Proximity Catch Digraphs and Their Applications
The plot of the Central Similarity (CS) Proximity Regions for a genera...
The plot of the Central Similarity (CS) Proximity Regions for a 2D dat...
The plot of the Central Similarity (CS) Proximity Regions for a 2D dat...
The plot of the Central Similarity (CS) Proximity Regions (vertices ji...
The indicator for two 3D points constituting a dominating set for Prop...
The indicator for two 3D points constituting a dominating set for Prop...
The indicator for two points constituting a dominating set for Proport...
The indicator for three 3D points constituting a dominating set for Pr...
The indicator for the presence of an arc from a point to another for C...
The indicator for the presence of an arc from a point to another for C...
The indicator for the presence of an arc from a point to another for C...
The indicator for the presence of an arc from a point to another for C...
The indicator for the presence of an arc from a point in set S to th...
The indicator for the presence of an arc from a point in set S to th...
The indicator for the presence of an arc from a point to another for C...
The indicator for three 3D points constituting a dominating set for Pr...
Indicator for an upper bound for the domination number of Arc Slice Pr...
The indicator for k being an upper bound for the domination number o...
Indicator for an upper bound for the domination number of Central Simi...
The indicator for the set of points S being a dominating set or not ...
The indicator for the set of points S being a dominating set or not ...
The indicator for the set of points S being a dominating set or not ...
The indicator for the set of points S being a dominating set or not ...
The indicator for the set of points S being a dominating set or not ...
Check whether a point is inside a circle
Check whether a point is inside a tetrahedron
The angles to draw arcs between two line segments
The angle between two line segments
The arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for a 2D data s...
The arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for 2D data - o...
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D...
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D...
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D...
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D...
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D...
The arcs of Central Similarity Proximity Catch Digraphs (CS-PCD) for 2...
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D ...
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D ...
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D ...
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D ...
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D ...
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D ...
The area of a polygon in
The labels of the vertices of a triangle in the basic triangle form
Arc density of Arc Slice Proximity Catch Digraphs (AS-PCDs) - one tria...
Centers for non-degenerate asymptotic distribution of domination numbe...
Parameterized center of an interval
Parameterized centers of intervals
Circumcenter of a standard basic triangle form
Circumcenter of a general tetrahedron
Circumcenter of a general triangle
The closest points to circumcenter in each -vertex region in a sta...
The closest points to circumcenter in each -vertex region in a tri...
The closest points in a data set to edges in the standard equilateral ...
The closest points among a data set in the vertex regions to the corre...
The closest points in a data set to edges in each -vertex region i...
The closest points in a data set to edges in each -vertex region i...
The closest points among a data set in the vertex regions to the respe...
The closest points among a data set in the vertex regions to the respe...
The closest points to center in each vertex region in an interval
A test of uniformity of 1D data in a given interval based on Central S...
A test of segregation/association based on arc density of Central Simi...
A test of segregation/association based on arc density of Central Simi...
Arc density of Central Similarity Proximity Catch Digraphs (CS-PCDs) -...
The dimension of a vector or matrix or a data frame
The distance from a point to a line defined by two points
The distance from a point to a plane spanned by three 3D points
Distance from a point to a set of finite cardinality
The distance between two vectors, matrices, or data frames
Exact domination number (i.e., domination number by the exact algorith...
Approximate domination number and approximate dominating set by the gr...
.onAttach start message
.onLoad getOption package settings
The vertices of the -edge region in a triangle that contains the p...
The furthest points in a data set from edges in each -edge region ...
The furthest points from vertices in each -vertex region in a stan...
The furthest points in a data set from vertices in each -vertex re...
The lines joining two vertices to the center of mass in standard equil...
The lines joining the three vertices of the standard equilateral trian...
Converts of a point in Cartesian coordinates to Barycentric coordinate...
Each function is for the presence of an arc from a point in one of the...
The function gammakCSstd.tri is for () points constit...
Each function is for the presence of an arc from a point in one of the...
Functions provide the indices of the Delaunay triangles where the poin...
Returning the mean and (asymptotic) variance of arc density of Central...
Returns the mean and (asymptotic) variance of arc density of Central S...
Returns the mean and (asymptotic) variance of arc density of Central S...
Returns the mean and (asymptotic) variance of arc density of Proportio...
Returns the mean and (asymptotic) variance of arc density of Proportio...
Returns the mean and (asymptotic) variance of arc density of Proportio...
The functions for probability of domination number for Proportio...
Returns the ranks and orders of points in decreasing distance to the e...
Two functions lineD1CCinTb and lineD2CCinTb which are of class `"T...
The indicator for the presence of an arc from a point to another for A...
The indicator for the presence of an arc from a point in set S to th...
The indicator for the presence of an arc from a point to another for A...
The indicator for the presence of an arc from a point to another for C...
The indicator for the presence of an arc from a point to another for C...
The indicator for the presence of an arc from a point to another for C...
An alternative to the function IarcCStri which yields the indicator ...
The indicator for the presence of an arc from one point to another for...
The indicator for the presence of an arc from a point to another for P...
The indicator for the presence of an arc from a point to another for P...
The indicator for the presence of an arc from a point to another for P...
The indicator for the presence of an arc from a point to another for P...
The indicator for the presence of an arc from a point in set S to th...
The indicator for the presence of an arc from a point in set Sto the...
The indicator for the presence of an arc from a point to another for P...
The indicator for the presence of an arc from a point to another for P...
The indicator for the presence of an arc from one 3D point to another ...
The indicator for the presence of an arc from a point to another for P...
Indicator for an upper bound for the domination number by the exact al...
The indicator for a point being a dominating point for Arc Slice Proxi...
The indicator for a point being a dominating point for Arc Slice Proxi...
The indicator for a point being a dominating point for Central Similar...
The indicator for a point being a dominating point for Central Similar...
The indicator for a point being a dominating point for Central Similar...
The indicator for a point being a dominating point for Central Similar...
The indicator for a point being a dominating point or not for Proporti...
The indicator for a point being a dominating point for Proportional Ed...
The indicator for a 3D point being a dominating point for Proportional...
The indicator for a 3D point being a dominating point for Proportional...
The indicator for a point being a dominating point for Proportional Ed...
The indicator for two points being a dominating set for Arc Slice Prox...
The indicator for two points constituting a dominating set for Arc Sli...
The indicator for two points constituting a dominating set for Central...
The indicator for two points being a dominating set for Proportional E...
Check whether all points in a data set are inside the triangle
Check whether a point is inside a triangle
Incidence matrix for Arc Slice Proximity Catch Digraphs (AS-PCDs) - mu...
Incidence matrix for Arc Slice Proximity Catch Digraphs (AS-PCDs) - on...
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-P...
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-P...
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-P...
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-P...
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-P...
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PC...
Incidence matrix for Proportional-Edge Proximity Catch Digraphs (PE-PC...
Incidence matrix for Proportional-Edge Proximity Catch Digraphs (PE-PC...
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PC...
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PC...
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PC...
Region index inside the Gamma-1 region
The points of intersection of a line and a circle
The point of intersection of a line and a plane
The point of intersection of two lines defined by two pairs of points
Indices of the intervals where the 1D point(s) reside
Check a point belong to a given data set
Check the argument is a point of a given dimension
Check whether a triangle is a standard equilateral triangle
The k furthest points from vertices in each -vertex region in a ...
The k furthest points in a data set from vertices in each -verte...
The line joining two distinct 2D points a and b
The line crossing 3D point pin the direction of vector v (or if ...
The vertices of the Arc Slice (AS) Proximity Region in the standard ba...
The vertices of the Arc Slice (AS) Proximity Region in a general trian...
The end points of the Central Similarity (CS) Proximity Region for a p...
The vertices of the Central Similarity (CS) Proximity Region in a gene...
The vertices of the Proportional Edge (PE) Proximity Region in a stand...
The end points of the Proportional Edge (PE) Proximity Region for a po...
The vertices of the Proportional Edge (PE) Proximity Region in the sta...
The vertices of the Proportional Edge (PE) Proximity Region in a tetra...
The vertices of the Proportional Edge (PE) Proximity Region in a gener...
Number of arcs of Arc Slice Proximity Catch Digraphs (AS-PCDs) and rel...
Number of arcs of Arc Slice Proximity Catch Digraphs (AS-PCDs) and qua...
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs...
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs...
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs...
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs...
Number of Arcs of of Central Similarity Proximity Catch Digraphs (CS-P...
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs...
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs...
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs)...
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs)...
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs)...
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs)...
Number of Arcs for Proportional Edge Proximity Catch Digraphs (PE-PCDs...
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs)...
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs)...
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs)...
Number of Delaunay triangles based on a 2D data set
The line at a point p parallel to the line segment joining two disti...
The line crossing the 3D point pand parallel to line joining 3D poin...
The plane at a point and parallel to the plane spanned by three distin...
pcds: A package for Proximity Catch Digraphs and Their Applications
The asymptotic probability of domination number for Proportional...
Asymptotic probability that domination number of Proportional Edge Pro...
A test of uniformity of 1D data in a given interval based on Proportio...
A test of segregation/association based on arc density of Proportional...
A test of segregation/association based on arc density of Proportional...
Arc density of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - ...
Arc density of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - ...
A test of segregation/association based on domination number of Propor...
A test of segregation/association based on domination number of Propor...
A test of uniformity for 1D data based on domination number of Proport...
The domination number of Proportional Edge Proximity Catch Digraph (PE...
A test of segregation/association based on domination number of Propor...
The domination number of Proportional Edge Proximity Catch Digraph (PE...
The domination number of Proportional Edge Proximity Catch Digraph (PE...
The domination number of Proportional Edge Proximity Catch Digraph (PE...
The domination number of Proportional Edge Proximity Catch Digraph (PE...
The domination number of Proportional Edge Proximity Catch Digraph (PE...
The line passing through a point and perpendicular to the line segment...
The line crossing the 3D point pand perpendicular to the plane spann...
The plane passing through three distinct 3D points a, b, and c
Plot an Extrema object
Plot a Lines object
Plot a Lines3D object
Plot a NumArcs object
Plot a Patterns object
Plot a PCDs object
Plot a Planes object
Plot a TriLines object
Plot a Uniform object
The plot of the arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for...
The plot of the arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for...
The plot of the Arc Slice (AS) Proximity Regions for a 2D data set - m...
The plot of the Arc Slice (AS) Proximity Regions for a 2D data set - o...
The plot of the arcs of Central Similarity Proximity Catch Digraphs (C...
The plot of the arcs of Central Similarity Proximity Catch Digraph (CS...
The plot of the arcs of Central Similarity Proximity Catch Digraph (CS...
The plot of the arcs of Central Similarity Proximity Catch Digraphs (C...
The scatterplot of points from one class and plot of the Delaunay tria...
The plot of the subintervals based on Yp points together with Xp p...
The plot of the arcs of Proportional Edge Proximity Catch Digraphs (PE...
The plot of the arcs of Proportional Edge Proximity Catch Digraph (PE-...
The plot of the arcs of Proportional Edge Proximity Catch Digraph (PE-...
The plot of the arcs of Proportional Edge Proximity Catch Digraphs (PE...
The plot of the Proportional Edge (PE) Proximity Regions for a general...
The plot of the Proportional Edge (PE) Proximity Regions for a 2D data...
The plot of the Proportional Edge (PE) Proximity Regions for a 3D data...
The plot of the Proportional Edge (PE) Proximity Regions for a 3D data...
The plot of the Proportional Edge (PE) Proximity Regions for a 2D data...
The plot of the Proportional Edge (PE) Proximity Regions (vertices jit...
Print a Extrema object
Print a Lines object
Print a Lines3D object
Print a NumArcs object
Print a Patterns object
Print a PCDs object
Print a Planes object
Print a summary of a Extrema object
Print a summary of a Lines object
Print a summary of a Lines3D object
Print a summary of a NumArcs object
Print a summary of a Patterns object
Print a summary of a PCDs object
Print a summary of a Planes object
Print a summary of a TriLines object
Print a summary of a Uniform object
Print a TriLines object
Print a Uniform object
Projections of a point inside the standard basic triangle form to its ...
Projections of a point inside a triangle to its edges
Projections of Centers for non-degenerate asymptotic distribution of d...
The radii of points from one class with respect to points from the oth...
The radius of a point from one class with respect to points from the o...
Generation of points associated (in a radial or circular fashion) with...
Generation of points associated (in a Matern-like fashion) to a given ...
Generation of points associated (in a Type I fashion) with a given set...
Generation of points associated (in a Type I fashion) with the vertice...
Generation of points associated (in a Type I fashion) with the vertice...
Generation of points associated (in a Type II fashion) with the edges ...
The index of the edge region in a standard basic triangle form that co...
The index of the -edge region in a standard basic triangle form th...
The index of the edge region in the standard equilateral triangle that...
The index of the edge region in a triangle that contains the point
The index of the -edge region in a triangle that contains the poin...
The indices of the M-edge regions in a triangle that contains the po...
The indices of the -edge regions in a triangle that contains the p...
The index of the vertex region in a standard basic triangle form that ...
The index of the -vertex region in a standard basic triangle form ...
The index of the -vertex region in a standard basic triangle form ...
The index of the vertex region in an end-interval that contains a give...
The index of the vertex region in a middle interval that contains a gi...
The index of the vertex region in the standard equilateral triangle th...
The index of the -vertex region in the standard equilateral triang...
The index of the -vertex region in a tetrahedron that contains a p...
The index of the -vertex region in a tetrahedron that contains a p...
The index of the vertex region in a triangle that contains a given poi...
The index of the -vertex region in a triangle that contains a poin...
The index of the -vertex region in a triangle that contains a give...
The indices of the vertex regions in a triangle that contains the poin...
The indices of the vertex regions in a triangle that contains the poin...
The indices of the -vertex regions in a triangle that contains the...
The indices of the -vertex regions in a triangle that contains the...
The alternative function for the indices of the M-vertex regions in a ...
Generation of points segregated (in a radial or circular fashion) from...
Generation of points segregated (in a Type I fashion) from a given set...
Generation of points segregated (in a Type I fashion) from the vertice...
Generation of points segregated (in a Type I fashion) from the vertice...
Generation of points segregated (in a Type II fashion) from the vertic...
Generation of Uniform Points in the standard basic triangle
Generation of Uniform Points in the Convex Hull of Points
Generation of Uniform Points in the Standard Regular Tetrahedron
Generation of Uniform Points in the first one-sixth of standard equila...
Generation of Uniform Points in the Standard Equilateral Triangle
Generation of Uniform Points in a tetrahedron
Generation of Uniform Points in a Triangle
The auxiliary triangle to define the support of type I segregation
The closest points among a data set in the standard equilateral triang...
The slope of a line
Return a summary of a Extrema object
Return a summary of a Lines object
Return a summary of a Lines3D object
Return a summary of a NumArcs object
Return a summary of a Patterns object
Return a summary of a PCDs object
Return a summary of a Planes object
Return a summary of a TriLines object
Return a summary of a Uniform object
Converting a triangle to the standard basic triangle form form
Points from one class inside the convex hull of the points from the ot...
Contains the functions for construction and visualization of various families of the proximity catch digraphs (PCDs), see (Ceyhan (2005) ISBN:978-3-639-19063-2), for computing the graph invariants for testing the patterns of segregation and association against complete spatial randomness (CSR) or uniformity in one, two and three dimensional cases. The package also has tools for generating points from these spatial patterns. The graph invariants used in testing spatial point data are the domination number (Ceyhan (2011) <doi:10.1080/03610921003597211>) and arc density (Ceyhan et al. (2006) <doi:10.1016/j.csda.2005.03.002>; Ceyhan et al. (2007) <doi:10.1002/cjs.5550350106>). The PCD families considered are Arc-Slice PCDs, Proportional-Edge PCDs, and Central Similarity PCDs.