Generalized Barycentric Coordinates on Irregular Polygons
2002; Taylor & Francis; Volume: 7; Issue: 1 Linguagem: Inglês
10.1080/10867651.2002.10487551
ISSN1086-7651
AutoresMark Meyer, Alan H. Barr, Haeyoung Lee, Mathieu Desbrun,
Tópico(s)Computational Geometry and Mesh Generation
ResumoAbstract 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 propert ies and behavior of these new generalized barycentric coordinates through several example applications.
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