2024
DOI: 10.1371/journal.pone.0299892
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Exploring q-Bernstein-Bézier surfaces in Minkowski space: Analysis, modeling, and applications

Sadia Bashir,
Daud Ahmad,
Ghada Ali

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 resp… Show more

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