Smooth Analysis-Suitable Parameterization Based on a Weighted and Modified Liao Functional

Analysis-suitable parameterization is a fundamental problem in IGA (IsoGeometric Analysis) implementation which significantly influences computational accuracy and efficiency. This paper proposes a variational framework to address the problem of producing a smooth parameterization of a computational domain represented in B-spline form. In order to control both angle and area distortions, a weighted and modified Liao functional is constructed....