Learn R Programming

⚠️There's a newer version (3.3-1) of this package.Take me there.

spatstat (version 1.34-1)

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, 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 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, Dao-Genton) are also supported. Point process models can be fitted to point pattern data using the functions ppm, kppm, slrm similar to glm. 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 various composite likelihood methods. Fitted point process models can be simulated, automatically. Formal hypothesis tests of a fitted model are supported. Tools for validating the fitted model include simulation envelopes, residuals, residual plots and Q-Q plots, and leverage and influence diagnostics.

Copy Link

Version

Install

install.packages('spatstat')

Monthly Downloads

16,590

Version

1.34-1

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

November 3rd, 2013

Functions in spatstat (1.34-1)

Extract or Replace Subset of Tessellation

Spherical Contact Distribution Function

Extract.splitppp

Extract or Replace Sub-Patterns

Extract Subset of Function Array

Foxall's Distance Functions

Hybrid Geyer Point Process Model

Inhomogeneous Cross K Function

Extract Subset of Function Values

Extract Subset of Image

Extract or Replace Subset of Point Pattern

The Connected Component Process Model

Estimate the empty space function F

Model Compensator of Nearest Neighbour Function

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

Marked Nearest Neighbour Distance Function

Residual G Function

Extract Subset of Multidimensional Point Pattern

DiggleGatesStibbard

Diggle-Gates-Stibbard Point Process Model

Inhomogeneous Cross Type L Function

Diggle-Gratton model

Multitype L-function (i-to-any)

The Piecewise Constant Pairwise Interaction Point Process Model

Model Compensator of K Function

Generic Pairwise Interaction model

The Strauss / Hard Core Point Process Model

Apply Affine Transformation To Pixel Image

The Fiksel Interaction

Diagnostics for random marking

Nearest Neighbour Distance Function G

Lambert's W Function

Multitype L-function (cross-type)

Inhomogeneous Nearest Neighbour Function

Calculate four standard summary functions of a point pattern.

Orientation Angles of Line Segments

Inhomogeneous Multitype K Dot Function

Multitype K Function (Cross-type)

K-function using FFT

Convert Data to a Point Pattern on a Linear Network

Estimate the I-function

Multitype K Function (i-to-any)

Inhomogeneous J-function

Empty Space Function of a Three-Dimensional Point Pattern

Distance to Boundary of Window

Pairwise distances between two point patterns on a linear network

Apply Affine Transformation To Window

Convert Data to Three-Dimensional Box

Residual K Function

Geyer's Saturation Point Process Model

Extract.layered

Extract Subset of a Layered Object

Subset of Quadrature Scheme

Create Colour Scheme for a Range of Numbers

Difference of Disc Areas

as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame

Marked K-Function

Pairwise distances between two different line segment patterns

Locally Scaled K-function

Hybrid Interaction Point Process Model

Third order summary statistic

Analysis of Deviance for Spatial Logistic Regression Models

Convert Pixel Image to Matrix or Array

Marked J Function

Multitype J Function (i-to-any)

Cross Validated Bandwidth Selection for Spatial Smoothing

K function of a model

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

Convert Data To Class owin

Hughes' Amacrine Cell Data

Biological Cells Point Pattern

Combine Function Value Tables

Inhomogeneous K-function

The Strauss Point Process Model

Distance Map as a Function

Harkness-Isham ants' nests data

Coefficients of Fitted Spatial Logistic Regression Model

Clark and Evans Aggregation Index

Area of a Window

Distribution Function of Interpoint Distance

Pixel Image Approximation of a Window

Saturated Pairwise Interaction model

Convert Line Segment Pattern to Binary Pixel Mask

Poisson Point Process Model

Convert Function Value Table to Function

Distance Map of Window

Inhomogeneous Multitype L Dot Function

MultiStraussHard

The Multitype/Hard Core Strauss Point Process Model

People in Gordon Square

Apply Geometrical Transformations to Point Pattern on a Linear Network

The Hard Core Point Process Model

Convert a Window to a Polygonal Window

as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern

Extract Subset of Linear Network

K-function of a Three-Dimensional Point Pattern

Reset Values in Subset of Image

Convert Data To Class fv

Three-Dimensional Box

Plot a List of Things

Interactively Define a Polygon

Tropical rain forest trees

Stoyan's Rule of Thumb for Bandwidth Selection

Extract Fitted Point Process Model

Generic Ord Interaction model

Pairwise distances between two different point patterns

Test Whether Objects Are Compatible

Cross Validated Bandwidth Selection for Kernel Density

Test Whether Function Objects Are Compatible

Ord's Interaction model

Subdivide a Window or Tessellation using a Set of Lines

as.data.frame.ppp

Coerce Point Pattern to a Data Frame

Apply Function to Every Neighbourhood in a Point Pattern

Kernel Smoothing of Line Segment Pattern

Berman's Tests for Point Process Model

Convert to Pixel Image on Linear Network

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

Apply Gaussian Blur to a Pixel Image

Geometrical Calculations for Three-Dimensional Box

Beta Ganglion Cells in Cat Retina

Hutchings' Bramble Canes data

Extract Dummy Points Used to Fit a Point Process Model

Added Variable Plot for Point Process Model

Multi-Dimensional Box

Morphological Dilation

Convert Data To Class psp

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns

Apply Affine Transformation To Line Segment Pattern

Intersect Infinite Straight Lines with a Window

Test Whether Points Are Inside A Window

The Multitype Strauss Point Process Model

Connected components of a point pattern

Geometrical Calculations for Multi-Dimensional Box

Hyper Data Frame

Castilla-La Mancha Forest Fires

Delaunay Triangulation of Point Pattern

compatible.fasp

Test Whether Function Arrays Are Compatible

edges2triangles

List Triangles in a Graph

is.multitype.ppm

Test Whether A Point Process Model is Multitype

Interactively join vertices on a plot

dirichlet.weights

Compute Quadrature Weights Based on Dirichlet Tessellation

Circumradius and Diameter of a Linear Network

Border Region of a Window

Apply a Function to a Point Pattern Broken Down by Factor

Convert and Compare Colours in Different Formats

Fit the Neyman-Scott cluster process with Cauchy kernel

Distance Map on Linear Network

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

Interactively Add Points

Evaluate Expression Involving Function Arrays

Calculate Derivative of Function Values

Bandwidth Selection Based on Window Geometry

Test Whether An Object Is A Window

The Triplet Point Process Model

Scott's Rule for Bandwidth Selection for Kernel Density

Extract or Replace the Plot Arguments of a Layered Object

Influence Measure for Spatial Point Process Model

Envelope for Point Patterns on Linear Network

Apply Geometrical Transformations to a Linear Network

Print Introduction For Beginners

List Dihedral Triples in a Graph

Tabulate Marks in Neighbourhood of Every Point in a Point Pattern

Distance Map of Point Pattern

Test Whether Pixel Images Are Compatible

Integral of a Pixel Image

ANOVA for Fitted Point Process Models

Calculate Summary Statistic for All Types in a Multitype Point Pattern

Centroid of a window

crossdist.default

Pairwise distances between two different sets of points

Diameter of a Window

Diagnostic Plots for Fitted Point Process Model

Fit the Neyman-Scott cluster process with Cauchy kernel

Infinite Straight Lines

Empirical Intensity of Point Pattern on Linear Network

Test Whether A Point Pattern is Marked

Residual Diagnostics for Multiple Fitted Models

Leverage Measure for Spatial Point Process Model

adaptive.density

Intensity Estimate of Point Pattern Using Tessellation

Areas of Morphological Dilations

Convert Data To Class ppp

as.data.frame.im

Convert Pixel Image to Data Frame

Dirichlet Tessellation of Point Pattern

Distance to Boundary of Window

Pairwise distances

Simulation Envelopes of Summary Function for 3D Point Pattern

Morphological Erosion

Method of Minimum Contrast

cbind.hyperframe

Combine Hyperframes by Rows or by Columns

Optimise Irregular Trend Parameters in Point Process Model

complement.owin

Take Complement of a Window

Point Patterns of New Brunswick Forest Fires

Simulation Envelopes of Summary Function

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

Connected components

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern

Ripley's Isotropic Edge Correction

Convert Pixel Image from Numeric to Factor

Japanese Pines Point Pattern

Create Pixel Image on Linear Network

Test Whether Marks Are Present

Concatenate x,y Coordinate Vectors

Determine A Common Spatial Domain And Pixel Resolution

Pairwise distances between line segments

Inhomogeneous Linear K Function

Neighbourhood density function

Classify Points in a Point Pattern

Difference of Disc Areas

Determine Type of Window

Circular Window

Diameter of an Object

Interpolate a Pixel Image

Create a Linear Network

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

Kaplan-Meier Estimator using Histogram Data

Test whether Object is Multitype

Gorilla Nesting Sites

Distance Map of Line Segment Pattern

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

Print Brief Details of a Spatial Window

linearpcfcross.inhom

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

pairdist.default

Pairwise distances

Weighted Empirical Cumulative Distribution Function

Translation Edge Correction

Artificial Data Point Pattern

Convert to Pixel Image

Aherne's hamster tumour data

Evaluate Expression Involving Pixel Images on Linear Network

Print a Fitted Point Process Model

Test Whether a Window is Convex

Pair Correlation Function of Point Pattern

K-th Nearest Point Map

Inhomogeneous Multitype Pair Correlation Function (Cross-Type)

Convert Spatial Object to Pixel Image

Evaluate Expression Involving Functions

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

Default Expansion Rule for Simulation of Model

Longleaf Pines Point Pattern

Fitted Probabilities for Spatial Logistic Regression

Marks of a Point Pattern

Convert Line Segment Pattern to Pixel Image

Endpoints of Line Segment Pattern

Function Arrays for Spatial Patterns

Areas of Morphological Erosions

Compute Disc of Given Radius in Linear Network

Rectangular grid of points

Signed or Vector-Valued Measure

Intensity of a Dataset or a Model

Hybrid Interaction Family

Find Line Segment Nearest to Each Point

is.multitype.ppp

Test Whether A Point Pattern is Multitype

Convert Data to Hyperframe

delaunay.distance

Distance on Delaunay Triangulation

Lengths of Line Segments

Intersection of Two Tessellations

Convolution of Pixel Images

Nearest Neighbour Map as a Function

Recognise Stationary and Poisson Point Process Models

Point and Click Interface for Exploratory Analysis of Point Pattern

Plot a three-dimensional point pattern

Plot a fitted cluster point process

Window in Shape of Letter R

Convert Point Pattern to Pixel Image

Dummy Function Returns Number of Points

multiplicity.ppp

Count Multiplicity of Duplicate Points

density.splitppp

Kernel Smoothed Intensity of Split Point Pattern

interp.colourmap

Interpolate smoothly between specified colours

Determine Whether One Window is Contained In Another

Empirical Intensity of Point Pattern

plot a Spatial Point Pattern

Bounding Box of a Window or Point Pattern

Pine saplings in Finland.

Test Whether An Object Is A Pixel Image

Extract Original Data from a Fitted Point Process Model

Inverse-distance weighted smoothing of observations at irregular points

Area of Part of Disc

linearmarkconnect

Mark Connection Function for Multitype Point Pattern on Linear Network

Influenza Virus Proteins

exactMPLEstrauss

Exact Maximum Pseudolikelihood Estimate for Stationary Strauss Process

Lurking variable plot

Methods for Functions on Linear Network

Distance for a Point Pattern Matching

Identify Covariates Involved in each Model Term

Fitted Conditional Intensity for Point Process Model

Create a Function Value Table

Mark of Nearest Neighbour

Ponderosa Pine Tree Point Pattern

Multitype pair correlation function (i-to-any)

Distance Between Two Point Patterns

Print Brief Details of an Image

Humberside Data on Childhood Leukaemia and Lymphoma

linearKdot.inhom

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

methods.rho2hat

Methods for Intensity Functions of Two Spatial Covariates

California Redwoods Point Pattern (Entire Dataset)

Summarise Marks in Every Neighbourhood in a Point Pattern

Class of Line Segment Patterns

Nearest neighbour distances

Class of Images

Ord Interaction Process Family

Plot a Fitted Spatial Logistic Regression

inforder.family

Infinite Order Interaction Family

plot.leverage.ppm

Plot Leverage Function

Pair Correlation Function obtained from K Function

Extract Quadrature Scheme Used to Fit a Point Process Model

Convert Window to Pixel Image

Linear K Function

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

Determine Initial State for Metropolis-Hastings Simulation.

Kolmogorov-Smirnov Test for Point Pattern or Point Process Model

Identify Segments in a Line Segment Pattern

Class of Point Patterns

Nearest Neighbours on a Linear Network

Detect Numerical Rounding

Perspective Plot of Pixel Image

Plot a Spatial Window

linearmarkequal

Mark Connection Function for Multitype Point Pattern on Linear Network

Prediction from a Fitted Point Process Model

model.frame.ppm

Extract the Variables in a Point Process Model

Methods for Three-Dimensional Box

Print a Quadrature Scheme

project2segment

Move Point To Nearest Line

Perfect Simulation of the Strauss-Hardcore Process

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

Level Set of a Pixel Image

Linear Pair Correlation Function

rPoissonCluster

Simulate Poisson Cluster Process

Create a Point Pattern

Print News About Latest Version of Package

Create a Pixel Image Object

model.matrix.slrm

Extract Design Matrix from Spatial Logistic Regression Model

Scots pines and other trees at Hyytiala

Plot a plotppm Object Created by plot.ppm

Methods for three-dimensional point patterns

Nearest Neighbour Clutter Removal

Murchison gold deposits

Print Brief Details of a Line Segment Pattern Dataset

Perfect Simulation of the Diggle-Gratton Process

Function Value Table

Class of Fitted Point Process Models

Test Whether A Point Process Model is Marked

Bootstrap Confidence Bands for Summary Function

Sample Quantiles of Pixel Image

Profile Maximum Pseudolikelihood

Identify Points in a Point Pattern

Nearest Neighbours Between Two Patterns

Simulate Matern Model II

Simulate Baddeley-Silverman Cell Process

Simulate Gauss-Poisson Process

Dispersion Test for Spatial Point Pattern Based on Quadrat Counts

Convert Line Segment Pattern to Another Unit of Length

Mark Correlation Integral

nearest.raster.point

Find Pixel Nearest to a Given Point

Morishita Index Plot

Extract or Change the Plot Formula for a Function Value Table

Nearest Neighbours Between Two Patterns in 3D

Kaplan-Meier and Reduced Sample Estimator using Histograms

Methods for Point Patterns on a Linear Network

Extract the Interaction from a Fitted Point Process Model

Log Likelihood and AIC for Point Process Model

Osteocyte Lacunae Data: Replicated Three-Dimensional Point Patterns

Smoothing Estimate of Covariate Transformation

Evaluate Expression Involving Pixel Images

Fit Cluster or Cox Point Process Model

Kernel Smoothed Intensity of Point Pattern

New Zealand Trees Point Pattern

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

Nearest neighbour

plot a Spatial Line Segment Pattern

Simulate Neyman-Scott Point Process with Variance Gamma cluster kernel

Create List of Plotting Layers

Pair Correlation Function of a Three-Dimensional Point Pattern

Cartesian Coordinates for a Pixel Raster

Mark Connection Function

Number of Line Segments in a Line Segment Pattern

plot.hyperframe

Plot Entries in a Hyperframe

Convert dataset to another unit of length

Create a Window

Point and Click Interface for Displaying Spatial Data

update.rmhcontrol

Update Control Parameters of Metropolis-Hastings Algorithm

Define Point Process Model for Metropolis-Hastings Simulation.

spatstat-internal

Internal spatstat functions

Q-Q Plot of Residuals from Fitted Point Process Model

Generate grid of parallel lines with random displacement

Test Whether Object is a Hybrid

Pairwise Distances in Any Dimensions

Predict Point Process Model on Linear Network

Simulate point patterns using the Metropolis-Hastings algorithm.

Lansing Woods Point Pattern

Apply Vector Translation To Point Pattern

Generate a Quadrature Scheme from a Point Pattern

Nearest neighbour distances between line segments

Pairwise distances

Extract Unique Points from a Spatial Point Pattern

Perfect Simulation of the Hardcore Process

Fit Point Process Model to Data

Convert Window to Another Unit of Length

Perfect Simulation of the Strauss Process

Pairwise shortest-path distances between points on a linear network

Residuals for Fitted Point Process Model

Plot a Pixel Image

Print Progress Reports

linearpcfdot.inhom

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

Generate Multitype Poisson Point Pattern

Pair Correlation Function obtained from array of K functions

Simulate Neyman-Scott Point Process with Cauchy cluster kernel

Rotate a Point Pattern

Plot a linear network

Interpret Fitted Model for Metropolis-Hastings Simulation.

Reflect In Origin

Sufficient Statistic of Point Process Model

Generate Poisson Point Pattern in Three Dimensions

Apply Vector Translation

Test Whether An Object Is A Point Pattern

Generate Poisson Random Line Process

Pseudoscore Diagnostic For Fitted Model against General Alternative

Randomly Shift a Line Segment Pattern

Interaction Distance of a Point Process

Apply Scalar Dilation

Random Thinning

Simulate Thomas Process

Random Perturbation of a Point Pattern

Methods for Multi-Dimensional Box

Simulate Stratified Random Point Pattern

Apply Numerical Rounding to Spatial Coordinates

Create Point Pattern on Linear Network

matclust.estpcf

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

Apply Vector Translation To Line Segment Pattern

Generate Poisson Point Pattern on Line Segments

Variance-Covariance Matrix for a Fitted Spatial Logistic Regression

Methods for Fitted Interactions

Weighted Histogram

Methods for Spatial Functions

Inhomogeneous Linear Pair Correlation Function

Pseudoscore Diagnostic For Fitted Model against Saturation Alternative

Create a Line Segment Pattern

Midpoints of Line Segment Pattern

Methods for Cluster Point Process Models

Test Expansion Rule

Random Re-Labelling of Point Pattern

Test Whether An Object Is Empty

Divide Multidimensional Point Pattern into Sub-patterns

Spatial Scan Test

Generate N Uniform Random Points in Three Dimensions

Saturated Pairwise Interaction Point Process Family

Simulated Point Pattern

quadratresample

Resample a Point Pattern by Resampling Quadrats

Kimboto trees at Paracou, French Guiana

model.matrix.ppm

Extract Design Matrix from Point Process Model

Poisson Line Tessellation

Compute Images of Constructed Covariates

Plot a Simulation Envelope

Fit the Matern Cluster Point Process by Minimum Contrast

Compute Area of Overlap

Summary of a Point Pattern Dataset

Record the Computation Time

Pool Data from Several Envelopes

Smoothed Relative Density of Pairs of Covariate Values

Mosaic Random Field

Apply Vector Translation To Pixel Image

Generate N Random Points

Simulate from a Fitted Point Process Model

Simulate Point Process Models using the Metropolis-Hastings Algorithm.

summary.splitppp

Summary of a Split Point Pattern

Variance-Covariance Matrix for a Fitted Cluster Point Process Model

Simulate a Fitted Cluster Point Process Model

Fit the Thomas Point Process by Minimum Contrast

Set Covariance of a Window

Simulate Neyman-Scott Process

Summary of a List of Things

Summarizing a Fitted Point Process Model

Apply Smoothing to Function Values

Pixel Values Along a Transect

Vertices of a Window

Set Control Parameters for Metropolis-Hastings Algorithm.

Simulate systematic random point pattern

scaletointerval

Rescale Data to Lie Between Specified Limits

Create a Point Matching

methods.layered

Methods for Layered Objects

Local pair correlation function

Plot Pixel Image on Linear Network

Summary of a Line Segment Pattern Dataset

Stratified random point pattern

California Redwoods Point Pattern (Ripley's Subset)

Generate N Uniform Random Points in a Disc

Rotate a Pixel Image

Methods for Multidimensional Space-Time Point Patterns

Smooth a Signed or Vector-Valued Measure

Perfect Simulation of the Diggle-Gates-Stibbard Process

rshift.splitppp

Randomly Shift a List of Point Patterns

spatstat-deprecated

Deprecated spatstat functions

Methods for Intensity Functions of Spatial Covariate

Poisson Point Process on a Linear Network

Superimpose Several Geometric Patterns

Pairwise distances in Three Dimensions

Simulate a Fitted Spatial Logistic Regression Model

Uniform Random Points on a Linear Network

Nearest neighbour distances on a linear network

Multidimensional Space-Time Point Pattern

Triplet Interaction Family

Simulate Matern Model I

Morphological Opening

Nearest neighbours in three dimensions

runifpointOnLines

Generate N Uniform Random Points On Line Segments

Read Point Pattern From Data File

Union of Data and Dummy Points

Nearest-Neighbour Correlation Indices of Marked Point Pattern

Plot a tessellation

Data Sharpening of Point Pattern

Cells in Gastric Mucosa

Rotate a Window

Randomly Shift a Point Pattern

Urkiola Woods Point Pattern

Summary of a Spatial Window

Place Points Evenly Along Specified Lines

Trees in Waka national park

spatstat.options

Internal Options in Spatstat Package

Simulate Simple Sequential Inhibition

sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window

Define Point Process Model for Metropolis-Hastings Simulation.

Spruces Point Pattern

selfcrossing.psp

Crossing Points in a Line Segment Pattern

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

Compute Areas of Tiles in a Tessellation

Apply Vector Translation To Window

Identify Pixelwise Maximum of Several Pixel Images

Approximate a Polygon by a Simpler Polygon

Compute Quadratic Forms

Evaluate an Expression in a Function Table

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

Update a Fitted Point Process Model

spatstat-package

The Spatstat Package

Divide Point Pattern into Sub-patterns

Summarizing a Quadrature Scheme

Multitype pair correlation function (cross-type)

Swedish Pines Point Pattern

vargamma.estpcf

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

Simulate Matern Cluster Process

Inhomogeneous Pair Correlation Function

Pool Data from Several Function Arrays

Create Colour-Valued Pixel Image

Convert Point Pattern to Another Unit of Length

Extract List of Tiles in a Tessellation

Estimate Variance of Summary Statistic by Subdivision

Generate N Uniform Random Points

Scatterplot Matrix for Pixel Images

Create a Tessellation

Quadrature Scheme Based on Pixel Grid

Plot a List of Things

pool.quadrattest

Pool Several Quadrat Tests

Pool Data from Several Ratio Objects

Mosaic Random Set

Rotate a Line Segment Pattern

Spatial smoothing of observations at irregular points

Prediction from a Fitted Cluster Point Process Model

Reduced Sample Estimator using Histogram Data

pppmatching.object

Class of Point Matchings

Theoretical Distribution of Nearest Neighbour Distance

Nonparametric Estimate of Spatially-Varying Relative Risk

rmhmodel.default

Build Point Process Model for Metropolis-Hastings Simulation.

Summarizing a Pixel Image

Variance-Covariance Matrix for a Fitted Point Process Model

Extract or Replace Subset of a List of Things

Estimate the J-function

The Multitype Hard Core Point Process Model

Spatial smoothing of data

Combine Two Line Segment Patterns

Distance to Boundary of Window

Cross Validated Bandwidth Selection for Relative Risk Estimation

Bronze gradient filter data

Morphological Closing

Progress Plot of Test of Spatial Pattern

default.rmhcontrol

Set Default Control Parameters for Metropolis-Hastings Algorithm.

Determine Duplicated Points in a Spatial Point Pattern

Intersection, Union or Set Subtraction of Two Windows

Test Whether An Object Is A Fitted Point Process Model

Inhomogeneous Neighbourhood Density Function

Methods for Fitted Point Process Models on a Linear Network

Nearest Neighbours in Any Dimensions

plot.bermantest

Plot Result of Berman Test

Plot Function Values

Plot a Spatial Kolmogorov-Smirnov Test

Predicted or Fitted Values from Spatial Logistic Regression

Class of Quadrature Schemes

Simulate a Fitted Gibbs Point Process Model

The Area Interaction Point Process Model

Extract Subset of Signed or Vector Measure

Extract Subset of Line Segment Pattern

Inhomogeneous Marked K-Function

Piecewise Constant Saturated Pairwise Interaction Point Process Model

Apply Affine Transformation

Apply Affine Transformation To Point Pattern

as.data.frame.hyperframe

Coerce Hyperframe to Data Frame

clarkevans.test

Clark and Evans Test

Contour plot of pixel image

Pairwise distances between two different three-dimensional point patterns

Parameter influence measure

Crossing Points of Two Line Segment Patterns

Safely Convert Point Pattern Window to Binary Mask

envelope.envelope

Recompute Envelopes

Beta Ganglion Cells in Cat Retina, Old Version

Make Pixel Images Compatible

Model Formulae for Gibbs Point Process Models

Compute Quadrature Weights Based on Grid Counts

Methods for Linear Networks

pairwise.family

Pairwise Interaction Process Family

plot.influence.ppm

Plot Influence Measure

Plot a Signed or Vector-Valued Measure

quadrat.test.splitppp

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

rescue.rectangle

Convert Window Back To Rectangle

Data and Code From JRSS Discussion Paper on Residuals

Divide Image Into Sub-images

Compute Integral of Function Against Cumulative Distribution

Rounding of Pixel Values

The Soft Core Point Process Model

Beadlet Anemones Data

Extract Interaction Structure

Apply Function to Image Broken Down by Factor

Generate a Default Pattern of Dummy Points

Apply Expansion Rule

Basis for Harmonic Functions

Diggle's Heather Data

Find Largest Circle Inside Window

Fit a Log-Gaussian Cox Point Process by Minimum Contrast

Function on a Linear Network

Loglikelihood of Spatial Logistic Regression

linearKcross.inhom

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

Marks of a Line Segment Pattern

Methods for Spatial Logistic Regression Models

Methods for Units

Mark Correlation Function

Nearest Neighbour Distances in Any Dimensions

Nearest neighbour distances in three dimensions

Nearest Neighbour Map on Linear Network

Make Periodic Copies of a Spatial Pattern

plot a Fitted Point Process Model

Plot a List of Point Patterns

Divide Region into Quadrats

quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern

Generate Poisson Point Pattern

Spatial Logistic Regression

tweak.colourmap

Change Colour Values in a Colour Map

Name for Unit of Length

Weighted kernel smoother

Update a Fitted Cluster Point Process Model

with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe

Extract Subset of Point Pattern on Linear Network

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

Multitype J Function (i-to-j)

The Lennard-Jones Potential

ANOVA for Fitted Point Process Models on Linear Network

Convert Pixel Image to Matrix

Allard-Fraley Estimator of Cluster Feature

Convex Hull of Points

Berman-Huntington points and lines data

Coefficients of Fitted Point Process Model

Convert Data to Numeric Values by Constructing Dummy Variables

Exchange X and Y Coordinates

Spatial Function Class

Intensity of Fitted Point Process Model

Fit Point Process Model to Point Pattern on Linear Network

Number of Points in a Point Pattern

Plot a Colour Map

Plot a Fitted Point Process Model on a Linear Network

Three Dimensional Point Pattern

Quadrat counting for a point pattern

Print Brief Details of a Point Pattern Dataset

Simulate Log-Gaussian Cox Process

Generate Poisson Point Pattern in Any Dimensions

Names of Tiles in a Tessellation

Cut margins from rectangle

Extract Subset of Window

Inhomogeneous Empty Space Function

Convert Data To Tessellation

Reduced Second Moment Measure

bounding.box.xy

Convex Hull of Points

Likelihood Cross Validation Bandwidth Selection for Kernel Density

Chicago Street Crime Data

Chorley-Ribble Cancer Data

Collapse Several Function Tables into One

Colour Lookup Tables

Corners of a rectangle

Exponential Energy Marks

Fry Plot of Point Pattern

Histogram of Pixel Values in an Image

Spatial Covariance of a Pixel Image

Fit a Log-Gaussian Cox Point Process by Minimum Contrast

Identify Nearest Neighbours on a Linear Network

Pairwise distances

Pair Correlation Function

Perimeter Length of Window

Partial Residuals for Point Process Model

Plot a Function Array

Force Point Process Model to be Valid

Pseudoscore Diagnostic For Fitted Model against Area-Interaction Alternative

plot a Spatial Quadrature Scheme

Convert Pixel Image to Another Unit of Length

Estimate window from points alone

Specify Simulation Window or Expansion Rule

Generate N Random Multitype Points

Generate N Uniform Random Points in Any Dimensions

Print Names and Version Numbers of Libraries Loaded

Galaxies in the Shapley Supercluster

Simple Example of Linear Network

Spokes pattern of dummy points

Fit the Thomas Point Process by Minimum Contrast

Check Whether Point Process Model is Valid

Volume of an Object

Generate Random Numbers of Points for Cell Process