This monograph reviews both the theory and practice of the numerical computation of
geodesic distances on Riemannian manifolds. The notion of Riemannian manifold allows …

3D registration or matching is a crucial step in 3D model reconstruction. Registration
applications span along a variety of research fields, including computational geometry …

Data acquisition in large‐scale scenes regularly involves accumulating information across
multiple scans. A common approach is to locally align scan pairs using Iterative Closest …

Three-dimensional surface registration transforms multiple three-dimensional data sets into
the same coordinate system so as to align overlapping components of these sets. Recent …

We describe the first mobile app for identifying plant species using automatic visual
recognition. The system–called Leafsnap–identifies tree species from photographs of their …

The fundamental model of all solid crystalline materials is a periodic set of atomic centers
considered up to rigid motion in Euclidean space. The major obstacle to materials discovery …

We propose a novel point signature based on the properties of the heat diffusion process on
a shape. Our signature, called the Heat Kernel Signature (or HKS), is obtained by restricting …

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 …

We introduce the first completely unsupervised correspondence learning approach for
deformable 3D shapes. Key to our model is the understanding that natural deformations …

In this paper, we propose a method for computing partial functional correspondence
between non‐rigid shapes. We use perturbation analysis to show how removal of shape …