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spatstat (version 1.33-0)

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 1000 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 K-functions, 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 etc. Point process models can be fitted to point pattern data using functions ppm, kppm, slrm similar to glm. Models may include dependence on covariates, interpoint interaction, cluster formation 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

19,373

Version

1.33-0

License

GPL (>= 2)

Maintainer

Last Published

September 5th, 2013

Functions in spatstat (1.33-0)

Kmodel

K function of a model
Iest

Estimate the I-function
Fest

Estimate the empty space function F
AreaInter

The Area Interaction Point Process Model
by.im

Apply Function to Image Broken Down by Factor
Jmulti

Marked J Function
connected

Connected components
Lcross

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

Extract Subset of Line Segment Pattern
Finhom

Inhomogeneous Empty Space Function
DiggleGatesStibbard

Diggle-Gates-Stibbard Point Process Model
bdist.points

Distance to Boundary of Window
cells

Biological Cells Point Pattern
anova.slrm

Analysis of Deviance for Spatial Logistic Regression Models
density.ppp

Kernel Smoothed Intensity of Point Pattern
SatPiece

Piecewise Constant Saturated Pairwise Interaction Point Process Model
Extract.ppx

Extract Subset of Multidimensional Point Pattern
betacells

Beta Ganglion Cells in Cat Retina
as.polygonal

Convert a Window to a Polygonal Window
Linhom

L-function
Jcross

Multitype J Function (i-to-j)
bw.scott

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

Convert Data To Class ppp
clickjoin

Interactively join vertices on a plot
beachcolours

Create Colour Scheme for a Range of Numbers
bw.relrisk

Cross Validated Bandwidth Selection for Relative Risk Estimation
colourmap

Colour Lookup Tables
edges2triangles

List Triangles in a Graph
intersect.tess

Intersection of Two Tessellations
deriv.fv

Calculate Derivative of Function Values
clmfires

Castilla-La Mancha Forest Fires
gridcentres

Rectangular grid of points
Gcross

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

Extract coordinates and marks of multidimensional point pattern
compatible.fv

Test Whether Function Objects Are Compatible
areaLoss

Difference of Disc Areas
dirichlet

Dirichlet Tessellation of Point Pattern
compareFit

Residual Diagnostics for Multiple Fitted Models
distmap

Distance Map
density.psp

Kernel Smoothing of Line Segment Pattern
fasp.object

Function Arrays for Spatial Patterns
crossdist.pp3

Pairwise distances between two different three-dimensional point patterns
lgcp.estK

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

Window in Shape of Letter R
fitin.ppm

Extract the Interaction from a Fitted Point Process Model
nndist.psp

Nearest neighbour distances between line segments
Fiksel

The Fiksel Interaction
as.linim

Convert to Pixel Image on Linear Network
bw.smoothppp

Cross Validated Bandwidth Selection for Spatial Smoothing
Smooth

Spatial smoothing of data
bermantest

Berman's Tests for Point Process Model
as.rectangle

Window Frame
chop.tess

Subdivide a Window or Tessellation using a Set of Lines
Tstat

Third order summary statistic
default.expand

Default Expansion Rule for Simulation of Model
coef.slrm

Coefficients of Fitted Spatial Logistic Regression Model
StraussHard

The Strauss / Hard Core Point Process Model
fitted.slrm

Fitted Probabilities for Spatial Logistic Regression
cut.ppp

Classify Points in a Point Pattern
border

Border Region of a Window
colourtools

Convert and Compare Colours in Different Formats
blur

Apply Gaussian Blur to a Pixel Image
dilation

Morphological Dilation
plot.leverage.ppm

Plot Leverage Function
hyytiala

Scots pines and other trees at Hyytiala
allstats

Calculate four standard summary functions of a point pattern.
affine.lpp

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

Make Pixel Images Compatible
Geyer

Geyer's Saturation Point Process Model
influence.ppm

Influence Measure for Spatial Point Process Model
gridweights

Compute Quadrature Weights Based on Grid Counts
methods.lpp

Methods for Point Patterns on a Linear Network
intersect.owin

Intersection, Union or Set Subtraction of Two Windows
MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model
infline

Infinite Straight Lines
is.hybrid

Test Whether Object is a Hybrid
Ldot

Multitype L-function (i-to-any)
default.dummy

Generate a Default Pattern of Dummy Points
Kres

Residual K Function
as.data.frame.im

Convert Pixel Image to Data Frame
Extract.fasp

Extract Subset of Function Array
plot.envelope

Plot a Simulation Envelope
diameter.owin

Diameter of a Window
kstest.ppm

Kolmogorov-Smirnov Test for Point Pattern or Point Process Model
data.ppm

Extract Original Data from a Fitted Point Process Model
bw.ppl

Likelihood Cross Validation Bandwidth Selection for Kernel Density
Kmulti.inhom

Inhomogeneous Marked K-Function
Gres

Residual G Function
is.multitype.ppp

Test Whether A Point Pattern is Multitype
demopat

Artificial Data Point Pattern
clickpoly

Interactively Define a Polygon
linearKinhom

Inhomogeneous Linear K Function
intensity.lpp

Empirical Intensity of Point Pattern on Linear Network
area.owin

Area of a Window
Lcross.inhom

Inhomogeneous Cross Type L Function
Kmeasure

Reduced Second Moment Measure
diameter.box3

Geometrical Calculations for Three-Dimensional Box
cut.im

Convert Pixel Image from Numeric to Factor
as.mask.psp

Convert Line Segment Pattern to Binary Pixel Mask
is.marked.ppp

Test Whether A Point Pattern is Marked
ippm

Optimise Irregular Trend Parameters in Point Process Model
pppmatching

Create a Point Matching
crossdist.default

Pairwise distances between two different sets of points
areaGain

Difference of Disc Areas
flu

Influenza Virus Proteins
eval.fasp

Evaluate Expression Involving Function Arrays
Pairwise

Generic Pairwise Interaction model
rescale.im

Convert Pixel Image to Another Unit of Length
alltypes

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

Local pair correlation function
markstat

Summarise Marks in Every Neighbourhood in a Point Pattern
pcfcross.inhom

Inhomogeneous Multitype Pair Correlation Function (Cross-Type)
compatible

Test Whether Objects Are Compatible
distmap.ppp

Distance Map of Point Pattern
BadGey

Hybrid Geyer Point Process Model
heather

Diggle's Heather Data
Kcross.inhom

Inhomogeneous Cross K Function
logLik.ppm

Log Likelihood and AIC for Point Process Model
cauchy.estpcf

Fit the Neyman-Scott cluster process with Cauchy kernel
kppm

Fit Cluster or Cox Point Process Model
Emark

Diagnostics for random marking
envelope.pp3

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

Collapse Several Function Tables into One
bw.stoyan

Stoyan's Rule of Thumb for Bandwidth Selection
G3est

Nearest Neighbour Distance Distribution Function of a Three-Dimensional Point Pattern
anova.lppm

ANOVA for Fitted Point Process Models on Linear Network
inside.owin

Test Whether Points Are Inside A Window
pcfinhom

Inhomogeneous Pair Correlation Function
plot.influence.ppm

Plot Influence Measure
print.owin

Print Brief Details of a Spatial Window
connected.ppp

Connected components of a point pattern
rCauchy

Simulate Neyman-Scott Point Process with Cauchy cluster kernel
methods.slrm

Methods for Spatial Logistic Regression Models
rmhmodel.list

Define Point Process Model for Metropolis-Hastings Simulation.
dclf.test

Diggle-Cressie-Loosmore-Ford and Maximum Absolute Deviation Tests
centroid.owin

Centroid of a window
exactMPLEstrauss

Exact Maximum Pseudolikelihood Estimate for Stationary Strauss Process
commonGrid

Determine A Common Spatial Domain And Pixel Resolution
edges2vees

List Dihedral Triples in a Graph
logLik.slrm

Loglikelihood of Spatial Logistic Regression
diagnose.ppm

Diagnostic Plots for Fitted Point Process Model
rjitter

Random Perturbation of a Point Pattern
cbind.hyperframe

Combine Hyperframes by Rows or by Columns
lut

Lookup Tables
multiplicity.ppp

Count Multiplicity of Duplicate Points
Ldot.inhom

Inhomogeneous Multitype L Dot Function
longleaf

Longleaf Pines Point Pattern
lppm

Fit Point Process Model to Point Pattern on Linear Network
as.fv

Convert Data To Class fv
disc

Circular Window
Jest

Estimate the J-function
addvar

Added Variable Plot for Point Process Model
default.rmhcontrol

Set Default Control Parameters for Metropolis-Hastings Algorithm.
Extract.layered

Extract Subset of a Layered Object
as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame
predict.slrm

Predicted or Fitted Values from Spatial Logistic Regression
plot.colourmap

Plot a Colour Map
as.data.frame.hyperframe

Coerce Hyperframe to Data Frame
bdist.tiles

Distance to Boundary of Window
localKinhom

Inhomogeneous Neighbourhood Density Function
rescale.ppp

Convert Point Pattern to Another Unit of Length
iplot

Point and Click Interface for Displaying Spatial Data
affine.psp

Apply Affine Transformation To Line Segment Pattern
methods.kppm

Methods for Cluster Point Process Models
bw.diggle

Cross Validated Bandwidth Selection for Kernel Density
complement.owin

Take Complement of a Window
pairsat.family

Saturated Pairwise Interaction Point Process Family
rPoissonCluster

Simulate Poisson Cluster Process
envelope

Simulation Envelopes of Summary Function
Poisson

Poisson Point Process Model
predict.kppm

Prediction from a Fitted Cluster Point Process Model
localK

Neighbourhood density function
F3est

Empty Space Function of a Three-Dimensional Point Pattern
distmap.psp

Distance Map of Line Segment Pattern
summary.quad

Summarizing a Quadrature Scheme
pixellate.psp

Convert Line Segment Pattern to Pixel Image
by.ppp

Apply a Function to a Point Pattern Broken Down by Factor
affine.im

Apply Affine Transformation To Pixel Image
fv.object

Function Value Table
delaunay.distance

Distance on Delaunay Triangulation
clarkevans

Clark and Evans Aggregation Index
rpoisppOnLines

Generate Poisson Point Pattern on Line Segments
is.marked

Test Whether Marks Are Present
nndist.pp3

Nearest neighbour distances in three dimensions
plot.plotppm

Plot a plotppm Object Created by plot.ppm
rescale.psp

Convert Line Segment Pattern to Another Unit of Length
parres

Partial Residuals for Point Process Model
methods.layered

Methods for Layered Objects
spatstat-internal

Internal spatstat functions
methods.lppm

Methods for Fitted Point Process Models on a Linear Network
identify.psp

Identify Segments in a Line Segment Pattern
nncross.pp3

Nearest Neighbours Between Two Patterns in 3D
affine.linnet

Apply Geometrical Transformations to a Linear Network
crossdist

Pairwise distances
envelope.envelope

Recompute Envelopes
chicago

Chicago Street Crime Data
rHardcore

Perfect Simulation of the Hardcore Process
affine.ppp

Apply Affine Transformation To Point Pattern
crossing.psp

Crossing Points of Two Line Segment Patterns
dummify

Convert Data to Numeric Values by Constructing Dummy Variables
as.interact

Extract Interaction Structure
Saturated

Saturated Pairwise Interaction model
pairs.im

Scatterplot Matrix for Pixel Images
rMaternI

Simulate Matern Model I
tess

Create a Tessellation
midpoints.psp

Midpoints of Line Segment Pattern
nnfun

Nearest Neighbour Map as a Function
shift.owin

Apply Vector Translation To Window
adaptive.density

Intensity Estimate of Point Pattern Using Tessellation
lurking

Lurking variable plot
Concom

The Connected Component Process Model
superimpose

Superimpose Several Geometric Patterns
psstA

Pseudoscore Diagnostic For Fitted Model against Area-Interaction Alternative
dfbetas.ppm

Parameter influence measure
pixellate.owin

Convert Window to Pixel Image
gorillas

Gorilla Nesting Sites
hybrid.family

Hybrid Interaction Family
quantile.im

Sample Quantiles of Pixel Image
methods.rhohat

Methods for Intensity Functions of Spatial Covariate
nearestsegment

Find Line Segment Nearest to Each Point
hamster

Aherne's hamster tumour data
plot.fasp

Plot a Function Array
union.quad

Union of Data and Dummy Points
pcf3est

Pair Correlation Function of a Three-Dimensional Point Pattern
edge.Trans

Translation Edge Correction
plot.im

Plot a Pixel Image
Kest.fft

K-function using FFT
methods.pp3

Methods for three-dimensional point patterns
as.psp

Convert Data To Class psp
convolve.im

Convolution of Pixel Images
convexhull.xy

Convex Hull of Points
as.ppm

Extract Fitted Point Process Model
pointsOnLines

Place Points Evenly Along Specified Lines
inforder.family

Infinite Order Interaction Family
volume

Volume of an Object
spatstat.options

Internal Options in Spatstat Package
pcf.fasp

Pair Correlation Function obtained from array of K functions
Triplets

The Triplet Point Process Model
eem

Exponential Energy Marks
plot.owin

Plot a Spatial Window
suffstat

Sufficient Statistic of Point Process Model
print.im

Print Brief Details of an Image
npoints

Number of Points in a Point Pattern
istat

Point and Click Interface for Exploratory Analysis of Point Pattern
which.max.im

Identify Pixelwise Maximum of Several Pixel Images
rsyst

Simulate systematic random point pattern
Kdot.inhom

Inhomogeneous Multitype K Dot Function
simulate.kppm

Simulate a Fitted Cluster Point Process Model
concatxy

Concatenate x,y Coordinate Vectors
methods.rho2hat

Methods for Intensity Functions of Two Spatial Covariates
urkiola

Urkiola Woods Point Pattern
discpartarea

Area of Part of Disc
chorley

Chorley-Ribble Cancer Data
bounding.box.xy

Convex Hull of Points
Extract.owin

Extract Subset of Window
rotate.im

Rotate a Pixel Image
pairdist.ppx

Pairwise Distances in Any Dimensions
rescale.owin

Convert Window to Another Unit of Length
crossdist.lpp

Pairwise distances between two point patterns on a linear network
rpoispp

Generate Poisson Point Pattern
Strauss

The Strauss Point Process Model
cauchy.estK

Fit the Neyman-Scott cluster process with Cauchy kernel
plot.ppp

plot a Spatial Point Pattern
rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.
pool.rat

Pool Data from Several Ratio Objects
expand.owin

Apply Expansion Rule
plot.bermantest

Plot Result of Berman Test
sharpen

Data Sharpening of Point Pattern
plot.linnet

Plot a linear network
ppp.object

Class of Point Patterns
rhohat

Smoothing Estimate of Covariate Transformation
rgbim

Create Colour-Valued Pixel Image
rNeymanScott

Simulate Neyman-Scott Process
bei

Tropical rain forest trees
Extract.ppp

Extract or Replace Subset of Point Pattern
affine

Apply Affine Transformation
diameter

Diameter of an Object
matclust.estK

Fit the Matern Cluster Point Process by Minimum Contrast
markcorr

Mark Correlation Function
rescale

Convert dataset to another unit of length
vargamma.estpcf

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

Fit a Log-Gaussian Cox Point Process by Minimum Contrast
compatible.im

Test Whether Pixel Images Are Compatible
ewcdf

Weighted Empirical Cumulative Distribution Function
zapsmall.im

Rounding of Pixel Values
Extract.lpp

Extract Subset of Point Pattern on Linear Network
MultiHard

The Multitype Hard Core Point Process Model
predict.lppm

Predict Point Process Model on Linear Network
quad.ppm

Extract Quadrature Scheme Used to Fit a Point Process Model
timed

Record the Computation Time
plot.kppm

Plot a fitted cluster point process
pcf.ppp

Pair Correlation Function of Point Pattern
rmhmodel.ppm

Interpret Fitted Model for Metropolis-Hastings Simulation.
fv

Create a Function Value Table
rmhcontrol

Set Control Parameters for Metropolis-Hastings Algorithm.
trim.rectangle

Cut margins from rectangle
plot.fv

Plot Function Values
model.images

Compute Images of Constructed Covariates
pcfcross

Multitype pair correlation function (cross-type)
Kdot

Multitype K Function (i-to-any)
methods.fii

Methods for Fitted Interactions
plot.pp3

Plot a three-dimensional point pattern
model.depends

Identify Covariates Involved in each Model Term
Ginhom

Inhomogeneous Nearest Neighbour Function
Kest

K-function
scan.test

Spatial Scan Test
scaletointerval

Rescale Data to Lie Between Specified Limits
circumradius

Circumradius and Diameter of a Linear Network
persp.im

Perspective Plot of Pixel Image
vcov.slrm

Variance-Covariance Matrix for a Fitted Spatial Logistic Regression
residualspaper

Data and Code From JRSS Discussion Paper on Residuals
rLGCP

Simulate Log-Gaussian Cox Process
scanpp

Read Point Pattern From Data File
closing

Morphological Closing
dirichlet.weights

Compute Quadrature Weights Based on Dirichlet Tessellation
OrdThresh

Ord's Interaction model
intensity

Intensity of a Dataset or a Model
split.ppp

Divide Point Pattern into Sub-patterns
vcov.kppm

Variance-Covariance Matrix for a Fitted Cluster Point Process Model
tile.areas

Compute Areas of Tiles in a Tessellation
methods.linnet

Methods for Linear Networks
Gdot

Multitype Nearest Neighbour Distance Function (i-to-any)
intensity.ppp

Empirical Intensity of Point Pattern
nnwhich.pp3

Nearest neighbours in three dimensions
lansing

Lansing Woods Point Pattern
runiflpp

Uniform Random Points on a Linear Network
discretise

Safely Convert Point Pattern Window to Binary Mask
dilated.areas

Areas of Morphological Dilations
MultiStrauss

The Multitype Strauss Point Process Model
update.ppm

Update a Fitted Point Process Model
miplot

Morishita Index Plot
is.ppp

Test Whether An Object Is A Point Pattern
formula.fv

Extract or Change the Plot Formula for a Function Value Table
as.data.frame.ppp

Coerce Point Pattern to a Data Frame
summary.ppm

Summarizing a Fitted Point Process Model
gpc2owin

Convert Polygonal Region into Different Format
corners

Corners of a rectangle
ganglia

Beta Ganglion Cells in Cat Retina, Old Version
rpoint

Generate N Random Points
linearpcfinhom

Inhomogeneous Linear Pair Correlation Function
selfcrossing.psp

Crossing Points in a Line Segment Pattern
nbfires

Point Patterns of New Brunswick Forest Fires
redwoodfull

California Redwoods Point Pattern (Entire Dataset)
rpoislinetess

Poisson Line Tessellation
is.ppm

Test Whether An Object Is A Fitted Point Process Model
Extract.listof

Extract or Replace Subset of a List of Things
linearpcf

Linear Pair Correlation Function
runifdisc

Generate N Uniform Random Points in a Disc
clarkevans.test

Clark and Evans Test
Extract.quad

Subset of Quadrature Scheme
is.convex

Test Whether a Window is Convex
print.quad

Print a Quadrature Scheme
rat

Ratio object
thomas.estpcf

Fit the Thomas Point Process by Minimum Contrast
rshift

Random Shift
as.tess

Convert Data To Tessellation
rcellnumber

Generate Random Numbers of Points for Cell Process
as.matrix.im

Convert Pixel Image to Matrix or Array
Extract.msr

Extract Subset of Signed or Vector Measure
nnwhich.ppx

Nearest Neighbours in Any Dimensions
smooth.ppp

Spatial smoothing of observations at irregular points
rmpoispp

Generate Multitype Poisson Point Pattern
ponderosa

Ponderosa Pine Tree Point Pattern
print.ppm

Print a Fitted Point Process Model
npfun

Dummy Function Returns Number of Points
valid.ppm

Check Whether Point Process Model is Valid
nearest.raster.point

Find Pixel Nearest to a Given Point
simplify.owin

Approximate a Polygon by a Simpler Polygon
tweak.colourmap

Change Colour Values in a Colour Map
plot.linim

Plot Pixel Image on Linear Network
envelope.lpp

Envelope for Point Patterns on Linear Network
transect.im

Pixel Values Along a Transect
opening

Morphological Opening
latest.news

Print News About Latest Version of Package
is.lpp

Test Whether An Object Is A Point Pattern on a Linear Network
shift.ppp

Apply Vector Translation To Point Pattern
vertices

Vertices of a Window
bronzefilter

Bronze gradient filter data
append.psp

Combine Two Line Segment Patterns
distcdf

Distribution Function of Interpoint Distance
effectfun

Compute Fitted Effect of a Spatial Covariate in a Point Process Model
smooth.msr

Smooth a Signed or Vector-Valued Measure
methods.boxx

Methods for Multi-Dimensional Box
sessionLibs

Print Names and Version Numbers of Libraries Loaded
Replace.im

Reset Values in Subset of Image
applynbd

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

Summary of a Line Segment Pattern Dataset
solutionset

Evaluate Logical Expression Involving Pixel Images and Return Region Where Expression is True
identify.ppp

Identify Points in a Point Pattern
pcfdot

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

Cells in Gastric Mucosa
shift.psp

Apply Vector Translation To Line Segment Pattern
spruces

Spruces Point Pattern
rVarGamma

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

Inhomogeneous J-function
delaunay

Delaunay Triangulation of Point Pattern
plot.msr

Plot a Signed or Vector-Valued Measure
bdist.pixels

Distance to Boundary of Window
split.im

Divide Image Into Sub-images
eroded.areas

Areas of Morphological Erosions
finpines

Pine saplings in Finland.
reduced.sample

Reduced Sample Estimator using Histogram Data
dummy.ppm

Extract Dummy Points Used to Fit a Point Process Model
is.im

Test Whether An Object Is A Pixel Image
owin

Create a Window
mincontrast

Method of Minimum Contrast
ppm

Fit Point Process Model to Data
is.subset.owin

Determine Whether One Window is Contained In Another
setcov

Set Covariance of a Window
matchingdist

Distance for a Point Pattern Matching
thomas.estK

Fit the Thomas Point Process by Minimum Contrast
methods.box3

Methods for Three-Dimensional Box
spatstat-deprecated

Deprecated spatstat functions
psp.object

Class of Line Segment Patterns
round.ppp

Apply Numerical Rounding to Spatial Coordinates
nztrees

New Zealand Trees Point Pattern
quadrat.test.splitppp

Dispersion Test of CSR for Split Point Pattern Based on Quadrat Counts
simulate.slrm

Simulate a Fitted Spatial Logistic Regression Model
rDGS

Perfect Simulation of the Diggle-Gates-Stibbard Process
edge.Ripley

Ripley's Isotropic Edge Correction
pixelquad

Quadrature Scheme Based on Pixel Grid
qqplot.ppm

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

Name for Unit of Length
lpp

Create Point Pattern on Linear Network
Extract.fv

Extract Subset of Function Values
paracou

Kimboto trees at Paracou, French Guiana
bw.frac

Bandwidth Selection Based on Window Geometry
as.hyperframe

Convert Data to Hyperframe
dclf.progress

Progress Plot of Test of Spatial Pattern
bounding.box

Bounding Box of a Window or Point Pattern
model.matrix.slrm

Extract Design Matrix from Spatial Logistic Regression Model
rpoislpp

Poisson Point Process on a Linear Network
rmpoint

Generate N Random Multitype Points
Hybrid

Hybrid Interaction Point Process Model
crossdist.ppx

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

Plot a List of Point Patterns
sumouter

Compute Quadratic Forms
as.function.fv

Convert Function Value Table to Function
funxy

Spatial Function Class
humberside

Humberside Data on Childhood Leukaemia and Lymphoma
marks.psp

Marks of a Line Segment Pattern
pcf

Pair Correlation Function
layerplotargs

Extract or Replace the Plot Arguments of a Layered Object
periodify

Make Periodic Copies of a Spatial Pattern
markconnect

Mark Connection Function
ppx

Multidimensional Space-Time Point Pattern
nnwhich

Nearest neighbour
nncross

Nearest Neighbours Between Two Patterns
is.rectangle

Determine Type of Window
rMaternII

Simulate Matern Model II
with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe
Lest

L-function
distfun

Distance Map as a Function
pool

Pool Data
pppdist

Distance Between Two Point Patterns
runifpoint

Generate N Uniform Random Points
waka

Trees in Waka national park
quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern
layered

Create List of Plotting Layers
matclust.estpcf

Fit the Matern Cluster Point Process by Minimum Contrast Using Pair Correlation
ord.family

Ord Interaction Process Family
plot.ppm

plot a Fitted Point Process Model
imcov

Spatial Covariance of a Pixel Image
deltametric

Delta Metric
incircle

Find Largest Circle Inside Window
bind.fv

Combine Function Value Tables
lineardisc

Compute Disc of Given Radius in Linear Network
simdat

Simulated Point Pattern
shift

Apply Vector Translation
simplenet

Simple Example of Linear Network
update.kppm

Update a Fitted Cluster Point Process Model
nndist

Nearest neighbour distances
pcf.fv

Pair Correlation Function obtained from K Function
rlabel

Random Re-Labelling of Point Pattern
im.object

Class of Images
contour.im

Contour plot of pixel image
progressreport

Print Progress Reports
as.box3

Convert Data to Three-Dimensional Box
formula.ppm

Model Formulae for Gibbs Point Process Models
methods.ppx

Methods for Multidimensional Space-Time Point Patterns
lengths.psp

Lengths of Line Segments
lohboot

Bootstrap Confidence Bands for Summary Function
integral.im

Integral of a Pixel Image
Gest

Nearest Neighbour Distance Function G
quadratcount

Quadrat counting for a point pattern
print.ppp

Print Brief Details of a Point Pattern Dataset
eval.im

Evaluate Expression Involving Pixel Images
rThomas

Simulate Thomas Process
psp

Create a Line Segment Pattern
kaplan.meier

Kaplan-Meier Estimator using Histogram Data
fitted.ppm

Fitted Conditional Intensity for Point Process Model
nnclean

Nearest Neighbour Clutter Removal
gordon

People in Gordon Square
beginner

Print Introduction For Beginners
box3

Three-Dimensional Box
unmark

Remove Marks
summary.owin

Summary of a Spatial Window
is.multitype

Test whether Object is Multitype
varblock

Estimate Variance of Summary Statistic by Subdivision
rDiggleGratton

Perfect Simulation of the Diggle-Gratton Process
coords

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window
linearK

Linear K Function
K3est

K-function of a Three-Dimensional Point Pattern
rMatClust

Simulate Matern Cluster Process
rGaussPoisson

Simulate Gauss-Poisson Process
crossdist.ppp

Pairwise distances between two different point patterns
marktable

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

The Lennard-Jones Potential
mean.im

Maximum, Minimum, Mean, Median, Range or Sum of Pixel Values in an Image
plot.layered

Layered Plot
project.ppm

Force Point Process Model to be Valid
vcov.ppm

Variance-Covariance Matrix for a Fitted Point Process Model
Jdot

Multitype J Function (i-to-any)
as.matrix.owin

Convert Pixel Image to Matrix
ripras

Estimate window from points alone
rho2hat

Smoothed Relative Density of Pairs of Covariate Values
pool.envelope

Pool Data from Several Envelopes
anova.ppm

ANOVA for Fitted Point Process Models
pixellate.ppp

Convert Point Pattern to Pixel Image
shift.im

Apply Vector Translation To Pixel Image
model.frame.ppm

Extract the Variables in a Point Process Model
is.stationary

Recognise Stationary and Poisson Point Process Models
ppm.object

Class of Fitted Point Process Models
rSSI

Simulate Simple Sequential Inhibition
summary.ppp

Summary of a Point Pattern Dataset
rpoispp3

Generate Poisson Point Pattern in Three Dimensions
redwood

California Redwoods Point Pattern (Ripley's Subset)
with.fv

Evaluate an Expression in a Function Table
Softcore

The Soft Core Point Process Model
rshift.psp

Randomly Shift a Line Segment Pattern
is.marked.ppm

Test Whether A Point Process Model is Marked
quadrats

Divide Region into Quadrats
bramblecanes

Hutchings' Bramble Canes data
rotate.psp

Rotate a Line Segment Pattern
distmap.owin

Distance Map of Window
pairwise.family

Pairwise Interaction Process Family
plot.kstest

Plot a Spatial Kolmogorov-Smirnov Test
rpoisline

Generate Poisson Random Line Process
rescue.rectangle

Convert Window Back To Rectangle
quadscheme

Generate a Quadrature Scheme from a Point Pattern
Gfox

Foxall's Distance Functions
marks

Marks of a Point Pattern
levelset

Level Set of a Pixel Image
pairdist.ppp

Pairwise distances
Kcross

Multitype K Function (Cross-type)
diameter.boxx

Geometrical Calculations for Multi-Dimensional Box
tiles

Extract List of Tiles in a Tessellation
nncorr

Nearest-Neighbour Correlation Indices of Marked Point Pattern
update.rmhcontrol

Update Control Parameters of Metropolis-Hastings Algorithm
owin.object

Class owin
angles.psp

Orientation Angles of Line Segments
reflect

Reflect In Origin
plot.quad

plot a Spatial Quadrature Scheme
print.psp

Print Brief Details of a Line Segment Pattern Dataset
pairdist.default

Pairwise distances
linnet

Create a Linear Network
unnormdensity

Weighted kernel smoother
markcorrint

Mark Correlation Integral
Gcom

Model Compensator of Nearest Neighbour Function
profilepl

Profile Maximum Pseudolikelihood
swedishpines

Swedish Pines Point Pattern
methods.units

Methods for Units
vargamma.estK

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

Fry Plot of Point Pattern
convexhull

Convex Hull
rpoisppx

Generate Poisson Point Pattern in Any Dimensions
rknn

Theoretical Distribution of Nearest Neighbour Distance
runifpoint3

Generate N Uniform Random Points in Three Dimensions
msr

Signed or Vector-Valued Measure
summary.splitppp

Summary of a Split Point Pattern
rcell

Simulate Baddeley-Silverman Cell Process
pairdist.pp3

Pairwise distances in Three Dimensions
copper

Berman-Huntington points and lines data
summary.listof

Summary of a List of Things
Kinhom

Inhomogeneous K-function
as.im

Convert to Pixel Image
rmhexpand

Specify Simulation Window or Expansion Rule
rStrauss

Perfect Simulation of the Strauss Process
boxx

Multi-Dimensional Box
clusterset

Allard-Fraley Estimator of Cluster Feature
amacrine

Hughes' Amacrine Cell Data
rmhmodel

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

Extract or Replace Sub-Patterns
ppp

Create a Point Pattern
endpoints.psp

Endpoints of Line Segment Pattern
im

Create a Pixel Image Object
rthin

Random Thinning
spokes

Spokes pattern of dummy points
LambertW

Lambert's W Function
crossdist.psp

Pairwise distances between two different line segment patterns
ants

Harkness-Isham ants' nests data
slrm

Spatial Logistic Regression
rotate

Rotate
Hest

Spherical Contact Distribution Function
predict.ppm

Prediction from a Fitted Point Process Model
runifpointOnLines

Generate N Uniform Random Points On Line Segments
markvario

Mark Variogram
nndist.ppx

Nearest Neighbour Distances in Any Dimensions
as.owin

Convert Data To Class owin
rstrat

Simulate Stratified Random Point Pattern
contour.listof

Plot a List of Things
split.ppx

Divide Multidimensional Point Pattern into Sub-patterns
pp3

Three Dimensional Point Pattern
shapley

Galaxies in the Shapley Supercluster
as.mask

Pixel Image Approximation of a Window
DiggleGratton

Diggle-Gratton model
pcfdot.inhom

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

Simulate point patterns using the Metropolis-Hastings algorithm.
quadrat.test

Dispersion Test for Spatial Point Pattern Based on Quadrat Counts
pairdist.psp

Pairwise distances between line segments
rotate.owin

Rotate a Window
psstG

Pseudoscore Diagnostic For Fitted Model against Saturation Alternative
anemones

Beadlet Anemones Data
quadratresample

Resample a Point Pattern by Resampling Quadrats
pool.fasp

Pool Data from Several Function Arrays
perimeter

Perimeter Length of Window
is.empty

Test Whether An Object Is Empty
idw

Inverse-distance weighted smoothing of observations at irregular points
intensity.ppm

Intensity of Fitted Point Process Model
relrisk

Nonparametric Estimate of Spatially-Varying Relative Risk
hist.im

Histogram of Pixel Values in an Image
licence.polygons

Restricted Licence Conditions for Polygon Calculations
clip.infline

Intersect Infinite Straight Lines with a Window
Extract.im

Extract Subset of Image
triplet.family

Triplet Interaction Family
Extract.linnet

Extract Subset of Linear Network
rshift.splitppp

Randomly Shift a List of Point Patterns
stieltjes

Compute Integral of Function Against Cumulative Distribution
osteo

Osteocyte Lacunae Data: Replicated Three-Dimensional Point Patterns
unique.ppp

Extract Unique Points from a Spatial Point Pattern
flipxy

Exchange X and Y Coordinates
raster.x

Cartesian Coordinates for a Pixel Raster
residuals.ppm

Residuals for Fitted Point Process Model
clickppp

Interactively Add Points
plot.hyperframe

Plot Entries in a Hyperframe
whist

Weighted Histogram
pool.quadrattest

Pool Several Quadrat Tests
rounding

Detect Numerical Rounding
japanesepines

Japanese Pines Point Pattern
pairdist

Pairwise distances
Hardcore

The Hard Core Point Process Model
stratrand

Stratified random point pattern
Kmulti

Marked K-Function
plot.psp

plot a Spatial Line Segment Pattern
is.multitype.ppm

Test Whether A Point Process Model is Multitype
model.matrix.ppm

Extract Design Matrix from Point Process Model
plot.tess

Plot a tessellation
density.splitppp

Kernel Smoothed Intensity of Split Point Pattern
rMosaicField

Mosaic Random Field
summary.im

Summarizing a Pixel Image
duplicated.ppp

Determine Duplicated Points in a Spatial Point Pattern
hyperframe

Hyper Data Frame
harmonic

Basis for Harmonic Functions
compatible.fasp

Test Whether Function Arrays Are Compatible
quad.object

Class of Quadrature Schemes
Extract.tess

Extract or Replace Subset of Tessellation
Ord

Generic Ord Interaction model
plot.listof

Plot a List of Things
interp.colourmap

Interpolate smoothly between specified colours
eval.fv

Evaluate Expression Involving Functions
plot.slrm

Plot a Fitted Spatial Logistic Regression
nnmark

Mark of Nearest Neighbour
smooth.fv

Apply Smoothing to Function Values
interp.im

Interpolate a Pixel Image
square

Square Window
rlinegrid

Generate grid of parallel lines with random displacement
rmh.default

Simulate Point Process Models using the Metropolis-Hastings Algorithm.
rotate.ppp

Rotate a Point Pattern
overlap.owin

Compute Area of Overlap
rMosaicSet

Mosaic Random Set
Kscaled

Locally Scaled K-function
murchison

Murchison gold deposits
pairdist.lpp

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

Create Pixel Image on Linear Network
rmhstart

Determine Initial State for Metropolis-Hastings Simulation.
pppmatching.object

Class of Point Matchings
runifpointx

Generate N Uniform Random Points in Any Dimensions
methods.funxy

Methods for Spatial Functions
will.expand

Test Expansion Rule
is.owin

Test Whether An Object Is A Window
pixellate

Convert Spatial Object to Pixel Image
affine.owin

Apply Affine Transformation To Window
Gmulti

Marked Nearest Neighbour Distance Function
project2segment

Move Point To Nearest Line
Kcom

Model Compensator of K Function
rStraussHard

Perfect Simulation of the Strauss-Hardcore Process
nsegments

Number of Line Segments in a Line Segment Pattern
coef.ppm

Coefficients of Fitted Point Process Model
reach

Interaction Distance of a Point Process
psst

Pseudoscore Diagnostic For Fitted Model against General Alternative
scalardilate

Apply Scalar Dilation
spatstat-package

The Spatstat Package
rmh.ppm

Simulate from a Fitted Point Process Model
km.rs

Kaplan-Meier and Reduced Sample Estimator using Histograms
simulate.ppm

Simulate a Fitted Gibbs Point Process Model
rshift.ppp

Randomly Shift a Point Pattern
PairPiece

The Piecewise Constant Pairwise Interaction Point Process Model
erosion

Morphological Erosion
leverage.ppm

Leverage Measure for Spatial Point Process Model
nnmap

K-th Nearest Point Map