Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Lizheng Lu"'
Publikováno v:
Journal of Computer-Aided Design & Computer Graphics. 34:18-24
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c17ee947ffe68425d045425be62856c8
https://doi.org/10.3724/sp.j.1089.2022.18826
https://doi.org/10.3724/sp.j.1089.2022.18826
Autor:
Shiqing Zhao, Lizheng Lu
Publikováno v:
Journal of Computational and Applied Mathematics. 345:286-294
Determining a sequence of points from parametric curves is essential for the construction of least-squares B-spline fitting curves in geometric modeling and related applications. Uniform sampling methods always determine points uniformly in arc lengt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c97b5a85d5686a37f5e187488953b18a
https://doi.org/10.1016/j.cam.2018.04.008
https://doi.org/10.1016/j.cam.2018.04.008
Autor:
Lizheng Lu, Lin Li
Publikováno v:
Journal of Computational and Applied Mathematics. 408:114102
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6897c29a7619a7eda9e0d6e4803fb53f
https://doi.org/10.1016/j.cam.2022.114102
https://doi.org/10.1016/j.cam.2022.114102
Publikováno v:
Computer Aided Geometric Design. 61:20-26
In 2009, Zhou and Wang (2009) proposed an explicit method for unconstrained and constrained multi-degree reduction of tensor product Bezier surfaces using Jacobi polynomials. For the unconstrained case, this method achieves the optimal result with re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b5eff0c3aa4846d41f0c1cf96a3c8237
https://doi.org/10.1016/j.cagd.2018.01.003
https://doi.org/10.1016/j.cagd.2018.01.003
Publikováno v:
Computers & Graphics. 70:92-98
Given two data points and the associated unit tangents, cubic G 1 Hermite interpolation is a simple and efficient scheme to construct fair curves by optimizing certain energy functionals. In order to obtain shape-preserving interpolation desired for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3a76d537200bd4b3424438adc2262db8
https://doi.org/10.1016/j.cag.2017.07.007
https://doi.org/10.1016/j.cag.2017.07.007
Autor:
Xueyan Xiang, Lizheng Lu
Publikováno v:
Journal of Computational and Applied Mathematics. 315:65-69
Recently, Bhrawy etźal. (2016) proposed a novel method for C b - 1 , a - 1 -constrained degree reduction of Bezier curves by using the basis transformations between the modified Jacobi polynomials (MJPs) and Bernstein polynomials. In this note, we p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::347e2d650b1a0ac513b1119a50cf8a2a
https://doi.org/10.1016/j.cam.2016.11.001
https://doi.org/10.1016/j.cam.2016.11.001
Publikováno v:
Journal of Computational and Applied Mathematics. 313:393-396
Recently, Han et al. (2016) introduced weighted Lupas q -Bezier curves as a novel generalization of the classical rational Bezier curves. In this note, we make some remarks on their article. In particular, we revisit the rational quadratic case for a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::111c1ef2f200ba290aff1e8e0273df9c
https://doi.org/10.1016/j.cam.2016.09.044
https://doi.org/10.1016/j.cam.2016.09.044
Autor:
Chengkai Jiang, Lizheng Lu
Publikováno v:
Journal of Computational and Applied Mathematics. 296:352-361
This paper presents an iterative algorithm for G 2 multiwise merging of Bezier curves. By using the G 2 constraint, the L 2 distance is represented after simplification as a quartic polynomial in two parameters relating to the magnitudes of end tange
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6710c8a73abce8aedcdfb0884d01727
https://doi.org/10.1016/j.cam.2015.10.007
https://doi.org/10.1016/j.cam.2015.10.007
Autor:
Xueyan Xiang, Lizheng Lu
Publikováno v:
Journal of Computational and Applied Mathematics. 296:389-396
Log-aesthetic curves (LACs), possessing monotone curvature and including many classical curves, have been widely used to describe fair shapes in geometric modeling. However, they are generally represented in non-polynomial form and are thus not compa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::03e42901470bb15e96581c5cb912a66c
https://doi.org/10.1016/j.cam.2015.10.002
https://doi.org/10.1016/j.cam.2015.10.002
Autor:
Lizheng Lu
Publikováno v:
Applied Mathematics and Computation. 259:596-599
In the paper 1], Jaklic and ?agar studied curvature variation minimizing cubic Hermite interpolants. To match planar two-point G 1 Hermite data, they obtained the optimal cubic curve by minimizing an approximate form of the curvature variation energy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::523d8d01dc4a5142c2acfb2a77dce32c
https://doi.org/10.1016/j.amc.2014.11.113
https://doi.org/10.1016/j.amc.2014.11.113