Title
Generalized barycentric coordinates on irregular polygons
Abstract
In this paper we present an easy computation of a generalized form of barycentric coordinates for irregular, convex n-sided polygons. Triangular barycentric coordinates have had many classical applications in computer graphics, from texture mapping to ray tracing. Our new equations preserve many of the familiar properties of the triangular barycentric coordinates with an equally simple calculation, contrary to previous formulations. We illustrate the properties and behavior of these new generalized barycentric coordinates through several example applications.
Year
DOI
Venue
2002
10.1080/10867651.2002.10487551
J. Graphics, GPU, & Game Tools
Keywords
Field
DocType
new generalized barycentric,easy computation,convex n-sided polygon,new equation,classical application,example application,familiar property,irregular polygon,generalized form,computer graphics,triangular barycentric,generalized barycentric,ray tracing,computer graphic,texture mapping
Texture mapping,Combinatorics,Polygon,Log-polar coordinates,Computer science,Pure mathematics,Regular polygon,Theoretical computer science,Trilinear coordinates,Generalized coordinates,Barycentric coordinate system,Computation
Journal
Volume
Issue
Citations 
7
1
91
PageRank 
References 
Authors
9.40
11
4
Name
Order
Citations
PageRank
Raif M. Rustamov125119.58
Alan Barr2919.40
Haeyoung Lee330026.24
Mathieu Desbrun45398311.44