Improved bounds on partial derivatives of rational triangular Bézier surfaces

✍ Scribed by Qian-Qian Hu; Guo-Jin Wang

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 259 KB
• Volume: 39
• Category: Article
• ISSN: 0010-4485
• DOI: 10.1016/j.cad.2007.08.004

✦ Synopsis

This paper applies inequality skill, degree elevation of triangular Bézier surfaces and difference operators to deduce the bounds on first and second partial derivatives of rational triangular Bézier surfaces. Further more, we prove that the new bounds are tighter and more effective than the known ones. All the results are obviously helpful for further optimization of geometric design systems.