Properties of the Differentiation Matrices of the Bezier Curves and Surfaces

Rababah, Abedallah; Almobaiyed, Lamyaa; Ibrahim, Eman; Kassar, Amira

doi:10.2139/ssrn.3569459

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Properties of the Differentiation Matrices of the Bezier Curves and Surfaces

11 Pages Posted: 30 Apr 2020

See all articles by Abedallah Rababah

Abedallah Rababah

UAEU; United Arab Emirates University (UAEU) - College of Science; United Arab Emirates University (UAEU) - College of Science; United Arab Emirates University (UAEU) - College of Science

Amira Kassar

affiliation not provided to SSRN

Date Written: April 6, 2020

Abstract

In this paper, the differentiation matrices of the Bezier Curves introduced in [6] are studied and more properties and examples are given. Our aim is also to introduce the differentiation matrices of the Bezier surfaces and study their properties. It is anticipated that the differentiation matrices of the Bezier curves and surfaces simplify the calculations and enable us to write many related formulas and equations of essential operations in explicit and simple forms, and numerical demonstrations be presented.

Keywords: Bezier curves; Bezier surfaces; Bernstein polynomials; derivative evaluation

JEL Classification: C61

Suggested Citation: Suggested Citation

Rababah, Abedallah and Almobaiyed, Lamyaa and Ibrahim, Eman and Kassar, Amira, Properties of the Differentiation Matrices of the Bezier Curves and Surfaces (April 6, 2020). Available at SSRN: https://ssrn.com/abstract=3569459 or http://dx.doi.org/10.2139/ssrn.3569459