The field of smooth vector graphics explores the representation, creation, rasterization, and
automatic generation of light-weight image representations, frequently used for scalable …

In Generalized Barycentric Coordinates in Computer Graphics and Computational
Mechanics, eminent computer graphics and computational mechanics researchers provide …

The computation of smooth fields of orthogonal directions within a volume is a critical step in
hexahedral mesh generation, used to guide placement of edges and singularities. While this …

Abstract 3D shape editing is widely used in a range of applications such as movie
production, computer games and computer aided design. It is also a popular research topic …

Barycentric coordinates yield a powerful and yet simple paradigm to interpolate data values
on polyhedral domains. They represent interior points of the domain as an affine …

In geometry processing, smoothness energies are commonly used to model scattered data
interpolation, dense data denoising, and regularization during shape optimization. The …

We present a new method for interpolating both boundary values and gradients over a 2D
polygonal domain. Despite various previous efforts, it remains challenging to define a closed …

The problem of planar mapping and deformation is central in computer graphics. This paper
presents a framework for adapting general, smooth, function bases for building provably …

We propose novel finite-dimensional spaces of well-behaved transformations. The latter are
obtained by (fast and highly-accurate) integration of continuous piecewise-affine velocity …

In geometry processing and shape analysis, several applications have been addressed
through the properties of the spectral kernels and distances, such as commute‐time …