JAMC

Article http://dx.doi.org/10.26855/jamc.2023.06.011

Design of Biquintic B-spline Surface Construction Algorithm

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Shuhui Zhang*, Xiuping Liu

School of Mathematical Sciences, Dalian University of Technology, Dalian, ‎Liaoning, China.

*Corresponding author: Shuhui Zhang

Published: July 31,2023

Abstract

The tensor product Be ́zier patch and B-spline patch are two of the most popular and widely used parametric surface representations. B-spline surfaces play an important role in the CAD/CAM/CAE. The tensor product B-spline surfaces provide continuity without the imposition of constraints in surface fitting process. This work concentrates on the basic concept, properties of B-spline surfaces. Firstly, we introduce the B-spline basis function and its properties and its calculation algorithm. In addition, B-spline curves and B-spline surfaces are meticulously studied, especially biquintic B-spline surface, and then we present the algorithm of generating biquintic B-spline surface. Finally, based on the algorithm of generating biquintic B-spline surface we proposed, a biquintic B-spline surfaces is generated based on MATLAB, and the running result is given. Besides, we analyze the results of the operation and come to a conclusion: biquintic B-spline surfaces generally don’t pass through any vertices of the control mesh (also called convex hull).

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How to cite this paper

Design of Biquintic B-spline Surface Construction Algorithm

How to cite this paper: Shuhui Zhang, Xiuping Liu. (2023) Design of Biquintic B-spline Surface Construction Algorithm. Journal of Applied Mathematics and Computation7(2), 298-303.

DOI: http://dx.doi.org/10.26855/jamc.2023.06.011