Surface parameterization is of fundamental importance for many tasks in computer vision
and imaging. In recent years, computational quasi-conformal geometry has become an …

The equiareality of NURBS surfaces highly affects their rendering and tessellation results.
To improve the equiareality of NURBS surfaces, an optimization algorithm using freeform …

Conformal surface parameterization is useful in graphics, imaging, and visualization, with
applications to texture mapping, atlas construction, registration, remeshing, and so on. With …

An area-preserving parameterization of a surface is a bijective mapping that maps the
surface onto a specified domain and preserves the local area. This paper formulates the …

Manifold parameterizations have been applied to various fields of commercial industries.
Several efficient algorithms for the computation of triangular surface mesh parameterizations …

Surface parameterizations have been widely applied to computer graphics and digital
geometry processing. In this paper, we propose a novel stretch energy minimization (SEM) …

In this article, a novel explicit approach for designing complex thin-walled structures based
on the Moving Morphable Component (MMC) method is proposed, which provides a unified …

In this paper, we are concerned with the problem of creating flattening maps of simply
connected open surfaces in R^3. Using a natural principle of density diffusion in physics, we …

The slender property of shell structures causes the magnitude difference between in-plane
and out-of-plane stiffness. Inspired by such a geometry-induced anisotropy phenomenon …

An optimal transportation map finds the most economical way to transport one probability
measure to the other. It has been applied in a broad range of applications in vision, deep …