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spatstat (version 1.18-1)

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. Contains 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. Point process models can be fitted to point pattern data. Cluster type models are fitted by the method of minimum contrast. Very general Gibbs point process models can be fitted to point pattern data using a function ppm similar to lm or glm. Models may include dependence on covariates, interpoint interaction and dependence on marks. Fitted models can be simulated automatically. Also provides facilities for formal inference (such as chi-squared tests) and model diagnostics (including simulation envelopes, residuals, residual plots and Q-Q plots).

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Version

Install

install.packages('spatstat')

Monthly Downloads

16,590

Version

1.18-1

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

March 19th, 2010

Functions in spatstat (1.18-1)

Kest

K-function
Kdot.inhom

Inhomogeneous Multitype K Dot Function
chorley

Chorley-Ribble Cancer Data
bounding.box

Bounding Box of a Window or Point Pattern
areaGain

Difference of Disc Areas
areaLoss

Difference of Disc Areas
coef.ppm

Coefficients of Fitted Point Process Model
Softcore

The Soft Core Point Process Model
ants

Harkness-Isham ants' nests data
Kmeasure

Reduced Second Moment Measure
Gest

Nearest Neighbour Distance Function G
Extract.ppp

Extract or Replace Subset of Point Pattern
colourmap

Colour Lookup Tables
as.mask

Pixel Image Approximation of a Window
blur

Apply Gaussian Blur to a Pixel Image
Iest

Estimate the I-function
Ldot

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

The Area Interaction Point Process Model
collapse.fv

Collapse Several Function Tables into One
betacells

Beta Ganglion Cells in Cat Retina
Ldot.inhom

Inhomogeneous Multitype L Dot Function
convexhull.xy

Convex Hull of Points
bdist.points

Distance to Boundary of Window
Gdot

Multitype Nearest Neighbour Distance Function (i-to-any)
eval.im

Evaluate Expression Involving Pixel Images
dirichlet

Dirichlet Tessellation of Point Pattern
affine.ppp

Apply Affine Transformation To Point Pattern
Geyer

Geyer's Saturation Point Process Model
Extract.quad

Subset of Quadrature Scheme
as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern
append.psp

Combine Two Line Segment Patterns
affine.psp

Apply Affine Transformation To Line Segment Pattern
bdist.pixels

Distance to Boundary of Window
Kcross.inhom

Inhomogeneous Cross K Function
bramblecanes

Hutchings' Bramble Canes data
copper

Berman-Huntington points and lines data
Extract.listof

Extract or Replace Subset of a List of Things
crossdist

Pairwise distances
DiggleGratton

Diggle-Gratton model
as.ppp

Convert Data To Class ppp
Strauss

The Strauss Point Process Model
crossdist.pp3

Pairwise distances between two different three-dimensional point patterns
delaunay

Delaunay Triangulation of Point Pattern
Lest

L-function
inside.owin

Test Whether Points Are Inside A Window
Fest

Estimate the empty space function F
is.marked.ppm

Test Whether A Point Process Model is Marked
cells

Biological Cells Point Pattern
amacrine

Hughes' Amacrine Cell Data
integral.im

Integral of a Pixel Image
Kmulti

Marked K-Function
Extract.fasp

Extract Subset of Function Array
angles.psp

Orientation Angles of Line Segments
is.multitype

Test whether Object is Multitype
Pairwise

Generic Pairwise Interaction model
interp.im

Interpolate a Pixel Image
Lcross

Multitype L-function (cross-type)
allstats

Calculate four standard summary functions of a point pattern.
kaplan.meier

Kaplan-Meier Estimator using Histogram Data
lansing

Lansing Woods Point Pattern
levelset

Level Set of a Pixel Image
as.polygonal

Convert a Window to a Polygonal Window
pixellate.owin

Convert Window to Pixel Image
Extract.psp

Extract Subset of Line Segment Pattern
clickpoly

Interactively Define a Polygon
centroid.owin

Centroid of a window
as.matrix.im

Convert Pixel Image to Matrix
Extract.fv

Extract Subset of Function Values
K3est

K-function of a Three-Dimensional Point Pattern
ppp.object

Class of Point Patterns
quadratresample

Resample a Point Pattern by Resampling Quadrats
as.psp

Convert Data To Class psp
concatxy

Concatenate x,y Coordinate Vectors
diameter

Diameter of a Window
kppm

Fit cluster point process model
discretise

Safely Convert Point Pattern Window to Binary Mask
crossdist.default

Pairwise distances between two different sets of points
lengths.psp

Lengths of Line Segments
eval.fv

Evaluate Expression Involving Functions
Kcross

Multitype K Function (Cross-type)
markstat

Summarise Marks in Every Neighbourhood in a Point Pattern
diameter.box3

Geometrical Calculations for Three-Dimensional Box
latest.news

Print News About Latest Version of Package
LennardJones

The Lennard-Jones Potential
Extract.tess

Extract or Replace Subset of Tessellation
quadscheme

Generate a Quadrature Scheme from a Point Pattern
Gmulti

Marked Nearest Neighbour Distance Function
as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame
complement.owin

Take Complement of a Window
hamster

Aherne's hamster tumour data
quantile.im

Sample Quantiles of Pixel Image
as.im

Convert to Pixel Image
MultiStrauss

The Multitype Strauss Point Process Model
summary.im

Summarizing a Pixel Image
G3est

Nearest Neighbour Distance Distribution Function of a Three-Dimensional Point Pattern
compatible.im

Test Whether Two Pixel Images Are Compatible
Gcross

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

Multitype J Function (i-to-any)
alltypes

Calculate Summary Statistic for All Types in a Multitype Point Pattern
is.owin

Test Whether An Object Is A Window
is.multitype.ppp

Test Whether A Point Pattern is Multitype
matchingdist

Distance for a Point Pattern Matching
logLik.ppm

Log Likelihood for Poisson Point Process Model
Extract.splitppp

Extract or Replace Sub-Patterns
expand.owin

Expand Window By Factor
Hardcore

The Hard Core Point Process Model
fryplot

Fry Plot of Point Pattern
gpc2owin

Convert Polygonal Region into Different Format
compatible.fv

Test Whether Two Function Objects Are Compatible
Jmulti

Marked J Function
discpartarea

Area of Part of Disc
convexhull

Convex Hull
incircle

Find Largest Circle Inside Window
ppp

Create a Point Pattern
corners

Corners of a rectangle
istat

Point and Click Interface for Exploratory Analysis of Point Pattern
pcf.ppp

Pair Correlation Function of Point Pattern
nndist.psp

Nearest neighbour distances between line segments
dummy.ppm

Extract Dummy Points Used to Fit a Point Process Model
localK

Neighbourhood density function
longleaf

Longleaf Pines Point Pattern
pcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-Type)
adaptive.density

Intensity Estimate of Point Pattern Using Tessellation
as.box3

Convert Data to Three-Dimensional Box
fitted.ppm

Fitted Conditional Intensity for Point Process Model
im.object

Class of Images
fitin.ppm

Extract the Interaction from a Fitted Point Process Model
affine.owin

Apply Affine Transformation To Window
plot.quad

plot a Spatial Quadrature Scheme
japanesepines

Japanese Pines Point Pattern
is.marked

Test Whether Marks Are Present
closing

Morphological Closing
Replace.im

Reset Values in Subset of Image
StraussHard

The Strauss / Hard Core Point Process Model
by.im

Apply Function to Image Broken Down by Factor
thomas.estK

Fit the Thomas Point Process by Minimum Contrast
rMatClust

Simulate Matern Cluster Process
finpines

Pine saplings in Finland.
is.marked.ppp

Test Whether A Point Pattern is Marked
distfun

Distance Map as a Function
rThomas

Simulate Thomas Process
bermantest

Berman's Tests for Point Process Model
pairdist.default

Pairwise distances
is.im

Test Whether An Object Is A Pixel Image
pppmatching

Create a Point Matching
OrdThresh

Ord's Interaction model
plot.owin

Plot a Spatial Window
markconnect

Mark Connection Function
letterR

Window in Shape of Letter R
mean.im

Mean, Median and Range of Pixel Values in an Image
vertices

Vertices of a Window
murchison

Murchison gold deposits
eroded.areas

Areas of Morphological Erosions
Saturated

Saturated Pairwise Interaction model
as.tess

Convert Data To Tessellation
Emark

Diagnostics for random marking
deltametric

Delta Metric
rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.
kstest.ppm

Kolmogorov-Smirnov Test for Point Process Model
quadrat.test.splitppp

Chi-Squared Test of CSR for Split Point Pattern
effectfun

Compute Fitted Effect of a Spatial Covariate in a Point Process Model
pcfdot.inhom

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

Interactively Add Points
distmap.owin

Distance Map of Window
data.ppm

Extract Original Data from a Fitted Point Process Model
pp3

Three Dimensional Point Pattern
nearestsegment

Find Line Segment Nearest to Each Point
lurking

Lurking variable plot
pcf

Pair Correlation Function
markcorr

Mark Correlation Function
pcfinhom

Inhomogeneous Pair Correlation Function
Kest.fft

K-function using FFT
unique.ppp

Extract Unique Points from a Spatial Point Pattern
Ord

Generic Ord Interaction model
rotate

Rotate
is.empty

Test Whether An Object Is Empty
connected

Connected components of an image or window
rescale.im

Convert Pixel Image to Another Unit of Length
pixellate.ppp

Convert Point Pattern to Pixel Image
density.splitppp

Kernel Smoothed Intensity of Split Point Pattern
pairdist

Pairwise distances
simulate.kppm

Simulate a Fitted Cluster Point Process Model
ganglia

Beta Ganglion Cells in Cat Retina, Old Version
owin

Create a Window
rpoisline

Generate Poisson Random Line Process
tiles

Extract List of Tiles in a Tessellation
is.convex

Test Whether a Window is Convex
Lcross.inhom

Inhomogeneous Cross Type L Function
rcell

Simulate Baddeley-Silverman Cell Process
gridweights

Compute Quadrature Weights Based on Grid Counts
plot.im

Plot a Pixel Image
iplot

Point and Click Interface for Displaying a Point Pattern
intersect.owin

Intersection, Union or Set Subtraction of Two Windows
bdist.tiles

Distance to Boundary of Window
npoints

Number of Points in a Point Pattern
quadratcount

Quadrat counting for a point pattern
km.rs

Kaplan-Meier and Reduced Sample Estimator using Histograms
endpoints.psp

Endpoints of Line Segment Pattern
harmonic

Basis for Harmonic Functions
dilation

Morphological Dilation
demopat

Artificial Data Point Pattern
pcfdot

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

Extract Coordinates of a Spatial or Spatiotemporal Point Pattern
heather

Diggle's Heather Data
rmpoispp

Generate Multitype Poisson Point Pattern
spruces

Spruces Point Pattern
plot.fasp

Plot a Function Array
distmap

Distance Map
nearest.raster.point

Find Pixel Nearest to a Given Point
rmhmodel.list

Define Point Process Model for Metropolis-Hastings Simulation.
crossdist.ppp

Pairwise distances between two different point patterns
split.ppp

Divide Point Pattern into Sub-patterns
F3est

Empty Space Function of a Three-Dimensional Point Pattern
diagnose.ppm

Diagnostic Plots for Fitted Point Process Model
distmap.ppp

Distance Map of Point Pattern
model.images

Compute Images of Constructed Covariates
is.subset.owin

Determine Whether One Window is Contained In Another
as.mask.psp

Convert Line Segment Pattern to Binary Pixel Mask
rmhmodel.ppm

Interpret Fitted Model for Metropolis-Hastings Simulation.
crossing.psp

Crossing Points of Two Line Segment Patterns
compatible.fasp

Test Whether Two Function Arrays Are Compatible
nncorr

Nearest-Neighbour Correlation Indices of Marked Point Pattern
scanpp

Read Point Pattern From Data File
pcf.fasp

Pair Correlation Function obtained from array of K functions
PairPiece

The Piecewise Constant Pairwise Interaction Point Process Model
unitname

Name for Unit of Length
matclust.estK

Fit the Matern Cluster Point Process by Minimum Contrast
is.ppm

Test Whether An Object Is A Fitted Point Process Model
rMaternI

Simulate Matern Model I
as.owin

Convert Data To Class owin
selfcrossing.psp

Crossing Points in a Line Segment Pattern
nbfires

Point Patterns of New Brunswick Forest Fires
update.ppm

Update a Fitted Point Process Model
hist.im

Histogram of Pixel Values in an Image
density.ppp

Kernel Smoothed Intensity of Point Pattern
ord.family

Ord Interaction Process Family
bronzefilter

Bronze gradient filter data
with.fv

Evaluate an Expression in a Function Table
is.ppp

Test Whether An Object Is A Point Pattern
rmhstart

Determine Initial State for Metropolis-Hastings Simulation.
print.owin

Print Brief Details of a Spatial Window
Linhom

L-function
pixellate

Convert Spatial Object to Pixel Image
is.multitype.ppm

Test Whether A Point Process Model is Multitype
as.data.frame.im

Convert Pixel Image to Data Frame
print.im

Print Brief Details of an Image
print.ppm

Print a Fitted Point Process Model
infline

Infinite Straight Lines
pairdist.psp

Pairwise distances between line segments
nndist

Nearest neighbour distances
summary.ppm

Summarizing a Fitted Point Process Model
marktable

Tabulate Marks in Neighbourhood of Every Point in a Point Pattern
methods.pp3

Methods for three-dimensional point patterns
MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model
multiplicity.ppp

Count Multiplicity of Duplicate Points
markcorrint

Mark Correlation Integral
shift.ppp

Apply Vector Translation To Point Pattern
qqplot.ppm

Q-Q Plot of Residuals from Fitted Point Process Model
union.quad

Union of Data and Dummy Points
ppm

Fit Point Process Model to Data
anemones

Beadlet Anemones Data
raster.x

Cartesian Coordinates for a Pixel Raster
rStrauss

Perfect Simulation of the Strauss Process
ppx

Multidimensional Space-Time Point Pattern
envelope

Simulation Envelopes of Summary Function
pixellate.psp

Convert Line Segment Pattern to Pixel Image
persp.im

Perspective Plot of Pixel Image
humberside

Humberside Data on Childhood Leukaemia and Lymphoma
plot.splitppp

Plot a List of Point Patterns
identify.ppp

Identify Points in a Point Pattern
plot.psp

plot a Spatial Line Segment Pattern
duplicated.ppp

Determine Duplicated Points in a Spatial Point Pattern
smooth.ppp

Spatial smoothing of observations at irregular points
plot.ppp

plot a Spatial Point Pattern
Extract.im

Extract Subset of Image
fv.object

Data Frames of Function Values
urkiola

Urkiola Woods Point Pattern
disc

Circular Window
rpoislinetess

Poisson Line Tessellation
inforder.family

Infinite Order Interaction Family
reduced.sample

Reduced Sample Estimator using Histogram Data
nztrees

New Zealand Trees Point Pattern
midpoints.psp

Midpoints of Line Segment Pattern
quadrats

Divide Region into Quadrats
gridcentres

Rectangular grid of points
rescale.ppp

Convert Point Pattern to Another Unit of Length
redwoodfull

California Redwoods Point Pattern (Entire Dataset)
summary.psp

Summary of a Line Segment Pattern Dataset
bounding.box.xy

Convex Hull of Points
runifpoint

Generate N Uniform Random Points
area.owin

Area of a Window
with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe
quadrat.test

Chi-Squared Dispersion Test for Spatial Point Pattern Based on Quadrat Counts
ripras

Estimate window from points alone
default.dummy

Generate a Default Pattern of Dummy Points
square

Square Window
crossdist.psp

Pairwise distances between two different line segment patterns
pcf.fv

Pair Correlation Function obtained from K Function
rSSI

Simulate Simple Sequential Inhibition
markvario

Mark Variogram
plot.bermantest

Plot Result of Berman Test
density.psp

Kernel Smoothing of Line Segment Pattern
rpoispp3

Generate Poisson Point Pattern in Three Dimensions
setcov

Set Covariance of a Window
distmap.psp

Distance Map of Line Segment Pattern
project2segment

Move Point To Nearest Line
spatstat-internal

Internal spatstat functions
plot.ppm

plot a Fitted Point Process Model
rescale.owin

Convert Window to Another Unit of Length
residualspaper

Data and Code From JRSS Discussion Paper on Residuals
fv

Create a Function Value Table
Hest

Spherical Contact Distribution Function
pointsOnLines

Place Points Evenly Along Specified Lines
rpoint

Generate N Random Points
pixelquad

Quadrature Scheme Based on Pixel Grid
rpoisppOnLines

Generate Poisson Point Pattern on Line Segments
plot.listof

Plot a List of Things
methods.ppx

Methods for Multidimensional Space-Time Point Patterns
Poisson

Poisson Point Process Model
Kdot

Multitype K Function (i-to-any)
rknn

Theoretical Distribution of Nearest Neighbour Distance
mincontrast

Method of Minimum Contrast
print.psp

Print Brief Details of a Line Segment Pattern Dataset
rjitter

Random Perturbation of a Point Pattern
predict.kppm

Prediction from a Fitted Cluster Point Process Model
plot.kppm

Plot a fitted cluster point process
psp

Create a Line Segment Pattern
bind.fv

Combine Function Value Tables
shift

Apply Vector Translation
clarkevans

Clark and Evans Aggregation Index
miplot

Morishita Index Plot
runifdisc

Generate N Uniform Random Points in a Disc
trim.rectangle

Cut margins from rectangle
plot.plotppm

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

Prediction from a Fitted Point Process Model
quad.object

Class of Quadrature Schemes
pairwise.family

Pairwise Interaction Process Family
rMosaicField

Mosaic Random Field
plot.colourmap

Plot a Colour Map
as.rectangle

Window Frame
nnwhich

Nearest neighbour
rstrat

Simulate Stratified Random Point Pattern
reach

Interaction Distance of a Point Process
psp.object

Class of Line Segment Patterns
rMaternII

Simulate Matern Model II
rsyst

Simulate systematic random point pattern
plot.pp3

Plot a three-dimensional point pattern
nncross

Nearest Neighbours Between Two Patterns
spatstat.options

Internal Options in Spatstat Package
perimeter

Perimeter Length of Window
box3

Three-Dimensional Box
contour.im

Contour plot of pixel image
rMosaicSet

Mosaic Random Set
rlabel

Random Re-Labelling of Point Pattern
summary.owin

Summary of a Spatial Window
quad.ppm

Extract Quadrature Scheme Used to Fit a Point Process Model
methods.box3

Methods for Three-Dimensional Box
lut

Lookup Tables
runifpoint3

Generate N Uniform Random Points in Three Dimensions
rshift.psp

Randomly Shift a Line Segment Pattern
plot.hyperframe

Plot Entries in a Hyperframe
hyperframe

Hyper Data Frame
pppmatching.object

Class of Point Matchings
rlinegrid

Generate grid of parallel lines with random displacement
rmh.default

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

Tropical rain forest trees
rmh.ppm

Simulate from a Fitted Point Process Model
marks

Marks of a Point Pattern
SatPiece

Piecewise Constant Saturated Pairwise Interaction Point Process Model
print.quad

Print a Quadrature Scheme
plot.tess

Plot a tessellation
rescale

Convert dataset to another unit of length
runifpointOnLines

Generate N Uniform Random Points On Line Segments
rNeymanScott

Simulate Neyman-Scott Process
opening

Morphological Opening
affine

Apply Affine Transformation
rmhmodel

Define Point Process Model for Metropolis-Hastings Simulation.
rmh

Simulate point patterns using the Metropolis-Hastings algorithm.
erosion

Morphological Erosion
profilepl

Profile Maximum Pseudolikelihood
rthin

Random Thinning
pppdist

Distance Between Two Point Patterns
plot.kstest

Plot a Spatial Kolmogorov-Smirnov Test
vcov.ppm

Variance-Covariance Matrix for a Fitted Point Process Model
redwood

California Redwoods Point Pattern (Ripley's Subset)
update.kppm

Update a Fitted Cluster Point Process Model
rotate.ppp

Rotate a Point Pattern
shift.psp

Apply Vector Translation To Line Segment Pattern
lgcp.estK

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

Spokes pattern of dummy points
superimposePSP

Superimpose Several Line Segment Patterns
print.ppp

Print Brief Details of a Point Pattern Dataset
shapley

Galaxies in the Shapley Supercluster
simulate.ppm

Simulate a Fitted Gibbs Point Process Model
rpoispp

Generate Poisson Point Pattern
cut.ppp

Classify Points in a Point Pattern
rotate.psp

Rotate a Line Segment Pattern
dilated.areas

Areas of Morphological Dilations
rshift

Random Shift
pairdist.ppp

Pairwise distances
plot.fv

Plot Function Values
whist

Weighted Histogram
ppm.object

Class of Fitted Point Process Models
unmark

Remove Marks
eval.fasp

Evaluate Expression Involving Function Arrays
eem

Exponential Energy Marks
ponderosa

Ponderosa Pine Tree Point Pattern
summary.ppp

Summary of a Point Pattern Dataset
ewcdf

Weighted Empirical Cumulative Distribution Function
rshift.splitppp

Randomly Shift a List of Point Patterns
progressreport

Print Progress Reports
shift.im

Apply Vector Translation To Pixel Image
solutionset

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

Simulate Gauss-Poisson Process
nnwhich.pp3

Nearest neighbours in three dimensions
dirichlet.weights

Compute Quadrature Weights Based on Dirichlet Tessellation
cut.im

Convert Pixel Image from Numeric to Factor
pairsat.family

Saturated Pairwise Interaction Point Process Family
simdat

Simulated Point Pattern
rmpoint

Generate N Random Multitype Points
fasp.object

Function Arrays for Spatial Patterns
superimpose

Superimpose Several Point Patterns
rescue.rectangle

Convert Window Back To Rectangle
residuals.ppm

Residuals for Fitted Point Process Model
split.im

Divide Image Into Sub-images
intersect.tess

Intersection of Two Tessellations
nndist.pp3

Nearest neighbour distances in three dimensions
rmhcontrol

Set Control Parameters for Metropolis-Hastings Algorithm.
summary.quad

Summarizing a Quadrature Scheme
Jcross

Multitype J Function (i-to-j)
model.matrix.ppm

Extract Design Matrix from Point Process Model
tess

Create a Tessellation
swedishpines

Swedish Pines Point Pattern
shift.owin

Apply Vector Translation To Window
summary.splitppp

Summary of a Split Point Pattern
anova.ppm

ANOVA for Fitted Point Process Models
BadGey

Hybrid Geyer Point Process Model
summary.listof

Summary of a List of Things
as.data.frame.ppp

Coerce Point Pattern to a Data Frame
Jest

Estimate the J-function
border

Border Region of a Window
Kinhom

Inhomogeneous K-function
as.hyperframe

Convert Data to Hyperframe
chop.tess

Subdivide a Window or Tessellation using a Set of Lines
clip.infline

Intersect Infinite Straight Lines with a Window
by.ppp

Apply a Function to a Point Pattern Broken Down by Factor
spatstat-deprecated

Deprecated spatstat functions
envelope.pp3

Simulation Envelopes of Summary Function for 3D Point Pattern
nnclean

Nearest Neighbour Clutter Removal
pcfcross

Multitype pair correlation function (cross-type)
periodify

Make Periodic Copies of a Spatial Pattern
owin.object

Class owin
rescale.psp

Convert Line Segment Pattern to Another Unit of Length
suffstat

Sufficient Statistic of Point Process Model
applynbd

Apply Function to Every Neighbourhood in a Point Pattern
rshift.ppp

Randomly Shift a Point Pattern
stieltjes

Compute Integral of Function Against Cumulative Distribution
spatstat-package

The Spatstat Package
simplify.owin

Approximate a Polygon by a Simpler Polygon
rotate.owin

Rotate a Window
im

Create a Pixel Image Object
pairdist.pp3

Pairwise distances in Three Dimensions