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Convexity-preserving Bernstein–Be´ zier quartic scheme

By Maria Hussain, Ahmad Abd Majid and Malik Zawwar Hussain

Abstract

A C1 convex surface data interpolation scheme is presented to preserve the shape of scattered data arranged over a triangular grid. Bernstein–Be´ zier quartic function is used for interpolation. Lower bound of the boundary and inner Be´zier ordinates is determined to guarantee convexity of surface. The developed scheme is flexible and involves more relaxed constraints

Topics: QA1-939 Mathematics
Publisher: 'Elsevier BV'
Year: 2014
DOI identifier: 10.1016/j.eij.2014.04.001
OAI identifier: oai:generic.eprints.org:38531/core423
Provided by: Repository@USM

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