Convexity-preserving scattered data interpolation

• Main Authors: Mt Piah, Abd Rahni, Saaban, Azizan, Abd Majid, Ahmad
• Format: Article
• Language: English
• Published: Jabatan Matematik Universiti Teknologi Malaysia 2008
• Subjects: QA Mathematics
• Online Access: http://repo.uum.edu.my/4330/1/Ab_c.pdf; http://repo.uum.edu.my/4330/; http://www.fs.utm.my/matematika/
• Institution: Universiti Utara Malaysia

This study deals with constructing a convexity-preserving bivariate C1 interpolants to scattered data whenever the original data are convex. Sufficient conditions on lower bound of Bezier points are derived in order to ensure that surfaces comprising cubic Bezier triangular patches are always convex...