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spatstat (version 1.37-0)

Spatial Point Pattern analysis, model-fitting, simulation, tests

Description

A package for analysing spatial data, mainly Spatial Point Patterns, including multitype/marked points and spatial covariates, in any two-dimensional spatial region. Also supports three-dimensional point patterns, space-time point patterns in any number of dimensions, and point patterns on a linear network. Contains over 1500 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, Diggle-Cressie-Loosmore-Ford, Dao-Genton) and tests for covariate effects (Cox-Berman-Waller-Lawson, Kolmogorov-Smirnov) are also supported. Parametric models can be fitted to point pattern data using the functions ppm, kppm, slrm similar to glm. Types of models include Poisson, Gibbs, Cox and cluster point processes. Models may involve dependence on covariates, interpoint interaction, cluster formation and dependence on marks. Models are fitted by maximum likelihood, logistic regression, minimum contrast, and composite likelihood methods. 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). Tools for validating the fitted model include simulation envelopes, residuals, residual plots and Q-Q plots, leverage and influence diagnostics, partial residuals, and added variable plots.

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Version

Install

install.packages('spatstat')

Monthly Downloads

18,534

Version

1.37-0

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

May 9th, 2014

Functions in spatstat (1.37-0)

Kcross

Multitype K Function (Cross-type)
Ldot

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

Generic Ord Interaction model
StraussHard

The Strauss / Hard Core Point Process Model
Saturated

Saturated Pairwise Interaction model
Kmodel

K Function or Pair Correlation Function of a Point Process Model
Smooth.fv

Apply Smoothing to Function Values
Extract.fasp

Extract Subset of Function Array
Hardcore

The Hard Core Point Process Model
boxx

Multi-Dimensional Box
Ldot.inhom

Inhomogeneous Multitype L Dot Function
bramblecanes

Hutchings' Bramble Canes data
affine.tess

Apply Geometrical Transformation To Tessellation
Jmulti

Marked J Function
Triplets

The Triplet Point Process Model
applynbd

Apply Function to Every Neighbourhood in a Point Pattern
angles.psp

Orientation Angles of Line Segments
as.matrix.im

Convert Pixel Image to Matrix or Array
MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model
anova.ppm

ANOVA for Fitted Point Process Models
Extract.influence.ppm

Extract Subset of Influence Object
rmhcontrol

Set Control Parameters for Metropolis-Hastings Algorithm.
as.interact

Extract Interaction Structure
commonGrid

Determine A Common Spatial Domain And Pixel Resolution
AreaInter

The Area Interaction Point Process Model
affine.lpp

Apply Geometrical Transformations to Point Pattern on a Linear Network
Smooth.ppp

Spatial smoothing of observations at irregular points
envelope.envelope

Recompute Envelopes
as.data.frame.im

Convert Pixel Image to Data Frame
as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern
PairPiece

The Piecewise Constant Pairwise Interaction Point Process Model
as.box3

Convert Data to Three-Dimensional Box
dummify

Convert Data to Numeric Values by Constructing Dummy Variables
Extract.owin

Extract Subset of Window
by.ppp

Apply a Function to a Point Pattern Broken Down by Factor
cauchy.estK

Fit the Neyman-Scott cluster process with Cauchy kernel
Lest

L-function
Extract.linnet

Extract Subset of Linear Network
fasp.object

Function Arrays for Spatial Patterns
BadGey

Hybrid Geyer Point Process Model
by.im

Apply Function to Image Broken Down by Factor
closepairs

Close Pairs of Points
dclf.progress

Progress Plot of Test of Spatial Pattern
as.fv

Convert Data To Class fv
default.dummy

Generate a Default Pattern of Dummy Points
bdist.tiles

Distance to Boundary of Window
colourmap

Colour Lookup Tables
Smooth.msr

Smooth a Signed or Vector-Valued Measure
bw.diggle

Cross Validated Bandwidth Selection for Kernel Density
convolve.im

Convolution of Pixel Images
as.lpp

Convert Data to a Point Pattern on a Linear Network
im.apply

Apply Function Pixelwise to List of Images
areaGain

Difference of Disc Areas
Hest

Spherical Contact Distribution Function
Finhom

Inhomogeneous Empty Space Function
compatible.fasp

Test Whether Function Arrays Are Compatible
Jinhom

Inhomogeneous J-function
ellipse

Elliptical Window.
OrdThresh

Ord's Interaction model
cauchy.estpcf

Fit the Neyman-Scott cluster process with Cauchy kernel
Jdot

Multitype J Function (i-to-any)
edges

Extract Boundary Edges of a Window.
Gfox

Foxall's Distance Functions
append.psp

Combine Two Line Segment Patterns
eval.fasp

Evaluate Expression Involving Function Arrays
area.owin

Area of a Window
intensity

Intensity of a Dataset or a Model
density.psp

Kernel Smoothing of Line Segment Pattern
as.linim

Convert to Pixel Image on Linear Network
marks.psp

Marks of a Line Segment Pattern
Pairwise

Generic Pairwise Interaction model
distfun.lpp

Distance Map on Linear Network
bw.scott

Scott's Rule for Bandwidth Selection for Kernel Density
as.ppm

Extract Fitted Point Process Model
Extract.leverage.ppm

Extract Subset of Leverage Object
infline

Infinite Straight Lines
Extract.listof

Extract or Replace Subset of a List of Things
DiggleGatesStibbard

Diggle-Gates-Stibbard Point Process Model
Ginhom

Inhomogeneous Nearest Neighbour Function
clickpoly

Interactively Define a Polygon
dummy.ppm

Extract Dummy Points Used to Fit a Point Process Model
demohyper

Demonstration Example of Hyperframe of Spatial Data
finpines

Pine saplings in Finland.
coef.slrm

Coefficients of Fitted Spatial Logistic Regression Model
crossing.psp

Crossing Points of Two Line Segment Patterns
layerplotargs

Extract or Replace the Plot Arguments of a Layered Object
edge.Ripley

Ripley's Isotropic Edge Correction
crossdist.psp

Pairwise distances between two different line segment patterns
data.ppm

Extract Original Data from a Fitted Point Process Model
affine.linnet

Apply Geometrical Transformations to a Linear Network
Extract.tess

Extract or Replace Subset of Tessellation
is.ppm

Test Whether An Object Is A Fitted Point Process Model
Tstat

Third order summary statistic
Gres

Residual G Function
Kinhom

Inhomogeneous K-function
disc

Circular Window
Kmeasure

Reduced Second Moment Measure
nncross

Nearest Neighbours Between Two Patterns
cbind.hyperframe

Combine Hyperframes by Rows or by Columns
is.owin

Test Whether An Object Is A Window
clickppp

Interactively Add Points
gauss.hermite

Gauss-Hermite Quadrature Approximation to Expectation for Normal Distribution
methods.slrm

Methods for Spatial Logistic Regression Models
Gcom

Model Compensator of Nearest Neighbour Function
intensity.quadratcount

Intensity Estimates Using Quadrat Counts
identify.psp

Identify Segments in a Line Segment Pattern
bei

Tropical rain forest trees
clarkevans.test

Clark and Evans Test
SatPiece

Piecewise Constant Saturated Pairwise Interaction Point Process Model
linearpcfdot

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

Make Pixel Images Compatible
localKinhom

Inhomogeneous Neighbourhood Density Function
K3est

K-function of a Three-Dimensional Point Pattern
Iest

Estimate the I-function
nncross.lpp

Nearest Neighbours on a Linear Network
Lcross

Multitype L-function (cross-type)
plot.plotppm

Plot a plotppm Object Created by plot.ppm
invoke.symbolmap

Plot Data Using Graphics Symbol Map
as.mask.psp

Convert Line Segment Pattern to Binary Pixel Mask
Kres

Residual K Function
add.texture

Fill Plot With Texture
bdist.pixels

Distance to Boundary of Window
blur

Apply Gaussian Blur to a Pixel Image
eem

Exponential Energy Marks
anova.mppm

ANOVA for Fitted Multiple Point Process Models
areaLoss

Difference of Disc Areas
cells

Biological Cells Point Pattern
anemones

Beadlet Anemones Data
linim

Create Pixel Image on Linear Network
markvario

Mark Variogram
LambertW

Lambert's W Function
Kdot.inhom

Inhomogeneous Multitype K Dot Function
lineardisc

Compute Disc of Given Radius in Linear Network
clmfires

Castilla-La Mancha Forest Fires
Strauss

The Strauss Point Process Model
linearpcfcross

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

Morphological Dilation
fitted.mppm

Fitted Conditional Intensity for Multiple Point Process Model
edges2triangles

List Triangles in a Graph
affine.im

Apply Affine Transformation To Pixel Image
fitin.ppm

Extract the Interaction from a Fitted Point Process Model
Kdot

Multitype K Function (i-to-any)
kstest.ppm

Kolmogorov-Smirnov Test for Point Pattern or Point Process Model
is.marked.ppp

Test Whether A Point Pattern is Marked
linearpcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-type) for Linear Point Pattern
inforder.family

Infinite Order Interaction Family
as.owin

Convert Data To Class owin
methods.lppm

Methods for Fitted Point Process Models on a Linear Network
Jcross

Multitype J Function (i-to-j)
Linhom

L-function
clickjoin

Interactively join vertices on a plot
markconnect

Mark Connection Function
linearKinhom

Inhomogeneous Linear K Function
Smooth

Spatial smoothing of data
Gcross

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

Lansing Woods Point Pattern
Extract.quad

Subset of Quadrature Scheme
erosion

Morphological Erosion
chop.tess

Subdivide a Window or Tessellation using a Set of Lines
alltypes

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

Nearest neighbour
Hybrid

Hybrid Interaction Point Process Model
lgcp.estpcf

Fit a Log-Gaussian Cox Point Process by Minimum Contrast
pairdist.ppx

Pairwise Distances in Any Dimensions
coef.ppm

Coefficients of Fitted Point Process Model
nncorr

Nearest-Neighbour Correlation Indices of Marked Point Pattern
Extract.lpp

Extract Subset of Point Pattern on Linear Network
gridcentres

Rectangular grid of points
logLik.ppm

Log Likelihood and AIC for Point Process Model
copper

Berman-Huntington points and lines data
envelope.lpp

Envelope for Point Patterns on Linear Network
Extract.im

Extract Subset of Image
beginner

Print Introduction For Beginners
Kcross.inhom

Inhomogeneous Cross K Function
pairdist.psp

Pairwise distances between line segments
anova.lppm

ANOVA for Fitted Point Process Models on Linear Network
markcorrint

Mark Correlation Integral
iplot

Point and Click Interface for Displaying Spatial Data
chicago

Chicago Street Crime Data
plot.fv

Plot Function Values
Kmulti

Marked K-Function
Gdot

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

Area of Part of Disc
predict.mppm

Prediction for Fitted Multiple Point Process Model
plot.linim

Plot Pixel Image on Linear Network
plot.layered

Layered Plot
linearmarkconnect

Mark Connection Function for Multitype Point Pattern on Linear Network
heather

Diggle's Heather Data
imcov

Spatial Covariance of a Pixel Image
bronzefilter

Bronze gradient filter data
as.psp

Convert Data To Class psp
lurking

Lurking variable plot
rpoispp3

Generate Poisson Point Pattern in Three Dimensions
linearpcfinhom

Inhomogeneous Linear Pair Correlation Function
distmap.ppp

Distance Map of Point Pattern
ganglia

Beta Ganglion Cells in Cat Retina, Old Version
Extract.hyperframe

Extract or Replace Subset of Hyperframe
compatible

Test Whether Objects Are Compatible
pcfdot.inhom

Inhomogeneous Multitype Pair Correlation Function (Type-i-To-Any-Type)
convexhull.xy

Convex Hull of Points
Extract.splitppp

Extract or Replace Sub-Patterns
as.function.fv

Convert Function Value Table to Function
diameter.boxx

Geometrical Calculations for Multi-Dimensional Box
quad.ppm

Extract Quadrature Scheme Used to Fit a Point Process Model
deltametric

Delta Metric
intensity.ppm

Intensity of Fitted Point Process Model
quasirandom

Quasirandom Patterns
is.marked.ppm

Test Whether A Point Process Model is Marked
integral.msr

Integral of a Measure
endpoints.psp

Endpoints of Line Segment Pattern
model.matrix.ppm

Extract Design Matrix from Point Process Model
clarkevans

Clark and Evans Aggregation Index
coef.mppm

Coefficients of Point Process Model Fitted to Multiple Point Patterns
crossdist.lpp

Pairwise distances between two point patterns on a linear network
letterR

Window in Shape of Letter R
as.data.frame.hyperframe

Coerce Hyperframe to Data Frame
mean.im

Maximum, Minimum, Mean, Median, Range or Sum of Pixel Values in an Image
japanesepines

Japanese Pines Point Pattern
model.images

Compute Images of Constructed Covariates
Jest

Estimate the J-function
formula.fv

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

K Function or Pair Correlation Function of Gibbs Point Process model
plot.ppp

plot a Spatial Point Pattern
clickbox

Interactively Define a Rectangle
bdist.points

Distance to Boundary of Window
Kscaled

Locally Scaled K-function
plot.linnet

Plot a linear network
complement.owin

Take Complement of a Window
as.im

Convert to Pixel Image
dclf.test

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

Bootstrap Confidence Bands for Summary Function
concatxy

Concatenate x,y Coordinate Vectors
exactMPLEstrauss

Exact Maximum Pseudolikelihood Estimate for Stationary Strauss Process
nnfun

Nearest Neighbour Index Map as a Function
is.rectangle

Determine Type of Window
psp.object

Class of Line Segment Patterns
centroid.owin

Centroid of a window
rknn

Theoretical Distribution of Nearest Neighbour Distance
as.polygonal

Convert a Window to a Polygonal Window
delaunay

Delaunay Triangulation of Point Pattern
ewcdf

Weighted Empirical Cumulative Distribution Function
plot.mppm

plot a Fitted Multiple Point Process Model
gordon

People in Gordon Square
interp.im

Interpolate a Pixel Image
is.lpp

Test Whether An Object Is A Point Pattern on a Linear Network
split.im

Divide Image Into Sub-images
residuals.ppm

Residuals for Fitted Point Process Model
is.multitype.ppm

Test Whether A Point Process Model is Multitype
rStrauss

Perfect Simulation of the Strauss Process
lpp

Create Point Pattern on Linear Network
corners

Corners of a rectangle
profilepl

Profile Maximum Pseudolikelihood
crossdist.ppp

Pairwise distances between two different point patterns
as.ppp

Convert Data To Class ppp
Smoothfun.ppp

Smooth Interpolation of Marks as a Spatial Function
Concom

The Connected Component Process Model
default.rmhcontrol

Set Default Control Parameters for Metropolis-Hastings Algorithm.
duplicated.ppp

Determine Duplicated Points in a Spatial Point Pattern
is.stationary

Recognise Stationary and Poisson Point Process Models
adaptive.density

Intensity Estimate of Point Pattern Using Tessellation
nncross.pp3

Nearest Neighbours Between Two Patterns in 3D
psstA

Pseudoscore Diagnostic For Fitted Model against Area-Interaction Alternative
nnwhich.ppx

Nearest Neighbours in Any Dimensions
gorillas

Gorilla Nesting Sites
LennardJones

The Lennard-Jones Potential
multiplicity.ppp

Count Multiplicity of Duplicate Points
methods.rho2hat

Methods for Intensity Functions of Two Spatial Covariates
miplot

Morishita Index Plot
as.rectangle

Window Frame
intersect.tess

Intersection of Two Tessellations
unmark

Remove Marks
residuals.mppm

Residuals for Point Process Model Fitted to Multiple Point Patterns
rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.
quadratcount

Quadrat counting for a point pattern
transect.im

Pixel Values Along a Transect
psst

Pseudoscore Diagnostic For Fitted Model against General Alternative
convexhull

Convex Hull
F3est

Empty Space Function of a Three-Dimensional Point Pattern
boundingbox

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

Apply Scalar Dilation
chorley

Chorley-Ribble Cancer Data
pixelquad

Quadrature Scheme Based on Pixel Grid
rhohat

Smoothing Estimate of Covariate Transformation
Fest

Estimate the empty space function F
interp.colourmap

Interpolate smoothly between specified colours
nearestsegment

Find Line Segment Nearest to Each Point
compareFit

Residual Diagnostics for Multiple Fitted Models
rshift

Random Shift
methods.pp3

Methods for three-dimensional point patterns
leverage.ppm

Leverage Measure for Spatial Point Process Model
plot.listof

Plot a List of Things
incircle

Find Largest Circle Inside Window
edge.Trans

Translation Edge Correction
spruces

Spruces Point Pattern
reach

Interaction Distance of a Point Process
is.convex

Test Whether a Window is Convex
demopat

Artificial Data Point Pattern
km.rs

Kaplan-Meier and Reduced Sample Estimator using Histograms
objsurf

Objective Function Surface
linearK

Linear K Function
coords

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
Extract.fv

Extract Subset of Function Values
eval.fv

Evaluate Expression Involving Functions
formula.ppm

Model Formulae for Gibbs Point Process Models
distfun

Distance Map as a Function
discretise

Safely Convert Point Pattern Window to Binary Mask
connected

Connected components
dfbetas.ppm

Parameter influence measure
distmap.psp

Distance Map of Line Segment Pattern
methods.box3

Methods for Three-Dimensional Box
diameter

Diameter of an Object
fitted.slrm

Fitted Probabilities for Spatial Logistic Regression
periodify

Make Periodic Copies of a Spatial Pattern
nztrees

New Zealand Trees Point Pattern
methods.linnet

Methods for Linear Networks
osteo

Osteocyte Lacunae Data: Replicated Three-Dimensional Point Patterns
bw.ppl

Likelihood Cross Validation Bandwidth Selection for Kernel Density
methods.layered

Methods for Layered Objects
pairsat.family

Saturated Pairwise Interaction Point Process Family
mincontrast

Method of Minimum Contrast
rPoissonCluster

Simulate Poisson Cluster Process
density.ppp

Kernel Smoothed Intensity of Point Pattern
fvnames

Abbreviations for Groups of Columns in Function Value Table
psp

Create a Line Segment Pattern
gridweights

Compute Quadrature Weights Based on Grid Counts
quantile.im

Sample Quantiles of Pixel Image
simulate.kppm

Simulate a Fitted Cluster Point Process Model
plot.bermantest

Plot Result of Berman Test
amacrine

Hughes' Amacrine Cell Data
maxnndist

Compute Minimum or Maximum Nearest-Neighbour Distance
DiggleGratton

Diggle-Gratton model
quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern
identify.ppp

Identify Points in a Point Pattern
solutionset

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

Data and Code From JRSS Discussion Paper on Residuals
rmh.ppm

Simulate from a Fitted Point Process Model
unnormdensity

Weighted kernel smoother
plot.ppm

plot a Fitted Point Process Model
predict.kppm

Prediction from a Fitted Cluster Point Process Model
Extract.msr

Extract Subset of Signed or Vector Measure
nsegments

Number of Line Segments in a Line Segment Pattern
rthin

Random Thinning
flipxy

Exchange X and Y Coordinates
closing

Morphological Closing
dmixpois

Mixed Poisson Distribution
nbfires

Point Patterns of New Brunswick Forest Fires
dirichlet.weights

Compute Quadrature Weights Based on Dirichlet Tessellation
affine

Apply Affine Transformation
run.simplepanel

Run Point-and-Click Interface
rgbim

Create Colour-Valued Pixel Image
rLGCP

Simulate Log-Gaussian Cox Process
methods.rhohat

Methods for Intensity Functions of Spatial Covariate
G3est

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

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

Create a Point Pattern
pixelcentres

Extract Pixel Centres as Point Pattern
longleaf

Longleaf Pines Point Pattern
Extract.ppx

Extract Subset of Multidimensional Point Pattern
Gest

Nearest Neighbour Distance Function G
pp3

Three Dimensional Point Pattern
methods.boxx

Methods for Multi-Dimensional Box
urkiola

Urkiola Woods Point Pattern
plot.slrm

Plot a Fitted Spatial Logistic Regression
im

Create a Pixel Image Object
bw.stoyan

Stoyan's Rule of Thumb for Bandwidth Selection
hyperframe

Hyper Data Frame
progressreport

Print Progress Reports
timed

Record the Computation Time
npoints

Number of Points in a Point Pattern
default.expand

Default Expansion Rule for Simulation of Model
linearpcfdot.inhom

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

Pairwise distances
simplenet

Simple Example of Linear Network
is.multitype.ppp

Test Whether A Point Pattern is Multitype
stratrand

Stratified random point pattern
hybrid.family

Hybrid Interaction Family
delaunay.distance

Distance on Delaunay Triangulation
ripras

Estimate window from points alone
rescale.ppp

Convert Point Pattern to Another Unit of Length
MultiHard

The Multitype Hard Core Point Process Model
methods.funxy

Methods for Spatial Functions
is.ppp

Test Whether An Object Is A Point Pattern
Kmulti.inhom

Inhomogeneous Marked K-Function
istat

Point and Click Interface for Exploratory Analysis of Point Pattern
bermantest

Berman's Tests for Point Process Model
nnwhich.pp3

Nearest neighbours in three dimensions
Emark

Diagnostics for random marking
nnmap

K-th Nearest Point Map
rpoispp

Generate Poisson Point Pattern
plot.tess

Plot a tessellation
opening

Morphological Opening
integral.im

Integral of a Pixel Image
linearKcross

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

Simulate Matern Model I
Extract.layered

Extract Subset of a Layered Object
rmhstart

Determine Initial State for Metropolis-Hastings Simulation.
contour.listof

Plot a List of Things
npfun

Dummy Function Returns Number of Points
bw.relrisk

Cross Validated Bandwidth Selection for Relative Risk Estimation
is.empty

Test Whether An Object Is Empty
rHardcore

Perfect Simulation of the Hardcore Process
raster.x

Cartesian Coordinates for a Pixel Raster
logLik.slrm

Loglikelihood of Spatial Logistic Regression
psstG

Pseudoscore Diagnostic For Fitted Model against Saturation Alternative
expand.owin

Apply Expansion Rule
markcorr

Mark Correlation Function
idw

Inverse-distance weighted smoothing of observations at irregular points
swedishpines

Swedish Pines Point Pattern
distmap

Distance Map
rQuasi

Generate Quasirandom Point Pattern in Given Window
rescue.rectangle

Convert Window Back To Rectangle
model.depends

Identify Covariates Involved in each Model Term
linearpcf

Linear Pair Correlation Function
compatible.im

Test Whether Pixel Images Are Compatible
summary.splitppp

Summary of a Split Point Pattern
waterstriders

Waterstriders data. Three independent replications of a point pattern formed by insects.
plot.fasp

Plot a Function Array
nndensity.ppp

Estimate Intensity of Point Pattern Using Nearest Neighbour Distances
localpcf

Local pair correlation function
fv.object

Function Value Table
print.ppp

Print Brief Details of a Point Pattern Dataset
layered

Create List of Plotting Layers
crossdist

Pairwise distances
pcf

Pair Correlation Function
plot.scan.test

Plot Result of Scan Test
plot.kstest

Plot a Spatial Kolmogorov-Smirnov Test
nndist.psp

Nearest neighbour distances between line segments
murchison

Murchison gold deposits
ponderosa

Ponderosa Pine Tree Point Pattern
print.quad

Print a Quadrature Scheme
vcov.slrm

Variance-Covariance Matrix for a Fitted Spatial Logistic Regression
nndist

Nearest neighbour distances
pcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-Type)
pairdist.default

Pairwise distances
kstest.mppm

Kolmogorov-Smirnov Test for Multiple Point Process Model
plot.pp3

Plot a three-dimensional point pattern
box3

Three-Dimensional Box
quadrat.test.mppm

Chi-Squared Test for Multiple Point Process Model Based on Quadrat Counts
plot.psp

plot a Spatial Line Segment Pattern
shift.im

Apply Vector Translation To Pixel Image
rMosaicSet

Mosaic Random Set
pcf.fv

Pair Correlation Function obtained from K Function
hextess

Hexagonal Grid or Tessellation
runifpointOnLines

Generate N Uniform Random Points On Line Segments
is.hybrid

Test Whether Object is a Hybrid
quadrat.test.splitppp

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

Rotate
pool

Pool Data
summary.ppm

Summarizing a Fitted Point Process Model
rescale.owin

Convert Window to Another Unit of Length
matclust.estK

Fit the Matern Cluster Point Process by Minimum Contrast
dirichlet

Dirichlet Tessellation of Point Pattern
pppdist

Distance Between Two Point Patterns
compatible.fv

Test Whether Function Objects Are Compatible
rpoisppx

Generate Poisson Point Pattern in Any Dimensions
spatstat.options

Internal Options in Spatstat Package
pyramidal

Pyramidal Neurons in Cingulate Cortex
print.psp

Print Brief Details of a Line Segment Pattern Dataset
textureplot

Plot Image Using Texture Fill
sharpen

Data Sharpening of Point Pattern
rshift.psp

Randomly Shift a Line Segment Pattern
ippm

Fit Point Process Model Involving Irregular Trend Parameters
stieltjes

Compute Integral of Function Against Cumulative Distribution
pcf.fasp

Pair Correlation Function obtained from array of K functions
rMosaicField

Mosaic Random Field
summary.im

Summarizing a Pixel Image
affine.owin

Apply Affine Transformation To Window
layout.boxes

Generate a Row or Column Arrangement of Rectangles.
Kest

K-function
simulate.ppm

Simulate a Fitted Gibbs Point Process Model
methods.objsurf

Methods for Objective Function Surfaces
rDGS

Perfect Simulation of the Diggle-Gates-Stibbard Process
varblock

Estimate Variance of Summary Statistic by Subdivision
project.ppm

Force Point Process Model to be Valid
rotate.owin

Rotate a Window
predict.lppm

Predict Point Process Model on Linear Network
msr

Signed or Vector-Valued Measure
rSSI

Simulate Simple Sequential Inhibition
nndist.lpp

Nearest neighbour distances on a linear network
spokes

Spokes pattern of dummy points
betacells

Beta Ganglion Cells in Cat Retina
pairdist

Pairwise distances
pairdist.pp3

Pairwise distances in Three Dimensions
ord.family

Ord Interaction Process Family
fitted.ppm

Fitted Conditional Intensity for Point Process Model
rMatClust

Simulate Matern Cluster Process
summary.owin

Summary of a Spatial Window
rescale.im

Convert Pixel Image to Another Unit of Length
intersect.owin

Intersection, Union or Set Subtraction of Two Windows
valid.ppm

Check Whether Point Process Model is Valid
rmh

Simulate point patterns using the Metropolis-Hastings algorithm.
kppm

Fit Cluster or Cox Point Process Model
rotate.psp

Rotate a Line Segment Pattern
inside.owin

Test Whether Points Are Inside A Window
plot.im

Plot a Pixel Image
logLik.mppm

Log Likelihood for Poisson Point Process Model
dilated.areas

Areas of Morphological Dilations
matchingdist

Distance for a Point Pattern Matching
reflect

Reflect In Origin
plot.hyperframe

Plot Entries in a Hyperframe
rjitter

Random Perturbation of a Point Pattern
setcov

Set Covariance of a Window
quad.object

Class of Quadrature Schemes
texturemap

Texture Map
summary.quad

Summarizing a Quadrature Scheme
print.im

Print Brief Details of an Image
pairdist.lpp

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

Calculate four standard summary functions of a point pattern.
simulate.slrm

Simulate a Fitted Spatial Logistic Regression Model
pcfmulti

Marked pair correlation function
scan.test

Spatial Scan Test
unique.ppp

Extract Unique Points from a Spatial Point Pattern
tiles

Extract List of Tiles in a Tessellation
owin.object

Class owin
pixellate.owin

Convert Window to Pixel Image
persp.im

Perspective Plot of Pixel Image
update.kppm

Update a Fitted Cluster Point Process Model
relrisk

Nonparametric Estimate of Spatially-Varying Relative Risk
rmhmodel

Define Point Process Model for Metropolis-Hastings Simulation.
quadratresample

Resample a Point Pattern by Resampling Quadrats
tilenames

Names of Tiles in a Tessellation
anova.slrm

Analysis of Deviance for Spatial Logistic Regression Models
density.splitppp

Kernel Smoothed Intensity of Split Point Pattern
rotate.ppp

Rotate a Point Pattern
envelope.pp3

Simulation Envelopes of Summary Function for 3D Point Pattern
pixellate.psp

Convert Line Segment Pattern to Pixel Image
rmpoispp

Generate Multitype Poisson Point Pattern
diagnose.ppm

Diagnostic Plots for Fitted Point Process Model
trim.rectangle

Cut margins from rectangle
split.hyperframe

Divide Hyperframe Into Subsets and Reassemble
shift.ppp

Apply Vector Translation To Point Pattern
levelset

Level Set of a Pixel Image
latest.news

Print News About Latest Version of Package
subfits

Extract List of Individual Point Process Models
runifdisc

Generate N Uniform Random Points in a Disc
plot.lpp

Plot Point Pattern on Linear Network
rCauchy

Simulate Neyman-Scott Point Process with Cauchy cluster kernel
spatstat-package

The Spatstat Package
overlap.owin

Compute Area of Overlap
rlinegrid

Generate grid of parallel lines with random displacement
perimeter

Perimeter Length of Window
summary.listof

Summary of a List of Things
vcov.ppm

Variance-Covariance Matrix for a Fitted Point Process Model
union.quad

Union of Data and Dummy Points
flu

Influenza Virus Proteins
waka

Trees in Waka national park
runifpointx

Generate N Uniform Random Points in Any Dimensions
reduced.sample

Reduced Sample Estimator using Histogram Data
intensity.lpp

Empirical Intensity of Point Pattern on Linear Network
plot.symbolmap

Plot a Graphics Symbol Map
fv

Create a Function Value Table
nnfun.lpp

Nearest Neighbour Map on Linear Network
markstat

Summarise Marks in Every Neighbourhood in a Point Pattern
tess

Create a Tessellation
vargamma.estpcf

Fit the Neyman-Scott Cluster Point Process with Variance Gamma kernel
vcov.mppm

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

Print a Fitted Point Process Model
is.im

Test Whether An Object Is A Pixel Image
ppm

Fit Point Process Model to Data
redwood

California Redwoods Point Pattern (Ripley's Subset)
scaletointerval

Rescale Data to Lie Between Specified Limits
update.symbolmap

Update a Graphics Symbol Map.
update.ppm

Update a Fitted Point Process Model
rat

Ratio object
rNeymanScott

Simulate Neyman-Scott Process
qqplot.ppm

Q-Q Plot of Residuals from Fitted Point Process Model
Extract.psp

Extract Subset of Line Segment Pattern
is.multitype

Test whether Object is Multitype
Replace.im

Reset Values in Subset of Image
linnet

Create a Linear Network
rounding

Detect Numerical Rounding
rpoint

Generate N Random Points
selfcrossing.psp

Crossing Points in a Line Segment Pattern
pixellate

Convert Spatial Object to Pixel Image
affine.psp

Apply Affine Transformation To Line Segment Pattern
rDiggleGratton

Perfect Simulation of the Diggle-Gratton Process
rescale

Convert dataset to another unit of length
vcov.kppm

Variance-Covariance Matrix for a Fitted Cluster Point Process Model
plot.influence.ppm

Plot Influence Measure
distcdf

Distribution Function of Interpoint Distance
plot.kppm

Plot a fitted cluster point process
runifpoint3

Generate N Uniform Random Points in Three Dimensions
humberside

Humberside Data on Childhood Leukaemia and Lymphoma
spatstat-deprecated

Deprecated spatstat functions
volume

Volume of an Object
runiflpp

Uniform Random Points on a Linear Network
tile.areas

Compute Areas of Tiles in a Tessellation
tweak.colourmap

Change Colour Values in a Colour Map
quantile.ewcdf

Quantiles of Weighted Empirical Cumulative Distribution Function
rmpoint

Generate N Random Multitype Points
kaplan.meier

Kaplan-Meier Estimator using Histogram Data
methods.linfun

Methods for Functions on Linear Network
rpoisppOnLines

Generate Poisson Point Pattern on Line Segments
summary.psp

Summary of a Line Segment Pattern Dataset
summary.ppp

Summary of a Point Pattern Dataset
rmhexpand

Specify Simulation Window or Expansion Rule
thomas.estpcf

Fit the Thomas Point Process by Minimum Contrast
sessionLibs

Print Names and Version Numbers of Libraries Loaded
plot.envelope

Plot a Simulation Envelope
update.rmhcontrol

Update Control Parameters of Metropolis-Hastings Algorithm
vertices

Vertices of a Window
localK

Neighbourhood density function
rpoisline

Generate Poisson Random Line Process
pointsOnLines

Place Points Evenly Along Specified Lines
predict.ppm

Prediction from a Fitted Point Process Model
rsyst

Simulate systematic random point pattern
triplet.family

Triplet Interaction Family
rshift.splitppp

Randomly Shift a List of Point Patterns
simba

Simulated data from a two-group experiment with replication within each group.
pcfcross

Multitype pair correlation function (cross-type)
lppm

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

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

Random Re-Labelling of Point Pattern
nnmark

Mark of Nearest Neighbour
eval.im

Evaluate Expression Involving Pixel Images
bounding.box.xy

Convex Hull of Points
plot.quadrattest

Display the result of a quadrat counting test.
midpoints.psp

Midpoints of Line Segment Pattern
methods.fii

Methods for Fitted Interactions
pcfdot

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

Marked Nearest Neighbour Distance Function
MultiStrauss

The Multitype Strauss Point Process Model
will.expand

Test Expansion Rule
as.hyperframe

Convert Data to Hyperframe
bind.fv

Combine Function Value Tables
diameter.box3

Geometrical Calculations for Three-Dimensional Box
bw.frac

Bandwidth Selection Based on Window Geometry
cut.im

Convert Pixel Image from Numeric to Factor
connected.ppp

Connected components of a point pattern
hyytiala

Scots pines and other trees at Hyytiala
lengths.psp

Lengths of Line Segments
intensity.ppp

Empirical Intensity of Point Pattern
pcfinhom

Inhomogeneous Pair Correlation Function
lut

Lookup Tables
linearmarkequal

Mark Connection Function for Multitype Point Pattern on Linear Network
linearKdot

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

Create a Window
im.object

Class of Images
matclust.estpcf

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

Partial Residuals for Point Process Model
pcf.ppp

Pair Correlation Function of Point Pattern
nndist.ppx

Nearest Neighbour Distances in Any Dimensions
plot.leverage.ppm

Plot Leverage Function
plot.colourmap

Plot a Colour Map
methods.ppx

Methods for Multidimensional Space-Time Point Patterns
reload.or.compute

Compute Unless Previously Saved
simplify.owin

Approximate a Polygon by a Simpler Polygon
mucosa

Cells in Gastric Mucosa
project2segment

Move Point To Nearest Line
spatstat-internal

Internal spatstat functions
pairwise.family

Pairwise Interaction Process Family
sumouter

Compute Quadratic Forms
is.marked

Test Whether Marks Are Present
diameter.owin

Diameter of a Window
Fiksel

The Fiksel Interaction
Kmodel.kppm

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

Rounding of Pixel Values
circumradius

Circumradius and Diameter of a Linear Network
as.tess

Convert Data To Tessellation
deriv.fv

Calculate Derivative of Function Values
Kcom

Model Compensator of K Function
collapse.fv

Collapse Several Function Tables into One
hist.im

Histogram of Pixel Values in an Image
harmonic

Basis for Harmonic Functions
methods.units

Methods for Units
envelope

Simulation Envelopes of Summary Function
nearest.raster.point

Find Pixel Nearest to a Given Point
methods.kppm

Methods for Cluster Point Process Models
pppmatching.object

Class of Point Matchings
quadrats

Divide Region into Quadrats
pool.fasp

Pool Data from Several Function Arrays
rshift.ppp

Randomly Shift a Point Pattern
rpoislpp

Poisson Point Process on a Linear Network
rmhmodel.list

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

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

Apply Affine Transformation To Point Pattern
shift

Apply Vector Translation
shift.psp

Apply Vector Translation To Line Segment Pattern
linearKcross.inhom

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

Weighted Histogram
symbolmap

Graphics Symbol Map
predict.slrm

Predicted or Fitted Values from Spatial Logistic Regression
rcellnumber

Generate Random Numbers of Points for Cell Process
paracou

Kimboto trees at Paracou, French Guiana
plot.lppm

Plot a Fitted Point Process Model on a Linear Network
nndist.pp3

Nearest neighbour distances in three dimensions
mppm

Fit Point Process Model to Several Point Patterns
crossdist.pp3

Pairwise distances between two different three-dimensional point patterns
pool.quadrattest

Pool Several Quadrat Tests
model.matrix.slrm

Extract Design Matrix from Spatial Logistic Regression Model
plot.quad

Plot a Spatial Quadrature Scheme
pppmatching

Create a Point Matching
rMaternII

Simulate Matern Model II
pool.rat

Pool Data from Several Ratio Objects
round.ppp

Apply Numerical Rounding to Spatial Coordinates
quadscheme

Generate a Quadrature Scheme from a Point Pattern
rcell

Simulate Baddeley-Silverman Cell Process
rVarGamma

Simulate Neyman-Scott Point Process with Variance Gamma cluster kernel
shift.owin

Apply Vector Translation To Window
lgcp.estK

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

Methods for Point Patterns on a Linear Network
unitname

Name for Unit of Length
superimpose

Superimpose Several Geometric Patterns
marks

Marks of a Point Pattern
Geyer

Geyer's Saturation Point Process Model
rotate.im

Rotate a Pixel Image
as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame
addvar

Added Variable Plot for Point Process Model
bw.smoothppp

Cross Validated Bandwidth Selection for Spatial Smoothing
clip.infline

Intersect Infinite Straight Lines with a Window
beachcolours

Create Colour Scheme for a Range of Numbers
eval.linim

Evaluate Expression Involving Pixel Images on Linear Network
crossdist.default

Pairwise distances between two different sets of points
effectfun

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

Aherne's hamster tumour data
Softcore

The Soft Core Point Process Model
model.frame.ppm

Extract the Variables in a Point Process Model
crossdist.ppx

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns
plot.owin

Plot a Spatial Window
pcf3est

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

Plot a Signed or Vector-Valued Measure
plot.splitppp

Plot a List of Point Patterns
plot.texturemap

Plot a Texture Map
quadrat.test

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

Class of Fitted Point Process Models
pairs.im

Scatterplot Matrix for Pixel Images
rpoislinetess

Poisson Line Tessellation
simplepanel

Simple Point-and-Click Interface Panels
simdat

Simulated Point Pattern
slrm

Spatial Logistic Regression
is.subset.owin

Determine Whether One Window is Contained In Another
vargamma.estK

Fit the Neyman-Scott Cluster Point Process with Variance Gamma kernel
thomas.estK

Fit the Thomas Point Process by Minimum Contrast
Extract.ppp

Extract or Replace Subset of Point Pattern
scanLRTS

Likelihood Ratio Test Statistic for Scan Test
with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe
Lcross.inhom

Inhomogeneous Cross Type L Function
Kest.fft

K-function using FFT
as.matrix.owin

Convert Pixel Image to Matrix
border

Border Region of a Window
colourtools

Convert and Compare Colours in Different Formats
ants

Harkness-Isham ants' nests data
cut.ppp

Classify Points in a Point Pattern
distmap.owin

Distance Map of Window
Poisson

Poisson Point Process Model
contour.im

Contour plot of pixel image
as.mask

Pixel Image Approximation of a Window
with.fv

Evaluate an Expression in a Function Table
influence.ppm

Influence Measure for Spatial Point Process Model
eroded.areas

Areas of Morphological Erosions
clusterset

Allard-Fraley Estimator of Cluster Feature
linfun

Function on a Linear Network
pool.envelope

Pool Data from Several Envelopes
linearKdot.inhom

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

Fry Plot of Point Pattern
as.data.frame.ppp

Coerce Point Pattern to a Data Frame
pixellate.ppp

Convert Point Pattern to Pixel Image
ppm.ppp

Fit Point Process Model to Point Pattern Data
plot.quadratcount

Plot Quadrat Counts
nnclean

Nearest Neighbour Clutter Removal
ppp.object

Class of Point Patterns
nnwhich.lpp

Identify Nearest Neighbours on a Linear Network
rGaussPoisson

Simulate Gauss-Poisson Process
rStraussHard

Perfect Simulation of the Strauss-Hardcore Process
runifpoint

Generate N Uniform Random Points
rmhmodel.ppm

Interpret Fitted Model for Metropolis-Hastings Simulation.
shapley

Galaxies in the Shapley Supercluster
redwoodfull

California Redwoods Point Pattern (Entire Dataset)
split.ppx

Divide Multidimensional Point Pattern into Sub-patterns
rho2hat

Smoothed Relative Density of Pairs of Covariate Values
edges2vees

List Dihedral Triples in a Graph
funxy

Spatial Function Class
suffstat

Sufficient Statistic of Point Process Model
scanpp

Read Point Pattern From Data File
rThomas

Simulate Thomas Process
print.owin

Print Brief Details of a Spatial Window
square

Square Window
sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window
rstrat

Simulate Stratified Random Point Pattern
split.ppp

Divide Point Pattern into Sub-patterns
ppx

Multidimensional Space-Time Point Pattern