Zobrazeno 1 - 10
of 28
pro vyhledávání: '"ChunGang Zhu"'
Publikováno v:
Electronic Research Archive, Vol 30, Iss 5, Pp 1799-1812 (2022)
Bézier curves and surfaces are important to computer-aided design applications. This paper presents algorithms for checking the injectivity of 2D and 3D Bézier curves. An injective Bézier curve or surface is one that has no self-intersections. The
Externí odkaz:
https://doaj.org/article/6005166366be45beb8c95ad5fc978f80
Publikováno v:
AIMS Mathematics, Vol 6, Iss 11, Pp 11974-11988 (2021)
The one-to-one property of injectivity is a crucial concept in computer-aided design, geometry, and graphics. The injectivity of curves (or surfaces or volumes) means that there is no self-intersection in the curves (or surfaces or volumes) and their
Externí odkaz:
https://doaj.org/article/c6568b6298e44989aa6652c6535f38cf
Autor:
Caiyun Li, Chungang Zhu
Publikováno v:
Mathematics, Vol 8, Iss 3, p 402 (2020)
Developable surface plays an important role in geometric design, architectural design, and manufacturing of material. Bézier curve and surface are the main tools in the modeling of curve and surface. Since polynomial representations can not express
Externí odkaz:
https://doaj.org/article/7204af08a91e42eda9055759456d5cd1
Publikováno v:
Mathematics, Vol 7, Iss 8, p 734 (2019)
Radial basis function-based quasi-interpolation performs efficiently in high-dimensional approximation and its applications, which can attain the approximant and its derivatives directly without solving any large-scale linear system. In this paper, t
Externí odkaz:
https://doaj.org/article/38dae71aba73400f91d4f2e930aacf4c
Autor:
Lanyin Sun, Chungang Zhu
Publikováno v:
Mathematics, Vol 7, Iss 4, p 365 (2019)
The Euler-Lagrange equations are useful for solving optimization problems in mechanics. In this paper, we study the B-spline solutions of the Euler-Lagrange equations associated with the general functionals. The existing conditions of B-spline soluti
Externí odkaz:
https://doaj.org/article/977098d9c94f40ecab2719a86b0f9d86
Publikováno v:
Journal of Systems Science and Complexity. 36:53-76
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e618cd2f91785d741015b7adc99c817
https://doi.org/10.1007/s11424-022-1293-3
https://doi.org/10.1007/s11424-022-1293-3
Publikováno v:
Journal of Computer-Aided Design & Computer Graphics. 34:1362-1371
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ddb0e377365f2094295f899015a94611
https://doi.org/10.3724/sp.j.1089.2022.19177
https://doi.org/10.3724/sp.j.1089.2022.19177
Publikováno v:
Applicable Analysis. :1-20
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5144949d122a53304b1877a1593c47b1
https://doi.org/10.1080/00036811.2021.2016718
https://doi.org/10.1080/00036811.2021.2016718
Publikováno v:
Computational and Applied Mathematics. 41
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3f8dc220adcc3cd10464398e9cf1f75
https://doi.org/10.1007/s40314-022-01941-z
https://doi.org/10.1007/s40314-022-01941-z
Autor:
Hui Wang1 huiwang@mail.dlut.edu.cn, Chungang Zhu1 cgzhu@dlut.edu.cn, Caiyun Li2 caiyun@dlut.edu.cn
Publikováno v:
Journal of Computational Mathematics. 2019, Vol. 37 Issue 5, p721-738. 18p.