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On the conversion of rational triangular Bézier surfaces and multi-sided patches

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Title: On the conversion of rational triangular Bézier surfaces and multi-sided patches

Authors: Germain E. Randriambelosoa, Malik Zawwar Hussain

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2005

Volume: 1

Issue: 1

Language: English

Categories
Geometry (91) Computer Aided Design (7) Rational Surfaces (1) Bézier Surfaces (1) Mathematics (5170)

Abstract

By a convenient parameter change we give a necessary and sufficient condition for the conversion of a degree rational triangular Bézier surfaces to a degree rectangular surface whose one of the four edges is reduced to a single multiple point. Using then the method of base point we obtain the explicit expression of multi-sided patches in Bézier form.

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