This paper discusses certain modifications of the ideas concerning the Gromov–Hausdorff
distance which have the goal of modeling and tackling the practical problems of object …

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 …

We present a constructive approach to surface comparison realizable by a polynomial-time
algorithm. We determine the “similarity” of two given surfaces by solving a mass …

We propose a general and fully automatic framework for 3D facial expression recognition by
modeling sparse representation of conformal images. According to Riemann Geometry …

The Procrustes distance is used to quantify the similarity or dissimilarity of (three‐
dimensional) shapes and extensively used in biological morphometrics. Typically each …

Brain mapping transforms the brain cortical surface to canonical planar domains, which
plays a fundamental role in morphological study. Most existing brain mapping methods are …

Conformal means angle preserving in mathematics. Conformal geometry studies conformal
structure of general surfaces. Conformal structure is a natural geometric structure and a …

Surface parameterization refers to the process of mapping the surface to canonical planar
domains, which plays crucial roles in texture mapping and shape analysis purposes. Most …

In this paper, we introduce discrete Calabi flow to the graphics research community and
present a novel conformal mesh parameterization algorithm. Calabi energy has a succinct …

This paper is a companion paper to [Yaron Lipman and Ingrid Daubechies, Conformai
Wasserstein distances: Comparing surfaces in polynomial time, Adv. in Math.(ELS), 227 …