@Article{cmes.2023.028665,
AUTHOR = {Jinlan Xu, Shuxin Xiao, Gang Xu, Renshu Gu},
TITLE = {Parameterization Transfer for a Planar Computational Domain in Isogeometric Analysis},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {137},
YEAR = {2023},
NUMBER = {2},
PAGES = {1957--1973},
URL = {http://www.techscience.com/CMES/v137n2/53357},
ISSN = {1526-1506},
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.},
DOI = {10.32604/cmes.2023.028665}
}