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spatstat.geom (version 3.7-2)

Geometrical Functionality of the 'spatstat' Family

Description

Defines spatial data types and supports geometrical operations on them. Data types include point patterns, windows (domains), pixel images, line segment patterns, tessellations and hyperframes. Capabilities include creation and manipulation of data (using command line or graphical interaction), plotting, geometrical operations (rotation, shift, rescale, affine transformation), convex hull, discretisation and pixellation, Dirichlet tessellation, Delaunay triangulation, pairwise distances, nearest-neighbour distances, distance transform, morphological operations (erosion, dilation, closing, opening), quadrat counting, geometrical measurement, geometrical covariance, colour maps, calculus on spatial domains, Gaussian blur, level sets of images, transects of images, intersections between objects, minimum distance matching. (Excludes spatial data on a network, which are supported by the package 'spatstat.linnet'.)

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Version

Install

install.packages('spatstat.geom')

Monthly Downloads

74,422

Version

3.7-2

License

GPL (>= 2)

Maintainer

Adrian Baddeley

Last Published

March 21st, 2026

Functions in spatstat.geom (3.7-2)

Extract.ppp

Extract or Replace Subset of Point Pattern
Extract.ppx

Extract Subset of Multidimensional Point Pattern
Extract.quad

Subset of Quadrature Scheme
Extract.psp

Extract Subset of Line Segment Pattern
Extract.owin

Extract Subset of Window
Extract.hyperframe

Extract or Replace Subset of Hyperframe
Extract.layered

Extract or Replace Subset of a Layered Object
Extract.listof

Extract or Replace Subset of a List of Things
Extract.anylist

Extract or Replace Subset of a List of Things
Extract.im

Extract Subset of Image
FeretDiamFun

Feret Diameter as a Function of Direction
Frame

Extract or Change the Containing Rectangle of a Spatial Object
MinkowskiSum

Minkowski Sum of Windows
Math.im

S3 Group Generic methods for images
Extract.tess

Extract or Replace Subset of Tessellation
NAobject

Make an NA Object
Math.imlist

S3 Group Generic methods for List of Images
SupportFun

Support Function
add.texture

Fill Plot With Texture
Window.tess

Extract Window of Spatial Object
Extract.solist

Extract or Replace Subset of a List of Spatial Objects
affine.im

Apply Affine Transformation To Pixel Image
FeretBox

Feret Box Enclosing a Domain
Extract.splitppp

Extract or Replace Sub-Patterns
Replace.im

Reset Values in Subset of Image
affine

Apply Affine Transformation
Window

Extract or Change the Window of a Spatial Object
affine.psp

Apply Affine Transformation To Line Segment Pattern
affine.ppp

Apply Affine Transformation To Point Pattern
affine.owin

Apply Affine Transformation To Window
as.box3

Convert Data to Three-Dimensional Box
anyNA.im

Check Whether Image Contains NA Values
anylist

List of Objects
areaLoss

Difference of Disc Areas
append.psp

Combine Two Line Segment Patterns
applynbd

Apply Function to Every Neighbourhood in a Point Pattern
angles.psp

Orientation Angles of Line Segments
affine.tess

Apply Geometrical Transformation To Tessellation
as.boxx

Convert Data to Multi-Dimensional Box
as.data.frame.tess

Convert Tessellation 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.psp

Coerce Line Segment Pattern to a Data Frame
as.colourmap

Convert to Colour Map
as.function.im

Convert Pixel Image to Function of Coordinates
area.owin

Area of a Window
as.function.owin

Convert Window to Indicator Function
areaGain

Difference of Disc Areas
as.data.frame.hyperframe

Coerce Hyperframe to Data Frame
as.data.frame.im

Convert Pixel Image to Data Frame
as.layered

Convert Data To Layered Object
as.hyperframe

Convert Data to Hyperframe
as.polygonal

Convert a Window to a Polygonal Window
as.owin

Convert Data To Class owin
as.function.tess

Convert a Tessellation to a Function
as.mask

Pixel Image Approximation of a Window
as.matrix.owin

Convert Pixel Image to Matrix
as.matrix.im

Convert Pixel Image to Matrix or Array
as.hyperframe.ppx

Extract coordinates and marks of multidimensional point pattern
as.im

Convert to Pixel Image
as.solist

Convert List of Two-Dimensional Spatial Objects
border

Border Region of a Window
as.ppp

Convert Data To Class ppp
beachcolours

Create Colour Scheme for a Range of Numbers
bdist.tiles

Distance to Boundary of Window
as.rectangle

Window Frame
bdist.pixels

Distance to Boundary of Window
as.psp

Convert Data To Class psp
bdist.points

Distance to Boundary of Window
as.tess

Convert Data To Tessellation
cbind.hyperframe

Combine Hyperframes by Rows or by Columns
boundingcircle

Smallest Enclosing Circle
bounding.box.xy

Convex Hull of Points
by.ppp

Apply a Function to a Point Pattern Broken Down by Factor
bufftess

Buffer Distance Tessellation
boundingbox

Bounding Box of a Window, Image, or Point Pattern
boxx

Multi-Dimensional Box
by.im

Apply Function to Image Broken Down by Factor
centroid.owin

Centroid of a window
clickdist

Interactively Measure Distance
closing

Morphological Closing
closetriples

Close Triples of Points
closepairs

Close Pairs of Points
box3

Three-Dimensional Box
closepairs.pp3

Close Pairs of Points in 3 Dimensions
clickpoly

Interactively Define a Polygon
chop.tess

Subdivide a Window or Tessellation using a Set of Lines
clickbox

Interactively Define a Rectangle
clickppp

Interactively Add Points
clip.infline

Intersect Infinite Straight Lines with a Window
connected.ppp

Connected Components of a Point Pattern
colourmap

Colour Lookup Tables
concatxy

Concatenate x,y Coordinate Vectors
complement.owin

Take Complement of a Window
compatible.im

Test Whether Pixel Images Are Compatible
compatible

Test Whether Objects Are Compatible
connected

Connected components
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
contour.imlist

Array of Contour Plots
connected.tess

Connected Components of Tiles of a Tessellation
convexhull

Convex Hull
contour.im

Contour plot of pixel image
convexify

Weil's Convexifying Operation
convexhull.xy

Convex Hull of Points
crossdist.default

Pairwise distances between two different sets of points
crossdist.pp3

Pairwise distances between two different three-dimensional point patterns
corners

Corners of a rectangle
crossdist.ppp

Pairwise distances between two different point patterns
covering

Cover Region with Discs
coords

Extract or Change Coordinates of a Spatial or Spatiotemporal Point Pattern
convexmetric

Distance Metric Defined by Convex Set
crossdist

Pairwise distances
crossdist.ppx

Pairwise Distances Between Two Different Multi-Dimensional Point Patterns
convolve.im

Convolution of Pixel Images
cut.im

Convert Pixel Image from Numeric to Factor
crossdist.psp

Pairwise distances between two different line segment patterns
crossing.psp

Crossing Points of Two Line Segment Patterns
cut.ppp

Classify Points in a Point Pattern
deltametric

Delta Metric
diameter

Diameter of an Object
delaunayDistance

Distance on Delaunay Triangulation
diameter.box3

Geometrical Calculations for Three-Dimensional Box
default.colourmap

Default Colour Map for Plotting a Spatial Pattern
default.dummy

Generate a Default Pattern of Dummy Points
dirichletWeights

Compute Quadrature Weights Based on Dirichlet Tessellation
dirichletVertices

Vertices and Edges of Dirichlet Tessellation
default.symbolmap

Default Symbol Map for Plotting a Spatial Pattern
diameter.owin

Diameter of a Window
dilated.areas

Areas of Morphological Dilations
diameter.boxx

Geometrical Calculations for Multi-Dimensional Box
default.symbolmap.ppp

Default Symbol Map for Point Pattern
delaunay

Delaunay Triangulation of Point Pattern
dirichletAreas

Compute Areas of Tiles in Dirichlet Tessellation
default.image.colours

Default Colours for Images in Spatstat
dirichlet

Dirichlet Tessellation of Point Pattern
dilation

Morphological Dilation
discpartarea

Area of Part of Disc
disc

Circular Window
domain

Extract the Domain of any Spatial Object
duplicated.ppp

Determine Duplicated Points in a Spatial Point Pattern
discretise

Safely Convert Point Pattern Window to Binary Mask
discs

Union of Discs
distmap.psp

Distance Map of Line Segment Pattern
edges

Extract Boundary Edges of a Window.
distmap.ppp

Distance Map of Point Pattern
distmap

Distance Map
distfun

Distance Map as a Function
distmap.owin

Distance Map of Window
edit.ppp

Invoke Text Editor on Spatial Data
edit.hyperframe

Invoke Text Editor on Hyperframe
ellipse

Elliptical Window.
endpoints.psp

Endpoints of Line Segment Pattern
eval.im

Evaluate Expression Involving Pixel Images
edges2vees

List Dihedral Triples in a Graph
erosionAny

Morphological Erosion of Windows
extrapolate.psp

Extrapolate Line Segments to Obtain Infinite Lines
funxy

Spatial Function Class
gridweights

Compute Quadrature Weights Based on Grid Counts
edges2triangles

List Triangles in a Graph
fillholes.owin

Remove Small Holes in a Window
eroded.areas

Areas of Morphological Erosions
fardist

Farthest Distance to Boundary of Window
erosion

Morphological Erosion by a Disc
flipxy

Exchange X and Y Coordinates
gridcentres

Rectangular grid of points
harmonise.im

Make Pixel Images Compatible
harmoniseLevels

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

Check Whether Points Have Close Neighbours
fourierbasis

Fourier Basis Functions
grow.boxx

Add margins to box in any dimension
hist.funxy

Histogram of Values of a Spatial Function
hist.im

Histogram of Pixel Values in an Image
hextess

Hexagonal Grid or Tessellation
harmonise.owin

Make Windows Compatible
headtail

First or Last Part of a Spatial Pattern
framedist.pixels

Distance to Bounding Frame
harmonise

Make Objects Compatible
grow.rectangle

Add margins to rectangle
im.apply

Apply Function Pixelwise to List of Images
identify.psp

Identify Segments in a Line Segment Pattern
identify.ppp

Identify Points in a Point Pattern
incircle

Find Largest Circle Inside Window
im

Create a Pixel Image Object
hyperframe

Hyper Data Frame
infline

Infinite Straight Lines
identify.tess

Interactively Identify Tiles of a Tessellation
im.object

Class of Images
imcov

Spatial Covariance of a Pixel Image
integral.im

Integral of a Pixel Image
inside.boxx

Test Whether Points Are Inside A Multidimensional Box
inside.owin

Test Whether Points Are Inside A Window
interp.colourmap

Interpolate smoothly between specified colours
intensity.quadratcount

Intensity Estimates Using Quadrat Counts
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
invoke.metric

Perform Geometric Task using a Specified Metric
intensity.ppx

Intensity of a Multidimensional Space-Time Point Pattern
is.NAobject

Recognise NA Objects
interp.im

Interpolate a Pixel Image
intensity.psp

Empirical Intensity of Line Segment Pattern
intersect.tess

Intersection of Two Tessellations
intersect.owin

Intersection, Union or Set Subtraction of Windows
is.boxx

Recognise a Multi-Dimensional Box
invoke.symbolmap

Plot Data Using Graphics Symbol Map
is.marked

Test Whether Marks Are Present
is.im

Test Whether An Object Is A Pixel Image
is.marked.ppp

Test Whether A Point Pattern is Marked
is.linim

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

Test Whether An Object Is A Linear Network
intersect.boxx

Intersection Of Boxes Of Arbitrary Dimension
is.lpp

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

Test whether Object is Multitype
is.subset.owin

Determine Whether One Window is Contained In Another
is.rectangle

Determine Type of Window
is.multitype.ppp

Test Whether A Point Pattern is Multitype
is.connected.ppp

Determine Whether a Point Pattern is Connected
is.connected

Determine Whether an Object is Connected
is.empty

Test Whether An Object Is Empty
layout.boxes

Generate a Row or Column Arrangement of Rectangles.
lengths_psp

Lengths of Line Segments
is.na.hyperframe

Identify Missing Entries in a Hyperframe
layerplotargs

Extract or Replace the Plot Arguments of a Layered Object
is.na.solist

Identify Missing Entries in a List of Spatial Objects
is.convex

Test Whether a Window is Convex
layered

Create List of Plotting Layers
is.ppp

Test Whether An Object Is A Point Pattern
levelset

Level Set of a Pixel Image
is.owin

Test Whether An Object Is A Window
mean.im

Mean and Median of Pixel Values in an Image
maxnndist

Compute Minimum or Maximum Nearest-Neighbour Distance
marks.tess

Marks of a Tessellation
marks.psp

Marks of a Line Segment Pattern
matchingdist

Distance for a Point Pattern Matching
methods.boxx

Methods for Multi-Dimensional Box
methods.box3

Methods for Three-Dimensional Box
methods.distfun

Geometrical Operations for Distance Functions
mergeLevels

Merge Levels of a Factor
markstat

Summarise Marks in Every Neighbourhood in a Point Pattern
methods.ppx

Methods for Multidimensional Space-Time Point Patterns
marks

Marks of a Point Pattern
methods.unitname

Methods for Units
lut

Lookup Tables
mergeTiles

Merge Groups of Tiles in a Tessellation
levelset.distfun

Level Set of a Distance Function
methods.layered

Methods for Layered Objects
metric.object

Distance Metric
methods.funxy

Methods for Spatial Functions
nearest.raster.point

Find Pixel Nearest to a Given Point
methods.pp3

Methods for three-dimensional point patterns
multiplicity.ppp

Count Multiplicity of Duplicate Points
nncross.pp3

Nearest Neighbours Between Two Patterns in 3D
nncross.ppx

Nearest Neighbours Between Two Patterns in Any Dimensions
nncross

Nearest Neighbours Between Two Patterns
nestsplit

Nested Split
midpoints.psp

Midpoints of Line Segment Pattern
nearestValue

Image of Nearest Defined Pixel Value
nearestsegment

Find Line Segment Nearest to Each Point
nnmap

K-th Nearest Point Map
nnfun

Nearest Neighbour Index Map as a Function
nnmark

Mark of Nearest Neighbour
nnwhich

Nearest neighbour
nnwhich.ppx

Nearest Neighbours in Any Dimensions
nnwhich.pp3

Nearest neighbours in three dimensions
nndist.pp3

Nearest neighbour distances in three dimensions
nndist

Nearest neighbour distances
owin.object

Class owin
owin

Create a Window
nsegments

Number of Line Segments in a Line Segment Pattern
nvertices

Count Number of Vertices
opening

Morphological Opening
overlap.owin

Compute Area of Overlap
nndist.psp

Nearest neighbour distances between line segments
nndist.ppx

Nearest Neighbour Distances in Any Dimensions
pHcolourmap

Colour Map for pH Values
owin2mask

Convert Window to Binary Mask under Constraints
nobjects

Count Number of Geometrical Objects in a Spatial Dataset
npoints

Number of Points in a Point Pattern
padimage

Pad the Border of a Pixel Image
pairdist

Pairwise distances
pairdist.pp3

Pairwise distances in Three Dimensions
pairdist.default

Pairwise distances
pairdist.ppp

Pairwise distances
pairdist.psp

Pairwise distances between line segments
pairdist.ppx

Pairwise Distances in Any Dimensions
persp.im

Perspective Plot of Pixel Image
periodify

Make Periodic Copies of a Spatial Pattern
perimeter

Perimeter Length of Window
pixellate.owin

Convert Window to Pixel Image
pixellate

Convert Spatial Object to Pixel Image
perspPoints

Draw Points or Lines on a Surface Viewed in Perspective
pixelcentres

Extract Pixel Centres as Point Pattern
persp.ppp

Perspective Plot of Marked Point Pattern
pixellate.ppp

Convert Point Pattern to Pixel Image
plot.colourmap

Plot a Colour Map
plot.anylist

Plot a List of Things
pixellate.psp

Convert Line Segment Pattern to Pixel Image
pixelquad

Quadrature Scheme Based on Pixel Grid
plot.imlist

Plot a List of Images
plot.hyperframe

Plot Entries in a Hyperframe
plot.onearrow

Plot an Arrow
plot.layered

Layered Plot
plot.listof

Plot a List of Things
plot.im

Plot a Pixel Image
plot.ppp

plot a Spatial Point Pattern
plot.pp3

Plot a Three-Dimensional Point Pattern
plot.owin

Plot a Spatial Window
plot.pppmatching

Plot a Point Matching
plot.textstring

Plot a Text String
plot.splitppp

Plot a List of Point Patterns
plot.solist

Plot a List of Spatial Objects
plot.quad

Plot a Spatial Quadrature Scheme
plot.texturemap

Plot a Texture Map
plot.symbolmap

Plot a Graphics Symbol Map
plot.quadratcount

Plot Quadrat Counts
plot.tess

Plot a Tessellation
plot.yardstick

Plot a Yardstick or Scale Bar
plot.psp

plot a Spatial Line Segment Pattern
pppdist

Distance Between Two Point Patterns
ppp

Create a Point Pattern
ppp.object

Class of Point Patterns
pppmatching

Create a Point Matching
polartess

Tessellation Using Polar Coordinates
pppmatching.object

Class of Point Matchings
pointsOnLines

Place Points Evenly Along Specified Lines
pp3

Three Dimensional Point Pattern
ppx

Multidimensional Space-Time Point Pattern
progressreport

Print Progress Reports
psp

Create a Line Segment Pattern
polarbody

Polar Body and Voronoi Flower
print.im

Print Brief Details of an Image
print.ppp

Print Brief Details of a Point Pattern Dataset
print.owin

Print Brief Details of a Spatial Window
project2segment

Move Point To Nearest Line
print.quad

Print a Quadrature Scheme
psp.object

Class of Line Segment Patterns
print.psp

Print Brief Details of a Line Segment Pattern Dataset
project2set

Find Nearest Point in a Region
quadrats

Divide Region into Quadrats
quadratcount

Quadrat counting for a point pattern
quantess

Quantile Tessellation
quantile.im

Sample Quantiles of Pixel Image
rectdistmap

Distance Map Using Rectangular Distance Metric
reflect

Reflect In Origin
requireversion

Require a Specific Version of a Package
rescale

Convert dataset to another unit of length
quadscheme.logi

Generate a Logistic Regression Quadrature Scheme from a Point Pattern
raster.x

Cartesian Coordinates for a Pixel Raster
quadscheme

Generate a Quadrature Scheme from a Point Pattern
rQuasi

Generate Quasirandom Point Pattern in Given Window
relevel.im

Reorder Levels of a Factor-Valued Image or Pattern
quad.object

Class of Quadrature Schemes
regularpolygon

Create A Regular Polygon
rescale.im

Convert Pixel Image to Another Unit of Length
quasirandom

Quasirandom Patterns
psp2mask

Convert Line Segment Pattern to Binary Pixel Mask
quantilefun.im

Quantile Function for Images
rescale.ppp

Convert Point Pattern to Another Unit of Length
rgbim

Create Colour-Valued Pixel Image
ripras

Estimate window from points alone
rescale.psp

Convert Line Segment Pattern to Another Unit of Length
run.simplepanel

Run Point-and-Click Interface
rescue.rectangle

Convert Window Back To Rectangle
rounding.ppp

Detect Numerical Rounding
rsyst

Simulate systematic random point pattern
rotate.psp

Rotate a Line Segment Pattern
rlinegrid

Generate grid of parallel lines with random displacement
rotate.infline

Rotate or Shift Infinite Lines
rotate.ppp

Rotate a Point Pattern
rescale.owin

Convert Window to Another Unit of Length
restrict.colourmap

Restrict a Colour Map to a Subset of Values
selfcrossing.psp

Crossing Points in a Line Segment Pattern
rjitter

Random Perturbation of a Point Pattern
rotate.owin

Rotate a Window
round.ppp

Apply Numerical Rounding to Spatial Coordinates
selfcut.psp

Cut Line Segments Where They Intersect
rev.colourmap

Reverse the Colours in a Colour Map
shift.im

Apply Vector Translation To Pixel Image
shift

Apply Vector Translation
scalardilate

Apply Scalar Dilation
sessionLibs

Print Names and Version Numbers of Libraries Loaded
setcov

Set Covariance of a Window
runifrect

Generate N Uniform Random Points in a Rectangle
shift.owin

Apply Vector Translation To Window
shift.ppp

Apply Vector Translation To Point Pattern
shift.psp

Apply Vector Translation To Line Segment Pattern
shift.ppx

Apply Vector Translation To Box Or Point Pattern In Arbitrary Dimension
solutionset

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

Simple Point-and-Click Interface Panels
solist

List of Two-Dimensional Spatial Objects
sidelengths.owin

Side Lengths of Enclosing Rectangle of a Window
rotate

Rotate
rotate.im

Rotate a Pixel Image
scanpp

Read Point Pattern From Data File
scaletointerval

Rescale Data to Lie Between Specified Limits
solapply

Apply a Function Over a List and Obtain a List of Objects
simplify.owin

Approximate a Window by a Simpler Polygon
rexplode

Explode a Point Pattern by Displacing Duplicated Points
spatdim

Spatial Dimension of a Dataset
spatstat.geom-internal

Internal spatstat.geom functions
spatstat.geom-deprecated

Deprecated spatstat.geom functions
spatstat.options

Internal Options in Spatstat Package
split.im

Divide Image Into Sub-images
split.ppx

Divide Multidimensional Point Pattern into Sub-patterns
spatstat.geom-package

The spatstat.geom Package
spokes

Spokes pattern of dummy points
split.ppp

Divide Point Pattern into Sub-patterns
split.hyperframe

Divide Hyperframe Into Subsets and Reassemble
square

Square Window
subset.hyperframe

Subset of Hyperframe Satisfying A Condition
summary.owin

Summary of a Spatial Window
summary.listof

Summary of a List of Things
subset.ppp

Subset of Point Pattern Satisfying A Condition
stratrand

Stratified random point pattern
summary.distfun

Summarizing a Function of Spatial Location
summary.im

Summarizing a Pixel Image
subset.psp

Subset of Line Segment Satisfying A Condition
summary.anylist

Summary of a List of Things
summary.solist

Summary of a List of Spatial Objects
symbolmap

Graphics Symbol Map
summary.splitppp

Summary of a Split Point Pattern
text.ppp

Add Text Labels to Spatial Pattern
summary.psp

Summary of a Line Segment Pattern Dataset
test.crossing.psp

Check Whether Segments Cross
tess

Create a Tessellation
summary.ppp

Summary of a Point Pattern Dataset
superimpose

Superimpose Several Geometric Patterns
summary.quad

Summarizing a Quadrature Scheme
tileindex

Determine Which Tile Contains Each Given Point
tile.centroids

Compute Centroids of Tiles in a Tessellation
texturemap

Texture Map
tile.areas

Compute Areas of Tiles in a Tessellation
textureplot

Plot Image or Tessellation Using Texture Fill
timeTaken

Extract the Total Computation Time
timed

Record the Computation Time
tiles

Extract List of Tiles in a Tessellation
tiles.empty

Check For Empty Tiles in a Tessellation
transmat

Convert Pixel Array Between Different Conventions
trim.rectangle

Cut margins from rectangle
unmark

Remove Marks
tilenames

Names of Tiles in a Tessellation
uniquemap.ppp

Map Duplicate Entries to Unique Entries
union.quad

Union of Data and Dummy Points
unstack.ppp

Separate Multiple Columns of Marks
unitname

Name for Unit of Length
vertices

Vertices of a Window
venn.tess

Tessellation Delimited by Several Sets
tweak.colourmap

Change Colour Values in a Colour Map
volume

Volume of an Object
unique.ppp

Extract Unique Points from a Spatial Point Pattern
where.max

Find Location of Maximum in a Pixel Image
unstack.solist

Unstack Each Spatial Object in a List of Objects
update.symbolmap

Update a Graphics Symbol Map.
zapsmall.im

Rounding of Pixel Values
triangulate.owin

Decompose Window into Triangles
yardstick

Text, Arrow or Scale Bar in a Diagram
whichhalfplane

Test Which Side of Infinite Line a Point Falls On
with.hyperframe

Evaluate an Expression in Each Row of a Hyperframe