Improved binary four point subdivision scheme and new corner cutting scheme

✍ Scribed by Shahid S. Siddiqi; Kashif Rehan

• Book ID: 104008792
• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 616 KB
• Volume: 59
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2010.01.034

✦ Synopsis

A binary 4-point approximating subdivision scheme, presented by Siddiqi and Ahmad (2006) [9], has been improved by introducing a global tension parameter. An improved form of the scheme generates a family of C n , n = 1, 2, 3, 4 limiting curves for certain range of global tension parameter and a C 5 limiting curve for a fixed value. Also a new corner cutting subdivision scheme has been proposed which generates a limiting curve of C 1 continuity. The Laurent polynomial method has been used to investigate the order of the derivative continuity of both subdivision schemes. The performance of the subdivision schemes has been exposed by considering examples and compared with the existing schemes.