This work introduces a unified framework for discrete surface Ricci flow algorithms, including
spherical, Euclidean, and hyperbolic Ricci flows, which can design Riemannian metrics on …

Ricci flow is a powerful curvature flow method, which is invariant to rigid motion, scaling,
isometric, and conformal deformations. We present the first application of surface Ricci flow …

In this paper we define a new methodology for shape analysis of parameterized surfaces,
where the main issues are:(1) choice of metric for shape comparisons and (2) invariance to …

This paper presents a novel Riemannian framework for shape analysis of parameterized
surfaces. In particular, it provides efficient algorithms for computing geodesic paths which, in …

In this paper, we propose a new method to systematically address the issue of structural
shape and topology optimization on free-form surfaces. A free-form surface, also termed …

Polycube map is a global cross-surface parameterization technique, where the polycube
shape can roughly approximate the geometry of modeled objects while retaining the same …

We consider 3-D brain structures as continuous parameterized surfaces and present a
metric for their comparisons that is invariant to the way they are parameterized. Past …

Priors play an essential role in Bayesian theory, and they are frequently center stage in
scientific inference. In image processing, geometric priors became very popular in the past …

We present a variational model with local weighted Gaussian curvature as regularizer. We
show its convexity for an area-weight function and provide a closed-form solution for this …

Dense vertex-to-vertex correspondence (ie registration) between 3D faces is a fundamental
and challenging issue for 3D &2D face analysis. While the sparse landmarks are definite …