A geometric map** establishes a correspondence between two domains. Since no real
object has zero or negative volume, such a map** 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 …

Map** 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 method is presented to compute volumetric maps and parametrizations of objects over 3D
domains. As a key feature, continuity and bijectivity are ensured by construction. Arbitrary …

This paper presents a method for optimizing visco-elastic material parameters of a finite
element simulation to best approximate the dynamic motion of real-world soft objects. We …

Non‐linear optimization is essential to many areas of geometry processing research.
However, when experimenting with different problem formulations or when prototy** new …

Barrier functions are crucial for maintaining an intersection-and inversion-free simulation
trajectory but existing methods, which directly use distance can restrict implementation …

Geometry processing of surface meshes relies heavily on the discretization of differential
operators such as gradient, Laplacian, and covariant derivative. While a variety of discrete …

Isotropic ARAP, which is synonymous with the popular corotational model 1 [Chao et al.
2010; Hsieh 1977; McAdams et al. 2011; Rankin and Brogan 1986; Stomakhin et al. 2012] …

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 …