Exploring q-Bernstein-Bézier surfaces in Minkowski space: Analysis, modeling, and applications.
PLoS One
; 19(5): e0299892, 2024.
Article
em En
| MEDLINE
| ID: mdl-38814899
ABSTRACT
In this paper, we examine q-Bernstein-Bézier surfaces in Minkowski space-[Formula see text] 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-[Formula see text], and provide biquadratic and bicubic q-Bernstein-Bézier surfaces as illustrative examples for different values of the shape controlling parameter q.
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Base de dados:
MEDLINE
Assunto principal:
Modelos Teóricos
Idioma:
En
Ano de publicação:
2024
Tipo de documento:
Article