With the advance in virtual reality applications, garment industry has strived for new
developments. This paper reviews state-of-the-art CAD methods in 3D garment design. A …

“The authors are the originators of isogeometric analysis, are excellent scientists and good
educators. It is very original. There is no other book on this topic.”—René de Borst …

The emergence of low-cost 3D printers steers the investigation of new geometric problems
that control the quality of the fabricated object. In this paper, we present a method to reduce …

We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for
isogeometric analysis. We review T-splines as a surface design methodology and then …

We review the computation of 3D geometric data map**, which establishes one-to-one
correspondence between or among spatial/spatiotemporal objects. Effective map** …

Despite the success of quad‐based 2D surface parameterization methods, effective
parameterization algorithms for 3D volumes with cubes, ie hexahedral elements, are still …

We present a methodology based on discrete volumetric harmonic functions to parameterize
a volumetric model in a way that it can be used to fit a single trivariate B-spline to data so …

Parameterization of the computational domain is a key step in isogeometric analysis just as
mesh generation is in finite element analysis. In this paper, we study the volume …

This paper describes a novel method to construct solid rational T-splines for complex genus-
zero geometry from boundary surface triangulations. We first build a parametric map** …

Cutting-Edge Techniques to Better Analyze and Predict Complex Physical Phenomena
Geometric Modeling and Mesh Generation from Scanned Images shows how to integrate …