1. Geometric analysis of non-degenerate shifted-knots Bézier surfaces in Minkowski space.
- Author
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Bashir, Sadia and Ahmad, Daud
- Subjects
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MINKOWSKI space , *GEOMETRIC analysis , *COMPUTER graphics , *MICROSOFT Surface (Computer) , *KNOT theory , *COMPUTER engineering - Abstract
In this paper, we investigate the properties of timelike and spacelike shifted-knots Bézier surfaces in Minkowski space- E13. These surfaces are commonly used in mathematical models for surface formation in computer science for computer-aided geometric design and computer graphics, as well as in other fields of mathematics. Our objective is to analyze the characteristics of timelike and spacelike shifted-knots Bézier surfaces in Minkowski space- E13. To achieve this, we compute the fundamental coefficients of shifted-knots Bézier surfaces, including the Gauss-curvature, mean-curvature, and shape-operator of the surface. Furthermore, we present numerical examples of timelike and spacelike bi-quadratic (m = n = 2) and bi-cubic (m = n = 3) shifted-knots Bézier surfaces in Minkowski space- E13 to demonstrate the applicability of the technique in Minkowski space. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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