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spatstat.geom (version 3.7-0)

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

82,872

Version

3.7-0

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

January 20th, 2026

Functions in spatstat.geom (3.7-0)

Extract Subset of Image

Extract Subset of Multidimensional Point Pattern

Extract.anylist

Extract or Replace Subset of a List of Things

Extract or Replace Subset of Point Pattern

Extract.hyperframe

Extract or Replace Subset of Hyperframe

Extract Subset of Window

Extract or Replace Subset of a List of Things

Extract Subset of Line Segment Pattern

Subset of Quadrature Scheme

Extract.layered

Extract or Replace Subset of a Layered Object

Extract or Change the Window of a Spatial Object

Extract or Change the Containing Rectangle of a Spatial Object

Extract or Replace Subset of a List of Spatial Objects

Extract.splitppp

Extract or Replace Sub-Patterns

Reset Values in Subset of Image

S3 Group Generic methods for images

Make an NA Object

Extract or Replace Subset of Tessellation

Minkowski Sum of Windows

S3 Group Generic methods for List of Images

Apply Affine Transformation To Window

Fill Plot With Texture

Apply Affine Transformation To Point Pattern

Check Whether Image Contains NA Values

Apply Geometrical Transformation To Tessellation

Extract Window of Spatial Object

Apply Affine Transformation To Line Segment Pattern

Orientation Angles of Line Segments

Apply Affine Transformation

Apply Affine Transformation To Pixel Image

Difference of Disc Areas

Difference of Disc Areas

Convert to Colour Map

Convert Data to Multi-Dimensional Box

as.data.frame.hyperframe

Coerce Hyperframe to Data Frame

Convert Data to Three-Dimensional Box

List of Objects

Apply Function to Every Neighbourhood in a Point Pattern

Combine Two Line Segment Patterns

as.function.owin

Convert Window to Indicator Function

Area of a Window

Convert Data to Hyperframe

as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern

as.data.frame.tess

Convert Tessellation to Data Frame

as.function.tess

Convert a Tessellation to a Function

Convert Pixel Image to Function of Coordinates

as.data.frame.owin

Convert Window to Data Frame

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.ppp

Coerce Point Pattern to a Data Frame

Convert Pixel Image to Matrix

Convert to Pixel Image

Convert Pixel Image to Matrix or Array

Pixel Image Approximation of a Window

Convert a Window to a Polygonal Window

Convert Data To Class owin

Convert Data To Class psp

Convert Data To Class ppp

Convert Data To Layered Object

Distance to Boundary of Window

Distance to Boundary of Window

bounding.box.xy

Convex Hull of Points

Create Colour Scheme for a Range of Numbers

Smallest Enclosing Circle

Border Region of a Window

Convert Data To Tessellation

Distance to Boundary of Window

Bounding Box of a Window, Image, or Point Pattern

Convert List of Two-Dimensional Spatial Objects

cbind.hyperframe

Combine Hyperframes by Rows or by Columns

Three-Dimensional Box

Interactively Measure Distance

Apply Function to Image Broken Down by Factor

Interactively Define a Rectangle

Multi-Dimensional Box

Centroid of a window

Apply a Function to a Point Pattern Broken Down by Factor

Subdivide a Window or Tessellation using a Set of Lines

Buffer Distance Tessellation

Morphological Closing

Close Pairs of Points in 3 Dimensions

Convert and Compare Colours in Different Formats

Close Pairs of Points

Colour Lookup Tables

Interactively Define a Polygon

Interactively Add Points

Intersect Infinite Straight Lines with a Window

Extract or Assign Colour Values in a Colour Map

Close Triples of Points

Connected Components of a Point Pattern

Test Whether Objects Are Compatible

Determine A Common Spatial Domain And Pixel Resolution

Concatenate x,y Coordinate Vectors

Contour plot of pixel image

Array of Contour Plots

complement.owin

Take Complement of a Window

Test Whether Pixel Images Are Compatible

Connected components

Connected Components of Tiles of a Tessellation

Convex Hull of Points

Weil's Convexifying Operation

Pairwise distances

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern

Distance Metric Defined by Convex Set

crossdist.default

Pairwise distances between two different sets of points

Convolution of Pixel Images

Corners of a rectangle

Cover Region with Discs

Convert Pixel Image from Numeric to Factor

Generate a Default Pattern of Dummy Points

Crossing Points of Two Line Segment Patterns

default.image.colours

Default Colours for Images in Spatstat

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns

Classify Points in a Point Pattern

Pairwise distances between two different line segment patterns

Pairwise distances between two different three-dimensional point patterns

default.colourmap

Default Colour Map for Plotting a Spatial Pattern

Pairwise distances between two different point patterns

Diameter of an Object

delaunayDistance

Distance on Delaunay Triangulation

Delaunay Triangulation of Point Pattern

default.symbolmap

Default Symbol Map for Plotting a Spatial Pattern

Diameter of a Window

Areas of Morphological Dilations

Geometrical Calculations for Multi-Dimensional Box

default.symbolmap.ppp

Default Symbol Map for Point Pattern

Geometrical Calculations for Three-Dimensional Box

Circular Window

Area of Part of Disc

Safely Convert Point Pattern Window to Binary Mask

Compute Areas of Tiles in Dirichlet Tessellation

Morphological Dilation

dirichletWeights

Compute Quadrature Weights Based on Dirichlet Tessellation

Distance Map as a Function

Dirichlet Tessellation of Point Pattern

dirichletVertices

Vertices and Edges of Dirichlet Tessellation

Distance Map of Point Pattern

Extract Boundary Edges of a Window.

Distance Map of Line Segment Pattern

Extract the Domain of any Spatial Object

Distance Map of Window

List Dihedral Triples in a Graph

edges2triangles

List Triangles in a Graph

Determine Duplicated Points in a Spatial Point Pattern

edit.hyperframe

Invoke Text Editor on Hyperframe

Farthest Distance to Boundary of Window

Invoke Text Editor on Spatial Data

Morphological Erosion by a Disc

Morphological Erosion of Windows

Areas of Morphological Erosions

Remove Small Holes in a Window

extrapolate.psp

Extrapolate Line Segments to Obtain Infinite Lines

Endpoints of Line Segment Pattern

Evaluate Expression Involving Pixel Images

Elliptical Window.

Rectangular grid of points

Fourier Basis Functions

Compute Quadrature Weights Based on Grid Counts

Make Objects Compatible

Spatial Function Class

framedist.pixels

Distance to Bounding Frame

Add margins to rectangle

Make Pixel Images Compatible

Exchange X and Y Coordinates

Add margins to box in any dimension

Hexagonal Grid or Tessellation

harmoniseLevels

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

Check Whether Points Have Close Neighbours

Identify Segments in a Line Segment Pattern

Histogram of Values of a Spatial Function

First or Last Part of a Spatial Pattern

Identify Points in a Point Pattern

Histogram of Pixel Values in an Image

Make Windows Compatible

Hyper Data Frame

Test Whether Points Are Inside A Multidimensional Box

Test Whether Points Are Inside A Window

Integral of a Pixel Image

Create a Pixel Image Object

Interactively Identify Tiles of a Tessellation

Infinite Straight Lines

Spatial Covariance of a Pixel Image

Class of Images

Apply Function Pixelwise to List of Images

Find Largest Circle Inside Window

Interpolate a Pixel Image

Intensity of a Multidimensional Space-Time Point Pattern

Empirical Intensity of Point Pattern

interp.colourmap

Interpolate smoothly between specified colours

intensity.quadratcount

Intensity Estimates Using Quadrat Counts

Intersection, Union or Set Subtraction of Windows

Empirical Intensity of Line Segment Pattern

integral.tessfun

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

Intensity of a Dataset or a Model

Intersection Of Boxes Of Arbitrary Dimension

Test Whether An Object Is Empty

Recognise NA Objects

invoke.symbolmap

Plot Data Using Graphics Symbol Map

Intersection of Two Tessellations

Perform Geometric Task using a Specified Metric

Determine Whether an Object is Connected

Test Whether a Window is Convex

Recognise a Multi-Dimensional Box

is.connected.ppp

Determine Whether a Point Pattern is Connected

Test Whether An Object Is A Pixel Image

Identify Missing Entries in a List of Spatial Objects

Test Whether An Object Is A Window

Test whether Object is Multitype

is.multitype.ppp

Test Whether A Point Pattern is Multitype

Test Whether An Object Is A Linear Network

Test Whether A Point Pattern is Marked

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

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

Test Whether Marks Are Present

is.na.hyperframe

Identify Missing Entries in a Hyperframe

Lengths of Line Segments

Level Set of a Pixel Image

Test Whether An Object Is A Point Pattern

Determine Type of Window

Create List of Plotting Layers

Generate a Row or Column Arrangement of Rectangles.

Determine Whether One Window is Contained In Another

levelset.distfun

Level Set of a Distance Function

Extract or Replace the Plot Arguments of a Layered Object

Compute Minimum or Maximum Nearest-Neighbour Distance

Marks of a Line Segment Pattern

Merge Levels of a Factor

Mean and Median of Pixel Values in an Image

Methods for Multi-Dimensional Box

Summarise Marks in Every Neighbourhood in a Point Pattern

Methods for Three-Dimensional Box

Distance for a Point Pattern Matching

Marks of a Point Pattern

Marks of a Tessellation

methods.distfun

Geometrical Operations for Distance Functions

Methods for Multidimensional Space-Time Point Patterns

methods.layered

Methods for Layered Objects

methods.unitname

Methods for Units

nearest.raster.point

Find Pixel Nearest to a Given Point

multiplicity.ppp

Count Multiplicity of Duplicate Points

Distance Metric

Methods for Spatial Functions

Methods for three-dimensional point patterns

Midpoints of Line Segment Pattern

Nearest neighbour distances in three dimensions

Nearest Neighbour Distances in Any Dimensions

Nearest neighbour distances

Nearest Neighbours Between Two Patterns

Image of Nearest Defined Pixel Value

Nearest Neighbours Between Two Patterns in Any Dimensions

Nearest Neighbours Between Two Patterns in 3D

Find Line Segment Nearest to Each Point

Nearest neighbour distances between line segments

Nearest Neighbour Index Map as a Function

Number of Points in a Point Pattern

Count Number of Geometrical Objects in a Spatial Dataset

Nearest neighbours in three dimensions

Nearest neighbour

Count Number of Vertices

Nearest Neighbours in Any Dimensions

Number of Line Segments in a Line Segment Pattern

Mark of Nearest Neighbour

K-th Nearest Point Map

Pairwise distances in Three Dimensions

Pad the Border of a Pixel Image

Convert Window to Binary Mask under Constraints

Create a Window

Compute Area of Overlap

Morphological Opening

Pairwise distances

pairdist.default

Pairwise distances

Colour Map for pH Values

Draw Points or Lines on a Surface Viewed in Perspective

Convert Window to Pixel Image

Quadrature Scheme Based on Pixel Grid

Perimeter Length of Window

Perspective Plot of Pixel Image

Pairwise Distances in Any Dimensions

Pairwise distances between line segments

Pairwise distances

Make Periodic Copies of a Spatial Pattern

Extract Pixel Centres as Point Pattern

Plot a List of Things

Convert Line Segment Pattern to Pixel Image

Convert Point Pattern to Pixel Image

Plot a List of Images

Plot a Pixel Image

Plot a Colour Map

Convert Spatial Object to Pixel Image

Perspective Plot of Marked Point Pattern

plot.hyperframe

Plot Entries in a Hyperframe

plot.quadratcount

Plot Quadrat Counts

plot.pppmatching

Plot a Point Matching

Plot a Spatial Quadrature Scheme

Plot a Three-Dimensional Point Pattern

plot a Spatial Point Pattern

plot a Spatial Line Segment Pattern

Plot a List of Spatial Objects

Plot a Spatial Window

Plot a List of Things

Plot a Tessellation

Plot a Yardstick or Scale Bar

Plot a Graphics Symbol Map

Create a Point Pattern

Tessellation Using Polar Coordinates

Place Points Evenly Along Specified Lines

Three Dimensional Point Pattern

plot.textstring

Plot a Text String

Plot a List of Point Patterns

plot.texturemap

Plot a Texture Map

Print Brief Details of a Spatial Window

Print Brief Details of a Point Pattern Dataset

Print Brief Details of a Line Segment Pattern Dataset

Multidimensional Space-Time Point Pattern

Print a Quadrature Scheme

Print Brief Details of an Image

pppmatching.object

Class of Point Matchings

Class of Point Patterns

Create a Point Matching

Distance Between Two Point Patterns

Class of Quadrature Schemes

Class of Line Segment Patterns

Find Nearest Point in a Region

project2segment

Move Point To Nearest Line

Generate a Quadrature Scheme from a Point Pattern

Convert Line Segment Pattern to Binary Pixel Mask

Quadrat counting for a point pattern

Print Progress Reports

Create a Line Segment Pattern

Divide Region into Quadrats

Quasirandom Patterns

Sample Quantiles of Pixel Image

Generate Quasirandom Point Pattern in Given Window

Cartesian Coordinates for a Pixel Raster

quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern

Reflect In Origin

Distance Map Using Rectangular Distance Metric

Quantile Function for Images

Quantile Tessellation

Create A Regular Polygon

Convert Line Segment Pattern to Another Unit of Length

restrict.colourmap

Restrict a Colour Map to a Subset of Values

Convert Point Pattern to Another Unit of Length

Require a Specific Version of a Package

Reorder Levels of a Factor-Valued Image or Pattern

Convert Window to Another Unit of Length

Convert Pixel Image to Another Unit of Length

Reverse the Colours in a Colour Map

Convert dataset to another unit of length

rescue.rectangle

Convert Window Back To Rectangle

Estimate window from points alone

Rotate a Window

Random Perturbation of a Point Pattern

Generate grid of parallel lines with random displacement

Rotate or Shift Infinite Lines

Create Colour-Valued Pixel Image

Rotate a Point Pattern

Explode a Point Pattern by Displacing Duplicated Points

Rotate a Pixel Image

Generate N Uniform Random Points in a Rectangle

Rotate a Line Segment Pattern

Read Point Pattern From Data File

Apply Scalar Dilation

Detect Numerical Rounding

run.simplepanel

Run Point-and-Click Interface

selfcrossing.psp

Crossing Points in a Line Segment Pattern

Simulate systematic random point pattern

scaletointerval

Rescale Data to Lie Between Specified Limits

Apply Numerical Rounding to Spatial Coordinates

Set Covariance of a Window

Cut Line Segments Where They Intersect

Print Names and Version Numbers of Libraries Loaded

Apply Vector Translation To Point Pattern

Apply Vector Translation

Apply Vector Translation To Window

sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window

Apply Vector Translation To Box Or Point Pattern In Arbitrary Dimension

Apply Vector Translation To Pixel Image

Apply Vector Translation To Line Segment Pattern

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

Spatial Dimension of a Dataset

spatstat.geom-deprecated

Deprecated spatstat.geom functions

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

Approximate a Window by a Simpler Polygon

spatstat.options

Internal Options in Spatstat Package

spatstat.geom-internal

Internal spatstat.geom functions

List of Two-Dimensional Spatial Objects

spatstat.geom-package

The spatstat.geom Package

Simple Point-and-Click Interface Panels

Divide Point Pattern into Sub-patterns

split.hyperframe

Divide Hyperframe Into Subsets and Reassemble

Subset of Point Pattern Satisfying A Condition

Subset of Line Segment Satisfying A Condition

Divide Image Into Sub-images

Divide Multidimensional Point Pattern into Sub-patterns

subset.hyperframe

Subset of Hyperframe Satisfying A Condition

Stratified random point pattern

Spokes pattern of dummy points

Summary of a List of Spatial Objects

summary.splitppp

Summary of a Split Point Pattern

Summary of a Line Segment Pattern Dataset

Summarizing a Quadrature Scheme

Summary of a List of Things

summary.distfun

Summarizing a Function of Spatial Location

Summary of a Point Pattern Dataset

Summarizing a Pixel Image

summary.anylist

Summary of a List of Things

Summary of a Spatial Window

test.crossing.psp

Check Whether Segments Cross

Compute Centroids of Tiles in a Tessellation

Superimpose Several Geometric Patterns

Add Text Labels to Spatial Pattern

Determine Which Tile Contains Each Given Point

Plot Image or Tessellation Using Texture Fill

Create a Tessellation

Graphics Symbol Map

Compute Areas of Tiles in a Tessellation

Union of Data and Dummy Points

Convert Pixel Array Between Different Conventions

Extract the Total Computation Time

triangulate.owin

Decompose Window into Triangles

Names of Tiles in a Tessellation

Record the Computation Time

tweak.colourmap

Change Colour Values in a Colour Map

Check For Empty Tiles in a Tessellation

Cut margins from rectangle

Extract List of Tiles in a Tessellation

Vertices of a Window

Separate Multiple Columns of Marks

update.symbolmap

Update a Graphics Symbol Map.

Name for Unit of Length

Volume of an Object

Map Duplicate Entries to Unique Entries

Tessellation Delimited by Several Sets

Unstack Each Spatial Object in a List of Objects

Extract Unique Points from a Spatial Point Pattern

Text, Arrow or Scale Bar in a Diagram

Find Location of Maximum in a Pixel Image

with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe

Test Which Side of Infinite Line a Point Falls On

Rounding of Pixel Values