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spatstat (version 1.36-0)

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, and space-time point patterns in any number of dimensions. 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 and tessellations. 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

1.36-0

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

February 18th, 2014

Functions in spatstat (1.36-0)

Gcom

Model Compensator of Nearest Neighbour Function
Gdot

Multitype Nearest Neighbour Distance Function (i-to-any)
Extract.quad

Subset of Quadrature Scheme
Extract.msr

Extract Subset of Signed or Vector Measure
G3est

Nearest Neighbour Distance Distribution Function of a Three-Dimensional Point Pattern
Lcross.inhom

Inhomogeneous Cross Type L Function
Gfox

Foxall's Distance Functions
Geyer

Geyer's Saturation Point Process Model
affine.psp

Apply Affine Transformation To Line Segment Pattern
LennardJones

The Lennard-Jones Potential
Emark

Diagnostics for random marking
Gcross

Multitype Nearest Neighbour Distance Function (i-to-j)
as.rectangle

Window Frame
DiggleGratton

Diggle-Gratton model
MultiStrauss

The Multitype Strauss Point Process Model
Hardcore

The Hard Core Point Process Model
Extract.listof

Extract or Replace Subset of a List of Things
Iest

Estimate the I-function
Jcross

Multitype J Function (i-to-j)
Gmulti

Marked Nearest Neighbour Distance Function
BadGey

Hybrid Geyer Point Process Model
Smooth.ppp

Spatial smoothing of observations at irregular points
affine.lpp

Apply Geometrical Transformations to Point Pattern on a Linear Network
Ord

Generic Ord Interaction model
Extract.ppp

Extract or Replace Subset of Point Pattern
Ldot

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

Estimate the J-function
Smooth

Spatial smoothing of data
Linhom

L-function
Kest

K-function
Extract.fasp

Extract Subset of Function Array
coef.mppm

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

Convex Hull of Points
MultiHard

The Multitype Hard Core Point Process Model
AreaInter

The Area Interaction Point Process Model
as.data.frame.hyperframe

Coerce Hyperframe to Data Frame
Kdot.inhom

Inhomogeneous Multitype K Dot Function
as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame
Jdot

Multitype J Function (i-to-any)
F3est

Empty Space Function of a Three-Dimensional Point Pattern
amacrine

Hughes' Amacrine Cell Data
Kmodel

K Function or Pair Correlation Function of a Point Process Model
anova.ppm

ANOVA for Fitted Point Process Models
Extract.layered

Extract Subset of a Layered Object
Saturated

Saturated Pairwise Interaction model
Kmodel.ppm

K Function or Pair Correlation Function of Gibbs Point Process model
contour.listof

Plot a List of Things
Kmulti.inhom

Inhomogeneous Marked K-Function
as.owin

Convert Data To Class owin
Jinhom

Inhomogeneous J-function
as.function.fv

Convert Function Value Table to Function
OrdThresh

Ord's Interaction model
Concom

The Connected Component Process Model
LambertW

Lambert's W Function
crossdist.lpp

Pairwise distances between two point patterns on a linear network
Kcross

Multitype K Function (Cross-type)
alltypes

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

Inhomogeneous Nearest Neighbour Function
as.interact

Extract Interaction Structure
as.lpp

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

Convert a Window to a Polygonal Window
Kmodel.kppm

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

The Strauss Point Process Model
Fiksel

The Fiksel Interaction
bei

Tropical rain forest trees
distcdf

Distribution Function of Interpoint Distance
Extract.im

Extract Subset of Image
bw.relrisk

Cross Validated Bandwidth Selection for Relative Risk Estimation
clickpoly

Interactively Define a Polygon
Pairwise

Generic Pairwise Interaction model
Kinhom

Inhomogeneous K-function
Extract.splitppp

Extract or Replace Sub-Patterns
corners

Corners of a rectangle
bw.ppl

Likelihood Cross Validation Bandwidth Selection for Kernel Density
Kmeasure

Reduced Second Moment Measure
dirichlet.weights

Compute Quadrature Weights Based on Dirichlet Tessellation
Kest.fft

K-function using FFT
density.psp

Kernel Smoothing of Line Segment Pattern
diameter.owin

Diameter of a Window
Extract.owin

Extract Subset of Window
adaptive.density

Intensity Estimate of Point Pattern Using Tessellation
Poisson

Poisson Point Process Model
Extract.lpp

Extract Subset of Point Pattern on Linear Network
colourtools

Convert and Compare Colours in Different Formats
clmfires

Castilla-La Mancha Forest Fires
distfun.lpp

Distance Map on Linear Network
allstats

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

ANOVA for Fitted Multiple Point Process Models
append.psp

Combine Two Line Segment Patterns
Lcross

Multitype L-function (cross-type)
data.ppm

Extract Original Data from a Fitted Point Process Model
dfbetas.ppm

Parameter influence measure
centroid.owin

Centroid of a window
Hybrid

Hybrid Interaction Point Process Model
as.mask

Pixel Image Approximation of a Window
Smooth.msr

Smooth a Signed or Vector-Valued Measure
Hest

Spherical Contact Distribution Function
as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern
ants

Harkness-Isham ants' nests data
addvar

Added Variable Plot for Point Process Model
cbind.hyperframe

Combine Hyperframes by Rows or by Columns
clickjoin

Interactively join vertices on a plot
bronzefilter

Bronze gradient filter data
by.ppp

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

Diagnostic Plots for Fitted Point Process Model
compatible

Test Whether Objects Are Compatible
clarkevans

Clark and Evans Aggregation Index
Kscaled

Locally Scaled K-function
bw.smoothppp

Cross Validated Bandwidth Selection for Spatial Smoothing
affine.ppp

Apply Affine Transformation To Point Pattern
convolve.im

Convolution of Pixel Images
as.psp

Convert Data To Class psp
as.tess

Convert Data To Tessellation
chorley

Chorley-Ribble Cancer Data
as.matrix.owin

Convert Pixel Image to Matrix
by.im

Apply Function to Image Broken Down by Factor
areaGain

Difference of Disc Areas
affine.im

Apply Affine Transformation To Pixel Image
bw.frac

Bandwidth Selection Based on Window Geometry
integral.msr

Integral of a Measure
Softcore

The Soft Core Point Process Model
dirichlet

Dirichlet Tessellation of Point Pattern
delaunay

Delaunay Triangulation of Point Pattern
envelope.lpp

Envelope for Point Patterns on Linear Network
Triplets

The Triplet Point Process Model
dclf.test

Diggle-Cressie-Loosmore-Ford and Maximum Absolute Deviation Tests
identify.ppp

Identify Points in a Point Pattern
distmap

Distance Map
formula.fv

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

The Multitype/Hard Core Strauss Point Process Model
fryplot

Fry Plot of Point Pattern
chop.tess

Subdivide a Window or Tessellation using a Set of Lines
is.lpp

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

Demonstration Example of Hyperframe of Spatial Data
is.marked.ppm

Test Whether A Point Process Model is Marked
blur

Apply Gaussian Blur to a Pixel Image
flipxy

Exchange X and Y Coordinates
markcorr

Mark Correlation Function
envelope.envelope

Recompute Envelopes
bermantest

Berman's Tests for Point Process Model
crossdist.default

Pairwise distances between two different sets of points
bdist.pixels

Distance to Boundary of Window
layered

Create List of Plotting Layers
bdist.points

Distance to Boundary of Window
eval.im

Evaluate Expression Involving Pixel Images
envelope.pp3

Simulation Envelopes of Summary Function for 3D Point Pattern
diameter

Diameter of an Object
heather

Diggle's Heather Data
bounding.box

Bounding Box of a Window or Point Pattern
default.expand

Default Expansion Rule for Simulation of Model
crossdist.ppx

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

Convert Line Segment Pattern to Binary Pixel Mask
area.owin

Area of a Window
default.rmhcontrol

Set Default Control Parameters for Metropolis-Hastings Algorithm.
fasp.object

Function Arrays for Spatial Patterns
is.convex

Test Whether a Window is Convex
coords

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
anova.lppm

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

Test Whether An Object Is A Point Pattern
discretise

Safely Convert Point Pattern Window to Binary Mask
anemones

Beadlet Anemones Data
fitin.ppm

Extract the Interaction from a Fitted Point Process Model
pixellate

Convert Spatial Object to Pixel Image
complement.owin

Take Complement of a Window
inforder.family

Infinite Order Interaction Family
disc

Circular Window
is.hybrid

Test Whether Object is a Hybrid
predict.lppm

Predict Point Process Model on Linear Network
anova.slrm

Analysis of Deviance for Spatial Logistic Regression Models
border

Border Region of a Window
as.ppp

Convert Data To Class ppp
betacells

Beta Ganglion Cells in Cat Retina
expand.owin

Apply Expansion Rule
bw.scott

Scott's Rule for Bandwidth Selection for Kernel Density
bramblecanes

Hutchings' Bramble Canes data
harmonic

Basis for Harmonic Functions
hamster

Aherne's hamster tumour data
bw.diggle

Cross Validated Bandwidth Selection for Kernel Density
distmap.psp

Distance Map of Line Segment Pattern
connected

Connected components
clickppp

Interactively Add Points
inside.owin

Test Whether Points Are Inside A Window
is.rectangle

Determine Type of Window
japanesepines

Japanese Pines Point Pattern
lgcp.estpcf

Fit a Log-Gaussian Cox Point Process by Minimum Contrast
distmap.owin

Distance Map of Window
dilation

Morphological Dilation
exactMPLEstrauss

Exact Maximum Pseudolikelihood Estimate for Stationary Strauss Process
is.ppm

Test Whether An Object Is A Fitted Point Process Model
erosion

Morphological Erosion
linim

Create Pixel Image on Linear Network
eval.fv

Evaluate Expression Involving Functions
is.multitype

Test whether Object is Multitype
closepairs

Close Pairs of Points
crossdist

Pairwise distances
kaplan.meier

Kaplan-Meier Estimator using Histogram Data
clusterset

Allard-Fraley Estimator of Cluster Feature
as.matrix.im

Convert Pixel Image to Matrix or Array
is.multitype.ppm

Test Whether A Point Process Model is Multitype
Kcom

Model Compensator of K Function
applynbd

Apply Function to Every Neighbourhood in a Point Pattern
finpines

Pine saplings in Finland.
crossdist.ppp

Pairwise distances between two different point patterns
integral.im

Integral of a Pixel Image
density.ppp

Kernel Smoothed Intensity of Point Pattern
cut.im

Convert Pixel Image from Numeric to Factor
StraussHard

The Strauss / Hard Core Point Process Model
funxy

Spatial Function Class
im.object

Class of Images
compatible.fasp

Test Whether Function Arrays Are Compatible
chicago

Chicago Street Crime Data
delaunay.distance

Distance on Delaunay Triangulation
model.matrix.slrm

Extract Design Matrix from Spatial Logistic Regression Model
duplicated.ppp

Determine Duplicated Points in a Spatial Point Pattern
linearKdot.inhom

Inhomogeneous multitype K Function (Dot-type) for Linear Point Pattern
as.data.frame.im

Convert Pixel Image to Data Frame
methods.fii

Methods for Fitted Interactions
hextess

Hexagonal Grid or Tessellation
is.multitype.ppp

Test Whether A Point Pattern is Multitype
gorillas

Gorilla Nesting Sites
methods.kppm

Methods for Cluster Point Process Models
Kres

Residual K Function
ord.family

Ord Interaction Process Family
ppx

Multidimensional Space-Time Point Pattern
lineardisc

Compute Disc of Given Radius in Linear Network
is.empty

Test Whether An Object Is Empty
model.frame.ppm

Extract the Variables in a Point Process Model
methods.funxy

Methods for Spatial Functions
infline

Infinite Straight Lines
lohboot

Bootstrap Confidence Bands for Summary Function
dilated.areas

Areas of Morphological Dilations
endpoints.psp

Endpoints of Line Segment Pattern
pairsat.family

Saturated Pairwise Interaction Point Process Family
cauchy.estpcf

Fit the Neyman-Scott cluster process with Cauchy kernel
ganglia

Beta Ganglion Cells in Cat Retina, Old Version
fitted.ppm

Fitted Conditional Intensity for Point Process Model
coef.slrm

Coefficients of Fitted Spatial Logistic Regression Model
distmap.ppp

Distance Map of Point Pattern
fv

Create a Function Value Table
as.hyperframe

Convert Data to Hyperframe
levelset

Level Set of a Pixel Image
edge.Trans

Translation Edge Correction
box3

Three-Dimensional Box
plot.envelope

Plot a Simulation Envelope
logLik.ppm

Log Likelihood and AIC for Point Process Model
methods.pp3

Methods for three-dimensional point patterns
methods.linfun

Methods for Functions on Linear Network
nnwhich.ppx

Nearest Neighbours in Any Dimensions
nsegments

Number of Line Segments in a Line Segment Pattern
affine

Apply Affine Transformation
pixellate.ppp

Convert Point Pattern to Pixel Image
methods.rhohat

Methods for Intensity Functions of Spatial Covariate
Extract.tess

Extract or Replace Subset of Tessellation
kppm

Fit Cluster or Cox Point Process Model
intensity.ppm

Intensity of Fitted Point Process Model
edges2triangles

List Triangles in a Graph
circumradius

Circumradius and Diameter of a Linear Network
effectfun

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

New Zealand Trees Point Pattern
logLik.mppm

Log Likelihood for Poisson Point Process Model
flu

Influenza Virus Proteins
is.im

Test Whether An Object Is A Pixel Image
linearpcfinhom

Inhomogeneous Linear Pair Correlation Function
linearmarkequal

Mark Connection Function for Multitype Point Pattern on Linear Network
pcf.fasp

Pair Correlation Function obtained from array of K functions
im.apply

Apply Function Pixelwise to List of Images
Extract.linnet

Extract Subset of Linear Network
as.box3

Convert Data to Three-Dimensional Box
crossing.psp

Crossing Points of Two Line Segment Patterns
compatible.im

Test Whether Pixel Images Are Compatible
gridweights

Compute Quadrature Weights Based on Grid Counts
matclust.estK

Fit the Matern Cluster Point Process by Minimum Contrast
idw

Inverse-distance weighted smoothing of observations at irregular points
interp.colourmap

Interpolate smoothly between specified colours
pcf.ppp

Pair Correlation Function of Point Pattern
is.marked

Test Whether Marks Are Present
linearKcross

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

Linear Pair Correlation Function
colourmap

Colour Lookup Tables
fv.object

Function Value Table
plot.listof

Plot a List of Things
concatxy

Concatenate x,y Coordinate Vectors
objsurf

Objective Function Surface
istat

Point and Click Interface for Exploratory Analysis of Point Pattern
methods.rho2hat

Methods for Intensity Functions of Two Spatial Covariates
gridcentres

Rectangular grid of points
linearpcfdot

Multitype Pair Correlation Function (Dot-type) for Linear Point Pattern
hybrid.family

Hybrid Interaction Family
nearestsegment

Find Line Segment Nearest to Each Point
pcfinhom

Inhomogeneous Pair Correlation Function
paracou

Kimboto trees at Paracou, French Guiana
letterR

Window in Shape of Letter R
distfun

Distance Map as a Function
linearpcfcross.inhom

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

Scots pines and other trees at Hyytiala
is.stationary

Recognise Stationary and Poisson Point Process Models
nbfires

Point Patterns of New Brunswick Forest Fires
linfun

Function on a Linear Network
intersect.owin

Intersection, Union or Set Subtraction of Two Windows
Extract.psp

Extract Subset of Line Segment Pattern
latest.news

Print News About Latest Version of Package
dclf.progress

Progress Plot of Test of Spatial Pattern
fitted.mppm

Fitted Conditional Intensity for Multiple Point Process Model
Tstat

Third order summary statistic
eroded.areas

Areas of Morphological Erosions
fvnames

Abbreviations for Groups of Columns in Function Value Table
crossdist.pp3

Pairwise distances between two different three-dimensional point patterns
linearKdot

Multitype K Function (Dot-type) for Linear Point Pattern
predict.kppm

Prediction from a Fitted Cluster Point Process Model
methods.lpp

Methods for Point Patterns on a Linear Network
incircle

Find Largest Circle Inside Window
im

Create a Pixel Image Object
lurking

Lurking variable plot
pairdist.psp

Pairwise distances between line segments
identify.psp

Identify Segments in a Line Segment Pattern
nncross

Nearest Neighbours Between Two Patterns
predict.mppm

Prediction for Fitted Multiple Point Process Model
rmhstart

Determine Initial State for Metropolis-Hastings Simulation.
nndist.lpp

Nearest neighbour distances on a linear network
npoints

Number of Points in a Point Pattern
intensity.quadratcount

Intensity Estimates Using Quadrat Counts
quadrat.test

Dispersion Test for Spatial Point Pattern Based on Quadrat Counts
rGaussPoisson

Simulate Gauss-Poisson Process
linearpcfdot.inhom

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

Partial Residuals for Point Process Model
npfun

Dummy Function Returns Number of Points
dummy.ppm

Extract Dummy Points Used to Fit a Point Process Model
reach

Interaction Distance of a Point Process
localpcf

Local pair correlation function
boxx

Multi-Dimensional Box
gordon

People in Gordon Square
rHardcore

Perfect Simulation of the Hardcore Process
print.ppm

Print a Fitted Point Process Model
clip.infline

Intersect Infinite Straight Lines with a Window
plot.pp3

Plot a three-dimensional point pattern
pixelquad

Quadrature Scheme Based on Pixel Grid
midpoints.psp

Midpoints of Line Segment Pattern
areaLoss

Difference of Disc Areas
plot.scan.test

Plot Result of Scan Test
pool.envelope

Pool Data from Several Envelopes
closing

Morphological Closing
compareFit

Residual Diagnostics for Multiple Fitted Models
lpp

Create Point Pattern on Linear Network
methods.objsurf

Methods for Objective Function Surfaces
leverage.ppm

Leverage Measure for Spatial Point Process Model
pcfdot.inhom

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

Convert dataset to another unit of length
methods.layered

Methods for Layered Objects
eem

Exponential Energy Marks
plot.bermantest

Plot Result of Berman Test
pixellate.owin

Convert Window to Pixel Image
as.im

Convert to Pixel Image
pairs.im

Scatterplot Matrix for Pixel Images
model.depends

Identify Covariates Involved in each Model Term
methods.units

Methods for Units
markconnect

Mark Connection Function
marktable

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

Marked pair correlation function
plot.leverage.ppm

Plot Leverage Function
formula.ppm

Model Formulae for Gibbs Point Process Models
nnmark

Mark of Nearest Neighbour
plot.quadrattest

Display the result of a quadrat counting test.
layout.boxes

Generate a Row or Column Arrangement of Rectangles.
bw.stoyan

Stoyan's Rule of Thumb for Bandwidth Selection
edges2vees

List Dihedral Triples in a Graph
imcov

Spatial Covariance of a Pixel Image
intensity

Intensity of a Dataset or a Model
ppp

Create a Point Pattern
kstest.ppm

Kolmogorov-Smirnov Test for Point Pattern or Point Process Model
plot.im

Plot a Pixel Image
murchison

Murchison gold deposits
lansing

Lansing Woods Point Pattern
is.owin

Test Whether An Object Is A Window
predict.ppm

Prediction from a Fitted Point Process Model
owin

Create a Window
project.ppm

Force Point Process Model to be Valid
nncross.pp3

Nearest Neighbours Between Two Patterns in 3D
persp.im

Perspective Plot of Pixel Image
miplot

Morishita Index Plot
pairdist.default

Pairwise distances
nndist.ppx

Nearest Neighbour Distances in Any Dimensions
quadrats

Divide Region into Quadrats
edge.Ripley

Ripley's Isotropic Edge Correction
pppdist

Distance Between Two Point Patterns
markvario

Mark Variogram
discpartarea

Area of Part of Disc
qqplot.ppm

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

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

Neighbourhood density function
rpoisppx

Generate Poisson Point Pattern in Any Dimensions
osteo

Osteocyte Lacunae Data: Replicated Three-Dimensional Point Patterns
quadscheme

Generate a Quadrature Scheme from a Point Pattern
influence.ppm

Influence Measure for Spatial Point Process Model
residualspaper

Data and Code From JRSS Discussion Paper on Residuals
demopat

Artificial Data Point Pattern
spokes

Spokes pattern of dummy points
plot.plotppm

Plot a plotppm Object Created by plot.ppm
mincontrast

Method of Minimum Contrast
linearK

Linear K Function
shift.ppp

Apply Vector Translation To Point Pattern
stieltjes

Compute Integral of Function Against Cumulative Distribution
marks.psp

Marks of a Line Segment Pattern
print.psp

Print Brief Details of a Line Segment Pattern Dataset
rotate.owin

Rotate a Window
intersect.tess

Intersection of Two Tessellations
quad.object

Class of Quadrature Schemes
ppm.object

Class of Fitted Point Process Models
matchingdist

Distance for a Point Pattern Matching
fitted.slrm

Fitted Probabilities for Spatial Logistic Regression
rshift.splitppp

Randomly Shift a List of Point Patterns
redwoodfull

California Redwoods Point Pattern (Entire Dataset)
rpoislpp

Poisson Point Process on a Linear Network
longleaf

Longleaf Pines Point Pattern
kstest.mppm

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

Plot a Colour Map
rVarGamma

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

Pairwise distances
sharpen

Data Sharpening of Point Pattern
spatstat-internal

Internal spatstat functions
methods.ppx

Methods for Multidimensional Space-Time Point Patterns
trim.rectangle

Cut margins from rectangle
tiles

Extract List of Tiles in a Tessellation
copper

Berman-Huntington points and lines data
localKinhom

Inhomogeneous Neighbourhood Density Function
lgcp.estK

Fit a Log-Gaussian Cox Point Process by Minimum Contrast
summary.quad

Summarizing a Quadrature Scheme
linnet

Create a Linear Network
bdist.tiles

Distance to Boundary of Window
pairwise.family

Pairwise Interaction Process Family
methods.box3

Methods for Three-Dimensional Box
rescale.ppp

Convert Point Pattern to Another Unit of Length
rshift.ppp

Randomly Shift a Point Pattern
linearKcross.inhom

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

Methods for Spatial Logistic Regression Models
deriv.fv

Calculate Derivative of Function Values
affine.owin

Apply Affine Transformation To Window
rlinegrid

Generate grid of parallel lines with random displacement
reload.or.compute

Compute Unless Previously Saved
quadrat.test.mppm

Chi-Squared Test for Multiple Point Process Model Based on Quadrat Counts
nndensity.ppp

Estimate Intensity of Point Pattern Using Nearest Neighbour Distances
sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window
multiplicity.ppp

Count Multiplicity of Duplicate Points
simulate.kppm

Simulate a Fitted Cluster Point Process Model
nndist.psp

Nearest neighbour distances between line segments
overlap.owin

Compute Area of Overlap
pppmatching

Create a Point Matching
nndist.pp3

Nearest neighbour distances in three dimensions
rmh.default

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

Simulate Baddeley-Silverman Cell Process
pool

Pool Data
opening

Morphological Opening
quantile.ewcdf

Quantiles of Weighted Empirical Cumulative Distribution Function
rescale.psp

Convert Line Segment Pattern to Another Unit of Length
stratrand

Stratified random point pattern
nnmap

K-th Nearest Point Map
rpoisline

Generate Poisson Random Line Process
pcf3est

Pair Correlation Function of a Three-Dimensional Point Pattern
rescale.owin

Convert Window to Another Unit of Length
plot.kstest

Plot a Spatial Kolmogorov-Smirnov Test
tweak.colourmap

Change Colour Values in a Colour Map
nnfun

Nearest Neighbour Index Map as a Function
markstat

Summarise Marks in Every Neighbourhood in a Point Pattern
simplify.owin

Approximate a Polygon by a Simpler Polygon
mean.im

Maximum, Minimum, Mean, Median, Range or Sum of Pixel Values in an Image
quadrat.test.splitppp

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

plot a Fitted Point Process Model
tile.areas

Compute Areas of Tiles in a Tessellation
connected.ppp

Connected components of a point pattern
plot.psp

plot a Spatial Line Segment Pattern
rCauchy

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

Build Point Process Model for Metropolis-Hastings Simulation.
summary.listof

Summary of a List of Things
matclust.estpcf

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

Pseudoscore Diagnostic For Fitted Model against Area-Interaction Alternative
square

Square Window
progressreport

Print Progress Reports
superimpose

Superimpose Several Geometric Patterns
summary.im

Summarizing a Pixel Image
shift.owin

Apply Vector Translation To Window
convexhull

Convex Hull
residuals.mppm

Residuals for Point Process Model Fitted to Multiple Point Patterns
simulate.slrm

Simulate a Fitted Spatial Logistic Regression Model
summary.splitppp

Summary of a Split Point Pattern
rotate.im

Rotate a Pixel Image
summary.owin

Summary of a Spatial Window
rlabel

Random Re-Labelling of Point Pattern
rshift.psp

Randomly Shift a Line Segment Pattern
rmhmodel

Define Point Process Model for Metropolis-Hastings Simulation.
vcov.kppm

Variance-Covariance Matrix for a Fitted Cluster Point Process Model
redwood

California Redwoods Point Pattern (Ripley's Subset)
as.linim

Convert to Pixel Image on Linear Network
nncross.lpp

Nearest Neighbours on a Linear Network
rMosaicField

Mosaic Random Field
rmh

Simulate point patterns using the Metropolis-Hastings algorithm.
varblock

Estimate Variance of Summary Statistic by Subdivision
pairdist.pp3

Pairwise distances in Three Dimensions
pppmatching.object

Class of Point Matchings
plot.influence.ppm

Plot Influence Measure
rshift

Random Shift
rMatClust

Simulate Matern Cluster Process
rmhexpand

Specify Simulation Window or Expansion Rule
scanLRTS

Likelihood Ratio Test Statistic for Scan Test
plot.linnet

Plot a linear network
rMosaicSet

Mosaic Random Set
pairdist.ppx

Pairwise Distances in Any Dimensions
rMaternII

Simulate Matern Model II
update.ppm

Update a Fitted Point Process Model
shift.im

Apply Vector Translation To Pixel Image
predict.slrm

Predicted or Fitted Values from Spatial Logistic Regression
waka

Trees in Waka national park
ponderosa

Ponderosa Pine Tree Point Pattern
rThomas

Simulate Thomas Process
commonGrid

Determine A Common Spatial Domain And Pixel Resolution
profilepl

Profile Maximum Pseudolikelihood
round.ppp

Apply Numerical Rounding to Spatial Coordinates
rotate

Rotate
lut

Lookup Tables
runifdisc

Generate N Uniform Random Points in a Disc
union.quad

Union of Data and Dummy Points
plot.quad

Plot a Spatial Quadrature Scheme
simdat

Simulated Point Pattern
rStrauss

Perfect Simulation of the Strauss Process
pool.rat

Pool Data from Several Ratio Objects
rat

Ratio object
scanpp

Read Point Pattern From Data File
sessionLibs

Print Names and Version Numbers of Libraries Loaded
pixellate.psp

Convert Line Segment Pattern to Pixel Image
summary.ppm

Summarizing a Fitted Point Process Model
unmark

Remove Marks
quad.ppm

Extract Quadrature Scheme Used to Fit a Point Process Model
quadratresample

Resample a Point Pattern by Resampling Quadrats
pool.fasp

Pool Data from Several Function Arrays
psst

Pseudoscore Diagnostic For Fitted Model against General Alternative
print.quad

Print a Quadrature Scheme
rhohat

Smoothing Estimate of Covariate Transformation
psp

Create a Line Segment Pattern
rgbim

Create Colour-Valued Pixel Image
update.rmhcontrol

Update Control Parameters of Metropolis-Hastings Algorithm
rounding

Detect Numerical Rounding
simplenet

Simple Example of Linear Network
quadratcount

Quadrat counting for a point pattern
urkiola

Urkiola Woods Point Pattern
plot.fasp

Plot a Function Array
simplepanel

Simple Point-and-Click Interface Panels
mppm

Fit Point Process Model to Several Point Patterns
msr

Signed or Vector-Valued Measure
will.expand

Test Expansion Rule
plot.ppp

plot a Spatial Point Pattern
slrm

Spatial Logistic Regression
timed

Record the Computation Time
runiflpp

Uniform Random Points on a Linear Network
rknn

Theoretical Distribution of Nearest Neighbour Distance
sumouter

Compute Quadratic Forms
cells

Biological Cells Point Pattern
rpoisppOnLines

Generate Poisson Point Pattern on Line Segments
pcf

Pair Correlation Function
nearest.raster.point

Find Pixel Nearest to a Given Point
is.marked.ppp

Test Whether A Point Pattern is Marked
rmhmodel.ppm

Interpret Fitted Model for Metropolis-Hastings Simulation.
unitname

Name for Unit of Length
print.ppp

Print Brief Details of a Point Pattern Dataset
runifpointx

Generate N Uniform Random Points in Any Dimensions
quantile.im

Sample Quantiles of Pixel Image
ppp.object

Class of Point Patterns
rDiggleGratton

Perfect Simulation of the Diggle-Gratton Process
runifpoint3

Generate N Uniform Random Points in Three Dimensions
nnwhich.pp3

Nearest neighbours in three dimensions
rescale.im

Convert Pixel Image to Another Unit of Length
reduced.sample

Reduced Sample Estimator using Histogram Data
pairdist.lpp

Pairwise shortest-path distances between points on a linear network
vargamma.estpcf

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

Fit the Thomas Point Process by Minimum Contrast
whist

Weighted Histogram
linearpcfcross

Multitype Pair Correlation Function (Cross-type) for Linear Point Pattern
rho2hat

Smoothed Relative Density of Pairs of Covariate Values
print.owin

Print Brief Details of a Spatial Window
with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe
spatstat-package

The Spatstat Package
plot.msr

Plot a Signed or Vector-Valued Measure
diameter.box3

Geometrical Calculations for Three-Dimensional Box
ppm

Fit Point Process Model to Data
setcov

Set Covariance of a Window
rstrat

Simulate Stratified Random Point Pattern
rmpoint

Generate N Random Multitype Points
plot.quadratcount

Plot Quadrat Counts
beginner

Print Introduction For Beginners
scalardilate

Apply Scalar Dilation
rSSI

Simulate Simple Sequential Inhibition
rLGCP

Simulate Log-Gaussian Cox Process
rpoispp

Generate Poisson Point Pattern
rPoissonCluster

Simulate Poisson Cluster Process
plot.lppm

Plot a Fitted Point Process Model on a Linear Network
psp.object

Class of Line Segment Patterns
run.simplepanel

Run Point-and-Click Interface
update.kppm

Update a Fitted Cluster Point Process Model
model.images

Compute Images of Constructed Covariates
simulate.ppm

Simulate a Fitted Gibbs Point Process Model
rotate.psp

Rotate a Line Segment Pattern
summary.psp

Summary of a Line Segment Pattern Dataset
relrisk

Nonparametric Estimate of Spatially-Varying Relative Risk
rStraussHard

Perfect Simulation of the Strauss-Hardcore Process
volume

Volume of an Object
print.im

Print Brief Details of an Image
methods.boxx

Methods for Multi-Dimensional Box
shift

Apply Vector Translation
rNeymanScott

Simulate Neyman-Scott Process
rpoispp3

Generate Poisson Point Pattern in Three Dimensions
K3est

K-function of a Three-Dimensional Point Pattern
subfits

Extract List of Individual Point Process Models
pointsOnLines

Place Points Evenly Along Specified Lines
plot.splitppp

Plot a List of Point Patterns
rmhmodel.list

Define Point Process Model for Metropolis-Hastings Simulation.
Jmulti

Marked J Function
unnormdensity

Weighted kernel smoother
rcellnumber

Generate Random Numbers of Points for Cell Process
vertices

Vertices of a Window
waterstriders

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

Generate N Uniform Random Points
plot.slrm

Plot a Fitted Spatial Logistic Regression
swedishpines

Swedish Pines Point Pattern
triplet.family

Triplet Interaction Family
thomas.estK

Fit the Thomas Point Process by Minimum Contrast
rpoislinetess

Poisson Line Tessellation
valid.ppm

Check Whether Point Process Model is Valid
vcov.mppm

Calculate Variance-Covariance Matrix for Fitted Multiple Point Process Model
pairdist.ppp

Pairwise distances
unique.ppp

Extract Unique Points from a Spatial Point Pattern
plot.owin

Plot a Spatial Window
plot.tess

Plot a tessellation
rMaternI

Simulate Matern Model I
pcf.fv

Pair Correlation Function obtained from K Function
project2segment

Move Point To Nearest Line
raster.x

Cartesian Coordinates for a Pixel Raster
plot.mppm

plot a Fitted Multiple Point Process Model
psstG

Pseudoscore Diagnostic For Fitted Model against Saturation Alternative
rjitter

Random Perturbation of a Point Pattern
tess

Create a Tessellation
tilenames

Names of Tiles in a Tessellation
plot.hyperframe

Plot Entries in a Hyperframe
rmh.ppm

Simulate from a Fitted Point Process Model
quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern
rmpoispp

Generate Multitype Poisson Point Pattern
plot.kppm

Plot a fitted cluster point process
shapley

Galaxies in the Shapley Supercluster
spatstat-deprecated

Deprecated spatstat functions
pcfcross

Multitype pair correlation function (cross-type)
spatstat.options

Internal Options in Spatstat Package
rmhcontrol

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

Rounding of Pixel Values
rsyst

Simulate systematic random point pattern
scaletointerval

Rescale Data to Lie Between Specified Limits
periodify

Make Periodic Copies of a Spatial Pattern
Extract.fv

Extract Subset of Function Values
PairPiece

The Piecewise Constant Pairwise Interaction Point Process Model
DiggleGatesStibbard

Diggle-Gates-Stibbard Point Process Model
SatPiece

Piecewise Constant Saturated Pairwise Interaction Point Process Model
Lest

L-function
as.fv

Convert Data To Class fv
Kdot

Multitype K Function (i-to-any)
bind.fv

Combine Function Value Tables
compatible.fv

Test Whether Function Objects Are Compatible
interp.im

Interpolate a Pixel Image
deltametric

Delta Metric
default.dummy

Generate a Default Pattern of Dummy Points
envelope

Simulation Envelopes of Summary Function
ippm

Optimise Irregular Trend Parameters in Point Process Model
iplot

Point and Click Interface for Displaying Spatial Data
lppm

Fit Point Process Model to Point Pattern on Linear Network
model.matrix.ppm

Extract Design Matrix from Point Process Model
markcorrint

Mark Correlation Integral
owin.object

Class owin
humberside

Humberside Data on Childhood Leukaemia and Lymphoma
spruces

Spruces Point Pattern
split.im

Divide Image Into Sub-images
shift.psp

Apply Vector Translation To Line Segment Pattern
transect.im

Pixel Values Along a Transect
residuals.ppm

Residuals for Fitted Point Process Model
with.fv

Evaluate an Expression in a Function Table
pcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-Type)
pyramidal

Pyramidal Neurons in Cingulate Cortex
pp3

Three Dimensional Point Pattern
Gest

Nearest Neighbour Distance Function G
Kmulti

Marked K-Function
beachcolours

Create Colour Scheme for a Range of Numbers
as.data.frame.ppp

Coerce Point Pattern to a Data Frame
cut.ppp

Classify Points in a Point Pattern
clarkevans.test

Clark and Evans Test
diameter.boxx

Geometrical Calculations for Multi-Dimensional Box
hist.im

Histogram of Pixel Values in an Image
Extract.ppx

Extract Subset of Multidimensional Point Pattern
methods.linnet

Methods for Linear Networks
marks

Marks of a Point Pattern
logLik.slrm

Loglikelihood of Spatial Logistic Regression
nnwhich.lpp

Identify Nearest Neighbours on a Linear Network
nndist

Nearest neighbour distances
plot.linim

Plot Pixel Image on Linear Network
plot.fv

Plot Function Values
rotate.ppp

Rotate a Point Pattern
plot.layered

Layered Plot
rthin

Random Thinning
summary.ppp

Summary of a Point Pattern Dataset
split.ppx

Divide Multidimensional Point Pattern into Sub-patterns
rDGS

Perfect Simulation of the Diggle-Gates-Stibbard Process
nncorr

Nearest-Neighbour Correlation Indices of Marked Point Pattern
solutionset

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

Variance-Covariance Matrix for a Fitted Point Process Model
Replace.im

Reset Values in Subset of Image
Ldot.inhom

Inhomogeneous Multitype L Dot Function
Kcross.inhom

Inhomogeneous Cross K Function
Smooth.fv

Apply Smoothing to Function Values
cauchy.estK

Fit the Neyman-Scott cluster process with Cauchy kernel
coef.ppm

Coefficients of Fitted Point Process Model
convexhull.xy

Convex Hull of Points
hyperframe

Hyper Data Frame
intensity.lpp

Empirical Intensity of Point Pattern on Linear Network
eval.linim

Evaluate Expression Involving Pixel Images on Linear Network
km.rs

Kaplan-Meier and Reduced Sample Estimator using Histograms
ewcdf

Weighted Empirical Cumulative Distribution Function
nnwhich

Nearest neighbour
lengths.psp

Lengths of Line Segments
perimeter

Perimeter Length of Window
nnclean

Nearest Neighbour Clutter Removal
methods.lppm

Methods for Fitted Point Process Models on a Linear Network
mucosa

Cells in Gastric Mucosa
linearmarkconnect

Mark Connection Function for Multitype Point Pattern on Linear Network
pool.quadrattest

Pool Several Quadrat Tests
simba

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

Variance-Covariance Matrix for a Fitted Spatial Logistic Regression
suffstat

Sufficient Statistic of Point Process Model
density.splitppp

Kernel Smoothed Intensity of Split Point Pattern
Finhom

Inhomogeneous Empty Space Function
angles.psp

Orientation Angles of Line Segments
as.ppm

Extract Fitted Point Process Model
affine.tess

Apply Geometrical Transformation To Tessellation
crossdist.psp

Pairwise distances between two different line segment patterns
Fest

Estimate the empty space function F
collapse.fv

Collapse Several Function Tables into One
dummify

Convert Data to Numeric Values by Constructing Dummy Variables
contour.im

Contour plot of pixel image
intensity.ppp

Empirical Intensity of Point Pattern
eval.fasp

Evaluate Expression Involving Function Arrays
harmonise.im

Make Pixel Images Compatible
layerplotargs

Extract or Replace the Plot Arguments of a Layered Object
is.subset.owin

Determine Whether One Window is Contained In Another
nnfun.lpp

Nearest Neighbour Map on Linear Network
linearKinhom

Inhomogeneous Linear K Function
reflect

Reflect In Origin
selfcrossing.psp

Crossing Points in a Line Segment Pattern
ripras

Estimate window from points alone
Gres

Residual G Function
rpoint

Generate N Random Points
scan.test

Spatial Scan Test
affine.linnet

Apply Geometrical Transformations to a Linear Network
rescue.rectangle

Convert Window Back To Rectangle
split.ppp

Divide Point Pattern into Sub-patterns
vargamma.estK

Fit the Neyman-Scott Cluster Point Process with Variance Gamma kernel
runifpointOnLines

Generate N Uniform Random Points On Line Segments