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 …

We present a computational method for interactive 3D design and rationalization of surfaces
via auxetic materials, ie, flat flexible material that can stretch uniformly up to a certain extent …

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 …

In this work, we exploit the T1 weighted image in conjunction with cortical surface boundary
to improve the precision of tractography under the cortex. We show that utilizing the cortical …

Studies in comparative neuroanatomy and of the fossil record demonstrate the influence of
socio-ecological niches on the morphology of the cerebral cortex, but have led to oftentimes …

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 novel method, called Simplex Assembly, to compute inversion-free mappings
with low or bounded distortion on simplicial meshes. Our method involves two steps: simplex …

In image processing tasks, spatial priors are essential for robust computations,
regularization, algorithmic design and Bayesian inference. In this paper, we introduce …

Discrete surfaces with spherical faces are interesting from a simplified manufacturing
viewpoint when compared to other double curved face shapes. Furthermore, by the nature of …

This paper presents a method that uses neural networks as a caching mechanism to reduce
the variance of Monte Carlo Partial Differential Equation solvers, such as the Walk-on …