spatstat.geom

Spatial data classes and geometrical functionality for the spatstat family

The original spatstat package has been split into several sub-packages. This package spatstat.geom is one of the sub-packages. It defines classes of spatial objects, and supports geometrical operations on them.

The reorganisation of spatstat into a family of packages is described on the GitHub repository spatstat/spatstat.

This repository holds the latest development version of spatstat.geom. For the latest public release on CRAN, click the green badge above.

Overview

spatstat.geom supports

• classes of spatial objects
• basic support for spatial objects
• graphics
• interaction with spatial objects
• geometrical operations
• morphological operations
• image processing

Detailed contents

For a full list of functions, see the help file for spatstat.geom-package.

Classes of spatial objects in 2D

• point patterns (ppp)
• spatial regions or windows (owin)
• pixel images (im)
• line segment patterns (psp)
• tessellations (tess)
• linear networks (linnet)

Classes of spatial objects in 3D and higher

• 3D point patterns (pp3)
• general multidimensional space-time point patterns (ppx)

Basic support

• printing spatial objects
• basic summary information about spatial objects
• subsetting, splitting, superimposing spatial patterns
• extracting information such as spatial coordinates
• pixellation
• discretisation of coordinates
• interpolation of images
• solution set, level set
• identifying duplicated elements

Graphics

• plotting spatial patterns
• plotting images (depicted as colour images, contour plots, perspective views, composite images)
• graphical information (layered objects, colour maps, symbol maps)

Interactive

• interactive data entry and editing for spatial objects
• identify methods for identifying individual elements
• simple interactive panels (simplepanel)

Geometry

• geometrical transformations (rotate, scalardilation, shift, reflect, flipxy, affine)
• set operations (intersect.owin, union.owin, complement.owin, setminus.owin)
• test whether a point falls inside a set
• convex hull
• geometrical mensuration (measuring areas, lengths, angles, diameter)

Distance Operations

• nearest neighbour
• nearest neighbour distance
• pairwise distances
• distance map/ distance transform

Geometrical constructions

• tessellations (tess, hextess, quadrats, venn.tess, polartess, dirichlet, delaunay, quantess, rpoislinetess)
• triangulation
• discretisation
• bounding box

Mathematical Morphology

• erosion, dilation
• opening, closing
• morphological distance transform

Image Processing

• pixel-by-pixel computation (Math.im, eval.im, im.apply)
• set covariance function (setcov)
• convolution of images (imcov)

Elementary summary statistics

Summary statistics are mostly provided in the spatstat.explore package. However, spatstat.geom provides functions for calculating

• average intensity of a point pattern (intensity)
• quadrat counts (quadratcount)

Elementary generation of random patterns

Functions for generating random spatial patterns are mostly provided in the spatstat.random package. However, spatstat.geom provides basic functions for generating

• random points in a rectangle (runifrect)
• quasirandom points (rQuasi)