A5005983152- Computational Geometry and Mesh Generation
- Advanced Numerical Analysis Techniques
- Polynomial and algebraic computation
- Algebraic structures and combinatorial models
- Advanced Topics in Algebra
- Advanced Algebra and Geometry
- 3D Shape Modeling and Analysis
Abstract Motivated by the recent work of Zhi-Wei Sun [‘Problems and results on determinants involving Legendre symbols’, Preprint, arXiv:2405.03626], we study some matrices concerning subgroups finite fields. For example, let $q\equiv 3\pmod 4$ be an odd prime power $\phi $ unique quadratic multiplicative character field $\mathbb {F}_q$ . If set $\{s_1,\ldots ,s_{(q-1)/2}\}=\{x^2:\ x\in \mathbb {F}_q\setminus \{0\}\}$ , then prove that $$...
A set of control points can determine a Bezier surface and triangulated simultaneously. We prove that the becomes homeomorphic ambient isotopic to via subdivision. also show total Gaussian curvature converges surface.
We prove that the control polygon of a Bezier curve B becomes homeomorphic and ambient isotopic to via subdivision, we provide closed-form formulas compute number iterations ensure these topological characteristics. first show exterior angles polygons converge exponentially zero under subdivision.