Degree reduction of Bézier curves and filter banks

✍ Scribed by H.O. Kim; J.H. Kim; S.Y. Moon

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 342 KB
• Volume: 31
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(96)00049-1

✦ Synopsis

we consider the degree elevation and reduction of B~zier curves as the filter bank process. The process consists of the synthesis filters and the analysis filters. Using the relationship of basis changes, we find what these filters are and how these filters are related. Explicit forms of each filter are given and the best degree reduced B~zier curves in the L2-norm, LC~-norm, and Ll-norm are obtained easily from the analysis filters.