Open Access
ARTICLE
Parameterization Transfer for a Planar Computational Domain in Isogeometric Analysis
Jinlan Xu*, Shuxin Xiao, Gang Xu, Renshu Gu
School of Computer Science and Technology, Hangzhou Dianzi University, Hangzhou, 310018, China
* Corresponding Author: Jinlan Xu. Email:
(This article belongs to the Special Issue: Integration of Geometric Modeling and Numerical Simulation)
Computer Modeling in Engineering & Sciences 2023, 137(2), 1957-1973. https://doi.org/10.32604/cmes.2023.028665
Received 31 December 2022; Accepted 15 February 2023; Issue published 26 June 2023
Abstract
In this paper, we propose a parameterization transfer algorithm for planar domains bounded by B-spline curves,
where the shapes of the planar domains are similar. The domain geometries are considered to be similar if their
simplified skeletons have the same structures. One domain we call source domain, and it is parameterized using
multi-patch B-spline surfaces. The resulting parameterization is C1 continuous in the regular region and G1
continuous around singular points regardless of whether the parameterization of the source domain is C1/G1
continuous or not. In this algorithm, boundary control points of the source domain are extracted from its
parameterization as sequential points, and we establish a correspondence between sequential boundary control
points of the source domain and the target boundary through discrete sampling and fitting. Transfer of the
parametrization satisfies C1/G1 continuity under discrete harmonic mapping with continuous constraints. The
new algorithm has a lower calculation cost than a decomposition-based parameterization with a high-quality
parameterization result. We demonstrate that the result of the parameterization transfer in this paper can be applied
in isogeometric analysis. Moreover, because of the consistency of the parameterization for the two models, this
method can be applied in many other geometry processing algorithms, such as morphing and deformation.
Keywords
Cite This Article
APA Style
Xu, J., Xiao, S., Xu, G., Gu, R. (2023). Parameterization transfer for a planar computational domain in isogeometric analysis. Computer Modeling in Engineering & Sciences, 137(2), 1957-1973. https://doi.org/10.32604/cmes.2023.028665
Vancouver Style
Xu J, Xiao S, Xu G, Gu R. Parameterization transfer for a planar computational domain in isogeometric analysis. Comput Model Eng Sci. 2023;137(2):1957-1973 https://doi.org/10.32604/cmes.2023.028665
IEEE Style
J. Xu, S. Xiao, G. Xu, and R. Gu "Parameterization Transfer for a Planar Computational Domain in Isogeometric Analysis," Comput. Model. Eng. Sci., vol. 137, no. 2, pp. 1957-1973. 2023. https://doi.org/10.32604/cmes.2023.028665