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spatstat.geom (version 3.8-3)

Geometrical Functionality of the 'spatstat' Family

Description

Defines spatial data types and supports geometrical operations on them. Data types include point patterns, windows (domains), pixel images, line segment patterns, tessellations and hyperframes. Capabilities include creation and manipulation of data (using command line or graphical interaction), plotting, geometrical operations (rotation, shift, rescale, affine transformation), convex hull, discretisation and pixellation, Dirichlet tessellation, Delaunay triangulation, pairwise distances, nearest-neighbour distances, distance transform, morphological operations (erosion, dilation, closing, opening), quadrat counting, geometrical measurement, geometrical covariance, colour maps, calculus on spatial domains, Gaussian blur, level sets of images, transects of images, intersections between objects, minimum distance matching. (Excludes spatial data on a network, which are supported by the package 'spatstat.linnet'.)

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Version

Install

install.packages('spatstat.geom')

Monthly Downloads

70,517

Version

3.8-3

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

September 18th, 2026

Functions in spatstat.geom (3.8-3)

Extract Subset of Line Segment Pattern

Extract Subset of Multidimensional Point Pattern

Extract.hyperframe

Extract or Replace Subset of Hyperframe

Extract or Replace Subset of a List of Things

Subset of Quadrature Scheme

Extract Subset of Window

Extract or Replace Subset of Point Pattern

Extract.anylist

Extract or Replace Subset of a List of Things

Extract Subset of Image

Extract or Change the Containing Rectangle of a Spatial Object

Extract or Replace Subset of Tessellation

Extract.layered

Extract or Replace Subset of a Layered Object

S3 Group Generic methods for images

Extract.splitppp

Extract or Replace Sub-Patterns

S3 Group Generic methods for List of Images

Feret Diameter as a Function of Direction

Extract or Replace Subset of a List of Spatial Objects

Make an NA Object

Apply Affine Transformation To Pixel Image

Support Function

Fill Plot With Texture

Feret Box Enclosing a Domain

Extract Window of Spatial Object

Reset Values in Subset of Image

Minkowski Sum of Windows

Apply Affine Transformation To Window

Extract or Change the Window of a Spatial Object

Apply Affine Transformation

Apply Affine Transformation To Point Pattern

Convert Data to Three-Dimensional Box

Apply Geometrical Transformation To Tessellation

Apply Affine Transformation To Line Segment Pattern

Difference of Disc Areas

Orientation Angles of Line Segments

Check Whether Image Contains NA Values

Area of a Window

List of Objects

Difference of Disc Areas

Combine Two Line Segment Patterns

Apply Function to Every Neighbourhood in a Point Pattern

Convert Data to Multi-Dimensional Box

as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame

as.data.frame.tess

Convert Tessellation to Data Frame

as.data.frame.ppp

Coerce Point Pattern to a Data Frame

as.data.frame.owin

Convert Window to Data Frame

Convert Pixel Image to Function of Coordinates

as.data.frame.hyperframe

Coerce Hyperframe to Data Frame

as.data.frame.im

Convert Pixel Image to Data Frame

Convert to Colour Map

as.function.owin

Convert Window to Indicator Function

Convert to Pixel Image

as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern

as.function.tess

Convert a Tessellation to a Function

Convert Data to Hyperframe

Convert a Window to a Polygonal Window

Convert Data To Layered Object

Convert Pixel Image to Matrix

Pixel Image Approximation of a Window

Convert Pixel Image to Matrix or Array

Convert Data To Class owin

Create Colour Scheme for a Range of Numbers

Convert Data To Class psp

Convert List of Two-Dimensional Spatial Objects

Convert Data To Tessellation

Border Region of a Window

Distance to Boundary of Window

Distance to Boundary of Window

Distance to Boundary of Window

Convert Data To Class ppp

Multi-Dimensional Box

Centroid of a window

Buffer Distance Tessellation

bounding.box.xy

Convex Hull of Points

Three-Dimensional Box

Smallest Enclosing Circle

Bounding Box of a Window, Image, or Point Pattern

cbind.hyperframe

Combine Hyperframes by Rows or by Columns

Apply Function to Image Broken Down by Factor

Apply a Function to a Point Pattern Broken Down by Factor

Interactively Define a Rectangle

Subdivide a Window or Tessellation using a Set of Lines

Morphological Closing

Close Pairs of Points

Intersect Infinite Straight Lines with a Window

Interactively Add Points

Close Pairs of Points in 3 Dimensions

Interactively Define a Polygon

Interactively Measure Distance

Close Triples of Points

Convert and Compare Colours in Different Formats

complement.owin

Take Complement of a Window

Connected components

Concatenate x,y Coordinate Vectors

Test Whether Pixel Images Are Compatible

Connected Components of a Point Pattern

Test Whether Objects Are Compatible

Extract or Assign Colour Values in a Colour Map

Determine A Common Spatial Domain And Pixel Resolution

Colour Lookup Tables

Convex Hull of Points

Corners of a rectangle

Distance Metric Defined by Convex Set

Weil's Convexifying Operation

Convolution of Pixel Images

Array of Contour Plots

Connected Components of Tiles of a Tessellation

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern

Contour plot of pixel image

crossdist.default

Pairwise distances between two different sets of points

Pairwise distances between two different three-dimensional point patterns

Convert Pixel Image from Numeric to Factor

Cover Region with Discs

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns

Pairwise distances between two different point patterns

Classify Points in a Point Pattern

Crossing Points of Two Line Segment Patterns

Pairwise distances

Pairwise distances between two different line segment patterns

default.image.colours

Default Colours for Images in Spatstat

Geometrical Calculations for Three-Dimensional Box

delaunayDistance

Distance on Delaunay Triangulation

default.colourmap

Default Colour Map for Plotting a Spatial Pattern

Generate a Default Pattern of Dummy Points

default.symbolmap

Default Symbol Map for Plotting a Spatial Pattern

Delaunay Triangulation of Point Pattern

Diameter of an Object

default.symbolmap.ppp

Default Symbol Map for Point Pattern

Areas of Morphological Dilations

Geometrical Calculations for Multi-Dimensional Box

Morphological Dilation

Circular Window

Compute Areas of Tiles in Dirichlet Tessellation

dirichletWeights

Compute Quadrature Weights Based on Dirichlet Tessellation

Diameter of a Window

Dirichlet Tessellation of Point Pattern

Area of Part of Disc

dirichletVertices

Vertices and Edges of Dirichlet Tessellation

Distance Map of Window

Extract the Domain of any Spatial Object

Distance To Boundary

Distance Map of Point Pattern

Distance Map of Line Segment Pattern

Distance Map as a Function

Safely Convert Point Pattern Window to Binary Mask

Determine Duplicated Points in a Spatial Point Pattern

Endpoints of Line Segment Pattern

Morphological Erosion by a Disc

Morphological Erosion of Windows

List Dihedral Triples in a Graph

edit.hyperframe

Invoke Text Editor on Hyperframe

Elliptical Window.

Areas of Morphological Erosions

Invoke Text Editor on Spatial Data

edges2triangles

List Triangles in a Graph

Extract Boundary Edges of a Window.

Exchange X and Y Coordinates

Fourier Basis Functions

Spatial Function Class

framedist.pixels

Distance to Bounding Frame

Evaluate Expression Involving Pixel Images

extrapolate.psp

Extrapolate Line Segments to Obtain Infinite Lines

Remove Small Holes in a Window

Compute Quadrature Weights Based on Grid Counts

Rectangular grid of points

Farthest Distance to Boundary of Window

Add margins to box in any dimension

Make Windows Compatible

harmoniseLevels

Harmonise the levels of several factors, or factor-valued pixel images.

Make Pixel Images Compatible

Histogram of Values of a Spatial Function

Add margins to rectangle

Make Objects Compatible

First or Last Part of a Spatial Pattern

Check Whether Points Have Close Neighbours

Hexagonal Grid or Tessellation

Class of Images

Hyper Data Frame

Apply Function Pixelwise to List of Images

Find Largest Circle Inside Window

Create a Pixel Image Object

Histogram of Pixel Values in an Image

Identify Points in a Point Pattern

Identify Segments in a Line Segment Pattern

Interactively Identify Tiles of a Tessellation

Spatial Covariance of a Pixel Image

Empirical Intensity of Point Pattern

Intensity of a Multidimensional Space-Time Point Pattern

intensity.quadratcount

Intensity Estimates Using Quadrat Counts

integral.tessfun

Integrate a Function Which is Constant on Each Tile of a Tessellation

Intensity of a Dataset or a Model

Test Whether Points Are Inside A Multidimensional Box

Infinite Straight Lines

Test Whether Points Are Inside A Window

Integral of a Pixel Image

Empirical Intensity of Line Segment Pattern

Intersection of Two Tessellations

Intersection Of Boxes Of Arbitrary Dimension

Recognise NA Objects

invoke.symbolmap

Plot Data Using Graphics Symbol Map

Recognise a Multi-Dimensional Box

Perform Geometric Task using a Specified Metric

interp.colourmap

Interpolate smoothly between specified colours

Interpolate a Pixel Image

Determine Whether an Object is Connected

Intersection, Union or Set Subtraction of Windows

Test Whether An Object Is A Linear Network

Test Whether A Point Pattern is Marked

Test Whether a Window is Convex

Test Whether An Object Is Empty

Test Whether An Object Is A Pixel Image

is.connected.ppp

Determine Whether a Point Pattern is Connected

Test whether Object is Multitype

Test Whether an Object is a Pixel Image on a Linear Network

Identify Missing Entries in a List of Spatial Objects

Generate a Row or Column Arrangement of Rectangles.

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

Extract or Replace the Plot Arguments of a Layered Object

is.multitype.ppp

Test Whether A Point Pattern is Multitype

is.na.hyperframe

Identify Missing Entries in a Hyperframe

Test Whether An Object Is A Window

Test Whether Marks Are Present

Determine Type of Window

Test Whether An Object Is A Point Pattern

Create List of Plotting Layers

Determine Whether One Window is Contained In Another

Lengths of Line Segments

Compute Minimum or Maximum Nearest-Neighbour Distance

Level Set of a Pixel Image

Marks of a Tessellation

Marks of a Line Segment Pattern

Summarise Marks in Every Neighbourhood in a Point Pattern

levelset.distfun

Level Set of a Distance Function

Distance for a Point Pattern Matching

Marks of a Point Pattern

methods.distfun

Geometrical Operations for Distance Functions

Merge Levels of a Factor

Merge Groups of Tiles in a Tessellation

Methods for three-dimensional point patterns

Methods for Multi-Dimensional Box

Methods for Spatial Functions

Mean and Median of Pixel Values in an Image

Methods for Multidimensional Space-Time Point Patterns

methods.layered

Methods for Layered Objects

Methods for Three-Dimensional Box

Distance Metric

Image of Nearest Defined Pixel Value

methods.unitname

Methods for Units

Midpoints of Line Segment Pattern

Nearest Neighbours Between Two Patterns

nearest.raster.point

Find Pixel Nearest to a Given Point

Nearest Neighbours Between Two Patterns in 3D

Find Line Segment Nearest to Each Point

multiplicity.ppp

Count Multiplicity of Duplicate Points

Nearest Neighbour Index Map as a Function

Mark of Nearest Neighbour

K-th Nearest Point Map

Nearest neighbour

Compute Area of Overlap

Nearest neighbours in three dimensions

Convert Window to Binary Mask under Constraints

Nearest neighbour distances between line segments

Number of Points in a Point Pattern

Nearest Neighbours Between Two Patterns in Any Dimensions

Perimeter Length of Window

Pairwise Distances in Any Dimensions

Create a Window

Nearest neighbour distances

Number of Line Segments in a Line Segment Pattern

Nearest Neighbour Distances in Any Dimensions

Convert Point Pattern to Pixel Image

Pairwise distances

Pairwise distances between line segments

Pairwise distances in Three Dimensions

Count Number of Vertices

Nearest neighbour distances in three dimensions

Pairwise distances

Count Number of Geometrical Objects in a Spatial Dataset

Convert Spatial Object to Pixel Image

Make Periodic Copies of a Spatial Pattern

pairdist.default

Pairwise distances

Draw Points or Lines on a Surface Viewed in Perspective

Nearest Neighbours in Any Dimensions

Convert Line Segment Pattern to Pixel Image

Pad the Border of a Pixel Image

Convert Window to Pixel Image

Perspective Plot of Pixel Image

Morphological Opening

Quadrature Scheme Based on Pixel Grid

Perspective Plot of Marked Point Pattern

Colour Map for pH Values

Plot a List of Things

Extract Pixel Centres as Point Pattern

Plot a List of Things

Plot a Spatial Window

Plot a Colour Map

plot a Spatial Point Pattern

Plot a Three-Dimensional Point Pattern

Plot a Pixel Image

Plot a List of Images

plot.hyperframe

Plot Entries in a Hyperframe

Plot a List of Point Patterns

Plot a List of Spatial Objects

plot.pppmatching

Plot a Point Matching

Plot a Spatial Quadrature Scheme

plot.quadratcount

Plot Quadrat Counts

Plot a Graphics Symbol Map

Plot a Tessellation

Tessellation Using Polar Coordinates

plot a Spatial Line Segment Pattern

Create a Point Matching

Polar Body and Voronoi Flower

Three Dimensional Point Pattern

Plot a Yardstick or Scale Bar

pppmatching.object

Class of Point Matchings

Place Points Evenly Along Specified Lines

plot.textstring

Plot a Text String

Create a Point Pattern

Print Progress Reports

project2segment

Move Point To Nearest Line

Class of Point Patterns

Create a Line Segment Pattern

Find Nearest Point in a Region

plot.texturemap

Plot a Texture Map

Multidimensional Space-Time Point Pattern

Print Brief Details of a Point Pattern Dataset

Distance Between Two Point Patterns

Print Brief Details of a Spatial Window

Print Brief Details of a Line Segment Pattern Dataset

Print Brief Details of an Image

Print a Quadrature Scheme

Generate a Quadrature Scheme from a Point Pattern

Divide Region into Quadrats

Cartesian Coordinates for a Pixel Raster

Require a Specific Version of a Package

Class of Line Segment Patterns

Convert Line Segment Pattern to Binary Pixel Mask

Reorder Levels of a Factor-Valued Image or Pattern

Distance Map Using Rectangular Distance Metric

quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern

Generate Quasirandom Point Pattern in Given Window

Quantile Tessellation

Class of Quadrature Schemes

Create A Regular Polygon

Quasirandom Patterns

Quadrat counting for a point pattern

Reflect In Origin

Quantile Function for Images

Sample Quantiles of Pixel Image

Convert dataset to another unit of length

Convert Point Pattern to Another Unit of Length

Convert Window to Another Unit of Length

Convert Pixel Image to Another Unit of Length

Detect Numerical Rounding

Apply Numerical Rounding to Spatial Coordinates

Rotate a Window

Create Colour-Valued Pixel Image

Explode a Point Pattern by Displacing Duplicated Points

Random Perturbation of a Point Pattern

Simulate systematic random point pattern

restrict.colourmap

Restrict a Colour Map to a Subset of Values

Reverse the Colours in a Colour Map

run.simplepanel

Run Point-and-Click Interface

Convert Line Segment Pattern to Another Unit of Length

Estimate window from points alone

Generate grid of parallel lines with random displacement

Rotate or Shift Infinite Lines

scaletointerval

Rescale Data to Lie Between Specified Limits

Read Point Pattern From Data File

rescue.rectangle

Convert Window Back To Rectangle

Random Perturbation of a 3D Point Pattern

Apply Vector Translation To Point Pattern

Apply Vector Translation To Window

selfcrossing.psp

Crossing Points in a Line Segment Pattern

Approximate a Window by a Simpler Polygon

Apply Vector Translation To Line Segment Pattern

Apply Vector Translation To Box Or Point Pattern In Arbitrary Dimension

Apply a Function Over a List and Obtain a List of Objects

Cut Line Segments Where They Intersect

Rotate a Point Pattern

Rotate a Pixel Image

Rotate a Line Segment Pattern

Print Names and Version Numbers of Libraries Loaded

Apply Scalar Dilation

Set Covariance of a Window

Generate N Uniform Random Points in a Rectangle

Simple Point-and-Click Interface Panels

sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window

Apply Vector Translation

Apply Vector Translation To Pixel Image

Spatial Dimension of a Dataset

spatstat.geom-internal

Internal spatstat.geom functions

spatstat.geom-deprecated

Deprecated spatstat.geom functions

List of Two-Dimensional Spatial Objects

spatstat.options

Internal Options in Spatstat Package

spatstat.geom-package

The spatstat.geom Package

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

split.hyperframe

Divide Hyperframe Into Subsets and Reassemble

Divide Point Pattern into Sub-patterns

Divide Image Into Sub-images

summary.distfun

Summarizing a Function of Spatial Location

Subset of Line Segment Satisfying A Condition

Subset of Point Pattern Satisfying A Condition

Summarizing a Pixel Image

Divide Multidimensional Point Pattern into Sub-patterns

summary.anylist

Summary of a List of Things

subset.hyperframe

Subset of Hyperframe Satisfying A Condition

Stratified random point pattern

Spokes pattern of dummy points

Summarizing a Quadrature Scheme

Create a Tessellation

Summary of a Spatial Window

Superimpose Several Geometric Patterns

Summary of a List of Things

summary.splitppp

Summary of a Split Point Pattern

Summary of a List of Spatial Objects

Summary of a Point Pattern Dataset

Graphics Symbol Map

Summary of a Line Segment Pattern Dataset

Plot Image or Tessellation Using Texture Fill

Add Text Labels to Spatial Pattern

Compute Centroids of Tiles in a Tessellation

Compute Areas of Tiles in a Tessellation

Extract List of Tiles in a Tessellation

test.crossing.psp

Check Whether Segments Cross

Names of Tiles in a Tessellation

Determine Which Tile Contains Each Given Point

Check For Empty Tiles in a Tessellation

Convert Pixel Array Between Different Conventions

Record the Computation Time

Cut margins from rectangle

tweak.colourmap

Change Colour Values in a Colour Map

Extract the Total Computation Time

Union of Data and Dummy Points

Extract Unique Points from a Spatial Point Pattern

Map Duplicate Entries to Unique Entries

Name for Unit of Length

triangulate.owin

Decompose Window into Triangles

Unstack Each Spatial Object in a List of Objects

Separate Multiple Columns of Marks

Tessellation Delimited by Several Sets

Test Which Side of Infinite Line a Point Falls On

Volume of an Object

Vertices of a Window

with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe

update.symbolmap

Update a Graphics Symbol Map.

Find Location of Maximum in a Pixel Image

Rounding of Pixel Values

Text, Arrow or Scale Bar in a Diagram