Genuine multi-sided parametric surface patches – A survey - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

Parameterization of computational domains is a crucial step in isogeometric analysis (IGA).
Non-Uniform Rational B-Spline (NURBS) is a standard tool in the CAD/CAM industry due to …

In isogeometric analysis, constructing bijective and low-distorted parameterizations is a
fundamental task. Compared with the planar problem, the volumetric case is more …

Cubic Bézier curves are widely used in computer graphics and geometric modeling, favored
for their intuitive design and ease of implementation. However, self-intersections within …

Inspired by the r-refinement method in isogeometric analysis, in this paper, the authors
propose a curvature-based r-adaptive isogeometric method for planar multi-sided …

Toric surface patches are a class of multi-sided surface patches that can represent multi-
sided domains without mesh degeneration. In this paper, we propose an improved …

Generalized Bézier surfaces are a multi-sided generalization of classical tensor product
Bézier surfaces with a simple control structure and inherit most of the appealing properties …

Abstract The Geometry-Independent Field approximaTion (GIFT) technique, an extension of
isogeometric analysis (IGA), allows for separate spaces to parameterize the computational …

In order to efficiently and concisely store the information of the volume parametric model, this
paper proposes a wing-surface data structure to support the expression of the volume …

Parameterizations, which map parametric domains into certain domains, are widely used in
computer aided design, computer aided geometric design, computer graphics, isogeometric …