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spatstat (version 1.39-0)

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 about 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, 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

16,015

Version

1.39-0

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

October 23rd, 2014

Functions in spatstat (1.39-0)

Jcross

Multitype J Function (i-to-j)
F3est

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

Extract or Replace Subset of Function Values
append.psp

Combine Two Line Segment Patterns
Extract.ppp

Extract or Replace Subset of Point Pattern
Extract.quad

Subset of Quadrature Scheme
Extract.msr

Extract Subset of Signed or Vector Measure
Ginhom

Inhomogeneous Nearest Neighbour Function
Concom

The Connected Component Process Model
dilation

Morphological Dilation
BadGey

Hybrid Geyer Point Process Model
LambertW

Lambert's W Function
compatible.im

Test Whether Pixel Images Are Compatible
allstats

Calculate four standard summary functions of a point pattern.
Gcross

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

Generic Ord Interaction model
Extract.linnet

Extract Subset of Linear Network
coef.ppm

Coefficients of Fitted Point Process Model
affine.tess

Apply Geometrical Transformation To Tessellation
Gest

Nearest Neighbour Distance Function G
envelope.lpp

Envelope for Point Patterns on Linear Network
affine.psp

Apply Affine Transformation To Line Segment Pattern
Extract.leverage.ppm

Extract Subset of Leverage Object
eval.im

Evaluate Expression Involving Pixel Images
Extract.owin

Extract Subset of Window
clarkevans.test

Clark and Evans Test
edges2triangles

List Triangles in a Graph
Strauss

The Strauss Point Process Model
colourmap

Colour Lookup Tables
Geyer

Geyer's Saturation Point Process Model
concatxy

Concatenate x,y Coordinate Vectors
anova.mppm

ANOVA for Fitted Multiple Point Process Models
as.function.fv

Convert Function Value Table to Function
cut.ppp

Classify Points in a Point Pattern
Extract.hyperframe

Extract or Replace Subset of Hyperframe
bronzefilter

Bronze gradient filter data
identify.psp

Identify Segments in a Line Segment Pattern
Linhom

L-function
Ldot.inhom

Inhomogeneous Multitype L Dot Function
eval.fasp

Evaluate Expression Involving Function Arrays
Ldot

Multitype L-function (i-to-any)
edge.Trans

Translation Edge Correction
Kmodel

K Function or Pair Correlation Function of a Point Process Model
affine.ppp

Apply Affine Transformation To Point Pattern
Tstat

Third order summary statistic
Fest

Estimate the Empty Space Function or its Hazard Rate
bei

Tropical rain forest trees
fv.object

Function Value Table
areaLoss

Difference of Disc Areas
OrdThresh

Ord's Interaction model
intersect.tess

Intersection of Two Tessellations
coef.slrm

Coefficients of Fitted Spatial Logistic Regression Model
effectfun

Compute Fitted Effect of a Spatial Covariate in a Point Process Model
as.data.frame.ppp

Coerce Point Pattern to a Data Frame
dmixpois

Mixed Poisson Distribution
Hybrid

Hybrid Interaction Point Process Model
as.mask.psp

Convert Line Segment Pattern to Binary Pixel Mask
affine.linnet

Apply Geometrical Transformations to a Linear Network
K3est

K-function of a Three-Dimensional Point Pattern
hist.im

Histogram of Pixel Values in an Image
anova.slrm

Analysis of Deviance for Spatial Logistic Regression Models
bdist.tiles

Distance to Boundary of Window
dilated.areas

Areas of Morphological Dilations
beginner

Print Introduction For Beginners
affine

Apply Affine Transformation
dummify

Convert Data to Numeric Values by Constructing Dummy Variables
anemones

Beadlet Anemones Data
box3

Three-Dimensional Box
applynbd

Apply Function to Every Neighbourhood in a Point Pattern
Extract.splitppp

Extract or Replace Sub-Patterns
Extract.layered

Extract Subset of a Layered Object
Hardcore

The Hard Core Point Process Model
berman.test

Berman's Tests for Point Process Model
Kcross.inhom

Inhomogeneous Cross K Function
DiggleGatesStibbard

Diggle-Gates-Stibbard Point Process Model
hopskel

Hopkins-Skellam Test
Gdot

Multitype Nearest Neighbour Distance Function (i-to-any)
affine.lpp

Apply Geometrical Transformations to Point Pattern on a Linear Network
Extract.solist

Extract or Replace Subset of a List of Spatial Objest
density.ppp

Kernel Smoothed Intensity of Point Pattern
dirichlet.weights

Compute Quadrature Weights Based on Dirichlet Tessellation
im.object

Class of Images
fryplot

Fry Plot of Point Pattern
closepairs

Close Pairs of Points
fv

Create a Function Value Table
dirichlet

Dirichlet Tessellation of Point Pattern
Lcross

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

Extract Subset of Image
clusterset

Allard-Fraley Estimator of Cluster Feature
bounding.box.xy

Convex Hull of Points
clip.infline

Intersect Infinite Straight Lines with a Window
Smooth.msr

Smooth a Signed or Vector-Valued Measure
bdist.points

Distance to Boundary of Window
ewcdf

Weighted Empirical Cumulative Distribution Function
dirichlet.vertices

Vertices of Dirichlet Tessellation
AreaInter

The Area Interaction Point Process Model
Smooth.fv

Apply Smoothing to Function Values
Kest

K-function
as.polygonal

Convert a Window to a Polygonal Window
cdf.test

Spatial Distribution Test for Point Pattern or Point Process Model
by.ppp

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

Difference of Disc Areas
exactMPLEstrauss

Exact Maximum Pseudolikelihood Estimate for Stationary Strauss Process
bw.ppl

Likelihood Cross Validation Bandwidth Selection for Kernel Density
im

Create a Pixel Image Object
ants

Harkness-Isham ants' nests data
gridweights

Compute Quadrature Weights Based on Grid Counts
bw.smoothppp

Cross Validated Bandwidth Selection for Spatial Smoothing
harmonic

Basis for Harmonic Functions
as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern
clickpoly

Interactively Define a Polygon
as.mask

Pixel Image Approximation of a Window
bw.frac

Bandwidth Selection Based on Window Geometry
crossdist.default

Pairwise distances between two different sets of points
cut.im

Convert Pixel Image from Numeric to Factor
DiggleGratton

Diggle-Gratton model
Jmulti

Marked J Function
integral.msr

Integral of a Measure
crossdist.pp3

Pairwise distances between two different three-dimensional point patterns
Saturated

Saturated Pairwise Interaction model
funxy

Spatial Function Class
dummy.ppm

Extract Dummy Points Used to Fit a Point Process Model
linearmarkequal

Mark Connection Function for Multitype Point Pattern on Linear Network
dfbetas.ppm

Parameter influence measure
Lcross.inhom

Inhomogeneous Cross Type L Function
duplicated.ppp

Determine Duplicated Points in a Spatial Point Pattern
gridcentres

Rectangular grid of points
crossdist.psp

Pairwise distances between two different line segment patterns
as.owin

Convert Data To Class owin
fvnames

Abbreviations for Groups of Columns in Function Value Table
boxx

Multi-Dimensional Box
envelope.envelope

Recompute Envelopes
clmfires

Castilla-La Mancha Forest Fires
diameter.linnet

Circumradius and Diameter of a Linear Network
kaplan.meier

Kaplan-Meier Estimator using Histogram Data
anova.ppm

ANOVA for Fitted Point Process Models
closing

Morphological Closing
edge.Ripley

Ripley's Isotropic Edge Correction
affine.owin

Apply Affine Transformation To Window
corners

Corners of a rectangle
as.interact

Extract Interaction Structure
deriv.fv

Calculate Derivative of Function Values
bdist.pixels

Distance to Boundary of Window
linearpcfcross

Multitype Pair Correlation Function (Cross-type) for Linear Point Pattern
influence.ppm

Influence Measure for Spatial Point Process Model
diameter.owin

Diameter of a Window
fardist

Farthest Distance to Boundary of Window
hamster

Aherne's hamster tumour data
add.texture

Fill Plot With Texture
area.owin

Area of a Window
inforder.family

Infinite Order Interaction Family
cauchy.estpcf

Fit the Neyman-Scott cluster process with Cauchy kernel
dclf.progress

Progress Plot of Test of Spatial Pattern
WindowOnly

Extract Window of Spatial Object
collapse.fv

Collapse Several Function Tables into One
as.fv

Convert Data To Class fv
LennardJones

The Lennard-Jones Potential
as.matrix.owin

Convert Pixel Image to Matrix
as.data.frame.hyperframe

Coerce Hyperframe to Data Frame
integral.im

Integral of a Pixel Image
as.box3

Convert Data to Three-Dimensional Box
interp.colourmap

Interpolate smoothly between specified colours
as.layered

Convert Data To Layered Object
Softcore

The Soft Core Point Process Model
blur

Apply Gaussian Blur to a Pixel Image
Kcom

Model Compensator of K Function
erosion

Morphological Erosion
as.ppp

Convert Data To Class ppp
hyperframe

Hyper Data Frame
border

Border Region of a Window
convexhull.xy

Convex Hull of Points
distcdf

Distribution Function of Interpoint Distance
Kres

Residual K Function
formula.ppm

Model Formulae for Gibbs Point Process Models
interp.im

Interpolate a Pixel Image
colourtools

Convert and Compare Colours in Different Formats
bramblecanes

Hutchings' Bramble Canes data
is.owin

Test Whether An Object Is A Window
is.rectangle

Determine Type of Window
Window

Extract or Change the Window of a Spatial Object
distmap.psp

Distance Map of Line Segment Pattern
coords

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
harmonise

Make Objects Compatible
commonGrid

Determine A Common Spatial Domain And Pixel Resolution
lgcp.estpcf

Fit a Log-Gaussian Cox Point Process by Minimum Contrast
grow.rectangle

Add margins to rectangle
Kest.fft

K-function using FFT
delaunay

Delaunay Triangulation of Point Pattern
domain

Extract the Domain of any Spatial Object
density.splitppp

Kernel Smoothed Intensity of Split Point Pattern
is.multitype.ppm

Test Whether A Point Process Model is Multitype
clickbox

Interactively Define a Rectangle
discs

Union of Discs
markstat

Summarise Marks in Every Neighbourhood in a Point Pattern
Kmeasure

Reduced Second Moment Measure
methods.rho2hat

Methods for Intensity Functions of Two Spatial Covariates
as.hyperframe

Convert Data to Hyperframe
linearKcross

Multitype K Function (Cross-type) for Linear Point Pattern
intensity.lpp

Empirical Intensity of Point Pattern on Linear Network
imcov

Spatial Covariance of a Pixel Image
demopat

Artificial Data Point Pattern
lpp

Create Point Pattern on Linear Network
nnfun

Nearest Neighbour Index Map as a Function
fitted.slrm

Fitted Probabilities for Spatial Logistic Regression
crossdist.lpp

Pairwise distances between two point patterns on a linear network
distmap

Distance Map
crossdist.ppx

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns
invoke.symbolmap

Plot Data Using Graphics Symbol Map
diameter.box3

Geometrical Calculations for Three-Dimensional Box
compatible.fv

Test Whether Function Objects Are Compatible
copper

Berman-Huntington points and lines data
linearmarkconnect

Mark Connection Function for Multitype Point Pattern on Linear Network
is.marked.ppp

Test Whether A Point Pattern is Marked
increment.fv

Increments of a Function
as.ppm

Extract Fitted Point Process Model
linearpcfdot.inhom

Inhomogeneous Multitype Pair Correlation Function (Dot-type) for Linear Point Pattern
methods.boxx

Methods for Multi-Dimensional Box
clickppp

Interactively Add Points
is.ppm

Test Whether An Object Is A Fitted Point Process Model
density.psp

Kernel Smoothing of Line Segment Pattern
msr

Signed or Vector-Valued Measure
linearpcfdot

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

Nearest neighbour distances
pixellate.ppp

Convert Point Pattern to Pixel Image
bw.diggle

Cross Validated Bandwidth Selection for Kernel Density
moribund

Outdated Functions
Fiksel

The Fiksel Interaction
intensity.ppm

Intensity of Fitted Point Process Model
SatPiece

Piecewise Constant Saturated Pairwise Interaction Point Process Model
chicago

Chicago Street Crime Data
linearKdot.inhom

Inhomogeneous multitype K Function (Dot-type) for Linear Point Pattern
cauchy.estK

Fit the Neyman-Scott cluster process with Cauchy kernel
miplot

Morisita Index Plot
nnclean

Nearest Neighbour Clutter Removal
distfun.lpp

Distance Map on Linear Network
lohboot

Bootstrap Confidence Bands for Summary Function
as.im

Convert to Pixel Image
formula.fv

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

Extract or Change the Containing Rectangle of a Spatial Object
as.data.frame.im

Convert Pixel Image to Data Frame
methods.rhohat

Methods for Intensity Functions of Spatial Covariate
is.convex

Test Whether a Window is Convex
nearest.raster.point

Find Pixel Nearest to a Given Point
coef.mppm

Coefficients of Point Process Model Fitted to Multiple Point Patterns
km.rs

Kaplan-Meier and Reduced Sample Estimator using Histograms
pcfdot.inhom

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

Distance for a Point Pattern Matching
as.tess

Convert Data To Tessellation
as.rectangle

Window Frame
Kmodel.kppm

K Function or Pair Correlation Function of Cluster Model or Cox model
lgcp.estK

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

Estimate Intensity of Point Pattern Using Nearest Neighbour Distances
angles.psp

Orientation Angles of Line Segments
lurking

Lurking variable plot
methods.funxy

Methods for Spatial Functions
centroid.owin

Centroid of a window
model.matrix.ppm

Extract Design Matrix from Point Process Model
delaunay.distance

Distance on Delaunay Triangulation
edges

Extract Boundary Edges of a Window.
as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame
layerplotargs

Extract or Replace the Plot Arguments of a Layered Object
im.apply

Apply Function Pixelwise to List of Images
flipxy

Exchange X and Y Coordinates
nncorr

Nearest-Neighbour Correlation Indices of Marked Point Pattern
linearK

Linear K Function
letterR

Window in Shape of Letter R
Kinhom

Inhomogeneous K-function
markcorrint

Mark Correlation Integral
cdf.test.mppm

Spatial Distribution Test for Multiple Point Process Model
edges2vees

List Dihedral Triples in a Graph
G3est

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

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

Nearest neighbour distances between line segments
model.images

Compute Images of Constructed Covariates
logLik.mppm

Log Likelihood for Poisson Point Process Model
eroded.areas

Areas of Morphological Erosions
chop.tess

Subdivide a Window or Tessellation using a Set of Lines
default.rmhcontrol

Set Default Control Parameters for Metropolis-Hastings Algorithm.
hextess

Hexagonal Grid or Tessellation
demohyper

Demonstration Example of Hyperframe of Spatial Data
contour.listof

Plot a List of Things
harmonise.im

Make Pixel Images Compatible
lineardisc

Compute Disc of Given Radius in Linear Network
bind.fv

Combine Function Value Tables
is.multitype

Test whether Object is Multitype
deltametric

Delta Metric
anylist

List of Objects
bw.stoyan

Stoyan's Rule of Thumb for Bandwidth Selection
layout.boxes

Generate a Row or Column Arrangement of Rectangles.
nnfun.lpp

Nearest Neighbour Map on Linear Network
MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model
fasp.object

Function Arrays for Spatial Patterns
localKinhom

Inhomogeneous Neighbourhood Density Function
expand.owin

Apply Expansion Rule
npfun

Dummy Function Returns Number of Points
by.im

Apply Function to Image Broken Down by Factor
is.subset.owin

Determine Whether One Window is Contained In Another
pairsat.family

Saturated Pairwise Interaction Point Process Family
cbind.hyperframe

Combine Hyperframes by Rows or by Columns
gorillas

Gorilla Nesting Sites
gordon

People in Gordon Square
clickjoin

Interactively join vertices on a plot
is.marked

Test Whether Marks Are Present
plot.ppm

plot a Fitted Point Process Model
methods.lpp

Methods for Point Patterns on a Linear Network
eem

Exponential Energy Marks
model.depends

Identify Covariates Involved in each Model Term
markconnect

Mark Connection Function
Extract.psp

Extract Subset of Line Segment Pattern
plot.influence.ppm

Plot Influence Measure
linearpcfinhom

Inhomogeneous Linear Pair Correlation Function
is.multitype.ppp

Test Whether A Point Pattern is Multitype
nnwhich.pp3

Nearest neighbours in three dimensions
ellipse

Elliptical Window.
pairwise.family

Pairwise Interaction Process Family
japanesepines

Japanese Pines Point Pattern
nncross.lpp

Nearest Neighbours on a Linear Network
plot.msr

Plot a Signed or Vector-Valued Measure
psp

Create a Line Segment Pattern
is.im

Test Whether An Object Is A Pixel Image
methods.fii

Methods for Fitted Interactions
hyytiala

Scots pines and other trees at Hyytiala
convolve.im

Convolution of Pixel Images
intensity.ppp

Empirical Intensity of Point Pattern
persp.im

Perspective Plot of Pixel Image
rDGS

Perfect Simulation of the Diggle-Gates-Stibbard Process
plot.solist

Plot a List of Spatial Objects
as.lpp

Convert Data to a Point Pattern on a Linear Network
istat

Point and Click Interface for Exploratory Analysis of Point Pattern
lppm

Fit Point Process Model to Point Pattern on Linear Network
distmap.ppp

Distance Map of Point Pattern
gauss.hermite

Gauss-Hermite Quadrature Approximation to Expectation for Normal Distribution
linnet

Create a Linear Network
pairdist.ppx

Pairwise Distances in Any Dimensions
nnmap

K-th Nearest Point Map
lut

Lookup Tables
print.ppp

Print Brief Details of a Point Pattern Dataset
ganglia

Beta Ganglion Cells in Cat Retina, Old Version
discpartarea

Area of Part of Disc
mppm

Fit Point Process Model to Several Point Patterns
betacells

Beta Ganglion Cells in Cat Retina
methods.units

Methods for Units
model.matrix.slrm

Extract Design Matrix from Spatial Logistic Regression Model
crossdist.ppp

Pairwise distances between two different point patterns
as.solist

Convert List of Two-Dimensional Spatial Objects
pcfdot

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

Longleaf Pines Point Pattern
intersect.owin

Intersection, Union or Set Subtraction of Two Windows
eval.fv

Evaluate Expression Involving Functions
pairdist

Pairwise distances
nnwhich.ppx

Nearest Neighbours in Any Dimensions
plot.envelope

Plot a Simulation Envelope
complement.owin

Take Complement of a Window
plot.linim

Plot Pixel Image on Linear Network
methods.kppm

Methods for Cluster Point Process Models
methods.linfun

Methods for Functions on Linear Network
nndist.ppx

Nearest Neighbour Distances in Any Dimensions
scaletointerval

Rescale Data to Lie Between Specified Limits
plot.mppm

plot a Fitted Multiple Point Process Model
quadrat.test

Dispersion Test for Spatial Point Pattern Based on Quadrat Counts
nncross.pp3

Nearest Neighbours Between Two Patterns in 3D
rCauchy

Simulate Neyman-Scott Point Process with Cauchy cluster kernel
multiplicity.ppp

Count Multiplicity of Duplicate Points
is.lpp

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

Locally Scaled K-function
heather

Diggle's Heather Data
clarkevans

Clark and Evans Aggregation Index
rmhcontrol

Set Control Parameters for Metropolis-Hastings Algorithm.
linim

Create Pixel Image on Linear Network
marktable

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

Perimeter Length of Window
Kdot.inhom

Inhomogeneous Multitype K Dot Function
layered

Create List of Plotting Layers
localpcf

Local pair correlation function
nnwhich.lpp

Identify Nearest Neighbours on a Linear Network
pairorient

Point Pair Orientation Distribution
envelope

Simulation Envelopes of Summary Function
boundingbox

Bounding Box of a Window, Image, or Point Pattern
closepairs.pp3

Close Pairs of Points in 3 Dimensions
is.dppm

Recognise Fitted Determinantal Point Process Models
rMosaicField

Mosaic Random Field
osteo

Osteocyte Lacunae Data: Replicated Three-Dimensional Point Patterns
hybrid.family

Hybrid Interaction Family
predict.kppm

Prediction from a Fitted Cluster Point Process Model
Iest

Estimate the I-function
levelset

Level Set of a Pixel Image
default.expand

Default Expansion Rule for Simulation of Model
predict.lppm

Predict Point Process Model on Linear Network
rHardcore

Perfect Simulation of the Hardcore Process
incircle

Find Largest Circle Inside Window
pairdist.default

Pairwise distances
Ksector

Sector K-function
is.marked.ppm

Test Whether A Point Process Model is Marked
is.ppp

Test Whether An Object Is A Point Pattern
compatible

Test Whether Objects Are Compatible
methods.ppx

Methods for Multidimensional Space-Time Point Patterns
linearKdot

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

California Redwoods Point Pattern (Ripley's Subset)
reduced.sample

Reduced Sample Estimator using Histogram Data
nndist.lpp

Nearest neighbour distances on a linear network
markcorr

Mark Correlation Function
plot.kppm

Plot a fitted cluster point process
is.stationary

Recognise Stationary and Poisson Point Process Models
connected.ppp

Connected components of a point pattern
mincontrast

Method of Minimum Contrast
plot.hyperframe

Plot Entries in a Hyperframe
fitted.ppm

Fitted Conditional Intensity for Point Process Model
envelope.pp3

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

Make Function Tables Compatible
plot.lpp

Plot Point Pattern on Linear Network
rmh.ppm

Simulate from a Fitted Point Process Model
pcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-Type)
padimage

Pad the Border of a Pixel Image
circumradius

Circumradius of a Window
rGaussPoisson

Simulate Gauss-Poisson Process
Kmulti

Marked K-Function
lengths.psp

Lengths of Line Segments
beachcolours

Create Colour Scheme for a Range of Numbers
runifpoint3

Generate N Uniform Random Points in Three Dimensions
panel.contour

Panel Plots using Colour Image or Contour Lines
Extract.lpp

Extract Subset of Point Pattern on Linear Network
logLik.slrm

Loglikelihood of Spatial Logistic Regression
linearpcf

Linear Pair Correlation Function
split.ppx

Divide Multidimensional Point Pattern into Sub-patterns
methods.box3

Methods for Three-Dimensional Box
lansing

Lansing Woods Point Pattern
fitin.ppm

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

Rotate a Pixel Image
pcf.ppp

Pair Correlation Function of Point Pattern
intensity

Intensity of a Dataset or a Model
nncross

Nearest Neighbours Between Two Patterns
connected

Connected components
plot.slrm

Plot a Fitted Spatial Logistic Regression
predict.ppm

Prediction from a Fitted Point Process Model
improve.kppm

Improve Intensity Estimate of Fitted Cluster Point Process Model
pcfmulti

Marked pair correlation function
alltypes

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

Kimboto trees at Paracou, French Guiana
plot.pp3

Plot a three-dimensional point pattern
logLik.ppm

Log Likelihood and AIC for Point Process Model
Extract.fasp

Extract Subset of Function Array
matclust.estpcf

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

Simulate Matern Model I
perspPoints

Draw Points or Lines on a Surface Viewed in Perspective
rStrauss

Perfect Simulation of the Strauss Process
subset.ppp

Subset of Point Pattern Satisfying A Condition
pppmatching.object

Class of Point Matchings
rmhmodel.list

Define Point Process Model for Metropolis-Hastings Simulation.
rescale

Convert dataset to another unit of length
linfun

Function on a Linear Network
Jinhom

Inhomogeneous J-function
nnmark

Mark of Nearest Neighbour
rshift.ppp

Randomly Shift a Point Pattern
murchison

Murchison gold deposits
owin

Create a Window
round.ppp

Apply Numerical Rounding to Spatial Coordinates
simplepanel

Simple Point-and-Click Interface Panels
qqplot.ppm

Q-Q Plot of Residuals from Fitted Point Process Model
will.expand

Test Expansion Rule
plot.listof

Plot a List of Things
plot.im

Plot a Pixel Image
ppm.ppp

Fit Point Process Model to Point Pattern Data
progressreport

Print Progress Reports
Kmulti.inhom

Inhomogeneous Marked K-Function
pyramidal

Pyramidal Neurons in Cingulate Cortex
Pairwise

Generic Pairwise Interaction model
pairdist.ppp

Pairwise distances
plot.ppp

plot a Spatial Point Pattern
Emark

Diagnostics for random marking
plot.fv

Plot Function Values
rescale.ppp

Convert Point Pattern to Another Unit of Length
Smooth.ppp

Spatial smoothing of observations at irregular points
plot.anylist

Plot a List of Things
simulate.slrm

Simulate a Fitted Spatial Logistic Regression Model
pool.envelope

Pool Data from Several Envelopes
dclf.test

Diggle-Cressie-Loosmore-Ford and Maximum Absolute Deviation Tests
plot.layered

Layered Plot
predict.mppm

Prediction for Fitted Multiple Point Process Model
linearpcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-type) for Linear Point Pattern
pool.rat

Pool Data from Several Ratio Objects
maxnndist

Compute Minimum or Maximum Nearest-Neighbour Distance
mean.im

Maximum, Minimum, Mean, Median, Range or Sum of Pixel Values in an Image
contour.im

Contour plot of pixel image
pairdist.pp3

Pairwise distances in Three Dimensions
rpoisppOnLines

Generate Poisson Point Pattern on Line Segments
volume

Volume of an Object
valid.ppm

Check Whether Point Process Model is Valid
rhohat

Smoothing Estimate of Covariate Transformation
ppx

Multidimensional Space-Time Point Pattern
setcov

Set Covariance of a Window
pixelquad

Quadrature Scheme Based on Pixel Grid
plot.scan.test

Plot Result of Scan Test
quadrat.test.mppm

Chi-Squared Test for Multiple Point Process Model Based on Quadrat Counts
is.hybrid

Test Whether Object is a Hybrid
spatstat-deprecated

Deprecated spatstat functions
rThomas

Simulate Thomas Process
quadratcount

Quadrat counting for a point pattern
Lest

L-function
methods.pp3

Methods for three-dimensional point patterns
ppm.object

Class of Fitted Point Process Models
runifdisc

Generate N Uniform Random Points in a Disc
simulate.ppm

Simulate a Fitted Gibbs Point Process Model
plot.symbolmap

Plot a Graphics Symbol Map
simdat

Simulated Point Pattern
rVarGamma

Simulate Neyman-Scott Point Process with Variance Gamma cluster kernel
plot.psp

plot a Spatial Line Segment Pattern
rMatClust

Simulate Matern Cluster Process
methods.objsurf

Methods for Objective Function Surfaces
is.empty

Test Whether An Object Is Empty
predict.slrm

Predicted or Fitted Values from Spatial Logistic Regression
anova.lppm

ANOVA for Fitted Point Process Models on Linear Network
shift.psp

Apply Vector Translation To Line Segment Pattern
ppp

Create a Point Pattern
reach

Interaction Distance of a Point Process
spatstat-internal

Internal spatstat functions
rounding

Detect Numerical Rounding
texturemap

Texture Map
convexhull

Convex Hull
project.ppm

Force Point Process Model to be Valid
psstA

Pseudoscore Diagnostic For Fitted Model against Area-Interaction Alternative
iplot

Point and Click Interface for Displaying Spatial Data
with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe
urkiola

Urkiola Woods Point Pattern
nsegments

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

Methods for Fitted Point Process Models on a Linear Network
vcov.slrm

Variance-Covariance Matrix for a Fitted Spatial Logistic Regression
superimpose.lpp

Superimpose Several Point Patterns on Linear Network
plot.splitppp

Plot a List of Point Patterns
raster.x

Cartesian Coordinates for a Pixel Raster
rmh

Simulate point patterns using the Metropolis-Hastings algorithm.
plot.quad

Plot a Spatial Quadrature Scheme
rpoispp

Generate Poisson Point Pattern
bw.scott

Scott's Rule for Bandwidth Selection for Kernel Density
summary.im

Summarizing a Pixel Image
quadrat.test.splitppp

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

Random Perturbation of a Point Pattern
plot.fasp

Plot a Function Array
localK

Neighbourhood density function
rPoissonCluster

Simulate Poisson Cluster Process
rpoint

Generate N Random Points
nnwhich

Nearest neighbour
update.symbolmap

Update a Graphics Symbol Map.
pixellate.owin

Convert Window to Pixel Image
plot.texturemap

Plot a Texture Map
with.fv

Evaluate an Expression in a Function Table
plot.quadrattest

Display the result of a quadrat counting test.
matclust.estK

Fit the Matern Cluster Point Process by Minimum Contrast
update.rmhcontrol

Update Control Parameters of Metropolis-Hastings Algorithm
fitted.mppm

Fitted Conditional Intensity for Multiple Point Process Model
nbfires

Point Patterns of New Brunswick Forest Fires
symbolmap

Graphics Symbol Map
nearestsegment

Find Line Segment Nearest to Each Point
print.owin

Print Brief Details of a Spatial Window
relrisk

Nonparametric Estimate of Spatially-Varying Relative Risk
rmpoispp

Generate Multitype Poisson Point Pattern
sessionLibs

Print Names and Version Numbers of Libraries Loaded
summary.solist

Summary of a List of Spatial Objects
ppp.object

Class of Point Patterns
rlinegrid

Generate grid of parallel lines with random displacement
unitname

Name for Unit of Length
sharpen

Data Sharpening of Point Pattern
rotmean

Rotational Average of a Pixel Image
psp.object

Class of Line Segment Patterns
pool

Pool Data
rgbim

Create Colour-Valued Pixel Image
Hest

Spherical Contact Distribution Function
rotate.owin

Rotate a Window
rotate.psp

Rotate a Line Segment Pattern
shapley

Galaxies in the Shapley Supercluster
superimpose

Superimpose Several Geometric Patterns
plot.colourmap

Plot a Colour Map
rcellnumber

Generate Random Numbers of Points for Cell Process
mucosa

Cells in Gastric Mucosa
pixellate.psp

Convert Line Segment Pattern to Pixel Image
psstG

Pseudoscore Diagnostic For Fitted Model against Saturation Alternative
plot.lppm

Plot a Fitted Point Process Model on a Linear Network
pairdist.lpp

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

Inverse-distance weighted smoothing of observations at irregular points
summary.quad

Summarizing a Quadrature Scheme
residuals.mppm

Residuals for Point Process Model Fitted to Multiple Point Patterns
quadrats

Divide Region into Quadrats
simulate.lppm

Simulate a Fitted Point Process Model on a Linear Network
scanLRTS

Likelihood Ratio Test Statistic for Scan Test
ppm

Fit Point Process Model to Data
pairs.im

Scatterplot Matrix for Pixel Images
timed

Record the Computation Time
triplet.family

Triplet Interaction Family
scan.test

Spatial Scan Test
rshift

Random Shift
summary.owin

Summary of a Spatial Window
zapsmall.im

Rounding of Pixel Values
selfcrossing.psp

Crossing Points in a Line Segment Pattern
midpoints.psp

Midpoints of Line Segment Pattern
rescue.rectangle

Convert Window Back To Rectangle
pcfinhom

Inhomogeneous Pair Correlation Function
spatstat.options

Internal Options in Spatstat Package
rstrat

Simulate Stratified Random Point Pattern
rmhmodel

Define Point Process Model for Metropolis-Hastings Simulation.
rsyst

Simulate systematic random point pattern
square

Square Window
quadscheme

Generate a Quadrature Scheme from a Point Pattern
summary.anylist

Summary of a List of Things
rpoislpp

Poisson Point Process on a Linear Network
plot.tess

Plot a tessellation
spatialcdf

Spatial Cumulative Distribution Function
rlabel

Random Re-Labelling of Point Pattern
rotate.ppp

Rotate a Point Pattern
rmhstart

Determine Initial State for Metropolis-Hastings Simulation.
addvar

Added Variable Plot for Point Process Model
stratrand

Stratified random point pattern
spruces

Spruces Point Pattern
split.ppp

Divide Point Pattern into Sub-patterns
PairPiece

The Piecewise Constant Pairwise Interaction Point Process Model
rSSI

Simulate Simple Sequential Inhibition
print.im

Print Brief Details of an Image
summary.ppp

Summary of a Point Pattern Dataset
unique.ppp

Extract Unique Points from a Spatial Point Pattern
quantile.ewcdf

Quantiles of Weighted Empirical Cumulative Distribution Function
ponderosa

Ponderosa Pine Tree Point Pattern
Poisson

Poisson Point Process Model
runifpointx

Generate N Uniform Random Points in Any Dimensions
rpoisline

Generate Poisson Random Line Process
varblock

Estimate Variance of Summary Statistic by Subdivision
whist

Weighted Histogram
suffstat

Sufficient Statistic of Point Process Model
rescale.psp

Convert Line Segment Pattern to Another Unit of Length
Kdot

Multitype K Function (i-to-any)
pool.quadrattest

Pool Several Quadrat Tests
pp3

Three Dimensional Point Pattern
tess

Create a Tessellation
Smooth

Spatial smoothing of data
scalardilate

Apply Scalar Dilation
runifpoint

Generate N Uniform Random Points
MultiHard

The Multitype Hard Core Point Process Model
pcf

Pair Correlation Function
shift.ppp

Apply Vector Translation To Point Pattern
rQuasi

Generate Quasirandom Point Pattern in Given Window
ripras

Estimate window from points alone
summary.listof

Summary of a List of Things
sporophores

Sporophores Data
psst

Pseudoscore Diagnostic For Fitted Model against General Alternative
rNeymanScott

Simulate Neyman-Scott Process
quadratresample

Resample a Point Pattern by Resampling Quadrats
slrm

Spatial Logistic Regression
pixellate

Convert Spatial Object to Pixel Image
disc

Circular Window
update.kppm

Update a Fitted Cluster Point Process Model
quad.object

Class of Quadrature Schemes
quad.ppm

Extract Quadrature Scheme Used to Fit a Point Process Model
model.frame.ppm

Extract the Variables in a Point Process Model
rmhexpand

Specify Simulation Window or Expansion Rule
thomas.estK

Fit the Thomas Point Process by Minimum Contrast
tiles

Extract List of Tiles in a Tessellation
diameter

Diameter of an Object
plot.leverage.ppm

Plot Leverage Function
rLGCP

Simulate Log-Gaussian Cox Process
vesicles

Vesicles Data
rpoisppx

Generate Poisson Point Pattern in Any Dimensions
project2set

Find Nearest Point in a Region
summary.splitppp

Summary of a Split Point Pattern
simulate.kppm

Simulate a Fitted Cluster Point Process Model
spatstat-package

The Spatstat Package
solutionset

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

Estimate the J-function
pointsOnLines

Place Points Evenly Along Specified Lines
stienen

Stienen Diagram
adaptive.density

Intensity Estimate of Point Pattern Using Tessellation
finpines

Pine saplings in Finland.
pcf3est

Pair Correlation Function of a Three-Dimensional Point Pattern
vargamma.estK

Fit the Neyman-Scott Cluster Point Process with Variance Gamma kernel
affine.im

Apply Affine Transformation To Pixel Image
nztrees

New Zealand Trees Point Pattern
stieltjes

Compute Integral of Function Against Cumulative Distribution
swedishpines

Swedish Pines Point Pattern
plot.plotppm

Plot a plotppm Object Created by plot.ppm
waka

Trees in Waka national park
reflect

Reflect In Origin
vertices

Vertices of a Window
textureplot

Plot Image Using Texture Fill
split.hyperframe

Divide Hyperframe Into Subsets and Reassemble
rescale.owin

Convert Window to Another Unit of Length
Extract.tess

Extract or Replace Subset of Tessellation
thomas.estpcf

Fit the Thomas Point Process by Minimum Contrast
rmpoint

Generate N Random Multitype Points
transect.im

Pixel Values Along a Transect
unnormdensity

Weighted kernel smoother
Smoothfun.ppp

Smooth Interpolation of Marks as a Spatial Function
sumouter

Compute Quadratic Forms
vargamma.estpcf

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

Theoretical Distribution of Nearest Neighbour Distance
MultiStrauss

The Multitype Strauss Point Process Model
update.ppm

Update a Fitted Point Process Model
shift

Apply Vector Translation
rMosaicSet

Mosaic Random Set
rStraussHard

Perfect Simulation of the Strauss-Hardcore Process
tilenames

Names of Tiles in a Tessellation
print.psp

Print Brief Details of a Line Segment Pattern Dataset
vcov.kppm

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

Create a Point Matching
Kcross

Multitype K Function (Cross-type)
Gmulti

Marked Nearest Neighbour Distance Function
reload.or.compute

Compute Unless Previously Saved
trim.rectangle

Cut margins from rectangle
rcell

Simulate Baddeley-Silverman Cell Process
pool.fasp

Pool Data from Several Function Arrays
simplenet

Simple Example of Linear Network
Extract.ppx

Extract Subset of Multidimensional Point Pattern
opening

Morphological Opening
summary.ppm

Summarizing a Fitted Point Process Model
rho2hat

Smoothed Relative Density of Pairs of Covariate Values
sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window
run.simplepanel

Run Point-and-Click Interface
profilepl

Profile Maximum Pseudolikelihood
pixelcentres

Extract Pixel Centres as Point Pattern
leverage.ppm

Leverage Measure for Spatial Point Process Model
simplify.owin

Approximate a Polygon by a Simpler Polygon
union.quad

Union of Data and Dummy Points
rshift.splitppp

Randomly Shift a List of Point Patterns
subfits

Extract List of Individual Point Process Models
rmh.default

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

The Triplet Point Process Model
chorley

Chorley-Ribble Cancer Data
rpoispp3

Generate Poisson Point Pattern in Three Dimensions
rmhmodel.ppm

Interpret Fitted Model for Metropolis-Hastings Simulation.
range.fv

Range of Function Values
Extract.listof

Extract or Replace Subset of a List of Things
split.im

Divide Image Into Sub-images
rshift.psp

Randomly Shift a Line Segment Pattern
runifpointOnLines

Generate N Uniform Random Points On Line Segments
tile.areas

Compute Areas of Tiles in a Tessellation
StraussHard

The Strauss / Hard Core Point Process Model
data.ppm

Extract Original Data from a Fitted Point Process Model
Finhom

Inhomogeneous Empty Space Function
compatible.fasp

Test Whether Function Arrays Are Compatible
as.psp

Convert Data To Class psp
identify.ppp

Identify Points in a Point Pattern
inside.owin

Test Whether Points Are Inside A Window
diagnose.ppm

Diagnostic Plots for Fitted Point Process Model
distmap.owin

Distance Map of Window
linearKinhom

Inhomogeneous Linear K Function
as.linim

Convert to Pixel Image on Linear Network
ippm

Fit Point Process Model Involving Irregular Trend Parameters
markvario

Mark Variogram
latest.news

Print News About Latest Version of Package
Gfox

Foxall's Distance Functions
plot.quadratcount

Plot Quadrat Counts
pcf.fasp

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

Plot a Spatial Distribution Test
quasirandom

Quasirandom Patterns
rDiggleGratton

Perfect Simulation of the Diggle-Gratton Process
overlap.owin

Compute Area of Overlap
residualspaper

Data and Code From JRSS Discussion Paper on Residuals
npoints

Number of Points in a Point Pattern
scanpp

Read Point Pattern From Data File
shift.im

Apply Vector Translation To Pixel Image
runiflpp

Uniform Random Points on a Linear Network
solist

List of Two-Dimensional Spatial Objects
plot.linnet

Plot a linear network
print.ppm

Print a Fitted Point Process Model
Extract.anylist

Extract or Replace Subset of a List of Things
Gres

Residual G Function
cells

Biological Cells Point Pattern
compareFit

Residual Diagnostics for Multiple Fitted Models
bw.relrisk

Cross Validated Bandwidth Selection for Relative Risk Estimation
diameter.boxx

Geometrical Calculations for Multi-Dimensional Box
crossing.psp

Crossing Points of Two Line Segment Patterns
intensity.quadratcount

Intensity Estimates Using Quadrat Counts
marks.psp

Marks of a Line Segment Pattern
marks

Marks of a Point Pattern
methods.slrm

Methods for Spatial Logistic Regression Models
Extract.influence.ppm

Extract Subset of Influence Object
Replace.im

Reset Values in Subset of Image
methods.layered

Methods for Layered Objects
plot.owin

Plot a Spatial Window
pcf.fv

Pair Correlation Function obtained from K Function
nndist.pp3

Nearest neighbour distances in three dimensions
Kmodel.ppm

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

Make Periodic Copies of a Spatial Pattern
quantile.im

Sample Quantiles of Pixel Image
project2segment

Move Point To Nearest Line
print.quad

Print a Quadrature Scheme
rMaternII

Simulate Matern Model II
redwoodfull

California Redwoods Point Pattern (Entire Dataset)
shift.owin

Apply Vector Translation To Window
rthin

Random Thinning
ord.family

Ord Interaction Process Family
endpoints.psp

Endpoints of Line Segment Pattern
summary.psp

Summary of a Line Segment Pattern Dataset
waterstriders

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

Calculate Variance-Covariance Matrix for Fitted Multiple Point Process Model
spokes

Spokes pattern of dummy points
pairdist.psp

Pairwise distances between line segments
distfun

Distance Map as a Function
amacrine

Hughes' Amacrine Cell Data
Gcom

Model Compensator of Nearest Neighbour Function
Jdot

Multitype J Function (i-to-any)
discretise

Safely Convert Point Pattern Window to Binary Mask
default.dummy

Generate a Default Pattern of Dummy Points
as.matrix.im

Convert Pixel Image to Matrix or Array
eval.linim

Evaluate Expression Involving Pixel Images on Linear Network
flu

Influenza Virus Proteins
foo

Foo is Not a Variable
infline

Infinite Straight Lines
crossdist

Pairwise distances
humberside

Humberside Data on Childhood Leukaemia and Lymphoma
kppm

Fit Cluster or Cox Point Process Model
methods.linnet

Methods for Linear Networks
owin.object

Class owin
objsurf

Objective Function Surface
plot.bermantest

Plot Result of Berman Test
parres

Partial Residuals for Point Process Model
rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.
rotate

Rotate
rpoislinetess

Poisson Line Tessellation
rat

Ratio object
residuals.ppm

Residuals for Fitted Point Process Model
simba

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

Convert Pixel Image to Another Unit of Length
pcfcross

Multitype pair correlation function (cross-type)
quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern
unmark

Remove Marks
vcov.ppm

Variance-Covariance Matrix for a Fitted Point Process Model
tweak.colourmap

Change Colour Values in a Colour Map
pppdist

Distance Between Two Point Patterns