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spatstat.geom (version 3.6-1)

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

98,308

Version

3.6-1

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

November 20th, 2025

Functions in spatstat.geom (3.6-1)

Extract Subset of Image

Subset of Quadrature Scheme

Extract Subset of Line Segment Pattern

Extract or Replace Subset of a List of Things

Extract Subset of Window

Extract or Replace Subset of Point Pattern

Extract Subset of Multidimensional Point Pattern

Extract.anylist

Extract or Replace Subset of a List of Things

Extract.hyperframe

Extract or Replace Subset of Hyperframe

Extract.layered

Extract or Replace Subset of a Layered Object

Extract or Replace Subset of Tessellation

Reset Values in Subset of Image

S3 Group Generic methods for images

Extract.splitppp

Extract or Replace Sub-Patterns

Extract or Change the Containing Rectangle of a Spatial Object

S3 Group Generic methods for List of Images

Make an NA Object

Minkowski Sum of Windows

Extract or Change the Window of a Spatial Object

Extract or Replace Subset of a List of Spatial Objects

Apply Affine Transformation To Pixel Image

Apply Affine Transformation

Apply Affine Transformation To Line Segment Pattern

Fill Plot With Texture

Apply Geometrical Transformation To Tessellation

Apply Affine Transformation To Window

Orientation Angles of Line Segments

Check Whether Image Contains NA Values

Extract Window of Spatial Object

Apply Affine Transformation To Point Pattern

Difference of Disc Areas

Convert to Colour Map

List of Objects

Convert Data to Three-Dimensional Box

Difference of Disc Areas

Combine Two Line Segment Patterns

as.data.frame.hyperframe

Coerce Hyperframe to Data Frame

Convert Data to Multi-Dimensional Box

as.data.frame.psp

Coerce Line Segment Pattern to a Data Frame

as.data.frame.ppp

Coerce Point Pattern to a Data Frame

as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern

Area of a Window

as.data.frame.owin

Convert Window to Data Frame

Convert Data to Hyperframe

as.function.tess

Convert a Tessellation to a Function

as.data.frame.tess

Convert Tessellation to Data Frame

Apply Function to Every Neighbourhood in a Point Pattern

as.function.owin

Convert Window to Indicator Function

Convert Pixel Image to Function of Coordinates

as.data.frame.im

Convert Pixel Image to Data Frame

Pixel Image Approximation of a Window

Convert a Window to a Polygonal Window

Convert to Pixel Image

Convert Data To Layered Object

Convert Data To Class psp

Convert Pixel Image to Matrix

Convert Data To Class owin

Convert Data To Class ppp

Bounding Box of a Window, Image, or Point Pattern

Distance to Boundary of Window

Convert Pixel Image to Matrix or Array

Create Colour Scheme for a Range of Numbers

Distance to Boundary of Window

Distance to Boundary of Window

Smallest Enclosing Circle

Convert List of Two-Dimensional Spatial Objects

Apply Function to Image Broken Down by Factor

Convert Data To Tessellation

Buffer Distance Tessellation

Interactively Define a Rectangle

Interactively Measure Distance

Border Region of a Window

Subdivide a Window or Tessellation using a Set of Lines

bounding.box.xy

Convex Hull of Points

Centroid of a window

Multi-Dimensional Box

Three-Dimensional Box

Apply a Function to a Point Pattern Broken Down by Factor

Intersect Infinite Straight Lines with a Window

Interactively Define a Polygon

cbind.hyperframe

Combine Hyperframes by Rows or by Columns

Close Pairs of Points

Close Pairs of Points in 3 Dimensions

Close Triples of Points

Interactively Add Points

Test Whether Pixel Images Are Compatible

complement.owin

Take Complement of a Window

Determine A Common Spatial Domain And Pixel Resolution

Test Whether Objects Are Compatible

Concatenate x,y Coordinate Vectors

Connected components

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern

Connected Components of Tiles of a Tessellation

Connected Components of a Point Pattern

Convolution of Pixel Images

Distance Metric Defined by Convex Set

Weil's Convexifying Operation

crossdist.default

Pairwise distances between two different sets of points

Pairwise distances

Convert and Compare Colours in Different Formats

Extract or Assign Colour Values in a Colour Map

Morphological Closing

Array of Contour Plots

Contour plot of pixel image

Convex Hull of Points

Pairwise distances between two different line segment patterns

Crossing Points of Two Line Segment Patterns

Cover Region with Discs

Corners of a rectangle

Colour Lookup Tables

default.image.colours

Default Colours for Images in Spatstat

Convert Pixel Image from Numeric to Factor

default.symbolmap

Default Symbol Map for Plotting a Spatial Pattern

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns

Pairwise distances between two different point patterns

Classify Points in a Point Pattern

Pairwise distances between two different three-dimensional point patterns

Diameter of an Object

Geometrical Calculations for Three-Dimensional Box

default.symbolmap.ppp

Default Symbol Map for Point Pattern

delaunayDistance

Distance on Delaunay Triangulation

Generate a Default Pattern of Dummy Points

Morphological Dilation

Areas of Morphological Dilations

Diameter of a Window

dirichletWeights

Compute Quadrature Weights Based on Dirichlet Tessellation

Geometrical Calculations for Multi-Dimensional Box

dirichletVertices

Vertices and Edges of Dirichlet Tessellation

Dirichlet Tessellation of Point Pattern

Compute Areas of Tiles in Dirichlet Tessellation

Circular Window

Area of Part of Disc

Safely Convert Point Pattern Window to Binary Mask

Delaunay Triangulation of Point Pattern

Distance Map as a Function

Extract the Domain of any Spatial Object

Invoke Text Editor on Spatial Data

edit.hyperframe

Invoke Text Editor on Hyperframe

Extract Boundary Edges of a Window.

Determine Duplicated Points in a Spatial Point Pattern

Distance Map of Line Segment Pattern

edges2triangles

List Triangles in a Graph

List Dihedral Triples in a Graph

Distance Map of Window

Remove Small Holes in a Window

Elliptical Window.

Morphological Erosion of Windows

extrapolate.psp

Extrapolate Line Segments to Obtain Infinite Lines

Distance Map of Point Pattern

Farthest Distance to Boundary of Window

Exchange X and Y Coordinates

Morphological Erosion by a Disc

Evaluate Expression Involving Pixel Images

Areas of Morphological Erosions

Make Objects Compatible

Add margins to rectangle

Compute Quadrature Weights Based on Grid Counts

Add margins to box in any dimension

framedist.pixels

Distance to Bounding Frame

Fourier Basis Functions

Rectangular grid of points

Spatial Function Class

Endpoints of Line Segment Pattern

Identify Segments in a Line Segment Pattern

Interactively Identify Tiles of a Tessellation

Make Pixel Images Compatible

Make Windows Compatible

Histogram of Pixel Values in an Image

Histogram of Values of a Spatial Function

Check Whether Points Have Close Neighbours

harmoniseLevels

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

Integral of a Pixel Image

Hexagonal Grid or Tessellation

Test Whether Points Are Inside A Multidimensional Box

Test Whether Points Are Inside A Window

Spatial Covariance of a Pixel Image

Apply Function Pixelwise to List of Images

First or Last Part of a Spatial Pattern

Class of Images

Create a Pixel Image Object

integral.tessfun

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

Hyper Data Frame

Identify Points in a Point Pattern

Infinite Straight Lines

Find Largest Circle Inside Window

Intensity of a Multidimensional Space-Time Point Pattern

intensity.quadratcount

Intensity Estimates Using Quadrat Counts

Intersection, Union or Set Subtraction of Windows

Intensity of a Dataset or a Model

Empirical Intensity of Point Pattern

Interpolate a Pixel Image

Intersection Of Boxes Of Arbitrary Dimension

is.connected.ppp

Determine Whether a Point Pattern is Connected

Determine Whether an Object is Connected

Intersection of Two Tessellations

interp.colourmap

Interpolate smoothly between specified colours

Test Whether An Object Is A Pixel Image

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

Perform Geometric Task using a Specified Metric

Empirical Intensity of Line Segment Pattern

is.multitype.ppp

Test Whether A Point Pattern is Multitype

is.na.hyperframe

Identify Missing Entries in a Hyperframe

invoke.symbolmap

Plot Data Using Graphics Symbol Map

Identify Missing Entries in a List of Spatial Objects

Test Whether An Object Is A Window

Test whether Object is Multitype

Test Whether An Object Is A Linear Network

Test Whether Marks Are Present

Test Whether An Object Is Empty

Test Whether A Point Pattern is Marked

Test Whether a Window is Convex

Recognise NA Objects

Test Whether An Object Is A Point Pattern

Recognise a Multi-Dimensional Box

Generate a Row or Column Arrangement of Rectangles.

Create List of Plotting Layers

Extract or Replace the Plot Arguments of a Layered Object

Lengths of Line Segments

Marks of a Line Segment Pattern

Marks of a Point Pattern

Marks of a Tessellation

Determine Whether One Window is Contained In Another

Determine Type of Window

Mean and Median of Pixel Values in an Image

methods.distfun

Geometrical Operations for Distance Functions

Level Set of a Pixel Image

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

Merge Levels of a Factor

Methods for Spatial Functions

Summarise Marks in Every Neighbourhood in a Point Pattern

Find Line Segment Nearest to Each Point

Image of Nearest Defined Pixel Value

Distance Metric

Midpoints of Line Segment Pattern

Compute Minimum or Maximum Nearest-Neighbour Distance

Distance for a Point Pattern Matching

methods.layered

Methods for Layered Objects

Methods for three-dimensional point patterns

nearest.raster.point

Find Pixel Nearest to a Given Point

Methods for Multi-Dimensional Box

Methods for Multidimensional Space-Time Point Patterns

Methods for Three-Dimensional Box

multiplicity.ppp

Count Multiplicity of Duplicate Points

methods.unitname

Methods for Units

K-th Nearest Point Map

Nearest Neighbour Index Map as a Function

Nearest Neighbours Between Two Patterns in 3D

Nearest Neighbours Between Two Patterns

Nearest neighbour distances

Nearest neighbour distances between line segments

Nearest Neighbours Between Two Patterns in Any Dimensions

Nearest neighbour distances in three dimensions

Nearest Neighbour Distances in Any Dimensions

Mark of Nearest Neighbour

Count Number of Geometrical Objects in a Spatial Dataset

Morphological Opening

Count Number of Vertices

Nearest neighbours in three dimensions

Nearest neighbour

Number of Points in a Point Pattern

Nearest Neighbours in Any Dimensions

Compute Area of Overlap

Number of Line Segments in a Line Segment Pattern

Pairwise Distances in Any Dimensions

Pairwise distances in Three Dimensions

Pairwise distances

Pad the Border of a Pixel Image

Create a Window

Convert Window to Binary Mask under Constraints

Colour Map for pH Values

Pairwise distances

pairdist.default

Pairwise distances

Pairwise distances between line segments

Extract Pixel Centres as Point Pattern

Perspective Plot of Marked Point Pattern

Draw Points or Lines on a Surface Viewed in Perspective

Make Periodic Copies of a Spatial Pattern

Perimeter Length of Window

Convert Window to Pixel Image

Convert Point Pattern to Pixel Image

Perspective Plot of Pixel Image

Convert Spatial Object to Pixel Image

Plot a Pixel Image

Plot a List of Things

Quadrature Scheme Based on Pixel Grid

Plot a List of Things

Plot a List of Images

plot.hyperframe

Plot Entries in a Hyperframe

Plot a Colour Map

Convert Line Segment Pattern to Pixel Image

Plot a Spatial Quadrature Scheme

plot a Spatial Line Segment Pattern

Plot a Spatial Window

plot.pppmatching

Plot a Point Matching

Plot a Three-Dimensional Point Pattern

Plot a Graphics Symbol Map

plot.quadratcount

Plot Quadrat Counts

Plot a List of Point Patterns

plot a Spatial Point Pattern

Plot a List of Spatial Objects

Three Dimensional Point Pattern

Plot a Yardstick or Scale Bar

Distance Between Two Point Patterns

Class of Point Patterns

Place Points Evenly Along Specified Lines

Plot a Tessellation

plot.texturemap

Plot a Texture Map

Create a Point Pattern

Tessellation Using Polar Coordinates

plot.textstring

Plot a Text String

Print Progress Reports

Print Brief Details of a Spatial Window

Print Brief Details of a Point Pattern Dataset

Create a Point Matching

Print a Quadrature Scheme

project2segment

Move Point To Nearest Line

Print Brief Details of a Line Segment Pattern Dataset

Multidimensional Space-Time Point Pattern

Print Brief Details of an Image

pppmatching.object

Class of Point Matchings

Class of Quadrature Schemes

Quadrat counting for a point pattern

quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern

Class of Line Segment Patterns

Convert Line Segment Pattern to Binary Pixel Mask

Find Nearest Point in a Region

Divide Region into Quadrats

Generate a Quadrature Scheme from a Point Pattern

Quantile Tessellation

Create a Line Segment Pattern

Quasirandom Patterns

Require a Specific Version of a Package

Reorder Levels of a Factor-Valued Image or Pattern

Quantile Function for Images

Sample Quantiles of Pixel Image

Reflect In Origin

Generate Quasirandom Point Pattern in Given Window

Create A Regular Polygon

Convert Line Segment Pattern to Another Unit of Length

Distance Map Using Rectangular Distance Metric

Convert Window to Another Unit of Length

Explode a Point Pattern by Displacing Duplicated Points

Convert Pixel Image to Another Unit of Length

Create Colour-Valued Pixel Image

Cartesian Coordinates for a Pixel Raster

Convert dataset to another unit of length

restrict.colourmap

Restrict a Colour Map to a Subset of Values

rescue.rectangle

Convert Window Back To Rectangle

Convert Point Pattern to Another Unit of Length

Apply Numerical Rounding to Spatial Coordinates

Rotate a Pixel Image

Rotate or Shift Infinite Lines

Rotate a Window

Rotate a Line Segment Pattern

Rotate a Point Pattern

Generate grid of parallel lines with random displacement

Random Perturbation of a Point Pattern

Reverse the Colours in a Colour Map

Estimate window from points alone

selfcrossing.psp

Crossing Points in a Line Segment Pattern

Read Point Pattern From Data File

scaletointerval

Rescale Data to Lie Between Specified Limits

Apply Scalar Dilation

Detect Numerical Rounding

Cut Line Segments Where They Intersect

Simulate systematic random point pattern

Print Names and Version Numbers of Libraries Loaded

Apply Vector Translation To Window

Apply Vector Translation To Pixel Image

sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window

Apply Vector Translation To Line Segment Pattern

Simple Point-and-Click Interface Panels

Approximate a Window by a Simpler Polygon

Generate N Uniform Random Points in a Rectangle

run.simplepanel

Run Point-and-Click Interface

Apply Vector Translation

Set Covariance of a Window

Apply Vector Translation To Point Pattern

Apply Vector Translation To Box Or Point Pattern In Arbitrary Dimension

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

spatstat.geom-deprecated

Deprecated spatstat.geom functions

spatstat.geom-internal

Internal spatstat.geom functions

Spatial Dimension of a Dataset

List of Two-Dimensional Spatial Objects

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

spatstat.options

Internal Options in Spatstat Package

split.hyperframe

Divide Hyperframe Into Subsets and Reassemble

spatstat.geom-package

The spatstat.geom Package

Divide Image Into Sub-images

summary.distfun

Summarizing a Function of Spatial Location

Subset of Point Pattern Satisfying A Condition

Divide Multidimensional Point Pattern into Sub-patterns

Divide Point Pattern into Sub-patterns

Stratified random point pattern

summary.anylist

Summary of a List of Things

Spokes pattern of dummy points

subset.hyperframe

Subset of Hyperframe Satisfying A Condition

Subset of Line Segment Satisfying A Condition

Summary of a List of Spatial Objects

Superimpose Several Geometric Patterns

Summary of a Line Segment Pattern Dataset

Summary of a Spatial Window

Graphics Symbol Map

Summarizing a Quadrature Scheme

Summary of a Point Pattern Dataset

Summarizing a Pixel Image

summary.splitppp

Summary of a Split Point Pattern

Summary of a List of Things

Create a Tessellation

Plot Image or Tessellation Using Texture Fill

Add Text Labels to Spatial Pattern

test.crossing.psp

Check Whether Segments Cross

Names of Tiles in a Tessellation

Check For Empty Tiles in a Tessellation

Extract List of Tiles in a Tessellation

Determine Which Tile Contains Each Given Point

Compute Areas of Tiles in a Tessellation

Extract the Total Computation Time

Extract Unique Points from a Spatial Point Pattern

Union of Data and Dummy Points

tweak.colourmap

Change Colour Values in a Colour Map

Name for Unit of Length

triangulate.owin

Decompose Window into Triangles

Map Duplicate Entries to Unique Entries

Convert Pixel Array Between Different Conventions

Record the Computation Time

Cut margins from rectangle

Test Which Side of Infinite Line a Point Falls On

Tessellation Delimited by Several Sets

Volume of an Object

with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe

Separate Multiple Columns of Marks

Unstack Each Spatial Object in a List of Objects

Find Location of Maximum in a Pixel Image

Vertices of a Window

Text, Arrow or Scale Bar in a Diagram

Rounding of Pixel Values

update.symbolmap

Update a Graphics Symbol Map.