Abstract | ||
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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 |
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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. Rustamov | 1 | 251 | 19.58 |
Alan Barr | 2 | 91 | 9.40 |
Haeyoung Lee | 3 | 300 | 26.24 |
Mathieu Desbrun | 4 | 5398 | 311.44 |