C1 Positivity Constrained Interpolation By Weighted Rational Cubic Triangles

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dc.contributor.authorChua, Hua Siong
dc.date.accessioned2019-08-07T01:28:07Z
dc.date.available2019-08-07T01:28:07Z
dc.date.issued2017-02
dc.description.abstractThe 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. The boundary Bézier ordinates and the weights are modified if necessary so that the resulting patch satisfies the 1 C continuity and positivity conditions. The scheme for constructing 1 C non-negativity preserving interpolant is local. Several numerical examples are illustrated.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/8583
dc.language.isoenen_US
dc.publisherUniversiti Sains Malaysiaen_US
dc.subjectC1 positivity constrained interpolation byen_US
dc.subjectweighted rational cubic trianglesen_US
dc.titleC1 Positivity Constrained Interpolation By Weighted Rational Cubic Trianglesen_US
dc.typeThesisen_US
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