Zobrazeno 1 - 10
of 403
pro vyhledávání: '"Farouki, Rida"'
By interpreting planar polynomial curves as complex-valued functions of a real parameter, an inner product, norm, metric function, and the notion of orthogonality may be defined for such curves. This approach is applied to the complex pre-image polyn
Externí odkaz:
http://arxiv.org/abs/2402.09850
Publikováno v:
In Journal of Computational and Applied Mathematics 15 March 2025 457
Publikováno v:
In Journal of Computational and Applied Mathematics 1 March 2025 456
Autor:
Farouki, Rida T.
Publikováno v:
In Computer Aided Geometric Design October 2023 106
Publikováno v:
Adv. Comput. Math., 45(3):1607--1629 (2019)
The Minkowski product of unit quaternion sets is introduced and analyzed, motivated by the desire to characterize the overall variation of compounded spatial rotations that result from individual rotations subject to known uncertainties in their rota
Externí odkaz:
http://arxiv.org/abs/1901.07349
Publikováno v:
In Computer Aided Geometric Design June 2023 103
Publikováno v:
In Applied Mathematics and Computation 15 December 2022 435
Autor:
Farouki, Rida T.
Publikováno v:
In Computer-Aided Design August 2022 149
Publikováno v:
In Computer Aided Geometric Design November 2021 91
Autor:
Farouki, Rida T., Gentili, Graziano, Giannelli, Carlotta, Sestini, Alessandra, Stoppato, Caterina
Publikováno v:
Adv. Comput. Math., 43(1):1--24 (2017)
A rotation-minimizing frame $({\bf f}_1,{\bf f}_2,{\bf f}_3)$ on a space curve ${\bf r}(\xi)$ defines an orthonormal basis for $\mathbb{R}^3$ in which ${\bf f}_1={\bf r}'/|{\bf r}'|$ is the curve tangent, and the normal-plane vectors ${\bf f}_2$, ${\
Externí odkaz:
http://arxiv.org/abs/1604.07008