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 …

The goal of our work is to develop an efficient, automatic algorithm for discovering point
correspondences between surfaces that are approximately and/or partially isometric. Our …

The last two decades have witnessed the explosive growth of image production from digital
photographs to the medical scans, satellite images, and video films. Consequently, the …

In this paper, we propose a high-order graph matching formulation to address non-rigid
surface matching. The singleton terms capture the geometric and appearance similarities …

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 virtual colonoscopy, CT scans are typically acquired with the patient in both supine (facing
up) and prone (facing down) positions. The registration of these two scans is desirable so …

A novel method for registering 3D surfaces with large deformations is presented, which is
based on quasi-conformal geometry. A general diffeomorphism distorts the conformal …

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 …

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

We report recent progress in the computation of conformal mappings from surfaces with
arbitrary topologies to canonical domains. Two major computational methodologies are …