Important new developments have appeared since the most recent direct survey on shape
correspondence published almost a decade ago. Our survey covers the period from 2011 …

Notions of similarity and correspondence between geometric shapes and images are central
to many tasks in geometry processing, computer vision, and computer graphics. The goal of …

Toolpath generation (TPG) for multi-axis milling machines using vector fields (VF) and vector
field analysis (VFA) is becoming increasingly popular in the manufacturing industry …

Shape correspondence is an important and challenging problem in geometry processing.
Generalized map representations, such as functional maps, have been recently suggested …

In this paper, we introduce complex functional maps, which extend the functional map
framework to conformal maps between tangent vector fields on surfaces. A key property of …

We propose a technique for interpolating between probability distributions on discrete
surfaces, based on the theory of optimal transport. Unlike previous attempts that use linear …

Geometric operators are common objects in surface-based shape analysis and geometry
processing. While the intrinsic Laplace–Beltrami operator has been a ubiquitous choice …

We propose using the Dirichlet-to-Neumann operator as an extrinsic alternative to the
Laplacian for spectral geometry processing and shape analysis. Intrinsic approaches …

Global intrinsic symmetry detection of 3D shapes has received considerable attentions in
recent years. However, unlike extrinsic symmetry that can be represented compactly as a …

We propose a fully-automatic method that computes from scratch point-to-point dense
correspondences between isometric shapes under topological noise. While relying on …