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

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

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 …

While hexahedral mesh elements are preferred by a variety of simulation techniques,
constructing quality all‐hex meshes of general shapes remains a challenge. An attractive …

PolyCubes, or orthogonal polyhedra, are useful as parameterization base-complexes for
various operations in computer graphics. However, computing quality PolyCube base …

In isogeometric analysis, parameterization of computational domain has great effects as
mesh generation in finite element analysis. In this paper, based on the concept of harmonic …

Volumetric spline parameterization and computational efficiency are two main challenges in
isogeometric analysis (IGA). To tackle this problem, we propose a framework of computation …

This paper presents a method for bijective parametrization of 2D and 3D objects over
canonical domains. While a range of solutions for the two-dimensional case are well-known …

High-quality volumetric parameterization of computational domain plays an important role in
three-dimensional isogeometric analysis. Reparameterization technique can improve the …

This paper develops a novel volumetric parameterization and spline construction framework,
which is an effective modeling tool for converting surface meshes to volumetric splines. Our …