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spatstat.geom (version 3.8-2)

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

86,724

Version

3.8-2

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

July 24th, 2026

Functions in spatstat.geom (3.8-2)

Subset of Quadrature Scheme

Extract or Replace Subset of a List of Things

Extract.layered

Extract or Replace Subset of a Layered Object

Extract.anylist

Extract or Replace Subset of a List of Things

Extract.hyperframe

Extract or Replace Subset of Hyperframe

Extract Subset of Multidimensional Point Pattern

Extract Subset of Line Segment Pattern

Extract Subset of Image

Extract or Replace Subset of Point Pattern

Extract Subset of Window

Feret Box Enclosing a Domain

S3 Group Generic methods for List of Images

Extract or Change the Containing Rectangle of a Spatial Object

Feret Diameter as a Function of Direction

Minkowski Sum of Windows

S3 Group Generic methods for images

Make an NA Object

Extract or Replace Subset of Tessellation

Extract.splitppp

Extract or Replace Sub-Patterns

Extract or Replace Subset of a List of Spatial Objects

Apply Affine Transformation To Line Segment Pattern

Support Function

Extract or Change the Window of a Spatial Object

Apply Affine Transformation To Window

Apply Affine Transformation To Pixel Image

Apply Affine Transformation To Point Pattern

Apply Affine Transformation

List of Objects

Fill Plot With Texture

Extract Window of Spatial Object

Reset Values in Subset of Image

Difference of Disc Areas

Apply Geometrical Transformation To Tessellation

Apply Function to Every Neighbourhood in a Point Pattern

Convert Data to Three-Dimensional Box

Combine Two Line Segment Patterns

Difference of Disc Areas

Orientation Angles of Line Segments

Area of a Window

Convert Pixel Image to Function of Coordinates

as.data.frame.owin

Convert Window to Data Frame

Check Whether Image Contains NA Values

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

Convert Data to Multi-Dimensional Box

as.data.frame.hyperframe

Coerce Hyperframe to Data Frame

as.data.frame.ppp

Coerce Point Pattern to a Data Frame

Convert to Colour Map

as.function.owin

Convert Window to Indicator Function

as.function.tess

Convert a Tessellation to a Function

Pixel Image Approximation of a Window

Convert Data To Class owin

Convert to Pixel Image

Convert Data To Layered Object

Convert Pixel Image to Matrix or Array

Convert Pixel Image to Matrix

Convert a Window to a Polygonal Window

as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern

Convert Data to Hyperframe

Distance to Boundary of Window

Distance to Boundary of Window

Create Colour Scheme for a Range of Numbers

Convert Data To Class psp

Border Region of a Window

Distance to Boundary of Window

Convert List of Two-Dimensional Spatial Objects

Convert Data To Tessellation

Convert Data To Class ppp

Bounding Box of a Window, Image, or Point Pattern

Three-Dimensional Box

Apply Function to Image Broken Down by Factor

Smallest Enclosing Circle

Centroid of a window

Apply a Function to a Point Pattern Broken Down by Factor

bounding.box.xy

Convex Hull of Points

cbind.hyperframe

Combine Hyperframes by Rows or by Columns

Buffer Distance Tessellation

Multi-Dimensional Box

Interactively Define a Polygon

Interactively Define a Rectangle

Close Pairs of Points

Interactively Measure Distance

Intersect Infinite Straight Lines with a Window

Subdivide a Window or Tessellation using a Set of Lines

Morphological Closing

Close Pairs of Points in 3 Dimensions

Interactively Add Points

Close Triples of Points

Convert and Compare Colours in Different Formats

complement.owin

Take Complement of a Window

Connected components

Extract or Assign Colour Values in a Colour Map

Test Whether Objects Are Compatible

Colour Lookup Tables

Connected Components of a Point Pattern

Test Whether Pixel Images Are Compatible

Concatenate x,y Coordinate Vectors

Determine A Common Spatial Domain And Pixel Resolution

Corners of a rectangle

Contour plot of pixel image

Connected Components of Tiles of a Tessellation

Array of Contour Plots

Convolution of Pixel Images

Distance Metric Defined by Convex Set

Convex Hull of Points

Weil's Convexifying Operation

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern

Pairwise distances between two different line segment patterns

Convert Pixel Image from Numeric to Factor

Crossing Points of Two Line Segment Patterns

crossdist.default

Pairwise distances between two different sets of points

Cover Region with Discs

Pairwise distances

Classify Points in a Point Pattern

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns

Pairwise distances between two different three-dimensional point patterns

Pairwise distances between two different point patterns

Diameter of an Object

Generate a Default Pattern of Dummy Points

default.symbolmap.ppp

Default Symbol Map for Point Pattern

default.symbolmap

Default Symbol Map for Plotting a Spatial Pattern

Geometrical Calculations for Three-Dimensional Box

default.image.colours

Default Colours for Images in Spatstat

default.colourmap

Default Colour Map for Plotting a Spatial Pattern

Delaunay Triangulation of Point Pattern

delaunayDistance

Distance on Delaunay Triangulation

Dirichlet Tessellation of Point Pattern

dirichletWeights

Compute Quadrature Weights Based on Dirichlet Tessellation

Geometrical Calculations for Multi-Dimensional Box

Compute Areas of Tiles in Dirichlet Tessellation

Areas of Morphological Dilations

Diameter of a Window

Area of Part of Disc

dirichletVertices

Vertices and Edges of Dirichlet Tessellation

Circular Window

Morphological Dilation

Distance Map of Point Pattern

Distance Map as a Function

Distance Map of Window

Extract the Domain of any Spatial Object

Distance To Boundary

Determine Duplicated Points in a Spatial Point Pattern

Safely Convert Point Pattern Window to Binary Mask

Distance Map of Line Segment Pattern

Extract Boundary Edges of a Window.

Invoke Text Editor on Spatial Data

Elliptical Window.

Endpoints of Line Segment Pattern

edges2triangles

List Triangles in a Graph

Morphological Erosion by a Disc

List Dihedral Triples in a Graph

Areas of Morphological Erosions

edit.hyperframe

Invoke Text Editor on Hyperframe

Morphological Erosion of Windows

Exchange X and Y Coordinates

Fourier Basis Functions

Spatial Function Class

Rectangular grid of points

Farthest Distance to Boundary of Window

framedist.pixels

Distance to Bounding Frame

Compute Quadrature Weights Based on Grid Counts

extrapolate.psp

Extrapolate Line Segments to Obtain Infinite Lines

Evaluate Expression Involving Pixel Images

Remove Small Holes in a Window

Make Pixel Images Compatible

harmoniseLevels

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

Add margins to box in any dimension

Check Whether Points Have Close Neighbours

Make Windows Compatible

Histogram of Values of a Spatial Function

First or Last Part of a Spatial Pattern

Hexagonal Grid or Tessellation

Add margins to rectangle

Make Objects Compatible

Apply Function Pixelwise to List of Images

Hyper Data Frame

Histogram of Pixel Values in an Image

Spatial Covariance of a Pixel Image

Class of Images

Find Largest Circle Inside Window

Interactively Identify Tiles of a Tessellation

Identify Points in a Point Pattern

Identify Segments in a Line Segment Pattern

Create a Pixel Image Object

integral.tessfun

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

Intensity of a Multidimensional Space-Time Point Pattern

Infinite Straight Lines

intensity.quadratcount

Intensity Estimates Using Quadrat Counts

Test Whether Points Are Inside A Multidimensional Box

Test Whether Points Are Inside A Window

Intensity of a Dataset or a Model

Empirical Intensity of Line Segment Pattern

Integral of a Pixel Image

Empirical Intensity of Point Pattern

invoke.symbolmap

Plot Data Using Graphics Symbol Map

Perform Geometric Task using a Specified Metric

Recognise NA Objects

interp.colourmap

Interpolate smoothly between specified colours

Determine Whether an Object is Connected

Interpolate a Pixel Image

Intersection of Two Tessellations

Intersection Of Boxes Of Arbitrary Dimension

Recognise a Multi-Dimensional Box

Intersection, Union or Set Subtraction of Windows

Test Whether An Object Is Empty

is.connected.ppp

Determine Whether a Point Pattern is Connected

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

Test Whether An Object Is A Linear Network

Test Whether Marks Are Present

Test Whether A Point Pattern is Marked

Test Whether a Window is Convex

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

Test whether Object is Multitype

Test Whether An Object Is A Pixel Image

Generate a Row or Column Arrangement of Rectangles.

Test Whether An Object Is A Point Pattern

Determine Type of Window

Test Whether An Object Is A Window

Determine Whether One Window is Contained In Another

is.na.hyperframe

Identify Missing Entries in a Hyperframe

is.multitype.ppp

Test Whether A Point Pattern is Multitype

Identify Missing Entries in a List of Spatial Objects

Create List of Plotting Layers

Extract or Replace the Plot Arguments of a Layered Object

Marks of a Tessellation

Marks of a Point Pattern

Lengths of Line Segments

Marks of a Line Segment Pattern

Compute Minimum or Maximum Nearest-Neighbour Distance

Level Set of a Pixel Image

Distance for a Point Pattern Matching

Summarise Marks in Every Neighbourhood in a Point Pattern

levelset.distfun

Level Set of a Distance Function

Merge Groups of Tiles in a Tessellation

Methods for Multidimensional Space-Time Point Patterns

Methods for three-dimensional point patterns

methods.distfun

Geometrical Operations for Distance Functions

Merge Levels of a Factor

Methods for Three-Dimensional Box

Methods for Spatial Functions

Methods for Multi-Dimensional Box

methods.layered

Methods for Layered Objects

Mean and Median of Pixel Values in an Image

Nearest Neighbours Between Two Patterns in 3D

Midpoints of Line Segment Pattern

Find Line Segment Nearest to Each Point

Nearest Neighbours Between Two Patterns

nearest.raster.point

Find Pixel Nearest to a Given Point

Distance Metric

Image of Nearest Defined Pixel Value

multiplicity.ppp

Count Multiplicity of Duplicate Points

methods.unitname

Methods for Units

Nearest Neighbours Between Two Patterns in Any Dimensions

Nearest neighbour distances

Nearest Neighbour Distances in Any Dimensions

Nearest neighbours in three dimensions

K-th Nearest Point Map

Nearest neighbour distances in three dimensions

Nearest Neighbour Index Map as a Function

Mark of Nearest Neighbour

Nearest neighbour

Nearest neighbour distances between line segments

Compute Area of Overlap

Convert Window to Binary Mask under Constraints

Number of Points in a Point Pattern

Morphological Opening

Create a Window

Nearest Neighbours in Any Dimensions

Number of Line Segments in a Line Segment Pattern

Count Number of Vertices

Count Number of Geometrical Objects in a Spatial Dataset

Pairwise distances

Pad the Border of a Pixel Image

Pairwise distances between line segments

pairdist.default

Pairwise distances

Perimeter Length of Window

Colour Map for pH Values

Pairwise distances

Make Periodic Copies of a Spatial Pattern

Pairwise distances in Three Dimensions

Pairwise Distances in Any Dimensions

Extract Pixel Centres as Point Pattern

Convert Window to Pixel Image

Convert Spatial Object to Pixel Image

Convert Line Segment Pattern to Pixel Image

Convert Point Pattern to Pixel Image

Draw Points or Lines on a Surface Viewed in Perspective

Perspective Plot of Pixel Image

Plot a List of Things

Quadrature Scheme Based on Pixel Grid

Perspective Plot of Marked Point Pattern

Plot a Colour Map

Plot a List of Images

plot a Spatial Point Pattern

Plot a Spatial Window

plot.hyperframe

Plot Entries in a Hyperframe

Plot a List of Things

Plot a Pixel Image

Plot a Three-Dimensional Point Pattern

plot.pppmatching

Plot a Point Matching

Plot a Spatial Quadrature Scheme

plot.quadratcount

Plot Quadrat Counts

Plot a List of Spatial Objects

Plot a List of Point Patterns

plot a Spatial Line Segment Pattern

Plot a Graphics Symbol Map

plot.textstring

Plot a Text String

plot.texturemap

Plot a Texture Map

Plot a Tessellation

Three Dimensional Point Pattern

Create a Point Pattern

Create a Point Matching

Place Points Evenly Along Specified Lines

pppmatching.object

Class of Point Matchings

Tessellation Using Polar Coordinates

Distance Between Two Point Patterns

Polar Body and Voronoi Flower

Plot a Yardstick or Scale Bar

Class of Point Patterns

Print Brief Details of an Image

Multidimensional Space-Time Point Pattern

Print Progress Reports

Print Brief Details of a Spatial Window

Print Brief Details of a Point Pattern Dataset

Print a Quadrature Scheme

Print Brief Details of a Line Segment Pattern Dataset

Create a Line Segment Pattern

project2segment

Move Point To Nearest Line

Find Nearest Point in a Region

Class of Quadrature Schemes

Convert Line Segment Pattern to Binary Pixel Mask

Quadrat counting for a point pattern

Quantile Tessellation

Divide Region into Quadrats

quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern

Quantile Function for Images

Sample Quantiles of Pixel Image

Generate a Quadrature Scheme from a Point Pattern

Class of Line Segment Patterns

Cartesian Coordinates for a Pixel Raster

Create A Regular Polygon

Require a Specific Version of a Package

Generate Quasirandom Point Pattern in Given Window

Distance Map Using Rectangular Distance Metric

Reflect In Origin

Reorder Levels of a Factor-Valued Image or Pattern

Convert dataset to another unit of length

Convert Pixel Image to Another Unit of Length

Quasirandom Patterns

Create Colour-Valued Pixel Image

Convert Point Pattern to Another Unit of Length

rescue.rectangle

Convert Window Back To Rectangle

Explode a Point Pattern by Displacing Duplicated Points

Random Perturbation of a Point Pattern

Convert Line Segment Pattern to Another Unit of Length

Reverse the Colours in a Colour Map

Estimate window from points alone

Convert Window to Another Unit of Length

restrict.colourmap

Restrict a Colour Map to a Subset of Values

Generate grid of parallel lines with random displacement

Detect Numerical Rounding

Rotate a Point Pattern

Apply Numerical Rounding to Spatial Coordinates

Rotate a Pixel Image

Random Perturbation of a 3D Point Pattern

Rotate or Shift Infinite Lines

Rotate a Line Segment Pattern

Rotate a Window

scaletointerval

Rescale Data to Lie Between Specified Limits

Print Names and Version Numbers of Libraries Loaded

Set Covariance of a Window

Read Point Pattern From Data File

Cut Line Segments Where They Intersect

Generate N Uniform Random Points in a Rectangle

Apply Scalar Dilation

run.simplepanel

Run Point-and-Click Interface

selfcrossing.psp

Crossing Points in a Line Segment Pattern

Simulate systematic random point pattern

Apply Vector Translation

Apply Vector Translation To Pixel Image

Simple Point-and-Click Interface Panels

Apply Vector Translation To Window

Apply Vector Translation To Point Pattern

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

Apply Vector Translation To Box Or Point Pattern In Arbitrary Dimension

Apply Vector Translation To Line Segment Pattern

Approximate a Window by a Simpler Polygon

sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window

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

Spatial Dimension of a Dataset

spatstat.geom-deprecated

Deprecated spatstat.geom functions

spatstat.geom-internal

Internal spatstat.geom functions

spatstat.options

Internal Options in Spatstat Package

List of Two-Dimensional Spatial Objects

Divide Image Into Sub-images

Divide Point Pattern into Sub-patterns

split.hyperframe

Divide Hyperframe Into Subsets and Reassemble

spatstat.geom-package

The spatstat.geom Package

subset.hyperframe

Subset of Hyperframe Satisfying A Condition

summary.anylist

Summary of a List of Things

Subset of Line Segment Satisfying A Condition

Subset of Point Pattern Satisfying A Condition

Spokes pattern of dummy points

Stratified random point pattern

Summarizing a Pixel Image

Divide Multidimensional Point Pattern into Sub-patterns

summary.distfun

Summarizing a Function of Spatial Location

summary.splitppp

Summary of a Split Point Pattern

Summarizing a Quadrature Scheme

Create a Tessellation

Summary of a List of Things

Graphics Symbol Map

Superimpose Several Geometric Patterns

Summary of a Spatial Window

Summary of a List of Spatial Objects

Summary of a Line Segment Pattern Dataset

Summary of a Point Pattern Dataset

Extract List of Tiles in a Tessellation

Add Text Labels to Spatial Pattern

Check For Empty Tiles in a Tessellation

test.crossing.psp

Check Whether Segments Cross

Compute Areas of Tiles in a Tessellation

Determine Which Tile Contains Each Given Point

Compute Centroids of Tiles in a Tessellation

Names of Tiles in a Tessellation

Plot Image or Tessellation Using Texture Fill

Union of Data and Dummy Points

Cut margins from rectangle

Extract the Total Computation Time

Record the Computation Time

Name for Unit of Length

Map Duplicate Entries to Unique Entries

tweak.colourmap

Change Colour Values in a Colour Map

triangulate.owin

Decompose Window into Triangles

Convert Pixel Array Between Different Conventions

Extract Unique Points from a Spatial Point Pattern

Unstack Each Spatial Object in a List of Objects

Vertices of a Window

Separate Multiple Columns of Marks

Find Location of Maximum in a Pixel Image

update.symbolmap

Update a Graphics Symbol Map.

Test Which Side of Infinite Line a Point Falls On

with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe

Tessellation Delimited by Several Sets

Volume of an Object

Rounding of Pixel Values

Text, Arrow or Scale Bar in a Diagram