Inverse reconstruction from images is a central problem in many scientific and engineering
disciplines. Recent progress on differentiable rendering has led to methods that can …

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 …

Many of the actions that we take with our hands involve self-contact and occlusion: shaking
hands, making a fist, or interlacing our fingers while thinking. This use of of our hands …

Mapping a triangulated surface to 2D space (or a tetrahedral mesh to 3D space) is an
important problem in geometry processing. In computational physics, untangling plays an …

A wide array of geometry processing and animation tasks boil down to minimizing a
deformation objective while seeking to achieve both targeted boundary conditions and …

The alternating direction method of multipliers (ADMM) is a popular approach for solving
optimization problems that are potentially non-smooth and with hard constraints. It has been …

Computing constrained mappings between domains is a fundamental task, performed
across a wide range of geometric and physical applications ranging from parameterization …

Curves play a fundamental role across computer graphics, physical simulation, and
mathematical visualization, yet most tools for curve design do nothing to prevent crossings …

We present a geometric optimisation framework that can recover fold-over free maps from
non-injective initial states using popular flip-preventing distortion energies. Since flip …

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