spatstat v1.55-0

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Spatial Point Pattern Analysis, Model-Fitting, Simulation, Tests

Comprehensive open-source toolbox for analysing Spatial Point Patterns. Focused mainly on two-dimensional point patterns, including multitype/marked points, in any spatial region. Also supports three-dimensional point patterns, space-time point patterns in any number of dimensions, point patterns on a linear network, and patterns of other geometrical objects. Supports spatial covariate data such as pixel images. Contains over 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, Monte Carlo, Diggle-Cressie-Loosmore-Ford, Dao-Genton, two-stage Monte Carlo) and tests for covariate effects (Cox-Berman-Waller-Lawson, Kolmogorov-Smirnov, ANOVA) are also supported. Parametric models can be fitted to point pattern data using the functions ppm(), kppm(), slrm(), dppm() similar to glm(). Types of models include Poisson, Gibbs and Cox point processes, Neyman-Scott cluster processes, and determinantal point processes. Models may involve dependence on covariates, inter-point interaction, cluster formation and dependence on marks. Models are fitted by maximum likelihood, logistic regression, minimum contrast, and composite likelihood methods. A model can be fitted to a list of point patterns (replicated point pattern data) using the function mppm(). The model can include random effects and fixed effects depending on the experimental design, in addition to all the features listed above. 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.

Functions in spatstat

Name Description
CDF Cumulative Distribution Function From Kernel Density Estimate
Concom The Connected Component Process Model
AreaInter The Area Interaction Point Process Model
BadGey Hybrid Geyer Point Process Model
Emark Diagnostics for random marking
Extract.anylist Extract or Replace Subset of a List of Things
DiggleGatesStibbard Diggle-Gates-Stibbard Point Process Model
DiggleGratton Diggle-Gratton model
Extract.fasp Extract Subset of Function Array
Extract.fv Extract or Replace Subset of Function Values
Extract.leverage.ppm Extract Subset of Leverage Object
Extract.linim Extract Subset of Pixel Image on Linear Network
Extract.linnet Extract Subset of Linear Network
Extract.listof Extract or Replace Subset of a List of Things
Extract.owin Extract Subset of Window
Extract.ppp Extract or Replace Subset of Point Pattern
Extract.quad Subset of Quadrature Scheme
Extract.solist Extract or Replace Subset of a List of Spatial Objects
Extract.influence.ppm Extract Subset of Influence Object
Extract.layered Extract or Replace Subset of a Layered Object
Fest Estimate the Empty Space Function or its Hazard Rate
Fiksel The Fiksel Interaction
Extract.hyperframe Extract or Replace Subset of Hyperframe
Extract.im Extract Subset of Image
Extract.ppx Extract Subset of Multidimensional Point Pattern
Extract.psp Extract Subset of Line Segment Pattern
Gdot Multitype Nearest Neighbour Distance Function (i-to-any)
Gest Nearest Neighbour Distance Function G
Extract.lpp Extract Subset of Point Pattern on Linear Network
Extract.msr Extract Subset of Signed or Vector Measure
Extract.tess Extract or Replace Subset of Tessellation
F3est Empty Space Function of a Three-Dimensional Point Pattern
Hardcore The Hard Core Point Process Model
Extract.splitppp Extract or Replace Sub-Patterns
[.ssf Subset of spatially sampled function
Gcom Model Compensator of Nearest Neighbour Function
Geyer Geyer's Saturation Point Process Model
Gfox Foxall's Distance Functions
Hest Spherical Contact Distribution Function
Jinhom Inhomogeneous J-function
Jmulti Marked J Function
Frame Extract or Change the Containing Rectangle of a Spatial Object
G3est Nearest Neighbour Distance Distribution Function of a Three-Dimensional Point Pattern
Iest Estimate the I-function
Jcross Multitype J Function (i-to-j)
Kcross Multitype K Function (Cross-type)
Kcross.inhom Inhomogeneous Cross K Function
Finhom Inhomogeneous Empty Space Function
FmultiInhom Inhomogeneous Marked F-Function
GmultiInhom Inhomogeneous Marked G-Function
Gres Residual G Function
Jdot Multitype J Function (i-to-any)
Jest Estimate the J-function
Kmeasure Reduced Second Moment Measure
Kmodel K Function or Pair Correlation Function of a Point Process Model
Kmodel.dppm K-function or Pair Correlation Function of a Determinantal Point Process Model
HierHard The Hierarchical Hard Core Point Process Model
HierStrauss The Hierarchical Strauss Point Process Model
HierStraussHard The Hierarchical Strauss Hard Core Point Process Model
Kmulti.inhom Inhomogeneous Marked K-Function
Kres Residual K Function
Gcross Multitype Nearest Neighbour Distance Function (i-to-j)
Ginhom Inhomogeneous Nearest Neighbour Function
Gmulti Marked Nearest Neighbour Distance Function
K3est K-function of a Three-Dimensional Point Pattern
Kcom Model Compensator of K Function
Kest K-function
Kest.fft K-function using FFT
Kmodel.ppm K Function or Pair Correlation Function of Gibbs Point Process model
Kmulti Marked K-Function
Hybrid Hybrid Interaction Point Process Model
Kdot Multitype K Function (i-to-any)
Kdot.inhom Inhomogeneous Multitype K Dot Function
LambertW Lambert's W Function
Lcross Multitype L-function (cross-type)
Smooth.fv Apply Smoothing to Function Values
Smooth.msr Smooth a Signed or Vector-Valued Measure
Window Extract or Change the Window of a Spatial Object
Math.im S3 Group Generic methods for images
Kinhom Inhomogeneous K-function
Kmark Mark-Weighted K Function
Math.linim S3 Group Generic Methods for Images on a Linear Network
Kmodel.kppm K Function or Pair Correlation Function of Cluster Model or Cox model
Lcross.inhom Inhomogeneous Cross Type L Function
Ldot Multitype L-function (i-to-any)
Lest L-function
Linhom L-function
Ord Generic Ord Interaction model
PPversion Transform a Function into its P-P or Q-Q Version
PairPiece The Piecewise Constant Pairwise Interaction Point Process Model
adaptive.density Intensity Estimate of Point Pattern Using Tessellation
WindowOnly Extract Window of Spatial Object
anyNA.im Check Whether Image Contains NA Values
anylist List of Objects
as.function.tess Convert a Tessellation to a Function
add.texture Fill Plot With Texture
affine.tess Apply Geometrical Transformation To Tessellation
allstats Calculate four standard summary functions of a point pattern.
anova.ppm ANOVA for Fitted Point Process Models
anova.slrm Analysis of Deviance for Spatial Logistic Regression Models
areaLoss Difference of Disc Areas
as.box3 Convert Data to Three-Dimensional Box
as.hyperframe Convert Data to Hyperframe
as.hyperframe.ppx Extract coordinates and marks of multidimensional point pattern
as.mask Pixel Image Approximation of a Window
OrdThresh Ord's Interaction model
Saturated Saturated Pairwise Interaction model
Smooth Spatial smoothing of data
Smoothfun.ppp Smooth Interpolation of Marks as a Spatial Function
Softcore The Soft Core Point Process Model
affine.im Apply Affine Transformation To Pixel Image
affine.linnet Apply Geometrical Transformations to a Linear Network
as.mask.psp Convert Line Segment Pattern to Binary Pixel Mask
as.psp Convert Data To Class psp
as.rectangle Window Frame
border Border Region of a Window
Math.imlist S3 Group Generic methods for List of Images
Pairwise Generic Pairwise Interaction model
Penttinen Penttinen Interaction
Replace.linim Reset Values in Subset of Image on Linear Network
Kscaled Locally Scaled K-function
Ksector Sector K-function
Ldot.inhom Inhomogeneous Multitype L Dot Function
bounding.box.xy Convex Hull of Points
bw.pcf Cross Validated Bandwidth Selection for Pair Correlation Function
bw.ppl Likelihood Cross Validation Bandwidth Selection for Kernel Density
clusterfit Fit Cluster or Cox Point Process Model via Minimum Contrast
clusterkernel Extract Cluster Offspring Kernel
compatible.im Test Whether Pixel Images Are Compatible
compileK Generic Calculation of K Function and Pair Correlation Function
convexhull Convex Hull
MinkowskiSum Minkowski Sum of Windows
MultiHard The Multitype Hard Core Point Process Model
MultiStrauss The Multitype Strauss Point Process Model
Poisson Poisson Point Process Model
Replace.im Reset Values in Subset of Image
Strauss The Strauss Point Process Model
StraussHard The Strauss / Hard Core Point Process Model
SatPiece Piecewise Constant Saturated Pairwise Interaction Point Process Model
Triplets The Triplet Point Process Model
Tstat Third order summary statistic
affine.ppp Apply Affine Transformation To Point Pattern
affine.lpp Apply Geometrical Transformations to Point Pattern on a Linear Network
affine.owin Apply Affine Transformation To Window
alltypes Calculate Summary Statistic for All Types in a Multitype Point Pattern
append.psp Combine Two Line Segment Patterns
applynbd Apply Function to Every Neighbourhood in a Point Pattern
as.data.frame.owin Convert Window to Data Frame
as.data.frame.ppp Coerce Point Pattern to a Data Frame
LennardJones The Lennard-Jones Potential
MultiStraussHard The Multitype/Hard Core Strauss Point Process Model
Ops.msr Arithmetic Operations on Measures
angles.psp Orientation Angles of Line Segments
as.boxx Convert Data to Multi-Dimensional Box
as.data.frame.envelope Coerce Envelope to Data Frame
as.fv Convert Data To Class fv
as.linim Convert to Pixel Image on Linear Network
as.linnet.linim Extract Linear Network from Data on a Linear Network
as.function.leverage.ppm Convert Leverage Object to Function of Coordinates
as.function.owin Convert Window to Indicator Function
as.layered Convert Data To Layered Object
as.linfun Convert Data to a Function on a Linear Network
auc Area Under ROC Curve
bc.ppm Bias Correction for Fitted Model
branchlabelfun Tree Branch Membership Labelling Function
as.ppm Extract Fitted Point Process Model
as.ppp Convert Data To Class ppp
berman.test Berman's Tests for Point Process Model
bind.fv Combine Function Value Tables
bits.test Balanced Independent Two-Stage Monte Carlo Test
covering Cover Region with Discs
crossdist Pairwise distances
affine.psp Apply Affine Transformation To Line Segment Pattern
area.owin Area of a Window
areaGain Difference of Disc Areas
as.function.fv Convert Function Value Table to Function
as.im Convert to Pixel Image
as.interact Extract Interaction Structure
as.matrix.im Convert Pixel Image to Matrix or Array
convexhull.xy Convex Hull of Points
crossdist.ppx Pairwise Distances Between Two Different Multi-Dimensional Point Patterns
crossdist.psp Pairwise distances between two different line segment patterns
dclf.test Diggle-Cressie-Loosmore-Ford and Maximum Absolute Deviation Tests
blur Apply Gaussian Blur to a Pixel Image
bw.diggle Cross Validated Bandwidth Selection for Kernel Density
bw.frac Bandwidth Selection Based on Window Geometry
as.function.im Convert Pixel Image to Function of Coordinates
as.linnet.psp Convert Line Segment Pattern to Linear Network
as.lpp Convert Data to a Point Pattern on a Linear Network
as.solist Convert List of Two-Dimensional Spatial Objects
Smooth.ppp Spatial smoothing of observations at irregular points
Smooth.ssf Smooth a Spatially Sampled Function
addvar Added Variable Plot for Point Process Model
affine Apply Affine Transformation
as.matrix.owin Convert Pixel Image to Matrix
bdist.tiles Distance to Boundary of Window
beachcolours Create Colour Scheme for a Range of Numbers
boundingbox Bounding Box of a Window, Image, or Point Pattern
boundingcircle Smallest Enclosing Circle
cbind.hyperframe Combine Hyperframes by Rows or by Columns
cdf.test Spatial Distribution Test for Point Pattern or Point Process Model
clickbox Interactively Define a Rectangle
default.dummy Generate a Default Pattern of Dummy Points
density.ppp Kernel Smoothed Intensity of Point Pattern
density.psp Kernel Smoothing of Line Segment Pattern or Linear Network
anova.lppm ANOVA for Fitted Point Process Models on Linear Network
anova.mppm ANOVA for Fitted Point Process Models for Replicated Patterns
as.data.frame.hyperframe Coerce Hyperframe to Data Frame
as.tess Convert Data To Tessellation
beginner Print Introduction For Beginners
begins Check Start of Character String
box3 Three-Dimensional Box
boxx Multi-Dimensional Box
clarkevans Clark and Evans Aggregation Index
clarkevans.test Clark and Evans Test
domain Extract the Domain of any Spatial Object
dppBessel Bessel Type Determinantal Point Process Model
dppapproxkernel Approximate Determinantal Point Process Kernel
bugfixes List Recent Bug Fixes
by.im Apply Function to Image Broken Down by Factor
by.ppp Apply a Function to a Point Pattern Broken Down by Factor
cdf.test.mppm Spatial Distribution Test for Multiple Point Process Model
clickdist Interactively Measure Distance
clusterradius Compute or Extract Effective Range of Cluster Kernel
clusterset Allard-Fraley Estimator of Cluster Feature
clickjoin Interactively join vertices on a plot
clicklpp Interactively Add Points on a Linear Network
contour.im Contour plot of pixel image
contour.imlist Array of Contour Plots
bw.relrisk Cross Validated Bandwidth Selection for Relative Risk Estimation
bw.scott Scott's Rule for Bandwidth Selection for Kernel Density
chop.tess Subdivide a Window or Tessellation using a Set of Lines
circdensity Density Estimation for Circular Data
colourtools Convert and Compare Colours in Different Formats
commonGrid Determine A Common Spatial Domain And Pixel Resolution
coords Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
corners Corners of a rectangle
dclf.progress Progress Plot of Test of Spatial Pattern
dclf.sigtrace Significance Trace of Cressie-Loosmore-Ford or Maximum Absolute Deviation Test
dg.envelope Global Envelopes for Dao-Genton Test
clip.infline Intersect Infinite Straight Lines with a Window
closepairs Close Pairs of Points
coef.slrm Coefficients of Fitted Spatial Logistic Regression Model
as.data.frame.im Convert Pixel Image to Data Frame
as.data.frame.psp Coerce Line Segment Pattern to a Data Frame
as.data.frame.tess Convert Tessellation to Data Frame
as.owin Convert Data To Class owin
convexify Weil's Convexifying Operation
convolve.im Convolution of Pixel Images
cut.ppp Classify Points in a Point Pattern
data.ppm Extract Original Data from a Fitted Point Process Model
collapse.fv Collapse Several Function Tables into One
compareFit Residual Diagnostics for Multiple Fitted Models
compatible Test Whether Objects Are Compatible
connected Connected components
connected.linnet Connected Components of a Linear Network
crossdist.default Pairwise distances between two different sets of points
crossdist.lpp Pairwise distances between two point patterns on a linear network
crossing.linnet Crossing Points between Linear Network and Other Lines
crossing.psp Crossing Points of Two Line Segment Patterns
as.polygonal Convert a Window to a Polygonal Window
bdist.pixels Distance to Boundary of Window
bdist.points Distance to Boundary of Window
centroid.owin Centroid of a window
closepairs.pp3 Close Pairs of Points in 3 Dimensions
closetriples Close Triples of Points
delaunay Delaunay Triangulation of Point Pattern
delaunayDistance Distance on Delaunay Triangulation
diameter.linnet Diameter and Bounding Radius of a Linear Network
diameter.owin Diameter of a Window
default.rmhcontrol Set Default Control Parameters for Metropolis-Hastings Algorithm.
detpointprocfamilyfun Construct a New Determinantal Point Process Model Family Function
dfbetas.ppm Parameter influence measure
closing Morphological Closing
clusterfield Field of clusters
colourmap Colour Lookup Tables
colouroutputs Extract or Assign Colour Values in a Colour Map
default.expand Default Expansion Rule for Simulation of Model
dppapproxpcf Approximate Pair Correlation Function of Determinantal Point Process Model
eem Exponential Energy Marks
effectfun Compute Fitted Effect of a Spatial Covariate in a Point Process Model
eval.im Evaluate Expression Involving Pixel Images
bw.smoothppp Cross Validated Bandwidth Selection for Spatial Smoothing
bw.stoyan Stoyan's Rule of Thumb for Bandwidth Selection
cauchy.estK Fit the Neyman-Scott cluster process with Cauchy kernel
cauchy.estpcf Fit the Neyman-Scott cluster process with Cauchy kernel
eval.linim Evaluate Expression Involving Pixel Images on Linear Network
fitted.ppm Fitted Conditional Intensity for Point Process Model
fitted.slrm Fitted Probabilities for Spatial Logistic Regression
clickpoly Interactively Define a Polygon
clickppp Interactively Add Points
coef.mppm Coefficients of Point Process Model Fitted to Multiple Point Patterns
diagnose.ppm Diagnostic Plots for Fitted Point Process Model
diameter Diameter of an Object
dirichletVertices Vertices and Edges of Dirichlet Tessellation
dirichletWeights Compute Quadrature Weights Based on Dirichlet Tessellation
distfun.lpp Distance Map on Linear Network
distmap Distance Map
dppeigen Internal function calculating eig and index
dppkernel Extract Kernel from Determinantal Point Process Model Object
dummify Convert Data to Numeric Values by Constructing Dummy Variables
fixef.mppm Extract Fixed Effects from Point Process Model
flipxy Exchange X and Y Coordinates
fvnames Abbreviations for Groups of Columns in Function Value Table
gauss.hermite Gauss-Hermite Quadrature Approximation to Expectation for Normal Distribution
coef.ppm Coefficients of Fitted Point Process Model
compatible.fasp Test Whether Function Arrays Are Compatible
compatible.fv Test Whether Function Objects Are Compatible
complement.owin Take Complement of a Window
concatxy Concatenate x,y Coordinate Vectors
crossdist.pp3 Pairwise distances between two different three-dimensional point patterns
dummy.ppm Extract Dummy Points Used to Fit a Point Process Model
envelope Simulation Envelopes of Summary Function
envelope.envelope Recompute Envelopes
erosion Morphological Erosion by a Disc
connected.lpp Connected Components of a Point Pattern on a Linear Network
connected.ppp Connected Components of a Point Pattern
delaunayNetwork Linear Network of Delaunay Triangulation or Dirichlet Tessellation
deletebranch Delete or Extract a Branch of a Tree
crossdist.ppp Pairwise distances between two different point patterns
cut.im Convert Pixel Image from Numeric to Factor
cut.lpp Classify Points in a Point Pattern on a Network
harmonise.msr Make Measures Compatible
harmonise.owin Make Windows Compatible
identify.psp Identify Segments in a Line Segment Pattern
idw Inverse-distance weighted smoothing of observations at irregular points
density.splitppp Kernel Smoothed Intensity of Split Point Pattern
deriv.fv Calculate Derivative of Function Values
diameter.box3 Geometrical Calculations for Three-Dimensional Box
diameter.boxx Geometrical Calculations for Multi-Dimensional Box
discretise Safely Convert Point Pattern Window to Binary Mask
discs Union of Discs
insertVertices Insert New Vertices in a Linear Network
inside.boxx Test Whether Points Are Inside A Multidimensional Box
intensity Intensity of a Dataset or a Model
deltametric Delta Metric
density.lpp Kernel Estimate of Intensity on a Linear Network
dg.sigtrace Significance Trace of Dao-Genton Test
dg.progress Progress Plot of Dao-Genton Test of Spatial Pattern
dim.detpointprocfamily Dimension of Determinantal Point Process Model
dimhat Estimate Dimension of Central Subspace
disc Circular Window
erosionAny Morphological Erosion of Windows
has.close Check Whether Points Have Close Neighbours
headtail First or Last Part of a Spatial Pattern
discpartarea Area of Part of Disc
distmap.psp Distance Map of Line Segment Pattern
divide.linnet Divide Linear Network at Cut Points
dkernel Kernel distributions and random generation
dmixpois Mixed Poisson Distribution
dppCauchy Generalized Cauchy Determinantal Point Process Model
dppMatern Whittle-Matern Determinantal Point Process Model
dppPowerExp Power Exponential Spectral Determinantal Point Process Model
edges2triangles List Triangles in a Graph
edges2vees List Dihedral Triples in a Graph
intensity.dppm Intensity of Determinantal Point Process Model
is.dppm Recognise Fitted Determinantal Point Process Models
is.empty Test Whether An Object Is Empty
im.object Class of Images
imcov Spatial Covariance of a Pixel Image
increment.fv Increments of a Function
infline Infinite Straight Lines
dg.test Dao-Genton Adjusted Goodness-Of-Fit Test
dilated.areas Areas of Morphological Dilations
dilation Morphological Dilation
distcdf Distribution Function of Interpoint Distance
intensity.ppp Empirical Intensity of Point Pattern
intensity.ppx Intensity of a Multidimensional Space-Time Point Pattern
is.connected.ppp Determine Whether a Point Pattern is Connected
dirichlet Dirichlet Tessellation of Point Pattern
duplicated.ppp Determine Duplicated Points in a Spatial Point Pattern
emend.ppm Force Point Process Model to be Valid
endpoints.psp Endpoints of Line Segment Pattern
envelope.lpp Envelope for Point Patterns on Linear Network
edge.Ripley Ripley's Isotropic Edge Correction
fitted.lppm Fitted Intensity for Point Process on Linear Network
fitted.mppm Fitted Conditional Intensity for Multiple Point Process Model
dirichletAreas Compute Areas of Tiles in Dirichlet Tessellation
envelope.pp3 Simulation Envelopes of Summary Function for 3D Point Pattern
fasp.object Function Arrays for Spatial Patterns
fitin.ppm Extract the Interaction from a Fitted Point Process Model
foo Foo is Not a Real Name
distfun Distance Map as a Function
distmap.owin Distance Map of Window
distmap.ppp Distance Map of Point Pattern
formula.fv Extract or Change the Plot Formula for a Function Value Table
harmonise.fv Make Function Tables Compatible
harmonise.im Make Pixel Images Compatible
hopskel Hopkins-Skellam Test
dppm Fit Determinantal Point Process Model
dppparbounds Parameter Bound for a Determinantal Point Process Model
edge.Trans Translation Edge Correction
hybrid.family Hybrid Interaction Family
im Create a Pixel Image Object
im.apply Apply Function Pixelwise to List of Images
influence.ppm Influence Measure for Spatial Point Process Model
inforder.family Infinite Order Interaction Family
formula.ppm Model Formulae for Gibbs Point Process Models
fourierbasis Fourier Basis Functions
harmonic Basis for Harmonic Functions
dppGauss Gaussian Determinantal Point Process Model
dppspecden Extract Spectral Density from Determinantal Point Process Model Object
dppspecdenrange Range of Spectral Density of a Determinantal Point Process Model
edit.hyperframe Invoke Text Editor on Hyperframe
harmonise Make Objects Compatible
hextess Hexagonal Grid or Tessellation
hierpair.family Hierarchical Pairwise Interaction Process Family
improve.kppm Improve Intensity Estimate of Fitted Cluster Point Process Model
interp.colourmap Interpolate smoothly between specified colours
interp.im Interpolate a Pixel Image
levelset Level Set of a Pixel Image
is.convex Test Whether a Window is Convex
is.multitype Test whether Object is Multitype
is.multitype.ppm Test Whether A Point Process Model is Multitype
edit.ppp Invoke Text Editor on Spatial Data
envelopeArray Array of Simulation Envelopes of Summary Function
eroded.areas Areas of Morphological Erosions
ewcdf Weighted Empirical Cumulative Distribution Function
is.multitype.ppp Test Whether A Point Pattern is Multitype
is.owin Test Whether An Object Is A Window
is.ppm Test Whether An Object Is A Fitted Point Process Model
leverage.ppm Leverage Measure for Spatial Point Process Model
linearK Linear K Function
linearKcross Multitype K Function (Cross-type) for Linear Point Pattern
exactMPLEstrauss Exact Maximum Pseudolikelihood Estimate for Stationary Strauss Process
fv Create a Function Value Table
fv.object Function Value Table
is.subset.owin Determine Whether One Window is Contained In Another
istat Point and Click Interface for Exploratory Analysis of Point Pattern
layered Create List of Plotting Layers
layerplotargs Extract or Replace the Plot Arguments of a Layered Object
incircle Find Largest Circle Inside Window
inside.owin Test Whether Points Are Inside A Window
integral.im Integral of a Pixel Image
edges Extract Boundary Edges of a Window.
ellipse Elliptical Window.
emend Force Model to be Valid
eval.fasp Evaluate Expression Involving Function Arrays
eval.fv Evaluate Expression Involving Functions
is.ppp Test Whether An Object Is A Point Pattern
linearmarkconnect Mark Connection Function for Multitype Point Pattern on Linear Network
linearmarkequal Mark Connection Function for Multitype Point Pattern on Linear Network
lineardirichlet Dirichlet Tessellation on a Linear Network
lineardisc Compute Disc of Given Radius in Linear Network
linequad Quadrature Scheme on a Linear Network
grow.boxx Add margins to box in any dimension
grow.rectangle Add margins to rectangle
hist.funxy Histogram of Values of a Spatial Function
hist.im Histogram of Pixel Values in an Image
linfun Function on a Linear Network
lurking.mppm Lurking Variable Plot for Multiple Point Patterns
lut Lookup Tables
expand.owin Apply Expansion Rule
fardist Farthest Distance to Boundary of Window
fryplot Fry Plot of Point Pattern
intensity.psp Empirical Intensity of Line Segment Pattern
intensity.quadratcount Intensity Estimates Using Quadrat Counts
invoke.symbolmap Plot Data Using Graphics Symbol Map
localpcf Local pair correlation function
logLik.dppm Log Likelihood and AIC for Fitted Determinantal Point Process Model
markconnect Mark Connection Function
markcorr Mark Correlation Function
markcrosscorr Mark Cross-Correlation Function
marks Marks of a Point Pattern
measureVariation Positive and Negative Parts, and Variation, of a Measure
linearpcfdot.inhom Inhomogeneous Multitype Pair Correlation Function (Dot-type) for Linear Point Pattern
linearpcfinhom Inhomogeneous Linear Pair Correlation Function
logLik.kppm Log Likelihood and AIC for Fitted Cox or Cluster Point Process Model
funxy Spatial Function Class
gridcentres Rectangular grid of points
hyperframe Hyper Data Frame
identify.ppp Identify Points in a Point Pattern
integral.linim Integral on a Linear Network
methods.box3 Methods for Three-Dimensional Box
methods.boxx Methods for Multi-Dimensional Box
mincontrast Method of Minimum Contrast
intensity.lpp Empirical Intensity of Point Pattern on Linear Network
intensity.ppm Intensity of Fitted Point Process Model
ippm Fit Point Process Model Involving Irregular Trend Parameters
gridweights Compute Quadrature Weights Based on Grid Counts
iplot Point and Click Interface for Displaying Spatial Data
is.lpp Test Whether An Object Is A Point Pattern on a Linear Network
is.marked Test Whether Marks Are Present
kernel.moment Moment of Smoothing Kernel
is.connected Determine Whether an Object is Connected
is.hybrid Test Whether Object is a Hybrid
is.im Test Whether An Object Is A Pixel Image
integral.msr Integral of a Measure
intersect.owin Intersection, Union or Set Subtraction of Windows
intersect.tess Intersection of Two Tessellations
is.marked.ppm Test Whether A Point Process Model is Marked
is.marked.ppp Test Whether A Point Pattern is Marked
kaplan.meier Kaplan-Meier Estimator using Histogram Data
kernel.factor Scale factor for density kernel
layout.boxes Generate a Row or Column Arrangement of Rectangles.
lengths.psp Lengths of Line Segments
lgcp.estK Fit a Log-Gaussian Cox Point Process by Minimum Contrast
mergeLevels Merge Levels of a Factor
methods.linim Methods for Images on a Linear Network
methods.linnet Methods for Linear Networks
methods.ppx Methods for Multidimensional Space-Time Point Patterns
methods.rho2hat Methods for Intensity Functions of Two Spatial Covariates
nncross.pp3 Nearest Neighbours Between Two Patterns in 3D
nndensity.ppp Estimate Intensity of Point Pattern Using Nearest Neighbour Distances
nsegments Number of Line Segments in a Line Segment Pattern
nvertices Count Number of Vertices
pairdist.pp3 Pairwise distances in Three Dimensions
pairdist.ppp Pairwise distances
pairwise.family Pairwise Interaction Process Family
miplot Morisita Index Plot
multiplicity.ppp Count Multiplicity of Duplicate Points
nearest.raster.point Find Pixel Nearest to a Given Point
kernel.squint Integral of Squared Kernel
laslett Laslett's Transform
latest.news Print News About Latest Version of Package
linearKcross.inhom Inhomogeneous multitype K Function (Cross-type) for Linear Point Pattern
is.rectangle Determine Type of Window
is.stationary Recognise Stationary and Poisson Point Process Models
km.rs Kaplan-Meier and Reduced Sample Estimator using Histograms
logLik.mppm Log Likelihood and AIC for Multiple Point Process Model
lppm Fit Point Process Model to Point Pattern on Linear Network
lurking Lurking Variable Plot
lgcp.estpcf Fit a Log-Gaussian Cox Point Process by Minimum Contrast
linearpcf Linear Pair Correlation Function
linearpcfcross Multitype Pair Correlation Function (Cross-type) for Linear Point Pattern
panel.contour Panel Plots using Colour Image or Contour Lines
pcfcross.inhom Inhomogeneous Multitype Pair Correlation Function (Cross-Type)
pcfdot Multitype pair correlation function (i-to-any)
pixellate.ppp Convert Point Pattern to Pixel Image
linearKdot Multitype K Function (Dot-type) for Linear Point Pattern
localK Neighbourhood density function
localKinhom Inhomogeneous Neighbourhood Density Function
markvario Mark Variogram
matchingdist Distance for a Point Pattern Matching
matrixpower Power of a Matrix
pixellate.psp Convert Line Segment Pattern to Pixel Image
plot.colourmap Plot a Colour Map
plot.dppm Plot a fitted determinantal point process
nndist Nearest neighbour distances
nndist.lpp Nearest neighbour distances on a linear network
nnorient Nearest Neighbour Orientation Distribution
nnwhich Nearest neighbour
kppm Fit Cluster or Cox Point Process Model
linearKdot.inhom Inhomogeneous multitype K Function (Dot-type) for Linear Point Pattern
linearKinhom Inhomogeneous Linear K Function
plot.linnet Plot a linear network
plot.lintess Plot a Tessellation on a Linear Network
plot.lppm Plot a Fitted Point Process Model on a Linear Network
linearpcfcross.inhom Inhomogeneous Multitype Pair Correlation Function (Cross-type) for Linear Point Pattern
linearpcfdot Multitype Pair Correlation Function (Dot-type) for Linear Point Pattern
linim Create Pixel Image on Linear Network
logLik.ppm Log Likelihood and AIC for Point Process Model
logLik.slrm Loglikelihood of Spatial Logistic Regression
markstat Summarise Marks in Every Neighbourhood in a Point Pattern
plot.mppm plot a Fitted Multiple Point Process Model
plot.scan.test Plot Result of Scan Test
plot.slrm Plot a Fitted Spatial Logistic Regression
polynom Polynomial in One or Two Variables
lintess Tessellation on a Linear Network
lixellate Subdivide Segments of a Network
lohboot Bootstrap Confidence Bands for Summary Function
lpp Create Point Pattern on Linear Network
marks.psp Marks of a Line Segment Pattern
marks.tess Marks of a Tessellation
npfun Dummy Function Returns Number of Points
npoints Number of Points in a Point Pattern
padimage Pad the Border of a Pixel Image
linnet Create a Linear Network
matclust.estK Fit the Matern Cluster Point Process by Minimum Contrast
matclust.estpcf Fit the Matern Cluster Point Process by Minimum Contrast Using Pair Correlation
pp3 Three Dimensional Point Pattern
ppm Fit Point Process Model to Data
methods.dppm Methods for Determinantal Point Process Models
methods.fii Methods for Fitted Interactions
methods.funxy Methods for Spatial Functions
maxnndist Compute Minimum or Maximum Nearest-Neighbour Distance
methods.lpp Methods for Point Patterns on a Linear Network
methods.lppm Methods for Fitted Point Process Models on a Linear Network
methods.rhohat Methods for Intensity Functions of Spatial Covariate
pool Pool Data
pairdist Pairwise distances
pcf3est Pair Correlation Function of a Three-Dimensional Point Pattern
pcfcross Multitype pair correlation function (cross-type)
pixellate Convert Spatial Object to Pixel Image
mean.im Mean and Median of Pixel Values in an Image
mean.linim Mean, Median, Quantiles of Pixel Values on a Linear Network
methods.layered Methods for Layered Objects
methods.linfun Methods for Functions on Linear Network
methods.ssf Methods for Spatially Sampled Functions
methods.unitname Methods for Units
mppm Fit Point Process Model to Several Point Patterns
methods.kppm Methods for Cluster Point Process Models
model.depends Identify Covariates Involved in each Model Term
model.frame.ppm Extract the Variables in a Point Process Model
nncross Nearest Neighbours Between Two Patterns
marktable Tabulate Marks in Neighbourhood of Every Point in a Point Pattern
methods.objsurf Methods for Objective Function Surfaces
methods.pp3 Methods for three-dimensional point patterns
pppmatching Create a Point Matching
pppmatching.object Class of Point Matchings
print.ppm Print a Fitted Point Process Model
pixellate.owin Convert Window to Pixel Image
plot.bermantest Plot Result of Berman Test
plot.cdftest Plot a Spatial Distribution Test
plot.laslett Plot Laslett Transform
nncross.lpp Nearest Neighbours on a Linear Network
nndist.psp Nearest neighbour distances between line segments
nnfromvertex Nearest Data Point From Each Vertex in a Network
nnwhich.lpp Identify Nearest Neighbours on a Linear Network
nnwhich.pp3 Nearest neighbours in three dimensions
ord.family Ord Interaction Process Family
methods.zclustermodel Methods for Cluster Models
midpoints.psp Midpoints of Line Segment Pattern
model.images Compute Images of Constructed Covariates
overlap.owin Compute Area of Overlap
pairdist.ppx Pairwise Distances in Any Dimensions
pairdist.psp Pairwise distances between line segments
pcfdot.inhom Inhomogeneous Multitype Pair Correlation Function (Type-i-To-Any-Type)
methods.slrm Methods for Spatial Logistic Regression Models
model.matrix.ppm Extract Design Matrix from Point Process Model
model.matrix.slrm Extract Design Matrix from Spatial Logistic Regression Model
print.ppp Print Brief Details of a Point Pattern Dataset
prune.rppm Prune a Recursively Partitioned Point Process Model
pseudoR2 Calculate Pseudo-R-Squared for Point Process Model
qqplot.ppm Q-Q Plot of Residuals from Fitted Point Process Model
nndist.pp3 Nearest neighbour distances in three dimensions
nndist.ppx Nearest Neighbour Distances in Any Dimensions
pairs.linim Scatterplot Matrix for Pixel Images on a Linear Network
plot.layered Layered Plot
plot.ppp plot a Spatial Point Pattern
plot.psp plot a Spatial Line Segment Pattern
pairsat.family Saturated Pairwise Interaction Point Process Family
periodify Make Periodic Copies of a Spatial Pattern
persp.im Perspective Plot of Pixel Image
model.matrix.mppm Extract Design Matrix of Point Process Model for Several Point Patterns
nearestsegment Find Line Segment Nearest to Each Point
nestsplit Nested Split
nnfun Nearest Neighbour Index Map as a Function
points.lpp Draw Points on Existing Plot
pointsOnLines Place Points Evenly Along Specified Lines
pool.anylist Pool Data from a List of Objects
plot.msr Plot a Signed or Vector-Valued Measure
plot.onearrow Plot an Arrow
plot.tess Plot a tessellation
pcfinhom Inhomogeneous Pair Correlation Function
perspPoints Draw Points or Lines on a Surface Viewed in Perspective
pixelcentres Extract Pixel Centres as Point Pattern
msr Signed or Vector-Valued Measure
nnclean Nearest Neighbour Clutter Removal
nncorr Nearest-Neighbour Correlation Indices of Marked Point Pattern
nnmap K-th Nearest Point Map
nnmark Mark of Nearest Neighbour
nnwhich.ppx Nearest Neighbours in Any Dimensions
nobjects Count Number of Geometrical Objects in a Spatial Dataset
quad.object Class of Quadrature Schemes
quadscheme.logi Generate a Logistic Regression Quadrature Scheme from a Point Pattern
quantess Quantile Tessellation
rMaternII Simulate Matern Model II
pool.envelope Pool Data from Several Envelopes
predict.kppm Prediction from a Fitted Cluster Point Process Model
predict.lppm Predict Point Process Model on Linear Network
rMosaicField Mosaic Random Field
rQuasi Generate Quasirandom Point Pattern in Given Window
rSSI Simulate Simple Sequential Inhibition
range.fv Range of Function Values
pairdist.default Pairwise distances
pairdist.lpp Pairwise shortest-path distances between points on a linear network
parameters Extract Model Parameters in Understandable Form
nnfun.lpp Nearest Neighbour Map on Linear Network
objsurf Objective Function Surface
parres Partial Residuals for Point Process Model
pcf Pair Correlation Function
pcf.fasp Pair Correlation Function obtained from array of K functions
plot.textstring Plot a Text String
ppx Multidimensional Space-Time Point Pattern
predict.dppm Prediction from a Fitted Determinantal Point Process Model
opening Morphological Opening
plot.fv Plot Function Values
plot.hyperframe Plot Entries in a Hyperframe
plot.influence.ppm Plot Influence Measure
plot.kppm Plot a fitted cluster point process
plot.listof Plot a List of Things
plot.lpp Plot Point Pattern on Linear Network
plot.solist Plot a List of Spatial Objects
print.im Print Brief Details of an Image
print.owin Print Brief Details of a Spatial Window
project2segment Move Point To Nearest Line
owin Create a Window
owin.object Class owin
pairorient Point Pair Orientation Distribution
psp.object Class of Line Segment Patterns
psst Pseudoscore Diagnostic For Fitted Model against General Alternative
quadratcount Quadrat counting for a point pattern
pixelquad Quadrature Scheme Based on Pixel Grid
plot.anylist Plot a List of Things
plot.leverage.ppm Plot Leverage Function
project2set Find Nearest Point in a Region
psstA Pseudoscore Diagnostic For Fitted Model against Area-Interaction Alternative
psstG Pseudoscore Diagnostic For Fitted Model against Saturation Alternative
quadrats Divide Region into Quadrats
quadratresample Resample a Point Pattern by Resampling Quadrats
quantile.density Quantiles of a Density Estimate
quantile.ewcdf Quantiles of Weighted Empirical Cumulative Distribution Function
plot.linim Plot Pixel Image on Linear Network
plot.pp3 Plot a Three-Dimensional Point Pattern
plot.ppm plot a Fitted Point Process Model
pairs.im Scatterplot Matrix for Pixel Images
pcf.fv Pair Correlation Function obtained from K Function
pcf.ppp Pair Correlation Function of Point Pattern
pcfmulti Marked pair correlation function
quadscheme Generate a Quadrature Scheme from a Point Pattern
rMatClust Simulate Matern Cluster Process
rMaternI Simulate Matern Model I
plot.splitppp Plot a List of Point Patterns
plot.texturemap Plot a Texture Map
plot.yardstick Plot a Yardstick or Scale Bar
raster.x Cartesian Coordinates for a Pixel Raster
relrisk.ppm Parametric Estimate of Spatially-Varying Relative Risk
relrisk.ppp Nonparametric Estimate of Spatially-Varying Relative Risk
perimeter Perimeter Length of Window
plot.envelope Plot a Simulation Envelope
plot.fasp Plot a Function Array
rMosaicSet Mosaic Random Set
rNeymanScott Simulate Neyman-Scott Process
rPenttinen Perfect Simulation of the Penttinen Process
plot.im Plot a Pixel Image
plot.imlist Plot a List of Images
plot.owin Plot a Spatial Window
rescale.ppp Convert Point Pattern to Another Unit of Length
rescale.psp Convert Line Segment Pattern to Another Unit of Length
rjitter Random Perturbation of a Point Pattern
plot.quadrattest Display the result of a quadrat counting test.
plot.rppm Plot a Recursively Partitioned Point Process Model
plot.ssf Plot a Spatially Sampled Function
plot.plotppm Plot a plotppm Object Created by plot.ppm
plot.quad Plot a Spatial Quadrature Scheme
plot.quadratcount Plot Quadrat Counts
pool.quadrattest Pool Several Quadrat Tests
ppm.object Class of Fitted Point Process Models
ppm.ppp Fit Point Process Model to Point Pattern Data
ppp.object Class of Point Patterns
pppdist Distance Between Two Point Patterns
predict.rppm Make Predictions From a Recursively Partitioned Point Process Model
predict.slrm Predicted or Fitted Values from Spatial Logistic Regression
rknn Theoretical Distribution of Nearest Neighbour Distance
rmhstart Determine Initial State for Metropolis-Hastings Simulation.
rmpoint Generate N Random Multitype Points
rotate.ppp Rotate a Point Pattern
rotate.psp Rotate a Line Segment Pattern
rounding Detect Numerical Rounding
rThomas Simulate Thomas Process
rVarGamma Simulate Neyman-Scott Point Process with Variance Gamma cluster kernel
reach Interaction Distance of a Point Process
reach.dppm Range of Interaction for a Determinantal Point Process Model
rpoint Generate N Random Points
rtemper Simulated Annealing or Simulated Tempering for Gibbs Point Processes
rthin Random Thinning
runiflpp Uniform Random Points on a Linear Network
runifpoint Generate N Uniform Random Points
pool.rat Pool Data from Several Ratio Objects
ppmInfluence Leverage and Influence Measures for Spatial Point Process Model
ppp Create a Point Pattern
predict.mppm Prediction for Fitted Multiple Point Process Model
predict.ppm Prediction from a Fitted Point Process Model
rCauchy Simulate Neyman-Scott Point Process with Cauchy cluster kernel
rDGS Perfect Simulation of the Diggle-Gates-Stibbard Process
rHardcore Perfect Simulation of the Hardcore Process
rLGCP Simulate Log-Gaussian Cox Process
segregation.test Test of Spatial Segregation of Types
selfcrossing.psp Crossing Points in a Line Segment Pattern
psib Sibling Probability of Cluster Point Process
psp Create a Line Segment Pattern
quad.ppm Extract Quadrature Scheme Used to Fit a Point Process Model
quadrat.test Dispersion Test for Spatial Point Pattern Based on Quadrat Counts
quantile.im Sample Quantiles of Pixel Image
quasirandom Quasirandom Patterns
split.hyperframe Divide Hyperframe Into Subsets and Reassemble
ragsMultiHard Alternating Gibbs Sampler for Multitype Hard Core Process
ranef.mppm Extract Random Effects from Point Process Model
requireversion Require a Specific Version of a Package
rescale Convert dataset to another unit of length
residuals.kppm Residuals for Fitted Cox or Cluster Point Process Model
residuals.mppm Residuals for Point Process Model Fitted to Multiple Point Patterns
rlabel Random Re-Labelling of Point Pattern
rlinegrid Generate grid of parallel lines with random displacement
rmhcontrol Set Control Parameters for Metropolis-Hastings Algorithm.
rmhexpand Specify Simulation Window or Expansion Rule
roc Receiver Operating Characteristic
rose Rose Diagram
runifpointx Generate N Uniform Random Points in Any Dimensions
reduced.sample Reduced Sample Estimator using Histogram Data
reflect Reflect In Origin
rescue.rectangle Convert Window Back To Rectangle
rStrauss Perfect Simulation of the Strauss Process
rStraussHard Perfect Simulation of the Strauss-Hardcore Process
reload.or.compute Compute Unless Previously Saved
plot.symbolmap Plot a Graphics Symbol Map
pool.fasp Pool Data from Several Function Arrays
pool.fv Pool Several Functions
split.im Divide Image Into Sub-images
stieltjes Compute Integral of Function Against Cumulative Distribution
stienen Stienen Diagram
summary.psp Summary of a Line Segment Pattern Dataset
relrisk Estimate of Spatially-Varying Relative Risk
residuals.ppm Residuals for Fitted Point Process Model
rex Richardson Extrapolation
summary.quad Summarizing a Quadrature Scheme
text.ppp Add Text Labels to Spatial Pattern
texturemap Texture Map
residuals.dppm Residuals for Fitted Determinantal Point Process Model
rpoislpp Poisson Point Process on a Linear Network
rpoispp Generate Poisson Point Pattern
print.psp Print Brief Details of a Line Segment Pattern Dataset
print.quad Print a Quadrature Scheme
profilepl Fit Models by Profile Maximum Pseudolikelihood or AIC
rstrat Simulate Stratified Random Point Pattern
rsyst Simulate systematic random point pattern
run.simplepanel Run Point-and-Click Interface
runifdisc Generate N Uniform Random Points in a Disc
shift Apply Vector Translation
shift.im Apply Vector Translation To Pixel Image
simulate.ppm Simulate a Fitted Gibbs Point Process Model
rgbim Create Colour-Valued Pixel Image
rho2hat Smoothed Relative Density of Pairs of Covariate Values
rmhmodel.list Define Point Process Model for Metropolis-Hastings Simulation.
simulate.slrm Simulate a Fitted Spatial Logistic Regression Model
spatstat-package The Spatstat Package
spatstat.options Internal Options in Spatstat Package
progressreport Print Progress Reports
quadrat.test.mppm Chi-Squared Test for Multiple Point Process Model Based on Quadrat Counts
quadrat.test.splitppp Dispersion Test of CSR for Split Point Pattern Based on Quadrat Counts
rDiggleGratton Perfect Simulation of the Diggle-Gratton Process
rGaussPoisson Simulate Gauss-Poisson Process
thomas.estK Fit the Thomas Point Process by Minimum Contrast
thomas.estpcf Fit the Thomas Point Process by Minimum Contrast
unitname Name for Unit of Length
unmark Remove Marks
rPoissonCluster Simulate Poisson Cluster Process
rcellnumber Generate Random Numbers of Points for Cell Process
rdpp Simulation of a Determinantal Point Process
rags Alternating Gibbs Sampler for Multitype Point Processes
ragsAreaInter Alternating Gibbs Sampler for Area-Interaction Process
rat Ratio object
rcell Simulate Baddeley-Silverman Cell Process
rmhmodel.ppm Interpret Fitted Model for Metropolis-Hastings Simulation.
rmpoispp Generate Multitype Poisson Point Pattern
rnoise Random Pixel Noise
regularpolygon Create A Regular Polygon
relevel.im Reorder Levels of a Factor-Valued Image or Pattern
rescale.im Convert Pixel Image to Another Unit of Length
scalardilate Apply Scalar Dilation
setcov Set Covariance of a Window
sharpen Data Sharpening of Point Pattern
shift.psp Apply Vector Translation To Line Segment Pattern
stratrand Stratified random point pattern
studpermu.test Studentised Permutation Test
summary.listof Summary of a List of Things
summary.owin Summary of a Spatial Window
summary.solist Summary of a List of Spatial Objects
summary.splitppp Summary of a Split Point Pattern
textureplot Plot Image or Tessellation Using Texture Fill
thinNetwork Remove Vertices or Segments from a Linear Network
rpoisline Generate Poisson Random Line Process
rpoislinetess Poisson Line Tessellation
rshift Random Shift
rescale.owin Convert Window to Another Unit of Length
rhohat Smoothing Estimate of Intensity as Function of a Covariate
ripras Estimate window from points alone
rshift.ppp Randomly Shift a Point Pattern
scaletointerval Rescale Data to Lie Between Specified Limits
treebranchlabels Label Vertices of a Tree by Branch Membership
treeprune Prune Tree to Given Level
union.quad Union of Data and Dummy Points
unique.ppp Extract Unique Points from a Spatial Point Pattern
rmh.default Simulate Point Process Models using the Metropolis-Hastings Algorithm.
rmh.ppm Simulate from a Fitted Point Process Model
rotate.infline Rotate or Shift Infinite Lines
scan.test Spatial Scan Test
whichhalfplane Test Which Side of Infinite Line a Point Falls On
whist Weighted Histogram
will.expand Test Expansion Rule
update.ppm Update a Fitted Point Process Model
update.rmhcontrol Update Control Parameters of Metropolis-Hastings Algorithm
vertices Vertices of a Window
sidelengths.owin Side Lengths of Enclosing Rectangle of a Window
simulate.lppm Simulate a Fitted Point Process Model on a Linear Network
simulate.mppm Simulate a Point Process Model Fitted to Several Point Patterns
subfits Extract List of Individual Point Process Models
subset.hyperframe Subset of Hyperframe Satisfying A Condition
summary.ppm Summarizing a Fitted Point Process Model
rlpp Random Points on a Linear Network
rmh Simulate point patterns using the Metropolis-Hastings algorithm.
rmhmodel Define Point Process Model for Metropolis-Hastings Simulation.
volume Volume of an Object
with.hyperframe Evaluate an Expression in Each Row of a Hyperframe
with.msr Evaluate Expression Involving Components of a Measure
summary.ppp Summary of a Point Pattern Dataset
superimpose.lpp Superimpose Several Point Patterns on Linear Network
symbolmap Graphics Symbol Map
with.fv Evaluate an Expression in a Function Table
rotate.owin Rotate a Window
rotmean Rotational Average of a Pixel Image
round.ppp Apply Numerical Rounding to Spatial Coordinates
rpoisppx Generate Poisson Point Pattern in Any Dimensions
rmhmodel.default Build Point Process Model for Metropolis-Hastings Simulation.
rotate Rotate
rotate.im Rotate a Pixel Image
selfcut.psp Cut Line Segments Where They Intersect
sessionLibs Print Names and Version Numbers of Libraries Loaded
simplepanel Simple Point-and-Click Interface Panels
simplify.owin Approximate a Polygon by a Simpler Polygon
rpoispp3 Generate Poisson Point Pattern in Three Dimensions
rpoisppOnLines Generate Poisson Point Pattern on Line Segments
rshift.psp Randomly Shift a Line Segment Pattern
rppm Recursively Partitioned Point Process Model
runifpoint3 Generate N Uniform Random Points in Three Dimensions
runifpointOnLines Generate N Uniform Random Points On Line Segments
sdr Sufficient Dimension Reduction
sdrPredict Compute Predictors from Sufficient Dimension Reduction
shift.owin Apply Vector Translation To Window
rshift.splitppp Randomly Shift a List of Point Patterns
scanLRTS Likelihood Ratio Test Statistic for Scan Test
scanpp Read Point Pattern From Data File
simulate.dppm Simulation of Determinantal Point Process Model
simulate.kppm Simulate a Fitted Cluster Point Process Model
slrm Spatial Logistic Regression
shift.ppp Apply Vector Translation To Point Pattern
spatdim Spatial Dimension of a Dataset
spatialcdf Spatial Cumulative Distribution Function
solist List of Two-Dimensional Spatial Objects
solutionset Evaluate Logical Expression Involving Pixel Images and Return Region Where Expression is True
split.ppx Divide Multidimensional Point Pattern into Sub-patterns
spokes Spokes pattern of dummy points
spatstat-deprecated Deprecated spatstat functions
spatstat-internal Internal spatstat functions
subset.ppp Subset of Point Pattern Satisfying A Condition
subspaceDistance Distance Between Linear Spaces
summary.im Summarizing a Pixel Image
summary.kppm Summarizing a Fitted Cox or Cluster Point Process Model
tileindex Determine Which Tile Contains Each Given Point
tilenames Names of Tiles in a Tessellation
triangulate.owin Decompose Window into Triangles
solapply Apply a Function Over a List and Obtain a List of Objects
split.msr Divide a Measure into Parts
split.ppp Divide Point Pattern into Sub-patterns
suffstat Sufficient Statistic of Point Process Model
summary.anylist Summary of a List of Things
sumouter Compute Quadratic Forms
tiles Extract List of Tiles in a Tessellation
tiles.empty Check For Empty Tiles in a Tessellation
transect.im Pixel Values Along a Transect
transmat Convert Pixel Array Between Different Conventions
update.interact Update an Interpoint Interaction
square Square Window
ssf Spatially Sampled Function
tess Create a Tessellation
test.crossing.psp Check Whether Segments Cross
timeTaken Extract the Total Computation Time
trim.rectangle Cut margins from rectangle
unnormdensity Weighted kernel smoother
unstack.msr Separate a Vector Measure into its Scalar Components
update.symbolmap Update a Graphics Symbol Map.
timed Record the Computation Time
unstack.ppp Separate Multiple Columns of Marks
update.detpointprocfamily Set Parameter Values in a Determinantal Point Process Model
vargamma.estK Fit the Neyman-Scott Cluster Point Process with Variance Gamma kernel
vcov.kppm Variance-Covariance Matrix for a Fitted Cluster Point Process Model
update.kppm Update a Fitted Cluster Point Process Model
varblock Estimate Variance of Summary Statistic by Subdivision
varcount Predicted Variance of the Number of Points
vcov.ppm Variance-Covariance Matrix for a Fitted Point Process Model
vcov.slrm Variance-Covariance Matrix for a Fitted Spatial Logistic Regression
with.ssf Evaluate Expression in a Spatially Sampled Function
vargamma.estpcf Fit the Neyman-Scott Cluster Point Process with Variance Gamma kernel
superimpose Superimpose Several Geometric Patterns
tile.areas Compute Areas of Tiles in a Tessellation
tile.lengths Compute Lengths of Tiles in a Tessellation on a Network
valid Check Whether Point Process Model is Valid
weighted.median Weighted Median, Quantiles or Variance
where.max Find Location of Maximum in a Pixel Image
yardstick Text, Arrow or Scale Bar in a Diagram
zclustermodel Cluster Point Process Model
vcov.mppm Calculate Variance-Covariance Matrix for Fitted Multiple Point Process Model
zapsmall.im Rounding of Pixel Values
triplet.family Triplet Interaction Family
tweak.colourmap Change Colour Values in a Colour Map
valid.detpointprocfamily Check Validity of a Determinantal Point Process Model
valid.ppm Check Whether Point Process Model is Valid
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datasets.Rnw
getstart.Rnw
hexagon.eps
hexagon.pdf
irregpoly.eps
irregpoly.pdf
replicated.Rnw
shapefiles.Rnw
updates.Rnw
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