Performance of the triangulation-based methods Of positivity-preserving scattered data interpolation

• Main Authors: Saaban, Azizan, Mt Piah, Abd Rahni, Abd Majid, Ahmad
• Format: Article
• Language: English
• Published: Pushpa Publishing House 2011
• Subjects: QA Mathematics
• Online Access: http://repo.uum.edu.my/12539/1/WP01.pdf; http://repo.uum.edu.my/12539/; http://www.pphmj.com/journals/fjms.htm
• Institution: Universiti Utara Malaysia

We present the result and accuracy comparison of generalized positivity-preserving schemes for triangular Bézier patches of 1C and 2C scattered data interpolants that have been c on structed. We compare three methods of 1C schemes using cubic triangular Bézier patches and one 2C scheme using quintic triangular Bézier patches.Our test case consists of four sets of node/test function pairs, with node-count ranging from 26 to 100 data points. The absolute maximum and mean errors are computed using 33×33 evaluation points on a uniform rectangular grid.