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spatstat.geom (version 3.5-0)

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

64,669

Version

3.5-0

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

July 20th, 2025

Functions in spatstat.geom (3.5-0)

Extract or Replace Subset of Point Pattern

Subset of Quadrature Scheme

Extract or Replace Subset of a List of Things

Extract Subset of Multidimensional Point Pattern

Extract Subset of Image

Extract Subset of Line Segment Pattern

Extract.layered

Extract or Replace Subset of a Layered Object

Extract Subset of Window

Extract.hyperframe

Extract or Replace Subset of Hyperframe

Extract.anylist

Extract or Replace Subset of a List of Things

Make an NA Object

Orientation Angles of Line Segments

Extract.splitppp

Extract or Replace Sub-Patterns

Extract or Change the Containing Rectangle of a Spatial Object

S3 Group Generic methods for images

Apply Affine Transformation To Line Segment Pattern

Reset Values in Subset of Image

Extract or Replace Subset of a List of Spatial Objects

Check Whether Image Contains NA Values

Convert Data to Three-Dimensional Box

Apply Affine Transformation To Point Pattern

Extract or Change the Window of a Spatial Object

Fill Plot With Texture

Apply Geometrical Transformation To Tessellation

S3 Group Generic methods for List of Images

List of Objects

Extract Window of Spatial Object

as.data.frame.tess

Convert Tessellation to Data Frame

Extract or Replace Subset of Tessellation

Apply Affine Transformation To Window

Convert Data to Multi-Dimensional Box

Minkowski Sum of Windows

as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame

Convert Data to Hyperframe

as.data.frame.hyperframe

Coerce Hyperframe to Data Frame

as.data.frame.ppp

Coerce Point Pattern to a Data Frame

Convert Pixel Image to Function of Coordinates

as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern

Combine Two Line Segment Patterns

Convert to Colour Map

Apply Affine Transformation

Apply Affine Transformation To Pixel Image

Area of a Window

as.function.owin

Convert Window to Indicator Function

Apply Function to Every Neighbourhood in a Point Pattern

Difference of Disc Areas

Convert Data To Class psp

Convert Data To Layered Object

Convert to Pixel Image

as.function.tess

Convert a Tessellation to a Function

Border Region of a Window

as.data.frame.im

Convert Pixel Image to Data Frame

bounding.box.xy

Convex Hull of Points

Difference of Disc Areas

Morphological Closing

Create Colour Scheme for a Range of Numbers

Interactively Measure Distance

Colour Lookup Tables

Convert a Window to a Polygonal Window

Close Pairs of Points

Smallest Enclosing Circle

Distance to Boundary of Window

Pixel Image Approximation of a Window

Bounding Box of a Window, Image, or Point Pattern

Convert Pixel Image to Matrix or Array

Interactively Define a Rectangle

Three-Dimensional Box

Intersect Infinite Straight Lines with a Window

Apply a Function to a Point Pattern Broken Down by Factor

as.data.frame.owin

Convert Window to Data Frame

Contour plot of pixel image

Array of Contour Plots

Convert Pixel Image to Matrix

Convert Data To Tessellation

Convert Data To Class owin

Convert List of Two-Dimensional Spatial Objects

Convert Data To Class ppp

complement.owin

Take Complement of a Window

Test Whether Pixel Images Are Compatible

cbind.hyperframe

Combine Hyperframes by Rows or by Columns

Extract or Assign Colour Values in a Colour Map

Buffer Distance Tessellation

Apply Function to Image Broken Down by Factor

Distance to Boundary of Window

Distance to Boundary of Window

Weil's Convexifying Operation

Convolution of Pixel Images

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern

Distance Metric Defined by Convex Set

Pairwise distances between two different three-dimensional point patterns

Pairwise distances between two different point patterns

Pairwise distances

Close Pairs of Points in 3 Dimensions

Close Triples of Points

Concatenate x,y Coordinate Vectors

Multi-Dimensional Box

Determine A Common Spatial Domain And Pixel Resolution

Convert and Compare Colours in Different Formats

Connected components

Test Whether Objects Are Compatible

Diameter of an Object

Centroid of a window

delaunayDistance

Distance on Delaunay Triangulation

Convex Hull of Points

Generate a Default Pattern of Dummy Points

Classify Points in a Point Pattern

Geometrical Calculations for Three-Dimensional Box

Areas of Morphological Dilations

crossdist.default

Pairwise distances between two different sets of points

Morphological Dilation

Geometrical Calculations for Multi-Dimensional Box

Diameter of a Window

Crossing Points of Two Line Segment Patterns

Convert Pixel Image from Numeric to Factor

Subdivide a Window or Tessellation using a Set of Lines

Dirichlet Tessellation of Point Pattern

Interactively Define a Polygon

dirichletVertices

Vertices and Edges of Dirichlet Tessellation

Extract Boundary Edges of a Window.

Determine Duplicated Points in a Spatial Point Pattern

Extract the Domain of any Spatial Object

extrapolate.psp

Extrapolate Line Segments to Obtain Infinite Lines

Compute Areas of Tiles in Dirichlet Tessellation

Corners of a rectangle

Elliptical Window.

Distance Map of Line Segment Pattern

Connected Components of a Point Pattern

Farthest Distance to Boundary of Window

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns

Connected Components of Tiles of a Tessellation

default.image.colours

Default Colours for Images in Spatstat

Cover Region with Discs

Interactively Add Points

Endpoints of Line Segment Pattern

Add margins to rectangle

Circular Window

dirichletWeights

Compute Quadrature Weights Based on Dirichlet Tessellation

Make Objects Compatible

Distance Map as a Function

Area of Part of Disc

Pairwise distances between two different line segment patterns

Areas of Morphological Erosions

Distance Map of Point Pattern

Distance Map of Window

Identify Points in a Point Pattern

Hyper Data Frame

Fourier Basis Functions

Morphological Erosion by a Disc

Spatial Function Class

Invoke Text Editor on Spatial Data

integral.tessfun

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

Integral of a Pixel Image

Interpolate a Pixel Image

Infinite Straight Lines

Intersection Of Boxes Of Arbitrary Dimension

Intensity of a Multidimensional Space-Time Point Pattern

Determine Whether an Object is Connected

Empirical Intensity of Line Segment Pattern

is.connected.ppp

Determine Whether a Point Pattern is Connected

Test Whether a Window is Convex

Test Whether An Object Is A Window

Test Whether An Object Is Empty

Test Whether Marks Are Present

Test Whether A Point Pattern is Marked

is.na.hyperframe

Identify Missing Entries in a Hyperframe

Determine Whether One Window is Contained In Another

Determine Type of Window

Apply Function Pixelwise to List of Images

Histogram of Pixel Values in an Image

Test Whether An Object Is A Linear Network

interp.colourmap

Interpolate smoothly between specified colours

Create a Pixel Image Object

intensity.quadratcount

Intensity Estimates Using Quadrat Counts

Methods for Three-Dimensional Box

Intersection of Two Tessellations

Intersection, Union or Set Subtraction of Windows

Generate a Row or Column Arrangement of Rectangles.

Lengths of Line Segments

Identify Missing Entries in a List of Spatial Objects

Methods for Multi-Dimensional Box

Methods for three-dimensional point patterns

methods.layered

Methods for Layered Objects

invoke.symbolmap

Plot Data Using Graphics Symbol Map

Marks of a Point Pattern

Perform Geometric Task using a Specified Metric

Nearest Neighbour Distances in Any Dimensions

Nearest neighbour distances between line segments

Nearest neighbours in three dimensions

Nearest Neighbours Between Two Patterns in 3D

Nearest Neighbours in Any Dimensions

Nearest Neighbours Between Two Patterns in Any Dimensions

Morphological Opening

Compute Area of Overlap

Create a Window

Convert Window to Binary Mask under Constraints

Colour Map for pH Values

Perspective Plot of Marked Point Pattern

Count Number of Vertices

Pairwise distances

Number of Line Segments in a Line Segment Pattern

Pad the Border of a Pixel Image

Draw Points or Lines on a Surface Viewed in Perspective

Pairwise distances between line segments

edges2triangles

List Triangles in a Graph

Evaluate Expression Involving Pixel Images

Morphological Erosion of Windows

edit.hyperframe

Invoke Text Editor on Hyperframe

framedist.pixels

Distance to Bounding Frame

Safely Convert Point Pattern Window to Binary Mask

default.symbolmap

Default Symbol Map for Plotting a Spatial Pattern

Hexagonal Grid or Tessellation

First or Last Part of a Spatial Pattern

Compute Quadrature Weights Based on Grid Counts

Spatial Covariance of a Pixel Image

Identify Segments in a Line Segment Pattern

Class of Images

Add margins to box in any dimension

Interactively Identify Tiles of a Tessellation

Test Whether Points Are Inside A Window

Rectangular grid of points

Test Whether Points Are Inside A Multidimensional Box

harmoniseLevels

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

Intensity of a Dataset or a Model

Check Whether Points Have Close Neighbours

Empirical Intensity of Point Pattern

Recognise NA Objects

Test Whether An Object Is A Pixel Image

Find Largest Circle Inside Window

Test whether Object is Multitype

Test Whether An Object Is A Point Pattern

Recognise a Multi-Dimensional Box

Delaunay Triangulation of Point Pattern

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

List Dihedral Triples in a Graph

Remove Small Holes in a Window

Exchange X and Y Coordinates

default.symbolmap.ppp

Default Symbol Map for Point Pattern

Make Pixel Images Compatible

Marks of a Tessellation

Summarise Marks in Every Neighbourhood in a Point Pattern

Level Set of a Pixel Image

is.multitype.ppp

Test Whether A Point Pattern is Multitype

Histogram of Values of a Spatial Function

Make Windows Compatible

Midpoints of Line Segment Pattern

methods.distfun

Geometrical Operations for Distance Functions

Methods for Multidimensional Space-Time Point Patterns

Methods for Spatial Functions

Distance Metric

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

methods.unitname

Methods for Units

Distance for a Point Pattern Matching

nearest.raster.point

Find Pixel Nearest to a Given Point

Create List of Plotting Layers

Extract or Replace the Plot Arguments of a Layered Object

Compute Minimum or Maximum Nearest-Neighbour Distance

multiplicity.ppp

Count Multiplicity of Duplicate Points

Marks of a Line Segment Pattern

Mean and Median of Pixel Values in an Image

Merge Levels of a Factor

Pairwise distances in Three Dimensions

Image of Nearest Defined Pixel Value

pairdist.default

Pairwise distances

Convert Window to Pixel Image

Convert Point Pattern to Pixel Image

Perimeter Length of Window

Make Periodic Copies of a Spatial Pattern

Perspective Plot of Pixel Image

Plot a List of Things

Plot a Colour Map

Plot a Pixel Image

plot.hyperframe

Plot Entries in a Hyperframe

Plot a List of Things

Plot a List of Spatial Objects

plot.pppmatching

Plot a Point Matching

Plot a Spatial Quadrature Scheme

Tessellation Using Polar Coordinates

plot.textstring

Plot a Text String

Three Dimensional Point Pattern

Plot a Tessellation

plot.texturemap

Plot a Texture Map

Place Points Evenly Along Specified Lines

Create a Point Pattern

Plot a Yardstick or Scale Bar

Distance Between Two Point Patterns

Print a Quadrature Scheme

Create a Point Matching

pppmatching.object

Class of Point Matchings

Convert Line Segment Pattern to Binary Pixel Mask

Class of Line Segment Patterns

quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern

Print Brief Details of an Image

Cartesian Coordinates for a Pixel Raster

Distance Map Using Rectangular Distance Metric

Convert Window to Another Unit of Length

Convert Point Pattern to Another Unit of Length

Require a Specific Version of a Package

Simulate systematic random point pattern

Convert dataset to another unit of length

Cut Line Segments Where They Intersect

Reorder Levels of a Factor-Valued Image or Pattern

Quadrat counting for a point pattern

Explode a Point Pattern by Displacing Duplicated Points

restrict.colourmap

Restrict a Colour Map to a Subset of Values

Class of Quadrature Schemes

Convert Line Segment Pattern to Another Unit of Length

Rotate a Pixel Image

Rotate or Shift Infinite Lines

Approximate a Window by a Simpler Polygon

Simple Point-and-Click Interface Panels

run.simplepanel

Run Point-and-Click Interface

rescue.rectangle

Convert Window Back To Rectangle

Apply Vector Translation To Pixel Image

Apply Vector Translation To Window

Apply Vector Translation

Apply Vector Translation To Point Pattern

Apply Vector Translation To Box Or Point Pattern In Arbitrary Dimension

Generate N Uniform Random Points in a Rectangle

Divide Image Into Sub-images

split.hyperframe

Divide Hyperframe Into Subsets and Reassemble

List of Two-Dimensional Spatial Objects

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

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

Spatial Dimension of a Dataset

summary.anylist

Summary of a List of Things

subset.hyperframe

Subset of Hyperframe Satisfying A Condition

Stratified random point pattern

summary.distfun

Summarizing a Function of Spatial Location

Spokes pattern of dummy points

Superimpose Several Geometric Patterns

Summary of a Line Segment Pattern Dataset

Graphics Symbol Map

Summary of a Spatial Window

Summary of a List of Spatial Objects

summary.splitppp

Summary of a Split Point Pattern

Summary of a Point Pattern Dataset

Summarizing a Pixel Image

Create a Tessellation

test.crossing.psp

Check Whether Segments Cross

Map Duplicate Entries to Unique Entries

Compute Areas of Tiles in a Tessellation

Plot Image or Tessellation Using Texture Fill

tweak.colourmap

Change Colour Values in a Colour Map

Cut margins from rectangle

Extract Unique Points from a Spatial Point Pattern

Union of Data and Dummy Points

Unstack Each Spatial Object in a List of Objects

update.symbolmap

Update a Graphics Symbol Map.

Separate Multiple Columns of Marks

with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe

Test Which Side of Infinite Line a Point Falls On

Find Line Segment Nearest to Each Point

Number of Points in a Point Pattern

Count Number of Geometrical Objects in a Spatial Dataset

Pairwise distances

Extract Pixel Centres as Point Pattern

Convert Line Segment Pattern to Pixel Image

Quadrature Scheme Based on Pixel Grid

plot.quadratcount

Plot Quadrat Counts

Plot a Three-Dimensional Point Pattern

Plot a Spatial Window

plot a Spatial Line Segment Pattern

Class of Point Patterns

Multidimensional Space-Time Point Pattern

Print Brief Details of a Spatial Window

Print Brief Details of a Point Pattern Dataset

Generate Quasirandom Point Pattern in Given Window

Quasirandom Patterns

Reflect In Origin

Rotate a Window

Rotate a Point Pattern

Estimate window from points alone

Quantile Function for Images

Random Perturbation of a Point Pattern

Apply Scalar Dilation

scaletointerval

Rescale Data to Lie Between Specified Limits

spatstat.geom-package

The spatstat.geom Package

sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window

Apply Vector Translation To Line Segment Pattern

Subset of Point Pattern Satisfying A Condition

Subset of Line Segment Satisfying A Condition

Summary of a List of Things

Summarizing a Quadrature Scheme

Add Text Labels to Spatial Pattern

Check For Empty Tiles in a Tessellation

Extract List of Tiles in a Tessellation

Convert Pixel Array Between Different Conventions

Name for Unit of Length

Vertices of a Window

Tessellation Delimited by Several Sets

Mark of Nearest Neighbour

Nearest neighbour

K-th Nearest Point Map

Nearest Neighbour Index Map as a Function

Nearest neighbour distances

Pairwise Distances in Any Dimensions

Nearest neighbour distances in three dimensions

Nearest Neighbours Between Two Patterns

Convert Spatial Object to Pixel Image

Plot a List of Images

Plot a Graphics Symbol Map

Plot a List of Point Patterns

plot a Spatial Point Pattern

Print Progress Reports

Print Brief Details of a Line Segment Pattern Dataset

Quantile Tessellation

project2segment

Move Point To Nearest Line

Find Nearest Point in a Region

Create a Line Segment Pattern

Sample Quantiles of Pixel Image

Generate a Quadrature Scheme from a Point Pattern

Create A Regular Polygon

Divide Region into Quadrats

Generate grid of parallel lines with random displacement

Convert Pixel Image to Another Unit of Length

Detect Numerical Rounding

Create Colour-Valued Pixel Image

Print Names and Version Numbers of Libraries Loaded

Rotate a Line Segment Pattern

Set Covariance of a Window

selfcrossing.psp

Crossing Points in a Line Segment Pattern

Reverse the Colours in a Colour Map

Read Point Pattern From Data File

Apply Numerical Rounding to Spatial Coordinates

Determine Which Tile Contains Each Given Point

Names of Tiles in a Tessellation

Extract the Total Computation Time

Record the Computation Time

spatstat.geom-deprecated

Deprecated spatstat.geom functions

spatstat.geom-internal

Internal spatstat.geom functions

Volume of an Object

Find Location of Maximum in a Pixel Image

Rounding of Pixel Values

Text, Arrow or Scale Bar in a Diagram

triangulate.owin

Decompose Window into Triangles

spatstat.options

Internal Options in Spatstat Package

Divide Point Pattern into Sub-patterns

Divide Multidimensional Point Pattern into Sub-patterns