C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles

Chua, Hua Siong (2017) C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles. Masters thesis, Universiti Sains Malaysia.

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Abstract

The construction of positivity bivariate 1 C interpolants to scattered data using rational cubic Bézier triangular patches is considered. The interpolating surface is formed piecewise as a convex combination of three rational cubic Bézier triangles. Sufficient 1 C continuity conditions along the common boundary of two adjacent rational cubic Bézier triangles are shown. The sufficient positivity conditions on rational cubic Bézier triangle are derived. The initial values of the Bézier ordinates are determined by the data and the estimated gradient at the data sites while the weights are given the value one.

Item Type: Thesis (Masters)
Subjects: Q Science > QA Mathematics > QA1-939 Mathematics
Divisions: Pusat Pengajian Sains Matematik (School of Mathematical Sciences) > Thesis
Depositing User: ASM Ab Shukor Mustapa
Date Deposited: 10 Sep 2019 07:33
Last Modified: 10 Sep 2019 07:33
URI: http://eprints.usm.my/id/eprint/45370

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