Exploring q-Bernstein-Bézier surfaces in Minkowski space: Analysis, modeling, and applications

Sadia Bashir, Daud Ahmad and Ghada Ali

PLOS ONE, 2024, vol. 19, issue 5, 1-26

Abstract: In this paper, we examine q-Bernstein-Bézier surfaces in Minkowski space-R 1 3 with q as the shape parameter. These surfaces, a generalization of Bézier surfaces, have applications in mathematics, computer-aided geometric design, and computer graphics for the surface formation and modeling. We analyze the timelike and spacelike cases of q-Bernstein-Bézier surfaces using known boundary control points. The mean curvature and Gaussian curvature of these q-Bernstein-Bézier surfaces are computed by finding the respective fundamental coefficients. We also investigate the shape operator dependency for timelike and spacelike q-Bernstein-Bézier surfaces in Minkowski space-R 1 3, and provide biquadratic and bicubic q-Bernstein-Bézier surfaces as illustrative examples for different values of the shape controlling parameter q.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0299892

DOI: 10.1371/journal.pone.0299892

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