# Geometrical Functionality of the 'spatstat' Family

## Documentation for package ‘spatstat.geom’ version 3.8-1

- DESCRIPTION file.
- User guides, package vignettes and other documentation.
- Package NEWS.

## Help Pages

A B C D E F G H I L M N O P Q R S T U V W Y Z misc

spatstat.geom-package | The spatstat.geom Package

## -- A --

add.texture | Fill Plot With Texture
affine | Apply Affine Transformation
affine.distfun | Geometrical Operations for Distance Functions
affine.im | Apply Affine Transformation To Pixel Image
affine.layered | Methods for Layered Objects
affine.owin | Apply Affine Transformation To Window
affine.ppp | Apply Affine Transformation To Point Pattern
affine.psp | Apply Affine Transformation To Line Segment Pattern
affine.tess | Apply Geometrical Transformation To Tessellation
angles.psp | Orientation Angles of Line Segments
anyDuplicated.ppp | Determine Duplicated Points in a Spatial Point Pattern
anyDuplicated.ppx | Determine Duplicated Points in a Spatial Point Pattern
anylapply | Apply a Function Over a List and Obtain a List of Objects
anylist | List of Objects
anyNA.im | Check Whether Image Contains NA Values
append.psp | Combine Two Line Segment Patterns
applynbd | Apply Function to Every Neighbourhood in a Point Pattern
area | Area of a Window
area.default | Area of a Window
area.owin | Area of a Window
areaGain | Difference of Disc Areas
areaLoss | Difference of Disc Areas
as.anylist | List of Objects
as.array.im | Convert Pixel Image to Matrix or Array
as.box3 | Convert Data to Three-Dimensional Box
as.boxx | Convert Data to Multi-Dimensional Box
as.colourmap | Convert to Colour Map
as.colourmap.colourmap | Convert to Colour Map
as.colourmap.symbolmap | Convert to Colour Map
as.data.frame.hyperframe | Coerce Hyperframe to Data Frame
as.data.frame.im | Convert Pixel Image to Data Frame
as.data.frame.owin | Convert Window to Data Frame
as.data.frame.ppp | Coerce Point Pattern to a Data Frame
as.data.frame.ppx | Extract coordinates and marks of multidimensional point pattern
as.data.frame.psp | Coerce Line Segment Pattern to a Data Frame
as.data.frame.tess | Convert Tessellation to Data Frame
as.function.im | Convert Pixel Image to Function of Coordinates
as.function.owin | Convert Window to Indicator Function
as.function.tess | Convert a Tessellation to a Function
as.hyperframe | Convert Data to Hyperframe
as.hyperframe.anylist | Convert Data to Hyperframe
as.hyperframe.data.frame | Convert Data to Hyperframe
as.hyperframe.default | Convert Data to Hyperframe
as.hyperframe.hyperframe | Convert Data to Hyperframe
as.hyperframe.listof | Convert Data to Hyperframe
as.hyperframe.ppx | Extract coordinates and marks of multidimensional point pattern
as.im | Convert to Pixel Image
as.im.data.frame | Convert to Pixel Image
as.im.default | Convert to Pixel Image
as.im.distfun | Convert to Pixel Image
as.im.expression | Convert to Pixel Image
as.im.function | Convert to Pixel Image
as.im.funxy | Convert to Pixel Image
as.im.im | Convert to Pixel Image
as.im.matrix | Convert to Pixel Image
as.im.nnfun | Convert to Pixel Image
as.im.owin | Convert to Pixel Image
as.im.ppp | Convert Point Pattern to Pixel Image
as.im.tess | Convert to Pixel Image
as.layered | Convert Data To Layered Object
as.layered.default | Convert Data To Layered Object
as.layered.listof | Convert Data To Layered Object
as.layered.ppp | Convert Data To Layered Object
as.layered.solist | Convert Data To Layered Object
as.layered.splitppp | Convert Data To Layered Object
as.mask | Pixel Image Approximation of a Window
as.mask.psp | Convert Line Segment Pattern to Binary Pixel Mask
as.matrix.im | Convert Pixel Image to Matrix or Array
as.matrix.owin | Convert Pixel Image to Matrix
as.matrix.ppx | Extract coordinates and marks of multidimensional point pattern
as.owin | Convert Data To Class owin
as.owin.boxx | Convert Data To Class owin
as.owin.data.frame | Convert Data To Class owin
as.owin.default | Convert Data To Class owin
as.owin.distfun | Convert Data To Class owin
as.owin.funxy | Convert Data To Class owin
as.owin.im | Convert Data To Class owin
as.owin.layered | Convert Data To Class owin
as.owin.nnfun | Convert Data To Class owin
as.owin.owin | Convert Data To Class owin
as.owin.ppp | Convert Data To Class owin
as.owin.psp | Convert Data To Class owin
as.owin.quad | Convert Data To Class owin
as.owin.quadratcount | Convert Data To Class owin
as.owin.tess | Convert Data To Class owin
as.polygonal | Convert a Window to a Polygonal Window
as.ppp | Convert Data To Class ppp
as.ppp.data.frame | Convert Data To Class ppp
as.ppp.default | Convert Data To Class ppp
as.ppp.matrix | Convert Data To Class ppp
as.ppp.ppp | Convert Data To Class ppp
as.ppp.psp | Convert Data To Class ppp
as.ppp.quad | Convert Data To Class ppp
as.psp | Convert Data To Class psp
as.psp.data.frame | Convert Data To Class psp
as.psp.default | Convert Data To Class psp
as.psp.matrix | Convert Data To Class psp
as.psp.psp | Convert Data To Class psp
as.rectangle | Window Frame
as.solist | Convert List of Two-Dimensional Spatial Objects
as.tess | Convert Data To Tessellation
as.tess.im | Convert Data To Tessellation
as.tess.list | Convert Data To Tessellation
as.tess.owin | Convert Data To Tessellation
as.tess.quadratcount | Convert Data To Tessellation
as.tess.tess | Convert Data To Tessellation

## -- B --

bdist.pixels | Distance to Boundary of Window
bdist.points | Distance to Boundary of Window
bdist.tiles | Distance to Boundary of Window
beachcolourmap | Create Colour Scheme for a Range of Numbers
beachcolours | Create Colour Scheme for a Range of Numbers
border | Border Region of a Window
bounding.box.xy | Convex Hull of Points
boundingbox | Bounding Box of a Window, Image, or Point Pattern
boundingbox.default | Bounding Box of a Window, Image, or Point Pattern
boundingbox.im | Bounding Box of a Window, Image, or Point Pattern
boundingbox.linnet | Bounding Box of a Window, Image, or Point Pattern
boundingbox.lpp | Bounding Box of a Window, Image, or Point Pattern
boundingbox.owin | Bounding Box of a Window, Image, or Point Pattern
boundingbox.ppp | Bounding Box of a Window, Image, or Point Pattern
boundingbox.psp | Bounding Box of a Window, Image, or Point Pattern
boundingbox.solist | Bounding Box of a Window, Image, or Point Pattern
boundingcentre | Smallest Enclosing Circle
boundingcentre.owin | Smallest Enclosing Circle
boundingcentre.ppp | Smallest Enclosing Circle
boundingcircle | Smallest Enclosing Circle
boundingcircle.owin | Smallest Enclosing Circle
boundingcircle.ppp | Smallest Enclosing Circle
boundingradius | Smallest Enclosing Circle
boundingradius.owin | Smallest Enclosing Circle
boundingradius.ppp | Smallest Enclosing Circle
box3 | Three-Dimensional Box
boxx | Multi-Dimensional Box
bufftess | Buffer Distance Tessellation
by.im | Apply Function to Image Broken Down by Factor
by.ppp | Apply a Function to a Point Pattern Broken Down by Factor

## -- C --

c.layered | Methods for Layered Objects
cbind.hyperframe | Combine Hyperframes by Rows or by Columns
centroid.owin | Centroid of a window
chop.tess | Subdivide a Window or Tessellation using a Set of Lines
clear.simplepanel | Run Point-and-Click Interface
clickbox | Interactively Define a Rectangle
clickdist | Interactively Measure Distance
clickpoly | Interactively Define a Polygon
clickppp | Interactively Add Points
clip.infline | Intersect Infinite Straight Lines with a Window
closepairs | Close Pairs of Points
closepairs.pp3 | Close Pairs of Points in 3 Dimensions
closepairs.ppp | Close Pairs of Points
closetriples | Close Triples of Points
closing | Morphological Closing
closing.owin | Morphological Closing
closing.ppp | Morphological Closing
closing.psp | Morphological Closing
col2hex | Convert and Compare Colours in Different Formats
colourmap | Colour Lookup Tables
colouroutputs | Extract or Assign Colour Values in a Colour Map
colouroutputs<- | Extract or Assign Colour Values in a Colour Map
colourtools | Convert and Compare Colours in Different Formats
commonGrid | Determine A Common Spatial Domain And Pixel Resolution
compatible | Test Whether Objects Are Compatible
compatible.im | Test Whether Pixel Images Are Compatible
compatible.unitname | Methods for Units
complement.owin | Take Complement of a Window
complementarycolour | Convert and Compare Colours in Different Formats
Complex.im | S3 Group Generic methods for images
Complex.imlist | S3 Group Generic methods for List of Images
concatxy | Concatenate x,y Coordinate Vectors
connected | Connected components
connected.im | Connected components
connected.owin | Connected components
connected.pp3 | Connected Components of a Point Pattern
connected.ppp | Connected Components of a Point Pattern
connected.tess | Connected Components of Tiles of a Tessellation
contour.funxy | Methods for Spatial Functions
contour.im | Contour plot of pixel image
contour.imlist | Array of Contour Plots
contour.listof | Array of Contour Plots
convexhull | Convex Hull
convexhull.xy | Convex Hull of Points
convexify | Weil's Convexifying Operation
convexmetric | Distance Metric Defined by Convex Set
convolve.im | Convolution of Pixel Images
coords | Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
coords.ppp | Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
coords.ppx | Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
coords.quad | Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
coords<- | Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
coords<-.ppp | Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
coords<-.ppx | Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
corners | Corners of a rectangle
covering | Cover Region with Discs
crossdist | Pairwise distances
crossdist.default | Pairwise distances between two different sets of points
crossdist.pp3 | Pairwise distances between two different three-dimensional point patterns
crossdist.ppp | Pairwise distances between two different point patterns
crossdist.ppx | Pairwise Distances Between Two Different Multi-Dimensional Point Patterns
crossdist.psp | Pairwise distances between two different line segment patterns
crossing.psp | Crossing Points of Two Line Segment Patterns
crosspairs | Close Pairs of Points
crosspairs.pp3 | Close Pairs of Points in 3 Dimensions
crosspairs.ppp | Close Pairs of Points
cut.im | Convert Pixel Image from Numeric to Factor
cut.ppp | Classify Points in a Point Pattern

## -- D --

default.colourmap | Default Colour Map for Plotting a Spatial Pattern
default.dummy | Generate a Default Pattern of Dummy Points
default.image.colours | Default Colours for Images in Spatstat
default.symbolmap | Default Symbol Map for Plotting a Spatial Pattern
default.symbolmap.ppp | Default Symbol Map for Point Pattern
delaunay | Delaunay Triangulation of Point Pattern
delaunayDistance | Distance on Delaunay Triangulation
deltametric | Delta Metric
diameter | Diameter of an Object
diameter.box3 | Geometrical Calculations for Three-Dimensional Box
diameter.boxx | Geometrical Calculations for Multi-Dimensional Box
diameter.owin | Diameter of a Window
dilated.areas | Areas of Morphological Dilations
dilation | Morphological Dilation
dilation.owin | Morphological Dilation
dilation.ppp | Morphological Dilation
dilation.psp | Morphological Dilation
dilationAny | Minkowski Sum of Windows
dirichlet | Dirichlet Tessellation of Point Pattern
dirichletAreas | Compute Areas of Tiles in Dirichlet Tessellation
dirichletEdges | Vertices and Edges of Dirichlet Tessellation
dirichletVertices | Vertices and Edges of Dirichlet Tessellation
dirichletWeights | Compute Quadrature Weights Based on Dirichlet Tessellation
disc | Circular Window
discpartarea | Area of Part of Disc
discretise | Safely Convert Point Pattern Window to Binary Mask
discs | Union of Discs
distfun | Distance Map as a Function
distfun.owin | Distance Map as a Function
distfun.ppp | Distance Map as a Function
distfun.psp | Distance Map as a Function
distmap | Distance Map
distmap.owin | Distance Map of Window
distmap.ppp | Distance Map of Point Pattern
distmap.psp | Distance Map of Line Segment Pattern
domain | Extract the Domain of any Spatial Object
domain.distfun | Extract the Domain of any Spatial Object
domain.funxy | Extract the Domain of any Spatial Object
domain.im | Extract the Domain of any Spatial Object
domain.layered | Extract the Domain of any Spatial Object
domain.nnfun | Extract the Domain of any Spatial Object
domain.pp3 | Extract the Domain of any Spatial Object
domain.ppp | Extract the Domain of any Spatial Object
domain.ppx | Extract the Domain of any Spatial Object
domain.psp | Extract the Domain of any Spatial Object
domain.quad | Extract the Domain of any Spatial Object
domain.quadratcount | Extract the Domain of any Spatial Object
domain.tess | Extract the Domain of any Spatial Object
duplicated.ppp | Determine Duplicated Points in a Spatial Point Pattern
duplicated.ppx | Determine Duplicated Points in a Spatial Point Pattern

## -- E --

edges | Extract Boundary Edges of a Window.
edges2triangles | List Triangles in a Graph
edges2vees | List Dihedral Triples in a Graph
edit.hyperframe | Invoke Text Editor on Hyperframe
edit.im | Invoke Text Editor on Spatial Data
edit.ppp | Invoke Text Editor on Spatial Data
edit.psp | Invoke Text Editor on Spatial Data
ellipse | Elliptical Window.
endpoints.psp | Endpoints of Line Segment Pattern
eroded.areas | Areas of Morphological Erosions
eroded.volumes | Geometrical Calculations for Three-Dimensional Box
eroded.volumes.box3 | Geometrical Calculations for Three-Dimensional Box
eroded.volumes.boxx | Geometrical Calculations for Multi-Dimensional Box
erosion | Morphological Erosion by a Disc
erosion.owin | Morphological Erosion by a Disc
erosion.ppp | Morphological Erosion by a Disc
erosion.psp | Morphological Erosion by a Disc
erosionAny | Morphological Erosion of Windows
eval.im | Evaluate Expression Involving Pixel Images
extrapolate.psp | Extrapolate Line Segments to Obtain Infinite Lines

## -- F --

fardist | Farthest Distance to Boundary of Window
fardist.owin | Farthest Distance to Boundary of Window
fardist.ppp | Farthest Distance to Boundary of Window
FeretBox | Feret Box Enclosing a Domain
FeretDiamFun | Feret Diameter as a Function of Direction
fillholes.owin | Remove Small Holes in a Window
flipxy | Exchange X and Y Coordinates
flipxy.distfun | Geometrical Operations for Distance Functions
flipxy.im | Exchange X and Y Coordinates
flipxy.infline | Rotate or Shift Infinite Lines
flipxy.layered | Methods for Layered Objects
flipxy.owin | Exchange X and Y Coordinates
flipxy.ppp | Exchange X and Y Coordinates
flipxy.psp | Exchange X and Y Coordinates
flipxy.tess | Apply Geometrical Transformation To Tessellation
fourierbasis | Fourier Basis Functions
fourierbasisraw | Fourier Basis Functions
Frame | Extract or Change the Containing Rectangle of a Spatial Object
Frame.default | Extract or Change the Containing Rectangle of a Spatial Object
Frame<- | Extract or Change the Containing Rectangle of a Spatial Object
Frame<-.default | Extract or Change the Containing Rectangle of a Spatial Object
Frame<-.im | Extract or Change the Containing Rectangle of a Spatial Object
Frame<-.owin | Extract or Change the Containing Rectangle of a Spatial Object
Frame<-.ppp | Extract or Change the Containing Rectangle of a Spatial Object
framedist.pixels | Distance to Bounding Frame
funxy | Spatial Function Class

## -- G --

gridcenters | Rectangular grid of points
gridcentres | Rectangular grid of points
gridweights | Compute Quadrature Weights Based on Grid Counts
grow.box3 | Add margins to box in any dimension
grow.boxx | Add margins to box in any dimension
grow.rectangle | Add margins to rectangle
grow.simplepanel | Simple Point-and-Click Interface Panels

## -- H --

Halton | Quasirandom Patterns
Hammersley | Quasirandom Patterns
harmonise | Make Objects Compatible
harmonise.im | Make Pixel Images Compatible
harmonise.owin | Make Windows Compatible
harmonise.unitname | Methods for Units
harmoniseLevels | Harmonise the levels of several factors, or factor-valued pixel images.
harmonize | Make Objects Compatible
harmonize.im | Make Pixel Images Compatible
harmonize.owin | Make Windows Compatible
harmonize.unitname | Methods for Units
has.close | Check Whether Points Have Close Neighbours
has.close.default | Check Whether Points Have Close Neighbours
has.close.pp3 | Check Whether Points Have Close Neighbours
has.close.ppp | Check Whether Points Have Close Neighbours
head.ppp | First or Last Part of a Spatial Pattern
head.ppx | First or Last Part of a Spatial Pattern
head.psp | First or Last Part of a Spatial Pattern
head.tess | First or Last Part of a Spatial Pattern
hexagon | Create A Regular Polygon
hexgrid | Hexagonal Grid or Tessellation
hextess | Hexagonal Grid or Tessellation
hist.funxy | Histogram of Values of a Spatial Function
hist.im | Histogram of Pixel Values in an Image
hsvim | Create Colour-Valued Pixel Image
hyperframe | Hyper Data Frame

## -- I --

identify.ppp | Identify Points in a Point Pattern
identify.psp | Identify Segments in a Line Segment Pattern
identify.tess | Interactively Identify Tiles of a Tessellation
im | Create a Pixel Image Object
im.apply | Apply Function Pixelwise to List of Images
im.object | Class of Images
image.im | Plot a Pixel Image
image.imlist | Plot a List of Images
image.listof | Plot a List of Images
imcov | Spatial Covariance of a Pixel Image
incircle | Find Largest Circle Inside Window
infline | Infinite Straight Lines
inradius | Find Largest Circle Inside Window
inside.boxx | Test Whether Points Are Inside A Multidimensional Box
inside.owin | Test Whether Points Are Inside A Window
integral.im | Integral of a Pixel Image
integral.tessfun | Integrate a Function Which is Constant on Each Tile of a Tessellation
intensity | Intensity of a Dataset or a Model
intensity.ppp | Empirical Intensity of Point Pattern
intensity.ppx | Intensity of a Multidimensional Space-Time Point Pattern
intensity.psp | Empirical Intensity of Line Segment Pattern
intensity.quadratcount | Intensity Estimates Using Quadrat Counts
intensity.splitppp | Empirical Intensity of Point Pattern
interp.colourmap | Interpolate smoothly between specified colours
interp.colours | Convert and Compare Colours in Different Formats
interp.im | Interpolate a Pixel Image
intersect.boxx | Intersection Of Boxes Of Arbitrary Dimension
intersect.owin | Intersection, Union or Set Subtraction of Windows
intersect.tess | Intersection of Two Tessellations
invoke.metric | Perform Geometric Task using a Specified Metric
invoke.symbolmap | Plot Data Using Graphics Symbol Map
is.boxx | Recognise a Multi-Dimensional Box
is.colour | Convert and Compare Colours in Different Formats
is.connected | Determine Whether an Object is Connected
is.connected.default | Determine Whether an Object is Connected
is.connected.ppp | Determine Whether a Point Pattern is Connected
is.convex | Test Whether a Window is Convex
is.empty | Test Whether An Object Is Empty
is.empty.default | Test Whether An Object Is Empty
is.empty.owin | Test Whether An Object Is Empty
is.empty.ppp | Test Whether An Object Is Empty
is.empty.psp | Test Whether An Object Is Empty
is.grey | Convert and Compare Colours in Different Formats
is.im | Test Whether An Object Is A Pixel Image
is.linim | Test Whether an Object is a Pixel Image on a Linear Network
is.linnet | Test Whether An Object Is A Linear Network
is.lpp | Test Whether An Object Is A Point Pattern on a Linear Network
is.marked | Test Whether Marks Are Present
is.marked.ppp | Test Whether A Point Pattern is Marked
is.mask | Determine Type of Window
is.multitype | Test whether Object is Multitype
is.multitype.ppp | Test Whether A Point Pattern is Multitype
is.na.hyperframe | Identify Missing Entries in a Hyperframe
is.na.solist | Identify Missing Entries in a List of Spatial Objects
is.NAobject | Recognise NA Objects
is.owin | Test Whether An Object Is A Window
is.polygonal | Determine Type of Window
is.ppp | Test Whether An Object Is A Point Pattern
is.rectangle | Determine Type of Window
is.subset.owin | Determine Whether One Window is Contained In Another

## -- L --

layered | Create List of Plotting Layers
layerplotargs | Extract or Replace the Plot Arguments of a Layered Object
layerplotargs<- | Extract or Replace the Plot Arguments of a Layered Object
layout.boxes | Generate a Row or Column Arrangement of Rectangles.
lengths_psp | Lengths of Line Segments
levelset | Level Set of a Pixel Image
levelset.distfun | Level Set of a Distance Function
levelset.im | Level Set of a Pixel Image
lut | Lookup Tables

## -- M --

marks | Marks of a Point Pattern
marks.ppp | Marks of a Point Pattern
marks.ppx | Marks of a Point Pattern
marks.psp | Marks of a Line Segment Pattern
marks.tess | Marks of a Tessellation
marks<- | Marks of a Point Pattern
marks<-.ppp | Marks of a Point Pattern
marks<-.ppx | Marks of a Point Pattern
marks<-.psp | Marks of a Line Segment Pattern
marks<-.tess | Marks of a Tessellation
markstat | Summarise Marks in Every Neighbourhood in a Point Pattern
matchingdist | Distance for a Point Pattern Matching
Math.im | S3 Group Generic methods for images
Math.imlist | S3 Group Generic methods for List of Images
maxFeretDiam | Feret Diameter as a Function of Direction
maxnndist | Compute Minimum or Maximum Nearest-Neighbour Distance
mean.im | Mean and Median of Pixel Values in an Image
median.im | Mean and Median of Pixel Values in an Image
mergeLevels | Merge Levels of a Factor
mergeTiles | Merge Groups of Tiles in a Tessellation
mergeTiles.tess | Merge Groups of Tiles in a Tessellation
methods.box3 | Methods for Three-Dimensional Box
methods.boxx | Methods for Multi-Dimensional Box
methods.distfun | Geometrical Operations for Distance Functions
methods.funxy | Methods for Spatial Functions
methods.layered | Methods for Layered Objects
methods.pp3 | Methods for three-dimensional point patterns
methods.ppx | Methods for Multidimensional Space-Time Point Patterns
methods.unitname | Methods for Units
metric.object | Distance Metric
midpoints.psp | Midpoints of Line Segment Pattern
minFeretDiam | Feret Diameter as a Function of Direction
MinkowskiSum | Minkowski Sum of Windows
minnndist | Compute Minimum or Maximum Nearest-Neighbour Distance
multiplicity | Count Multiplicity of Duplicate Points
multiplicity.data.frame | Count Multiplicity of Duplicate Points
multiplicity.default | Count Multiplicity of Duplicate Points
multiplicity.ppp | Count Multiplicity of Duplicate Points
multiplicity.ppx | Count Multiplicity of Duplicate Points

## -- N --

NAobject | Make an NA Object
nearest.raster.point | Find Pixel Nearest to a Given Point
nearestsegment | Find Line Segment Nearest to Each Point
nearestValue | Image of Nearest Defined Pixel Value
nestsplit | Nested Split
nncross | Nearest Neighbours Between Two Patterns
nncross.default | Nearest Neighbours Between Two Patterns
nncross.pp3 | Nearest Neighbours Between Two Patterns in 3D
nncross.ppp | Nearest Neighbours Between Two Patterns
nncross.ppx | Nearest Neighbours Between Two Patterns in Any Dimensions
nndist | Nearest neighbour distances
nndist.default | Nearest neighbour distances
nndist.pp3 | Nearest neighbour distances in three dimensions
nndist.ppp | Nearest neighbour distances
nndist.ppx | Nearest Neighbour Distances in Any Dimensions
nndist.psp | Nearest neighbour distances between line segments
nnfun | Nearest Neighbour Index Map as a Function
nnfun.ppp | Nearest Neighbour Index Map as a Function
nnfun.psp | Nearest Neighbour Index Map as a Function
nnmap | K-th Nearest Point Map
nnmark | Mark of Nearest Neighbour
nnwhich | Nearest neighbour
nnwhich.default | Nearest neighbour
nnwhich.pp3 | Nearest neighbours in three dimensions
nnwhich.ppp | Nearest neighbour
nnwhich.ppx | Nearest Neighbours in Any Dimensions
nobjects | Count Number of Geometrical Objects in a Spatial Dataset
nobjects.ppp | Count Number of Geometrical Objects in a Spatial Dataset
nobjects.ppx | Count Number of Geometrical Objects in a Spatial Dataset
nobjects.psp | Count Number of Geometrical Objects in a Spatial Dataset
nobjects.tess | Count Number of Geometrical Objects in a Spatial Dataset
npoints | Number of Points in a Point Pattern
npoints.pp3 | Number of Points in a Point Pattern
npoints.ppp | Number of Points in a Point Pattern
npoints.ppx | Number of Points in a Point Pattern
nsegments | Number of Line Segments in a Line Segment Pattern
nsegments.psp | Number of Line Segments in a Line Segment Pattern
nvertices | Count Number of Vertices
nvertices.default | Count Number of Vertices
nvertices.owin | Count Number of Vertices

## -- O --

onearrow | Text, Arrow or Scale Bar in a Diagram
opening | Morphological Opening
opening.owin | Morphological Opening
opening.ppp | Morphological Opening
opening.psp | Morphological Opening
Ops.im | S3 Group Generic methods for images
Ops.imlist | S3 Group Generic methods for List of Images
overlap.owin | Compute Area of Overlap
owin | Create a Window
owin.object | Class owin
owin2mask | Convert Window to Binary Mask under Constraints

## -- P --

padimage | Pad the Border of a Pixel Image
pairdist | Pairwise distances
pairdist.default | Pairwise distances
pairdist.pp3 | Pairwise distances in Three Dimensions
pairdist.ppp | Pairwise distances
pairdist.ppx | Pairwise Distances in Any Dimensions
pairdist.psp | Pairwise distances between line segments
paletteindex | Convert and Compare Colours in Different Formats
perimeter | Perimeter Length of Window
periodify | Make Periodic Copies of a Spatial Pattern
periodify.owin | Make Periodic Copies of a Spatial Pattern
periodify.ppp | Make Periodic Copies of a Spatial Pattern
periodify.psp | Make Periodic Copies of a Spatial Pattern
persp.funxy | Methods for Spatial Functions
persp.im | Perspective Plot of Pixel Image
persp.ppp | Perspective Plot of Marked Point Pattern
perspContour | Draw Points or Lines on a Surface Viewed in Perspective
perspLines | Draw Points or Lines on a Surface Viewed in Perspective
perspPoints | Draw Points or Lines on a Surface Viewed in Perspective
perspSegments | Draw Points or Lines on a Surface Viewed in Perspective
pHcolour | Colour Map for pH Values
pHcolourmap | Colour Map for pH Values
pixelcentres | Extract Pixel Centres as Point Pattern
pixellate | Convert Spatial Object to Pixel Image
pixellate.owin | Convert Window to Pixel Image
pixellate.ppp | Convert Point Pattern to Pixel Image
pixellate.psp | Convert Line Segment Pattern to Pixel Image
pixelquad | Quadrature Scheme Based on Pixel Grid
plot.anylist | Plot a List of Things
plot.colourmap | Plot a Colour Map
plot.funxy | Methods for Spatial Functions
plot.hyperframe | Plot Entries in a Hyperframe
plot.im | Plot a Pixel Image
plot.imlist | Plot a List of Images
plot.infline | Infinite Straight Lines
plot.layered | Layered Plot
plot.listof | Plot a List of Things
plot.onearrow | Plot an Arrow
plot.owin | Plot a Spatial Window
plot.pp3 | Plot a Three-Dimensional Point Pattern
plot.ppp | plot a Spatial Point Pattern
plot.pppmatching | Plot a Point Matching
plot.ppx | Methods for Multidimensional Space-Time Point Patterns
plot.psp | plot a Spatial Line Segment Pattern
plot.quad | Plot a Spatial Quadrature Scheme
plot.quadratcount | Plot Quadrat Counts
plot.solist | Plot a List of Spatial Objects
plot.splitppp | Plot a List of Point Patterns
plot.symbolmap | Plot a Graphics Symbol Map
plot.tess | Plot a Tessellation
plot.textstring | Plot a Text String
plot.texturemap | Plot a Texture Map
plot.yardstick | Plot a Yardstick or Scale Bar
pointsOnLines | Place Points Evenly Along Specified Lines
polarbody | Polar Body and Voronoi Flower
polartess | Tessellation Using Polar Coordinates
pp3 | Three Dimensional Point Pattern
ppp | Create a Point Pattern
ppp.object | Class of Point Patterns
pppdist | Distance Between Two Point Patterns
pppmatching | Create a Point Matching
pppmatching.object | Class of Point Matchings
ppx | Multidimensional Space-Time Point Pattern
print.box3 | Methods for Three-Dimensional Box
print.boxx | Methods for Multi-Dimensional Box
print.im | Print Brief Details of an Image
print.infline | Infinite Straight Lines
print.owin | Print Brief Details of a Spatial Window
print.pp3 | Methods for three-dimensional point patterns
print.ppp | Print Brief Details of a Point Pattern Dataset
print.ppx | Methods for Multidimensional Space-Time Point Patterns
print.psp | Print Brief Details of a Line Segment Pattern Dataset
print.quad | Print a Quadrature Scheme
print.summary.im | Summarizing a Pixel Image
print.summary.pp3 | Methods for three-dimensional point patterns
print.summary.quad | Summarizing a Quadrature Scheme
print.unitname | Methods for Units
progressreport | Print Progress Reports
project2segment | Move Point To Nearest Line
project2set | Find Nearest Point in a Region
psp | Create a Line Segment Pattern
psp.object | Class of Line Segment Patterns
psp2mask | Convert Line Segment Pattern to Binary Pixel Mask

## -- Q --

quad.object | Class of Quadrature Schemes
quadratcount | Quadrat counting for a point pattern
quadratcount.ppp | Quadrat counting for a point pattern
quadratcount.splitppp | Quadrat counting for a point pattern
quadrats | Divide Region into Quadrats
quadscheme | Generate a Quadrature Scheme from a Point Pattern
quadscheme.logi | Generate a Logistic Regression Quadrature Scheme from a Point Pattern
quantess | Quantile Tessellation
quantess.im | Quantile Tessellation
quantess.owin | Quantile Tessellation
quantess.ppp | Quantile Tessellation
quantile.im | Sample Quantiles of Pixel Image
quantilefun.im | Quantile Function for Images
quasirandom | Quasirandom Patterns

## -- R --

raster.x | Cartesian Coordinates for a Pixel Raster
raster.xy | Cartesian Coordinates for a Pixel Raster
raster.y | Cartesian Coordinates for a Pixel Raster
rbind.hyperframe | Combine Hyperframes by Rows or by Columns
rectdistmap | Distance Map Using Rectangular Distance Metric
redraw.simplepanel | Run Point-and-Click Interface
reflect | Reflect In Origin
reflect.default | Reflect In Origin
reflect.distfun | Geometrical Operations for Distance Functions
reflect.im | Reflect In Origin
reflect.infline | Rotate or Shift Infinite Lines
reflect.layered | Methods for Layered Objects
reflect.tess | Apply Geometrical Transformation To Tessellation
regularpolygon | Create A Regular Polygon
relevel.im | Reorder Levels of a Factor-Valued Image or Pattern
relevel.ppp | Reorder Levels of a Factor-Valued Image or Pattern
relevel.ppx | Reorder Levels of a Factor-Valued Image or Pattern
requireversion | Require a Specific Version of a Package
rescale | Convert dataset to another unit of length
rescale.distfun | Geometrical Operations for Distance Functions
rescale.im | Convert Pixel Image to Another Unit of Length
rescale.layered | Methods for Layered Objects
rescale.owin | Convert Window to Another Unit of Length
rescale.ppp | Convert Point Pattern to Another Unit of Length
rescale.psp | Convert Line Segment Pattern to Another Unit of Length
rescale.unitname | Methods for Units
rescue.rectangle | Convert Window Back To Rectangle
reset.default.image.colours | Default Colours for Images in Spatstat
reset.spatstat.options | Internal Options in Spatstat Package
restrict.colourmap | Restrict a Colour Map to a Subset of Values
rev.colourmap | Reverse the Colours in a Colour Map
rexplode | Explode a Point Pattern by Displacing Duplicated Points
rexplode.ppp | Explode a Point Pattern by Displacing Duplicated Points
rgb2hex | Convert and Compare Colours in Different Formats
rgb2hsva | Convert and Compare Colours in Different Formats
rgbim | Create Colour-Valued Pixel Image
ripras | Estimate window from points alone
rjitter | Random Perturbation of a Point Pattern
rjitter.ppp | Random Perturbation of a Point Pattern
rlinegrid | Generate grid of parallel lines with random displacement
rotate | Rotate
rotate.distfun | Geometrical Operations for Distance Functions
rotate.im | Rotate a Pixel Image
rotate.infline | Rotate or Shift Infinite Lines
rotate.layered | Methods for Layered Objects
rotate.owin | Rotate a Window
rotate.ppp | Rotate a Point Pattern
rotate.psp | Rotate a Line Segment Pattern
rotate.tess | Apply Geometrical Transformation To Tessellation
round.pp3 | Apply Numerical Rounding to Spatial Coordinates
round.ppp | Apply Numerical Rounding to Spatial Coordinates
round.ppx | Apply Numerical Rounding to Spatial Coordinates
rounding.pp3 | Detect Numerical Rounding
rounding.ppp | Detect Numerical Rounding
rounding.ppx | Detect Numerical Rounding
rQuasi | Generate Quasirandom Point Pattern in Given Window
rsyst | Simulate systematic random point pattern
run.simplepanel | Run Point-and-Click Interface
runifrect | Generate N Uniform Random Points in a Rectangle

## -- S --

samecolour | Convert and Compare Colours in Different Formats
scalardilate | Apply Scalar Dilation
scalardilate.default | Apply Scalar Dilation
scalardilate.distfun | Geometrical Operations for Distance Functions
scalardilate.im | Apply Scalar Dilation
scalardilate.layered | Methods for Layered Objects
scalardilate.owin | Apply Scalar Dilation
scalardilate.ppp | Apply Scalar Dilation
scalardilate.psp | Apply Scalar Dilation
scalardilate.tess | Apply Geometrical Transformation To Tessellation
scale.boxx | Methods for Multi-Dimensional Box
scale.ppx | Methods for Multidimensional Space-Time Point Patterns
scaletointerval | Rescale Data to Lie Between Specified Limits
scaletointerval.default | Rescale Data to Lie Between Specified Limits
scaletointerval.im | Rescale Data to Lie Between Specified Limits
scanpp | Read Point Pattern From Data File
selfcrossing.psp | Crossing Points in a Line Segment Pattern
selfcut.psp | Cut Line Segments Where They Intersect
sessionLibs | Print Names and Version Numbers of Libraries Loaded
setcov | Set Covariance of a Window
setmarks | Marks of a Point Pattern
setminus.owin | Intersection, Union or Set Subtraction of Windows
shift | Apply Vector Translation
shift.boxx | Apply Vector Translation To Box Or Point Pattern In Arbitrary Dimension
shift.distfun | Geometrical Operations for Distance Functions
shift.im | Apply Vector Translation To Pixel Image
shift.infline | Rotate or Shift Infinite Lines
shift.layered | Methods for Layered Objects
shift.owin | Apply Vector Translation To Window
shift.ppp | Apply Vector Translation To Point Pattern
shift.ppx | Apply Vector Translation To Box Or Point Pattern In Arbitrary Dimension
shift.psp | Apply Vector Translation To Line Segment Pattern
shift.tess | Apply Geometrical Transformation To Tessellation
shortside | Geometrical Calculations for Three-Dimensional Box
shortside.box3 | Geometrical Calculations for Three-Dimensional Box
shortside.boxx | Geometrical Calculations for Multi-Dimensional Box
shortside.owin | Side Lengths of Enclosing Rectangle of a Window
sidelengths | Geometrical Calculations for Three-Dimensional Box
sidelengths.box3 | Geometrical Calculations for Three-Dimensional Box
sidelengths.boxx | Geometrical Calculations for Multi-Dimensional Box
sidelengths.owin | Side Lengths of Enclosing Rectangle of a Window
simplepanel | Simple Point-and-Click Interface Panels
simplify.owin | Approximate a Window by a Simpler Polygon
solapply | Apply a Function Over a List and Obtain a List of Objects
solist | List of Two-Dimensional Spatial Objects
solutionset | Evaluate Logical Expression Involving Pixel Images and Return Region Where Expression is True
spatdim | Spatial Dimension of a Dataset
spatstat.geom | The spatstat.geom Package
spatstat.options | Internal Options in Spatstat Package
split.hyperframe | Divide Hyperframe Into Subsets and Reassemble
split.im | Divide Image Into Sub-images
split.ppp | Divide Point Pattern into Sub-patterns
split.ppx | Divide Multidimensional Point Pattern into Sub-patterns
split<-.hyperframe | Divide Hyperframe Into Subsets and Reassemble
split<-.ppp | Divide Point Pattern into Sub-patterns
spokes | Spokes pattern of dummy points
square | Square Window
stratrand | Stratified random point pattern
subset.hyperframe | Subset of Hyperframe Satisfying A Condition
subset.pp3 | Subset of Point Pattern Satisfying A Condition
subset.ppp | Subset of Point Pattern Satisfying A Condition
subset.ppx | Subset of Point Pattern Satisfying A Condition
subset.psp | Subset of Line Segment Satisfying A Condition
summary.anylist | Summary of a List of Things
summary.distfun | Summarizing a Function of Spatial Location
summary.funxy | Summarizing a Function of Spatial Location
Summary.im | S3 Group Generic methods for images
summary.im | Summarizing a Pixel Image
Summary.imlist | S3 Group Generic methods for List of Images
summary.listof | Summary of a List of Things
summary.owin | Summary of a Spatial Window
summary.pp3 | Methods for three-dimensional point patterns
summary.ppp | Summary of a Point Pattern Dataset
summary.psp | Summary of a Line Segment Pattern Dataset
summary.quad | Summarizing a Quadrature Scheme
summary.solist | Summary of a List of Spatial Objects
summary.splitppp | Summary of a Split Point Pattern
summary.unitname | Methods for Units
superimpose | Superimpose Several Geometric Patterns
superimpose.default | Superimpose Several Geometric Patterns
superimpose.ppp | Superimpose Several Geometric Patterns
superimpose.ppplist | Superimpose Several Geometric Patterns
superimpose.psp | Superimpose Several Geometric Patterns
superimpose.splitppp | Superimpose Several Geometric Patterns
SupportFun | Support Function
symbolmap | Graphics Symbol Map

## -- T --

tail.ppp | First or Last Part of a Spatial Pattern
tail.ppx | First or Last Part of a Spatial Pattern
tail.psp | First or Last Part of a Spatial Pattern
tail.tess | First or Last Part of a Spatial Pattern
tess | Create a Tessellation
test.crossing.psp | Check Whether Segments Cross
test.selfcrossing.psp | Check Whether Segments Cross
text.ppp | Add Text Labels to Spatial Pattern
text.psp | Add Text Labels to Spatial Pattern
textstring | Text, Arrow or Scale Bar in a Diagram
texturemap | Texture Map
textureplot | Plot Image or Tessellation Using Texture Fill
tile.areas | Compute Areas of Tiles in a Tessellation
tile.centroids | Compute Centroids of Tiles in a Tessellation
tileindex | Determine Which Tile Contains Each Given Point
tilenames | Names of Tiles in a Tessellation
tilenames.tess | Names of Tiles in a Tessellation
tilenames<- | Names of Tiles in a Tessellation
tilenames<-.tess | Names of Tiles in a Tessellation
tiles | Extract List of Tiles in a Tessellation
tiles.empty | Check For Empty Tiles in a Tessellation
timed | Record the Computation Time
timeTaken | Extract the Total Computation Time
to.grey | Convert and Compare Colours in Different Formats
to.opaque | Convert and Compare Colours in Different Formats
to.saturated | Convert and Compare Colours in Different Formats
to.transparent | Convert and Compare Colours in Different Formats
transmat | Convert Pixel Array Between Different Conventions
triangulate.owin | Decompose Window into Triangles
trim.rectangle | Cut margins from rectangle
tweak.colourmap | Change Colour Values in a Colour Map

## -- U --

union.owin | Intersection, Union or Set Subtraction of Windows
union.quad | Union of Data and Dummy Points
unique.ppp | Extract Unique Points from a Spatial Point Pattern
unique.ppx | Extract Unique Points from a Spatial Point Pattern
uniquemap.lpp | Map Duplicate Entries to Unique Entries
uniquemap.ppp | Map Duplicate Entries to Unique Entries
uniquemap.ppx | Map Duplicate Entries to Unique Entries
unit.square | Square Window
unitname | Name for Unit of Length
unitname.box3 | Methods for Three-Dimensional Box
unitname.boxx | Methods for Multi-Dimensional Box
unitname.im | Name for Unit of Length
unitname.owin | Name for Unit of Length
unitname.pp3 | Methods for three-dimensional point patterns
unitname.ppp | Name for Unit of Length
unitname.ppx | Methods for Multidimensional Space-Time Point Patterns
unitname.psp | Name for Unit of Length
unitname.quad | Name for Unit of Length
unitname.tess | Name for Unit of Length
unitname<- | Name for Unit of Length
unitname<-.box3 | Methods for Three-Dimensional Box
unitname<-.boxx | Methods for Multi-Dimensional Box
unitname<-.im | Name for Unit of Length
unitname<-.owin | Name for Unit of Length
unitname<-.pp3 | Methods for three-dimensional point patterns
unitname<-.ppp | Name for Unit of Length
unitname<-.ppx | Methods for Multidimensional Space-Time Point Patterns
unitname<-.psp | Name for Unit of Length
unitname<-.quad | Name for Unit of Length
unitname<-.tess | Name for Unit of Length
unmark | Remove Marks
unmark.ppp | Remove Marks
unmark.ppx | Remove Marks
unmark.psp | Remove Marks
unmark.splitppp | Remove Marks
unmark.tess | Marks of a Tessellation
unstack.layered | Unstack Each Spatial Object in a List of Objects
unstack.ppp | Separate Multiple Columns of Marks
unstack.psp | Separate Multiple Columns of Marks
unstack.solist | Unstack Each Spatial Object in a List of Objects
unstack.tess | Separate Multiple Columns of Marks
update.symbolmap | Update a Graphics Symbol Map.

## -- V --

vdCorput | Quasirandom Patterns
venn.tess | Tessellation Delimited by Several Sets
vertices | Vertices of a Window
vertices.owin | Vertices of a Window
volume | Volume of an Object
volume.box3 | Geometrical Calculations for Three-Dimensional Box
volume.boxx | Geometrical Calculations for Multi-Dimensional Box
volume.owin | Area of a Window
voronoiFlower | Polar Body and Voronoi Flower

## -- W --

where.max | Find Location of Maximum in a Pixel Image
where.min | Find Location of Maximum in a Pixel Image
whichhalfplane | Test Which Side of Infinite Line a Point Falls On
Window | Extract or Change the Window of a Spatial Object
Window.distfun | Extract Window of Spatial Object
Window.funxy | Extract Window of Spatial Object
Window.im | Extract or Change the Window of a Spatial Object
Window.layered | Extract Window of Spatial Object
Window.nnfun | Extract Window of Spatial Object
Window.ppp | Extract or Change the Window of a Spatial Object
Window.psp | Extract or Change the Window of a Spatial Object
Window.quad | Extract or Change the Window of a Spatial Object
Window.quadratcount | Extract Window of Spatial Object
Window.tess | Extract Window of Spatial Object
Window<- | Extract or Change the Window of a Spatial Object
Window<-.im | Extract or Change the Window of a Spatial Object
Window<-.ppp | Extract or Change the Window of a Spatial Object
Window<-.psp | Extract or Change the Window of a Spatial Object
Window<-.quad | Extract or Change the Window of a Spatial Object
with.hyperframe | Evaluate an Expression in Each Row of a Hyperframe

## -- Y --

yardstick | Text, Arrow or Scale Bar in a Diagram

## -- Z --

zapsmall.im | Rounding of Pixel Values

## -- misc --

$.hyperframe | Extract or Replace Subset of Hyperframe
$<-.hyperframe | Extract or Replace Subset of Hyperframe
%(+)% | Minkowski Sum of Windows
%(-)% | Morphological Erosion of Windows
%mark% | Marks of a Point Pattern
[.anylist | Extract or Replace Subset of a List of Things
[.hyperframe | Extract or Replace Subset of Hyperframe
[.im | Extract Subset of Image
[.layered | Extract or Replace Subset of a Layered Object
[.owin | Extract Subset of Window
[.ppp | Extract or Replace Subset of Point Pattern
[.ppx | Extract Subset of Multidimensional Point Pattern
[.psp | Extract Subset of Line Segment Pattern
[.quad | Subset of Quadrature Scheme
[.solist | Extract or Replace Subset of a List of Spatial Objects
[.splitppp | Extract or Replace Sub-Patterns
[.tess | Extract or Replace Subset of Tessellation
[<-.anylist | Extract or Replace Subset of a List of Things
[<-.hyperframe | Extract or Replace Subset of Hyperframe
[<-.im | Reset Values in Subset of Image
[<-.layered | Extract or Replace Subset of a Layered Object
[<-.listof | Extract or Replace Subset of a List of Things
[<-.ppp | Extract or Replace Subset of Point Pattern
[<-.solist | Extract or Replace Subset of a List of Spatial Objects
[<-.splitppp | Extract or Replace Sub-Patterns
[<-.tess | Extract or Replace Subset of Tessellation
[[.hyperframe | Extract or Replace Subset of Hyperframe
[[<-.hyperframe | Extract or Replace Subset of Hyperframe
[[<-.layered | Extract or Replace Subset of a Layered Object
[[<-.solist | Extract or Replace Subset of a List of Spatial Objects