A Multi-sided Bézier Patch with a Simple Control Structure

• Published in: Computer graphics forum Vol. 35; no. 2; pp. 307 - 317
• Main Authors: Várady, Tamás, Salvi, Péter, Karikó, György
• Format: Journal Article
• Language: English
• Published: Oxford Blackwell Publishing Ltd 01.05.2016
• Subjects: Algorithms; Analysis; and object representations; Bezier; Bezier patches; Boundaries; Categories and Subject Descriptors (according to ACM CCS); Displacement; I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Curve; I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Curve, surface, solid, and object representations; Image processing systems; Mathematical analysis; Mathematical models; Representations; solid; Studies; surface; Topological manifolds

A new n‐sided surface scheme is presented, that generalizes tensor product Bézier patches. Boundaries and corresponding cross‐derivatives are specified as conventional Bézier surfaces of arbitrary degrees. The surface is defined over a convex polygonal domain; local coordinates are computed from gen...