pcds is a package for generation, computation and visualization of proximity catch digraphs
and tests based on them.
The pcds functions can be grouped as Auxiliary Functions, AS-PCD Functions, PE-PCD Functions,
and CS-PCD Functions.
Contains the auxiliary functions used in PCD calculations, such as equation of lines for two points, distances between lines and points, generation of points from uniform, segregation and association patterns, checking points inside the triangle etc. In all these functions points are vectors, and data sets are either matrices or data frames.
Contains the functions used in AS-PCD calculations, such as generation of data in a given a triangle and estimation of gamma, arc density, etc.
Contains the functions used in PE-PCD calculations, such as generation of data in a given interval, triangle and tetrahedron and estimation of gamma, arc density, etc.
Contains the functions used in CS-PCD calculations, such as generation of data in a given interval and triangle and estimation of gamma, arc density, etc.
The pcds package contains the functions for generating patterns of segregation, association, CSR
(complete spatial randomness) and Uniform data in one, two and three dimensional cases,
for testing these patterns based on two invariants of various families of the proximity catch digraphs (PCDs),
(see (ceyhan:Phd-thesis;textualpcds).
The graph invariants used in testing spatial point data are the domination number (ceyhan:dom-num-NPE-Spat2011;textualpcds) and arc density (ceyhan:arc-density-PE,ceyhan:arc-density-CS;textualpcds) of for two-dimensional data for visualization of PCDs for one, two and three dimensional data. The PCD families considered are Arc-Slice PCDs, Proportional-Edge PCDs and Central Similarity PCDs.
The package also contains visualization tools for these digraphs for 1D-3D vertices. The AS-PCD related tools are provided for 1D and 2D data; PE-PCD related tools are provided for 1D-3D data, and CS-PCD tools are provided for 1D and 2D data.