pcds: pcds: A package for Proximity Catch Digraphs and Their...
In elvanceyhan/pcds: Proximity Catch Digraphs and Their Applications
pcds R Documentation
pcds: A package for Proximity Catch Digraphs and Their Applications
Description
pcds is a package for construction and
visualization of proximity catch digraphs (PCDs)
and computation of two graph invariants of the PCDs and
testing spatial patterns using these invariants.
The PCD families considered are Arc-Slice (AS) PCDs,
Proportional-Edge (PE) PCDs
and Central Similarity (CS) PCDs.
Details
The graph invariants used in testing spatial point data are
the domination number
(\insertCiteceyhan:dom-num-NPE-Spat2011;textualpcds)
and arc density (\insertCiteceyhan:arc-density-PE,ceyhan:arc-density-CS;textualpcds)
of for two-dimensional data.
The pcds package also 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 (\insertCiteceyhan:Phd-thesis;textualpcds).
Moreover, the package has 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.
The pcds functions
The pcds functions can be grouped as Auxiliary Functions,
AS-PCD Functions,
PE-PCD Functions,
and CS-PCD Functions.
Auxiliary Functions
Contains the auxiliary (or utility) functions for constructing and
visualizing Delaunay tessellations in 1D and 2D settings,
computing the domination number,
constructing the geometrical tools,
such as equation of lines for two points,
distances between lines and points, checking points inside the triangle etc.,
finding the (local) extrema (restricted to Delaunay cells
or vertex or edge regions in them).
Arc-Slice PCD Functions
Contains the functions used in AS-PCD construction,
estimation of domination number,
arc density, etc in the 2D setting.
Proportional-Edge PCD Functions
Contains the functions used in PE-PCD construction,
estimation of domination number,
arc density, etc in the 1D-3D settings.
Central-Similarity PCD Functions
Contains the functions used in CS-PCD construction,
estimation of domination number,
arc density, etc in the 1D and 2D setting.
Point Generation Functions
Contains functions for generation of points from uniform (or CSR),
segregation and association patterns.
In all these functions points are vectors,
and data sets are either matrices or data frames.
References
\insertAllCited
elvanceyhan/pcds documentation built on June 29, 2023, 8:12 a.m.
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| pcds | R Documentation |
pcds: A package for Proximity Catch Digraphs and Their Applications
Description
pcds is a package for construction and
visualization of proximity catch digraphs (PCDs)
and computation of two graph invariants of the PCDs and
testing spatial patterns using these invariants.
The PCD families considered are Arc-Slice (AS) PCDs,
Proportional-Edge (PE) PCDs
and Central Similarity (CS) PCDs.
Details
The graph invariants used in testing spatial point data are the domination number (\insertCiteceyhan:dom-num-NPE-Spat2011;textualpcds) and arc density (\insertCiteceyhan:arc-density-PE,ceyhan:arc-density-CS;textualpcds) of for two-dimensional data.
The pcds package also 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 (\insertCiteceyhan:Phd-thesis;textualpcds).
Moreover, the package has 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.
The pcds functions
The pcds functions can be grouped as Auxiliary Functions,
AS-PCD Functions,
PE-PCD Functions,
and CS-PCD Functions.
Auxiliary Functions
Contains the auxiliary (or utility) functions for constructing and visualizing Delaunay tessellations in 1D and 2D settings, computing the domination number, constructing the geometrical tools, such as equation of lines for two points, distances between lines and points, checking points inside the triangle etc., finding the (local) extrema (restricted to Delaunay cells or vertex or edge regions in them).
Arc-Slice PCD Functions
Contains the functions used in AS-PCD construction, estimation of domination number, arc density, etc in the 2D setting.
Proportional-Edge PCD Functions
Contains the functions used in PE-PCD construction, estimation of domination number, arc density, etc in the 1D-3D settings.
Central-Similarity PCD Functions
Contains the functions used in CS-PCD construction, estimation of domination number, arc density, etc in the 1D and 2D setting.
Point Generation Functions
Contains functions for generation of points from uniform (or CSR), segregation and association patterns.
In all these functions points are vectors, and data sets are either matrices or data frames.
References
\insertAllCitedR Package Documentation
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