Range restricted positivity-preserving scattered data interpolation

• DOI: 10.11113/mjfas.v2n1-2.16
• Publication Date: 2017-10-15T05:01:57Z
• Authors: Abd. Rahni Mt. Piah; Azizan Saaban; Ahmad Abd. Majid
• Keywords: Interpolation; Degree (music)

The construction of a range restricted bivariate C1 ( or G1 ) interpolant to scattered data is considered in which the positive everywhere if original are positive. This study motivated by earlier work sufficient conditions derived on Bézier points order ensure that surfaces comprising cubic triangular patches always and satisfy continuity conditions. In current work, simpler more relaxed points. gradients at sites then calculated (and modified necessary) these satisfied. Each patch interpolating surface formed as convex combination three quartic patches. Its local easily extended include upper lower constraints form z = P(x,y) where P polynomial degree less equal 4. Moreover, piecewise consisting pieces triangulation also admissible constraints. A number examples presented.