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spatstat (version 1.39-1)

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, space-time point patterns in any number of dimensions, and point patterns on a linear network. Contains about 2000 functions for plotting spatial data, exploratory data analysis, model-fitting, simulation, spatial sampling, model diagnostics, and formal inference. Data types include point patterns, line segment patterns, spatial windows, pixel images, tessellations, and linear networks. Exploratory methods include quadrat counts, K-functions and their simulation envelopes, nearest neighbour distance and empty space statistics, Fry plots, pair correlation function, kernel smoothed intensity, relative risk estimation with cross-validated bandwidth selection, mark correlation functions, segregation indices, mark dependence diagnostics, and kernel estimates of covariate effects. Formal hypothesis tests of random pattern (chi-squared, Kolmogorov-Smirnov, Diggle-Cressie-Loosmore-Ford, Dao-Genton) and tests for covariate effects (Cox-Berman-Waller-Lawson, Kolmogorov-Smirnov) are also supported. Parametric models can be fitted to point pattern data using the functions ppm, kppm, slrm similar to glm. Types of models include Poisson, Gibbs, Cox and cluster point processes. Models may involve dependence on covariates, interpoint interaction, cluster formation and dependence on marks. Models are fitted by maximum likelihood, logistic regression, minimum contrast, and composite likelihood methods. Fitted point process models can be simulated, automatically. Formal hypothesis tests of a fitted model are supported (likelihood ratio test, analysis of deviance, Monte Carlo tests) along with basic tools for model selection (stepwise, AIC). Tools for validating the fitted model include simulation envelopes, residuals, residual plots and Q-Q plots, leverage and influence diagnostics, partial residuals, and added variable plots.

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Install

install.packages('spatstat')

Monthly Downloads

16,590

Version

1.39-1

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

October 24th, 2014

Functions in spatstat (1.39-1)

Hybrid Interaction Point Process Model

Extract Subset of Function Array

Extract Subset of Linear Network

Multitype K Function (i-to-any)

The Area Interaction Point Process Model

Extract or Replace Subset of Function Values

K Function or Pair Correlation Function of a Point Process Model

Marked K-Function

Extract Subset of Image

Extract.splitppp

Extract or Replace Sub-Patterns

Difference of Disc Areas

Geyer's Saturation Point Process Model

Extract or Replace Subset of a List of Spatial Objest

Extract or Change the Containing Rectangle of a Spatial Object

Diggle-Gratton model

Extract or Replace Subset of Tessellation

The Fiksel Interaction

Subset of Quadrature Scheme

Piecewise Constant Saturated Pairwise Interaction Point Process Model

Multitype J Function (i-to-any)

Empty Space Function of a Three-Dimensional Point Pattern

Marked Nearest Neighbour Distance Function

The Multitype Hard Core Point Process Model

Inhomogeneous K-function

Multitype J Function (i-to-j)

Inhomogeneous Cross K Function

Inhomogeneous Marked K-Function

Extract Subset of Point Pattern on Linear Network

Extract.anylist

Extract or Replace Subset of a List of Things

Extract.influence.ppm

Extract Subset of Influence Object

Estimate the J-function

Residual K Function

Extract Subset of Signed or Vector Measure

Beadlet Anemones Data

Inhomogeneous Nearest Neighbour Function

Extract Interaction Structure

Foxall's Distance Functions

Diagnostics for random marking

Reset Values in Subset of Image

Apply Affine Transformation

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

Pixel Image Approximation of a Window

Convert Data To Class ppp

Multitype Nearest Neighbour Distance Function (i-to-any)

Fit the Neyman-Scott cluster process with Cauchy kernel

Locally Scaled K-function

K Function or Pair Correlation Function of Gibbs Point Process model

Hybrid Geyer Point Process Model

Extract Subset of Multidimensional Point Pattern

Third order summary statistic

Inhomogeneous Multitype K Dot Function

ANOVA for Fitted Point Process Models

Reduced Second Moment Measure

Extract.layered

Extract Subset of a Layered Object

Model Compensator of K Function

Multitype L-function (i-to-any)

Three-Dimensional Box

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

Inhomogeneous Multitype L Dot Function

Generic Pairwise Interaction model

Added Variable Plot for Point Process Model

Difference of Disc Areas

Distance Map of Point Pattern

Spatial smoothing of observations at irregular points

Hughes' Amacrine Cell Data

Calculate Summary Statistic for All Types in a Multitype Point Pattern

Estimate the I-function

Spatial smoothing of data

Bandwidth Selection Based on Window Geometry

DiggleGatesStibbard

Diggle-Gates-Stibbard Point Process Model

as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern

Extract or Change the Window of a Spatial Object

Biological Cells Point Pattern

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

The Lennard-Jones Potential

Kernel Smoothed Intensity of Point Pattern

bounding.box.xy

Convex Hull of Points

The Multitype Strauss Point Process Model

K-function using FFT

Convert Data To Class fv

Generic Ord Interaction model

Combine Function Value Tables

The Hard Core Point Process Model

Combine Two Line Segment Patterns

Extract or Replace Subset of a List of Things

Inhomogeneous J-function

Multitype L-function (cross-type)

Extract Subset of Window

Poisson Point Process Model

Calculate four standard summary functions of a point pattern.

Saturated Pairwise Interaction model

Convert Data To Class owin

Crossing Points of Two Line Segment Patterns

MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model

Distance to Boundary of Window

Circumradius of a Window

Smooth Interpolation of Marks as a Spatial Function

Convert Data to Hyperframe

Residual Diagnostics for Multiple Fitted Models

Chicago Street Crime Data

The Strauss / Hard Core Point Process Model

Convert List of Two-Dimensional Spatial Objects

Berman-Huntington points and lines data

Apply Function to Every Neighbourhood in a Point Pattern

The Soft Core Point Process Model

Evaluate Expression Involving Pixel Images

Convert Pixel Image to Matrix

The Piecewise Constant Pairwise Interaction Point Process Model

Inhomogeneous Cross Type L Function

Cross Validated Bandwidth Selection for Kernel Density

Morphological Closing

Apply Geometrical Transformation To Tessellation

Print Introduction For Beginners

Apply Geometrical Transformations to Point Pattern on a Linear Network

adaptive.density

Intensity Estimate of Point Pattern Using Tessellation

Circular Window

Apply Affine Transformation To Pixel Image

Basis for Harmonic Functions

Fill Plot With Texture

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

Berman's Tests for Point Process Model

ANOVA for Fitted Multiple Point Process Models

Bronze gradient filter data

Stoyan's Rule of Thumb for Bandwidth Selection

Convert Data to Three-Dimensional Box

Distance to Boundary of Window

complement.owin

Take Complement of a Window

Distance to Boundary of Window

The Strauss Point Process Model

Connected components of a point pattern

Convert Data To Class psp

Convert to Pixel Image

Extract Boundary Edges of a Window.

Test Whether Function Objects Are Compatible

Coefficients of Fitted Point Process Model

Convert Data To Tessellation

Mixed Poisson Distribution

Pairwise distances

Create Colour Scheme for a Range of Numbers

Tropical rain forest trees

Border Region of a Window

Apply Affine Transformation To Line Segment Pattern

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern

Residual G Function

Close Pairs of Points in 3 Dimensions

Diameter of an Object

Convert Data to a Point Pattern on a Linear Network

as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame

List of Objects

Pairwise distances between two different line segment patterns

delaunay.distance

Distance on Delaunay Triangulation

Centroid of a window

Apply Gaussian Blur to a Pixel Image

Beta Ganglion Cells in Cat Retina, Old Version

Smooth a Signed or Vector-Valued Measure

Convert Line Segment Pattern to Binary Pixel Mask

Spatial Distribution Test for Point Pattern or Point Process Model

Calculate Derivative of Function Values

clarkevans.test

Clark and Evans Test

as.data.frame.im

Convert Pixel Image to Data Frame

Empirical Intensity of Point Pattern on Linear Network

Determine A Common Spatial Domain And Pixel Resolution

Interactively Define a Rectangle

Area of a Window

Close Pairs of Points

Integral of a Pixel Image

Interactively Add Points

The Triplet Point Process Model

Intersect Infinite Straight Lines with a Window

Convert Data to Numeric Values by Constructing Dummy Variables

Convert Pixel Image to Matrix or Array

ANOVA for Fitted Point Process Models on Linear Network

Apply Geometrical Transformations to a Linear Network

Diagnostic Plots for Fitted Point Process Model

Apply a Function to a Point Pattern Broken Down by Factor

compatible.fasp

Test Whether Function Arrays Are Compatible

Contour plot of pixel image

Scott's Rule for Bandwidth Selection for Kernel Density

Delaunay Triangulation of Point Pattern

Diggle-Cressie-Loosmore-Ford and Maximum Absolute Deviation Tests

Beta Ganglion Cells in Cat Retina

Convolution of Pixel Images

Generate a Default Pattern of Dummy Points

Fit Point Process Model to Point Pattern on Linear Network

density.splitppp

Kernel Smoothed Intensity of Split Point Pattern

crossdist.default

Pairwise distances between two different sets of points

Create a Function Value Table

Diameter of a Window

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns

default.rmhcontrol

Set Default Control Parameters for Metropolis-Hastings Algorithm.

Make Objects Compatible

Corners of a rectangle

Clark and Evans Aggregation Index

Connected components

Extract Window of Spatial Object

Apply Affine Transformation To Point Pattern

Nearest neighbour distances

Perspective Plot of Pixel Image

Evaluate Expression Involving Pixel Images on Linear Network

Translation Edge Correction

Convert and Compare Colours in Different Formats

Hutchings' Bramble Canes data

Apply Function to Image Broken Down by Factor

Convert Pixel Image from Numeric to Factor

Colour Lookup Tables

Coefficients of Point Process Model Fitted to Multiple Point Patterns

exactMPLEstrauss

Exact Maximum Pseudolikelihood Estimate for Stationary Strauss Process

Intersection of Two Tessellations

Areas of Morphological Dilations

Test Whether Objects Are Compatible

Collapse Several Function Tables into One

Evaluate Expression Involving Functions

Distance Map as a Function

Extract Dummy Points Used to Fit a Point Process Model

Evaluate Expression Involving Function Arrays

Geometrical Calculations for Three-Dimensional Box

Extract Fitted Point Process Model

Cross Validated Bandwidth Selection for Spatial Smoothing

List Dihedral Triples in a Graph

Fit Cluster or Cox Point Process Model

Endpoints of Line Segment Pattern

Subdivide a Window or Tessellation using a Set of Lines

Kaplan-Meier Estimator using Histogram Data

Fitted Probabilities for Spatial Logistic Regression

Simulation Envelopes of Summary Function for 3D Point Pattern

Window in Shape of Letter R

Inhomogeneous Multitype Pair Correlation Function (Cross-Type)

Point and Click Interface for Displaying Spatial Data

Hyper Data Frame

Fit a Log-Gaussian Cox Point Process by Minimum Contrast

Test Whether a Window is Convex

Increments of a Function

Cells in Gastric Mucosa

Concatenate x,y Coordinate Vectors

Loglikelihood of Spatial Logistic Regression

Morphological Dilation

Parameter influence measure

Determine Type of Window

Gauss-Hermite Quadrature Approximation to Expectation for Normal Distribution

Intensity of Fitted Point Process Model

linearpcfcross.inhom

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

Interactively Define a Polygon

Test Whether Marks Are Present

Dirichlet Tessellation of Point Pattern

Classify Points in a Point Pattern

Create Point Pattern on Linear Network

Print Brief Details of a Line Segment Pattern Dataset

Foo is Not a Variable

interp.colourmap

Interpolate smoothly between specified colours

envelope.envelope

Recompute Envelopes

Pool Data from Several Envelopes

Diggle's Heather Data

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

Add margins to rectangle

Methods for Cluster Point Process Models

Point Pair Orientation Distribution

Class of Fitted Point Process Models

Methods for Intensity Functions of Spatial Covariate

Morphological Erosion

Cross Validated Bandwidth Selection for Relative Risk Estimation

Distance Map of Window

Nearest neighbour distances in three dimensions

Distance Map of Line Segment Pattern

Determine Duplicated Points in a Spatial Point Pattern

Determine Whether One Window is Contained In Another

Make Pixel Images Compatible

Inverse-distance weighted smoothing of observations at irregular points

Test Whether A Point Process Model is Marked

Interactively join vertices on a plot

Create Pixel Image on Linear Network

Methods for Linear Networks

Dispersion Test for Spatial Point Pattern Based on Quadrat Counts

Plot a List of Things

Simulation Envelopes of Summary Function

Convex Hull of Points

Fry Plot of Point Pattern

Scots pines and other trees at Hyytiala

Envelope for Point Patterns on Linear Network

Find Largest Circle Inside Window

Histogram of Pixel Values in an Image

Test Whether Object is a Hybrid

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

methods.objsurf

Methods for Objective Function Surfaces

Mark Correlation Function

Distance Map on Linear Network

Exchange X and Y Coordinates

Plot a tessellation

Make Function Tables Compatible

Methods for Fitted Point Process Models on a Linear Network

plot.hyperframe

Plot Entries in a Hyperframe

Class of Images

invoke.symbolmap

Plot Data Using Graphics Symbol Map

Tabulate Marks in Neighbourhood of Every Point in a Point Pattern

Abbreviations for Groups of Columns in Function Value Table

Function on a Linear Network

Extract the Domain of any Spatial Object

Pine saplings in Finland.

Hybrid Interaction Family

Test Whether An Object Is A Pixel Image

Generate Poisson Point Pattern

Generate N Random Points

Recognise Stationary and Poisson Point Process Models

Influence Measure for Spatial Point Process Model

Midpoints of Line Segment Pattern

linearmarkequal

Mark Connection Function for Multitype Point Pattern on Linear Network

Nearest Neighbour Index Map as a Function

Nearest neighbour distances on a linear network

Test Whether An Object Is A Window

Rectangular grid of points

Fit a Log-Gaussian Cox Point Process by Minimum Contrast

nearest.raster.point

Find Pixel Nearest to a Given Point

is.multitype.ppm

Test Whether A Point Process Model is Multitype

Japanese Pines Point Pattern

Ripley's Isotropic Edge Correction

Compute Disc of Given Radius in Linear Network

Likelihood Ratio Test Statistic for Scan Test

Intersection, Union or Set Subtraction of Two Windows

Spatial Covariance of a Pixel Image

Recognise Fitted Determinantal Point Process Models

Murchison gold deposits

Extract the Interaction from a Fitted Point Process Model

Convert dataset to another unit of length

Rotate a Window

Exponential Energy Marks

Inhomogeneous Pair Correlation Function

Print News About Latest Version of Package

Methods for Fitted Interactions

Methods for Spatial Logistic Regression Models

Weighted Empirical Cumulative Distribution Function

Marks of a Line Segment Pattern

Fit Point Process Model Involving Irregular Trend Parameters

Create List of Plotting Layers

Lansing Woods Point Pattern

Leverage Measure for Spatial Point Process Model

linearmarkconnect

Mark Connection Function for Multitype Point Pattern on Linear Network

Marks of a Point Pattern

Approximate a Polygon by a Simpler Polygon

Integral of a Measure

Compute Area of Overlap

Create a Point Matching

Methods for Multi-Dimensional Box

Test Whether Points Are Inside A Window

Lengths of Line Segments

Linear K Function

Print Progress Reports

Extract or Replace the Plot Arguments of a Layered Object

California Redwoods Point Pattern (Entire Dataset)

Gorilla Nesting Sites

Nearest-Neighbour Correlation Indices of Marked Point Pattern

Pairwise distances between two different three-dimensional point patterns

pairdist.default

Pairwise distances

plot a Spatial Point Pattern

Farthest Distance to Boundary of Window

Hopkins-Skellam Test

plot.bermantest

Plot Result of Berman Test

pppmatching.object

Class of Point Matchings

methods.layered

Methods for Layered Objects

Morisita Index Plot

Dummy Function Returns Number of Points

Identify Covariates Involved in each Model Term

Method of Minimum Contrast

Urkiola Woods Point Pattern

Nearest neighbour

Convert Pixel Image to Another Unit of Length

multiplicity.ppp

Count Multiplicity of Duplicate Points

Identify Points in a Point Pattern

Find Line Segment Nearest to Each Point

linearKdot.inhom

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

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

Partial Residuals for Point Process Model

Nearest Neighbours Between Two Patterns in 3D

Inhomogeneous Linear K Function

Neighbourhood density function

Generate a Row or Column Arrangement of Rectangles.

Nearest neighbour distances between line segments

Quantiles of Weighted Empirical Cumulative Distribution Function

Pairwise distances in Three Dimensions

Inhomogeneous Linear Pair Correlation Function

Point Patterns of New Brunswick Forest Fires

Pair Correlation Function of Point Pattern

Random Re-Labelling of Point Pattern

model.matrix.slrm

Extract Design Matrix from Spatial Logistic Regression Model

intensity.quadratcount

Intensity Estimates Using Quadrat Counts

Plot a Signed or Vector-Valued Measure

Scatterplot Matrix for Pixel Images

Linear Pair Correlation Function

Summary of a List of Spatial Objects

methods.rho2hat

Methods for Intensity Functions of Two Spatial Covariates

Compute Images of Constructed Covariates

New Zealand Trees Point Pattern

Pair Correlation Function of a Three-Dimensional Point Pattern

Apply Function Pixelwise to List of Images

Interpolate a Pixel Image

Nearest Neighbour Clutter Removal

Plot a Spatial Distribution Test

Lurking variable plot

linearKcross.inhom

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

Test Whether An Object Is Empty

Ponderosa Pine Tree Point Pattern

K-th Nearest Point Map

Osteocyte Lacunae Data: Replicated Three-Dimensional Point Patterns

Multidimensional Space-Time Point Pattern

Multitype pair correlation function (i-to-any)

Plot a three-dimensional point pattern

Methods for Point Patterns on a Linear Network

Number of Points in a Point Pattern

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

Extract Pixel Centres as Point Pattern

Inhomogeneous Neighbourhood Density Function

tweak.colourmap

Change Colour Values in a Colour Map

Pad the Border of a Pixel Image

Plot a linear network

plot a Fitted Multiple Point Process Model

Generate Quasirandom Point Pattern in Given Window

Methods for Functions on Linear Network

Plot a List of Spatial Objects

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

Nearest Neighbour Map on Linear Network

Ord Interaction Process Family

Pool Data from Several Function Arrays

Plot a Simulation Envelope

Find Nearest Point in a Region

Distance for a Point Pattern Matching

Poisson Line Tessellation

Generate Poisson Random Line Process

Generate N Uniform Random Points in Three Dimensions

Plot Pixel Image on Linear Network

Identify Nearest Neighbours on a Linear Network

Apply Vector Translation To Pixel Image

Methods for Units

Objective Function Surface

summary.splitppp

Summary of a Split Point Pattern

Convert Window to Pixel Image

Quadrature Scheme Based on Pixel Grid

Print Brief Details of a Spatial Window

Determine Initial State for Metropolis-Hastings Simulation.

Create a Line Segment Pattern

Plot a Pixel Image

Profile Maximum Pseudolikelihood

quadrat.test.mppm

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

Nearest neighbours in three dimensions

Pseudoscore Diagnostic For Fitted Model against General Alternative

Generate N Uniform Random Points

Place Points Evenly Along Specified Lines

Generate grid of parallel lines with random displacement

plot a Spatial Line Segment Pattern

Generate Poisson Point Pattern on Line Segments

Triplet Interaction Family

Empirical Intensity of Point Pattern

Plot Result of Scan Test

Area of Part of Disc

Plot a List of Point Patterns

Volume of an Object

project2segment

Move Point To Nearest Line

Number of Line Segments in a Line Segment Pattern

Divide Image Into Sub-images

Compute Minimum or Maximum Nearest-Neighbour Distance

Q-Q Plot of Residuals from Fitted Point Process Model

Simulate Matern Model II

Prediction for Fitted Multiple Point Process Model

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

Plot a Spatial Quadrature Scheme

Residuals for Fitted Point Process Model

linearpcfdot.inhom

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

Prediction from a Fitted Point Process Model

Perfect Simulation of the Diggle-Gratton Process

Plot a Graphics Symbol Map

pool.quadrattest

Pool Several Quadrat Tests

Class of Quadrature Schemes

Random Thinning

Simulate Neyman-Scott Process

plot.texturemap

Plot a Texture Map

Fit Point Process Model to Data

Smoothing Estimate of Covariate Transformation

Pyramidal Neurons in Cingulate Cortex

Rotate a Point Pattern

Simulate Thomas Process

Perimeter Length of Window

Print a Quadrature Scheme

Generate N Uniform Random Points in a Disc

Rotate a Line Segment Pattern

Sample Quantiles of Pixel Image

Plot Function Values

Force Point Process Model to be Valid

Longleaf Pines Point Pattern

quadratresample

Resample a Point Pattern by Resampling Quadrats

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

Saturated Pairwise Interaction Point Process Family

Convert Point Pattern to Pixel Image

Apply Vector Translation To Window

Perfect Simulation of the Strauss-Hardcore Process

Simulate Simple Sequential Inhibition

runifpointOnLines

Generate N Uniform Random Points On Line Segments

Pairwise distances between line segments

Interaction Distance of a Point Process

Plot Point Pattern on Linear Network

Reduced Sample Estimator using Histogram Data

Methods for three-dimensional point patterns

California Redwoods Point Pattern (Ripley's Subset)

Simulated Point Pattern

Variance-Covariance Matrix for a Fitted Cluster Point Process Model

Convert Spatial Object to Pixel Image

Convert Line Segment Pattern to Another Unit of Length

Convert Point Pattern to Another Unit of Length

plot a Fitted Point Process Model

reload.or.compute

Compute Unless Previously Saved

Extract List of Individual Point Process Models

Quasirandom Patterns

Pseudoscore Diagnostic For Fitted Model against Saturation Alternative

Create a Tessellation

Plot a fitted cluster point process

Plot Image Using Texture Fill

Prediction from a Fitted Cluster Point Process Model

quadrat.test.splitppp

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

plot.quadratcount

Plot Quadrat Counts

Convert Window to Another Unit of Length

Cartesian Coordinates for a Pixel Raster

Simulate point patterns using the Metropolis-Hastings algorithm.

Print Names and Version Numbers of Libraries Loaded

spatstat-package

The Spatstat Package

Name for Unit of Length

spatstat-internal

Internal spatstat functions

Spatial Scan Test

Spruces Point Pattern

Summarizing a Fitted Point Process Model

spatstat-deprecated

Deprecated spatstat functions

Simulate Neyman-Scott Point Process with Cauchy cluster kernel

Data Sharpening of Point Pattern

plot.quadrattest

Display the result of a quadrat counting test.

model.frame.ppm

Extract the Variables in a Point Process Model

Plot a Function Array

Define Point Process Model for Metropolis-Hastings Simulation.

Range of Function Values

Estimate Intensity of Point Pattern Using Nearest Neighbour Distances

Summary of a List of Things

Smoothed Relative Density of Pairs of Covariate Values

Spokes pattern of dummy points

Extract List of Tiles in a Tessellation

Simulate Matern Model I

Create a Point Pattern

Mosaic Random Field

Update a Fitted Point Process Model

Set Control Parameters for Metropolis-Hastings Algorithm.

Mosaic Random Set

Generate Multitype Poisson Point Pattern

sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window

rPoissonCluster

Simulate Poisson Cluster Process

Pixel Values Along a Transect

Randomly Shift a Line Segment Pattern

Simulate from a Fitted Point Process Model

Outdated Functions

Random Perturbation of a Point Pattern

Kernel Smoothing of Line Segment Pattern

Generate N Random Multitype Points

List of Two-Dimensional Spatial Objects

Nearest Neighbours Between Two Patterns

spatstat.options

Internal Options in Spatstat Package

Data and Code From JRSS Discussion Paper on Residuals

Plot a List of Things

Simulate Point Process Models using the Metropolis-Hastings Algorithm.

Subset of Point Pattern Satisfying A Condition

Theoretical Distribution of Nearest Neighbour Distance

Superimpose Several Geometric Patterns

Rotate a Pixel Image

Detect Numerical Rounding

Compute Quadratic Forms

Predict Point Process Model on Linear Network

rshift.splitppp

Randomly Shift a List of Point Patterns

Uniform Random Points on a Linear Network

Convert Line Segment Pattern to Pixel Image

Simulate Neyman-Scott Point Process with Variance Gamma cluster kernel

Generate N Uniform Random Points in Any Dimensions

Evaluate an Expression in a Function Table

Union of Data and Dummy Points

Simulate Stratified Random Point Pattern

Graphics Symbol Map

Simulate Matern Cluster Process

Read Point Pattern From Data File

Summary of a Spatial Window

Residuals for Point Process Model Fitted to Multiple Point Patterns

Simulate Baddeley-Silverman Cell Process

scaletointerval

Rescale Data to Lie Between Specified Limits

Trees in Waka national park

Nonparametric Estimate of Spatially-Varying Relative Risk

Distance Between Two Point Patterns

Estimate window from points alone

Record the Computation Time

Variance-Covariance Matrix for a Fitted Point Process Model

Create Colour-Valued Pixel Image

Simple Example of Linear Network

Simulate systematic random point pattern

Check Whether Point Process Model is Valid

Areas of Morphological Erosions

dirichlet.vertices

Vertices of Dirichlet Tessellation

Plot a Fitted Point Process Model on a Linear Network

update.rmhcontrol

Update Control Parameters of Metropolis-Hastings Algorithm

with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe

Interpret Fitted Model for Metropolis-Hastings Simulation.

vargamma.estpcf

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

Randomly Shift a Point Pattern

Spatial Logistic Regression

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

Generate a Quadrature Scheme from a Point Pattern

Simulate a Fitted Spatial Logistic Regression Model

rescue.rectangle

Convert Window Back To Rectangle

Apply Vector Translation

Set Covariance of a Window

Summarizing a Quadrature Scheme

Test Expansion Rule

Apply Numerical Rounding to Spatial Coordinates

Simple Point-and-Click Interface Panels

Simulate a Fitted Cluster Point Process Model

Summary of a Line Segment Pattern Dataset

Compute Integral of Function Against Cumulative Distribution

superimpose.lpp

Superimpose Several Point Patterns on Linear Network

Swedish Pines Point Pattern

Sector K-function

Estimate Variance of Summary Statistic by Subdivision

Methods for Multidimensional Space-Time Point Patterns

Simulate a Fitted Gibbs Point Process Model

Calculate Variance-Covariance Matrix for Fitted Multiple Point Process Model

Sporophores Data

Apply Smoothing to Function Values

selfcrossing.psp

Crossing Points in a Line Segment Pattern

Rotational Average of a Pixel Image

Apply Vector Translation To Point Pattern

Divide Multidimensional Point Pattern into Sub-patterns

Analysis of Deviance for Spatial Logistic Regression Models

Names of Tiles in a Tessellation

as.data.frame.ppp

Coerce Point Pattern to a Data Frame

Galaxies in the Shapley Supercluster

Quadrat counting for a point pattern

Coefficients of Fitted Spatial Logistic Regression Model

Cut margins from rectangle

Compute Areas of Tiles in a Tessellation

Stratified random point pattern

Variance-Covariance Matrix for a Fitted Spatial Logistic Regression

Create a Window

Extract or Change the Plot Formula for a Function Value Table

Apply Vector Translation To Line Segment Pattern

summary.anylist

Summary of a List of Things

Mark of Nearest Neighbour

Sufficient Statistic of Point Process Model

Weighted kernel smoother

dirichlet.weights

Compute Quadrature Weights Based on Dirichlet Tessellation

update.symbolmap

Update a Graphics Symbol Map.

Elliptical Window.

Geometrical Calculations for Multi-Dimensional Box

Point and Click Interface for Exploratory Analysis of Point Pattern

Apply Expansion Rule

Summary of a Point Pattern Dataset

Weighted Histogram

Fitted Conditional Intensity for Multiple Point Process Model

Pairwise distances

Fitted Conditional Intensity for Point Process Model

Test Whether An Object Is A Point Pattern

Kaplan-Meier and Reduced Sample Estimator using Histograms

Log Likelihood for Poisson Point Process Model

Create a Pixel Image Object

Pairwise shortest-path distances between points on a linear network

Draw Points or Lines on a Surface Viewed in Perspective

Morphological Opening

Predicted or Fitted Values from Spatial Logistic Regression

Perfect Simulation of the Hardcore Process

Specify Simulation Window or Expansion Rule

Spatial Cumulative Distribution Function

Summarizing a Pixel Image

Log Likelihood and AIC for Point Process Model

Methods for Spatial Functions

Extract Subset of Line Segment Pattern

Estimate the Empty Space Function or its Hazard Rate

Convert to Pixel Image on Linear Network

Bounding Box of a Window, Image, or Point Pattern

Likelihood Cross Validation Bandwidth Selection for Kernel Density

Fit the Neyman-Scott cluster process with Cauchy kernel

Extract Original Data from a Fitted Point Process Model

Chorley-Ribble Cancer Data

diameter.linnet

Circumradius and Diameter of a Linear Network

Distribution Function of Interpoint Distance

People in Gordon Square

Spatial Function Class

Function Value Table

Compute Quadrature Weights Based on Grid Counts

Identify Segments in a Line Segment Pattern

Improve Intensity Estimate of Fitted Cluster Point Process Model

Aherne's hamster tumour data

Intensity of a Dataset or a Model

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

matclust.estpcf

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

Fit the Matern Cluster Point Process by Minimum Contrast

Nearest Neighbours on a Linear Network

Pair Correlation Function obtained from K Function

Marked pair correlation function

Plot a Colour Map

Panel Plots using Colour Image or Contour Lines

Nearest Neighbour Distances in Any Dimensions

Plot a Spatial Window

Plot a Fitted Spatial Logistic Regression

Divide Region into Quadrats

Simulate Log-Gaussian Cox Process

Apply Scalar Dilation

Generate Poisson Point Pattern in Three Dimensions

Extract Unique Points from a Spatial Point Pattern

Fit the Thomas Point Process by Minimum Contrast

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

Inhomogeneous Empty Space Function

Lambert's W Function

Ord's Interaction model

Orientation Angles of Line Segments

as.data.frame.hyperframe

Coerce Hyperframe to Data Frame

Convert a Window to a Polygonal Window

cbind.hyperframe

Combine Hyperframes by Rows or by Columns

Convert Data To Layered Object

The Connected Component Process Model

Extract or Replace Subset of Point Pattern

Model Compensator of Nearest Neighbour Function

Nearest Neighbour Distance Function G

K-function of a Three-Dimensional Point Pattern

Extract.leverage.ppm

Extract Subset of Leverage Object

Multitype K Function (Cross-type)

Apply Affine Transformation To Window

Harkness-Isham ants' nests data

Spatial Distribution Test for Multiple Point Process Model

Allard-Fraley Estimator of Cluster Feature

Demonstration Example of Hyperframe of Spatial Data

Safely Convert Point Pattern Window to Binary Mask

edges2triangles

List Triangles in a Graph

Hexagonal Grid or Tessellation

Level Set of a Pixel Image

Bootstrap Confidence Bands for Summary Function

Mark Correlation Integral

Methods for Three-Dimensional Box

model.matrix.ppm

Extract Design Matrix from Point Process Model

Signed or Vector-Valued Measure

Pairwise distances

pairwise.family

Pairwise Interaction Process Family

Pair Correlation Function obtained from array of K functions

Multitype pair correlation function (cross-type)

plot.influence.ppm

Plot Influence Measure

plot.leverage.ppm

Plot Leverage Function

Class of Line Segment Patterns

Pairwise distances between two different point patterns

Pseudoscore Diagnostic For Fitted Model against Area-Interaction Alternative

Test Whether Pixel Images Are Compatible

Simulate Gauss-Poisson Process

Plot a List of Things

Progress Plot of Test of Spatial Pattern

Pairwise distances between two point patterns on a linear network

Multi-Dimensional Box

Influenza Virus Proteins

Humberside Data on Childhood Leukaemia and Lymphoma

inforder.family

Infinite Order Interaction Family

Infinite Straight Lines

Test Whether An Object Is A Fitted Point Process Model

Pairwise Distances in Any Dimensions

Pair Correlation Function

Kimboto trees at Paracou, French Guiana

Fit Point Process Model to Point Pattern Data

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

split.hyperframe

Divide Hyperframe Into Subsets and Reassemble

Fit the Thomas Point Process by Minimum Contrast

Update a Fitted Cluster Point Process Model

is.multitype.ppp

Test Whether A Point Pattern is Multitype

Generate Random Numbers of Points for Cell Process

Perfect Simulation of the Diggle-Gates-Stibbard Process

Reflect In Origin

rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.

Extract.hyperframe

Extract or Replace Subset of Hyperframe

Marked J Function

Spherical Contact Distribution Function

Convert Function Value Table to Function

Castilla-La Mancha Forest Fires

Default Expansion Rule for Simulation of Model

Artificial Data Point Pattern

Function Arrays for Spatial Patterns

Model Formulae for Gibbs Point Process Models

Test Whether A Point Pattern is Marked

Local pair correlation function

Create a Linear Network

Mark Connection Function

Summarise Marks in Every Neighbourhood in a Point Pattern

Nearest Neighbours in Any Dimensions

Plot a plotppm Object Created by plot.ppm

Pool Data from Several Ratio Objects

Three Dimensional Point Pattern

Class of Point Patterns

Print a Fitted Point Process Model

Print Brief Details of an Image

Extract Quadrature Scheme Used to Fit a Point Process Model

Perfect Simulation of the Strauss Process

quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern

Poisson Point Process on a Linear Network

Simulate a Fitted Point Process Model on a Linear Network

Vertices of a Window

Stienen Diagram

Rounding of Pixel Values

Fit Point Process Model to Several Point Patterns

Define Point Process Model for Metropolis-Hastings Simulation.

run.simplepanel

Run Point-and-Click Interface

Divide Point Pattern into Sub-patterns

Generate Poisson Point Pattern in Any Dimensions

Make Periodic Copies of a Spatial Pattern

Print Brief Details of a Point Pattern Dataset

Test whether Object is Multitype