast
nnclean

Nearest Neighbour Clutter Removal
marks

Marks of a Point Pattern
methods.ssf

Methods for Spatially Sampled Functions
methods.boxx

Methods for Multi-Dimensional Box
nndist.psp

Nearest neighbour distances between line segments
plot.ppp

plot a Spatial Point Pattern
methods.lpp

Methods for Point Patterns on a Linear Network
nncross.pp3

Nearest Neighbours Between Two Patterns in 3D
mppm

Fit Point Process Model to Several Point Patterns
owin.object

Class owin
padimage

Pad the Border of a Pixel Image
pixelcentres

Extract Pixel Centres as Point Pattern
nncross.lpp

Nearest Neighbours on a Linear Network
pairdist.lpp

Pairwise shortest-path distances between points on a linear network
nnwhich.ppx

Nearest Neighbours in Any Dimensions
nestsplit

Nested Split
nnfromvertex

Nearest Data Point From Each Vertex in a Network
nearest.raster.point

Find Pixel Nearest to a Given Point
pairsat.family

Saturated Pairwise Interaction Point Process Family
multiplicity.ppp

Count Multiplicity of Duplicate Points
msr

Signed or Vector-Valued Measure
nsegments

Number of Line Segments in a Line Segment Pattern
methods.linfun

Methods for Functions on Linear Network
model.frame.ppm

Extract the Variables in a Point Process Model
plot.msr

Plot a Signed or Vector-Valued Measure
ppx

Multidimensional Space-Time Point Pattern
nndist.pp3

Nearest neighbour distances in three dimensions
plot.dppm

Plot a fitted determinantal point process
plot.kppm

Plot a fitted cluster point process
methods.linim

Methods for Images on a Linear Network
pairdist.default

Pairwise distances
methods.rho2hat

Methods for Intensity Functions of Two Spatial Covariates
nnfun.lpp

Nearest Neighbour Map on Linear Network
nearestsegment

Find Line Segment Nearest to Each Point
ord.family

Ord Interaction Process Family
nncross

Nearest Neighbours Between Two Patterns
methods.zclustermodel

Methods for Cluster Models
pcf.fasp

Pair Correlation Function obtained from array of K functions
plot.colourmap

Plot a Colour Map
pairdist.pp3

Pairwise distances in Three Dimensions
nnmap

K-th Nearest Point Map
plot.cdftest

Plot a Spatial Distribution Test
nearestValue

Image of Nearest Defined Pixel Value
nnmark

Mark of Nearest Neighbour
parres

Partial Residuals for Point Process Model
nnorient

Nearest Neighbour Orientation Distribution
nnwhich

Nearest neighbour
nndist.lpp

Nearest neighbour distances on a linear network
pcf.fv

Pair Correlation Function obtained from K Function
pairwise.family

Pairwise Interaction Process Family
predict.ppm

Prediction from a Fitted Point Process Model
pairorient

Point Pair Orientation Distribution
pixellate

Convert Spatial Object to Pixel Image
pcfdot

Multitype pair correlation function (i-to-any)
pixellate.psp

Convert Line Segment Pattern to Pixel Image
plot.fasp

Plot a Function Array
opening

Morphological Opening
pixelquad

Quadrature Scheme Based on Pixel Grid
npfun

Dummy Function Returns Number of Points
nndist

Nearest neighbour distances
owin

Create a Window
overlap.owin

Compute Area of Overlap
nndensity.ppp

Estimate Intensity of Point Pattern Using Nearest Neighbour Distances
pcfcross

Multitype pair correlation function (cross-type)
pixellate.ppp

Convert Point Pattern to Pixel Image
pairdist.ppx

Pairwise Distances in Any Dimensions
plot.hyperframe

Plot Entries in a Hyperframe
pcf

Pair Correlation Function
plot.lintess

Plot a Tessellation on a Linear Network
plot.pppmatching

Plot a Point Matching
plot.ppm

plot a Fitted Point Process Model
pcf3est

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

Plot Laslett Transform
pppdist

Distance Between Two Point Patterns
plot.anylist

Plot a List of Things
pcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-Type)
perimeter

Perimeter Length of Window
plot.layered

Layered Plot
plot.psp

plot a Spatial Line Segment Pattern
plot.onearrow

Plot an Arrow
quadrat.test

Dispersion Test for Spatial Point Pattern Based on Quadrat Counts
pixellate.owin

Convert Window to Pixel Image
persp.im

Perspective Plot of Pixel Image
pcf.ppp

Pair Correlation Function of Point Pattern
pcfdot.inhom

Inhomogeneous Multitype Pair Correlation Function (Type-i-To-Any-Type)
nvertices

Count Number of Vertices
ppmInfluence

Leverage and Influence Measures for Spatial Point Process Model
objsurf

Objective Function Surface
plot.texturemap

Plot a Texture Map
perspPoints

Draw Points or Lines on a Surface Viewed in Perspective
plot.im

Plot a Pixel Image
rThomas

Simulate Thomas Process
points.lpp

Draw Points on Existing Plot
periodify

Make Periodic Copies of a Spatial Pattern
nnwhich.lpp

Identify Nearest Neighbours on a Linear Network
plot.leverage.ppm

Plot Leverage Function
pcfmulti

Marked pair correlation function
plot.mppm

plot a Fitted Multiple Point Process Model
profilepl

Fit Models by Profile Maximum Pseudolikelihood or AIC
plot.scan.test

Plot Result of Scan Test
plot.solist

Plot a List of Spatial Objects
plot.slrm

Plot a Fitted Spatial Logistic Regression
relrisk.lpp

Nonparametric Estimate of Spatially-Varying Relative Risk on a Network
reload.or.compute

Compute Unless Previously Saved
plot.influence.ppm

Plot Influence Measure
pcfinhom

Inhomogeneous Pair Correlation Function
plot.splitppp

Plot a List of Point Patterns
pool.fv

Pool Several Functions
parameters

Extract Model Parameters in Understandable Form
predict.kppm

Prediction from a Fitted Cluster Point Process Model
panel.contour

Panel Plots using Colour Image or Contour Lines
print.ppp

Print Brief Details of a Point Pattern Dataset
plot.listof

Plot a List of Things
plot.quad

Plot a Spatial Quadrature Scheme
plot.yardstick

Plot a Yardstick or Scale Bar
plot.linim

Plot Pixel Image on Linear Network
project2set

Find Nearest Point in a Region
plot.studpermutest

Plot a Studentised Permutation Test
plot.textstring

Plot a Text String
plot.rppm

Plot a Recursively Partitioned Point Process Model
plot.tess

Plot a Tessellation
project2segment

Move Point To Nearest Line
plot.bermantest

Plot Result of Berman Test
plot.envelope

Plot a Simulation Envelope
plot.imlist

Plot a List of Images
plot.plotppm

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

Plot a linear network
print.psp

Print Brief Details of a Line Segment Pattern Dataset
plot.quadrattest

Display the result of a quadrat counting test.
pool.quadrattest

Pool Several Quadrat Tests
plot.pp3

Plot a Three-Dimensional Point Pattern
quadscheme

Generate a Quadrature Scheme from a Point Pattern
ppm

Fit Point Process Model to Data
plot.quadratcount

Plot Quadrat Counts
predict.rppm

Make Predictions From a Recursively Partitioned Point Process Model
plot.profilepl

Plot Profile Likelihood
pool.fasp

Pool Data from Several Function Arrays
pool

Pool Data
plot.symbolmap

Plot a Graphics Symbol Map
plot.lpp

Plot Point Pattern on Linear Network
plot.ssf

Plot a Spatially Sampled Function
ppm.object

Class of Fitted Point Process Models
quadratresample

Resample a Point Pattern by Resampling Quadrats
ppm.ppp

Fit Point Process Model to Point Pattern Data
pool.rat

Pool Data from Several Ratio Objects
plot.lppm

Plot a Fitted Point Process Model on a Linear Network
plot.fv

Plot Function Values
pool.envelope

Pool Data from Several Envelopes
quadratcount

Quadrat counting for a point pattern
quadrat.test.splitppp

Dispersion Test of CSR for Split Point Pattern Based on Quadrat Counts
rDGS

Perfect Simulation of the Diggle-Gates-Stibbard Process
pppmatching.object

Class of Point Matchings
print.ppm

Print a Fitted Point Process Model
print.quad

Print a Quadrature Scheme
predict.dppm

Prediction from a Fitted Determinantal Point Process Model
rMatClust

Simulate Matern Cluster Process
prune.rppm

Prune a Recursively Partitioned Point Process Model
quantile.density

Quantiles of a Density Estimate
pp3

Three Dimensional Point Pattern
residuals.dppm

Residuals for Fitted Determinantal Point Process Model
polartess

Tessellation Using Polar Coordinates
quadrats

Divide Region into Quadrats
progressreport

Print Progress Reports
ppp

Create a Point Pattern
rSSI

Simulate Simple Sequential Inhibition
psp.object

Class of Line Segment Patterns
quantess

Quantile Tessellation
pseudoR2

Calculate Pseudo-R-Squared for Point Process Model
print.owin

Print Brief Details of a Spatial Window
psp

Create a Line Segment Pattern
reduced.sample

Reduced Sample Estimator using Histogram Data
rGaussPoisson

Simulate Gauss-Poisson Process
pool.anylist

Pool Data from a List of Objects
rescale.im

Convert Pixel Image to Another Unit of Length
quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern
run.simplepanel

Run Point-and-Click Interface
rescale

Convert dataset to another unit of length
psib

Sibling Probability of Cluster Point Process
predict.slrm

Predicted or Fitted Values from Spatial Logistic Regression
quantile.ewcdf

Quantiles of Weighted Empirical Cumulative Distribution Function
rMaternII

Simulate Matern Model II
relrisk.ppp

Nonparametric Estimate of Spatially-Varying Relative Risk
rMaternI

Simulate Matern Model I
rHardcore

Perfect Simulation of the Hardcore Process
rStrauss

Perfect Simulation of the Strauss Process
rDiggleGratton

Perfect Simulation of the Diggle-Gratton Process
rPoissonCluster

Simulate Poisson Cluster Process
rdpp

Simulation of a Determinantal Point Process
quadrat.test.mppm

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

Simulate Log-Gaussian Cox Process
psstG

Pseudoscore Diagnostic For Fitted Model against Saturation Alternative
ppp.object

Class of Point Patterns
rQuasi

Generate Quasirandom Point Pattern in Given Window
polynom

Polynomial in One or Two Variables
reach

Interaction Distance of a Point Process
rcellnumber

Generate Random Numbers of Points for Cell Process
rStraussHard

Perfect Simulation of the Strauss-Hardcore Process
quantile.im

Sample Quantiles of Pixel Image
predict.mppm

Prediction for Fitted Multiple Point Process Model
range.fv

Range of Function Values
ripras

Estimate window from points alone
quad.object

Class of Quadrature Schemes
rSwitzerlpp

Switzer-type Point Process on Linear Network
relrisk.ppm

Parametric Estimate of Spatially-Varying Relative Risk
rose

Rose Diagram
reflect

Reflect In Origin
regularpolygon

Create A Regular Polygon
predict.lppm

Predict Point Process Model on Linear Network
print.im

Print Brief Details of an Image
pppmatching

Create a Point Matching
qqplot.ppm

Q-Q Plot of Residuals from Fitted Point Process Model
rlinegrid

Generate grid of parallel lines with random displacement
quad.ppm

Extract Quadrature Scheme Used to Fit a Point Process Model
quasirandom

Quasirandom Patterns
raster.x

Cartesian Coordinates for a Pixel Raster
residuals.mppm

Residuals for Point Process Model Fitted to Multiple Point Patterns
psst

Pseudoscore Diagnostic For Fitted Model against General Alternative
relrisk

Estimate of Spatially-Varying Relative Risk
repairNetwork

Repair Internal Data in a Linear Network
simulate.kppm

Simulate a Fitted Cluster Point Process Model
rmhexpand

Specify Simulation Window or Expansion Rule
rectdistmap

Distance Map Using Rectangular Distance Metric
simplepanel

Simple Point-and-Click Interface Panels
rounding

Detect Numerical Rounding
rotate.infline

Rotate or Shift Infinite Lines
runifpointx

Generate N Uniform Random Points in Any Dimensions
psstA

Pseudoscore Diagnostic For Fitted Model against Area-Interaction Alternative
ragsMultiHard

Alternating Gibbs Sampler for Multitype Hard Core Process
rcelllpp

Simulate Cell Process on Linear Network
rMosaicSet

Mosaic Random Set
rags

Alternating Gibbs Sampler for Multitype Point Processes
rMosaicField

Mosaic Random Field
rlpp

Random Points on a Linear Network
residuals.kppm

Residuals for Fitted Cox or Cluster Point Process Model
rshift.ppp

Randomly Shift a Point Pattern
rVarGamma

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

Alternating Gibbs Sampler for Area-Interaction Process
rCauchy

Simulate Neyman-Scott Point Process with Cauchy cluster kernel
rotate

Rotate
rppm

Recursively Partitioned Point Process Model
rgbim

Create Colour-Valued Pixel Image
reach.dppm

Range of Interaction for a Determinantal Point Process Model
relevel.im

Reorder Levels of a Factor-Valued Image or Pattern
rpoisppOnLines

Generate Poisson Point Pattern on Line Segments
rescale.owin

Convert Window to Another Unit of Length
rjitter

Random Perturbation of a Point Pattern
reach.kppm

Range of Interaction for a Cox or Cluster Point Process Model
rotate.im

Rotate a Pixel Image
repul.dppm

Repulsiveness Index of a Determinantal Point Process Model
rshift

Random Shift
rectcontact

Contact Distribution Function using Rectangular Structuring Element
rmpoispp

Generate Multitype Poisson Point Pattern
rmhmodel

Define Point Process Model for Metropolis-Hastings Simulation.
rNeymanScott

Simulate Neyman-Scott Process
rex

Richardson Extrapolation
scanLRTS

Likelihood Ratio Test Statistic for Scan Test
selfcrossing.psp

Crossing Points in a Line Segment Pattern
rthinclumps

Random Thinning of Clumps
rPenttinen

Perfect Simulation of the Penttinen Process
rknn

Theoretical Distribution of Nearest Neighbour Distance
simulate.dppm

Simulation of Determinantal Point Process Model
rthin

Random Thinning
rnoise

Random Pixel Noise
requireversion

Require a Specific Version of a Package
rescale.ppp

Convert Point Pattern to Another Unit of Length
rpoint

Generate N Random Points
rmh.default

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

Random Re-Labelling of Point Pattern
sessionLibs

Print Names and Version Numbers of Libraries Loaded
scalardilate

Apply Scalar Dilation
segregation.test

Test of Spatial Segregation of Types
roc

Receiver Operating Characteristic
rmpoint

Generate N Random Multitype Points
rotate.owin

Rotate a Window
rat

Ratio object
rsyst

Simulate systematic random point pattern
residuals.ppm

Residuals for Fitted Point Process Model
rmhcontrol

Set Control Parameters for Metropolis-Hastings Algorithm.
rotate.ppp

Rotate a Point Pattern
rmh.ppm

Simulate from a Fitted Point Process Model
rotate.psp

Rotate a Line Segment Pattern
rmhmodel.ppm

Interpret Fitted Model for Metropolis-Hastings Simulation.
rpoispp

Generate Poisson Point Pattern
rho2hat

Smoothed Relative Density of Pairs of Covariate Values
rcell

Simulate Baddeley-Silverman Cell Process
rhohat

Nonparametric Estimate of Intensity as Function of a Covariate
rescue.rectangle

Convert Window Back To Rectangle
rpoisline

Generate Poisson Random Line Process
ranef.mppm

Extract Random Effects from Point Process Model
rpoislinetess

Poisson Line Tessellation
rmhstart

Determine Initial State for Metropolis-Hastings Simulation.
rpoisppx

Generate Poisson Point Pattern in Any Dimensions
runifpoint3

Generate N Uniform Random Points in Three Dimensions
rescale.psp

Convert Line Segment Pattern to Another Unit of Length
setcov

Set Covariance of a Window
rotmean

Rotational Average of a Pixel Image
simulate.ppm

Simulate a Fitted Gibbs Point Process Model
rshift.psp

Randomly Shift a Line Segment Pattern
rpoispp3

Generate Poisson Point Pattern in Three Dimensions
runifdisc

Generate N Uniform Random Points in a Disc
rpoislpp

Poisson Point Process on a Linear Network
selfcut.psp

Cut Line Segments Where They Intersect
rmhmodel.list

Define Point Process Model for Metropolis-Hastings Simulation.
rshift.splitppp

Randomly Shift a List of Point Patterns
rtemper

Simulated Annealing or Simulated Tempering for Gibbs Point Processes
runifpointOnLines

Generate N Uniform Random Points On Line Segments
rmh

Simulate point patterns using the Metropolis-Hastings algorithm.
sharpen

Data Sharpening of Point Pattern
rstrat

Simulate Stratified Random Point Pattern
shift

Apply Vector Translation
simplify.owin

Approximate a Polygon by a Simpler Polygon
scanpp

Read Point Pattern From Data File
runifpoint

Generate N Uniform Random Points
shift.im

Apply Vector Translation To Pixel Image
round.ppp

Apply Numerical Rounding to Spatial Coordinates
sdr

Sufficient Dimension Reduction
runiflpp

Uniform Random Points on a Linear Network
rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.
simulate.slrm

Simulate a Fitted Spatial Logistic Regression Model
sdrPredict

Compute Predictors from Sufficient Dimension Reduction
scaletointerval

Rescale Data to Lie Between Specified Limits
shift.psp

Apply Vector Translation To Line Segment Pattern
sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window
scan.test

Spatial Scan Test
shift.ppp

Apply Vector Translation To Point Pattern
shift.owin

Apply Vector Translation To Window
simulate.lppm

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

Simulate a Point Process Model Fitted to Several Point Patterns