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

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 …

We present an algorithm for the automatic alignment of two 3D shapes (data and model),
without any assumptions about their initial positions. The algorithm computes for each …

" Symmetry is a complexity-reducing concept [...]; seek it every-where."-Alan J. PerlisMany
natural and man-made objects exhibit significant symmetries or contain repeated …

Informative and discriminative feature descriptors play a fundamental role in deformable
shape analysis. For example, they have been successfully employed in correspondence …

For shapes represented as closed planar contours, we introduce a class of functionals which
are invariant with respect to the Euclidean group and which are obtained by performing …

Differential invariants of curves and surfaces such as curvatures and their derivatives play a
central role in Geometry Processing. They are, however, sensitive to noise and minor …

In this work, we present intrinsic shape context (ISC) descriptors for 3D shapes. We
generalize to surfaces the polar sampling of the image domain used in shape contexts: for …

Comparing points on 3D shapes is among the fundamental operations in shape analysis. To
facilitate this task, a great number of local point signatures or descriptors have been …

The computation of a rigid body transformation which optimally aligns a set of measurement
points with a surface and related registration problems are studied from the viewpoint of …