Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 496
Spherical barycentric coordinates
Abdellatif Aitelhad
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 03, 2022
March 03, 2407
April 15, 2407

Abstract: The spherical barycentric coordinates are another variant of barycentric coordinates that express a point x inside an arbitrary spherical polygon P as a positive linear combination of P 's vertices. In addition, we use the contour lines plot of the resulting coordinates to provide a direct comparaison between the classical and the new coordinates. Furthermore, we follow the same procedure as in [8] to develop the 3D mean value coordinates for arbitrary polygonal meshes using the previously constructed spherical barycentric coordinates and this allows us to express the 2D barycentric ...