A geometric mapping establishes a correspondence between two domains. Since no real
object has zero or negative volume, such a mapping is required to be inversion-free …

This paper describes a numerical method for surface parameterization, yielding maps that
are locally injective and discretely conformal in an exact sense. Unlike previous methods for …

Surface parameterization is a fundamental problem in computer graphics and geometric
processing; thus, it has been widely used in many applications, such as texture mapping …

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

We describe a method for the generation of seamless surface parametrizations with
guaranteed local injectivity and full control over holonomy. Previous methods guarantee …

We propose a method for computing global Chebyshev nets on triangular meshes. We
formulate the corresponding global parameterization problem in terms of commuting …

Seamless global parametrization of surfaces is a key operation in geometry processing, eg,
for high-quality quad mesh generation. A common approach is to prescribe the parametric …

This paper presents a new preconditioning technique for large‐scale geometric optimization
problems, inspired by applications in mesh parameterization. Our positive (semi‐) definite …

QuadriFlow is a scalable algorithm for generating quadrilateral surface meshes based on
the Instant Field‐Aligned Meshes of Jakob et al.(ACM Trans. Graph. 34 (6): 189, 2015). We …

A variety of techniques were proposed to model smooth surfaces based on tensor product
splines (eg subdivision surfaces, free-form splines, T-splines). Conversion of an input …