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A Concise and Provably Informative Multi-Scale Signature Based on Heat Diffusion
(The Eurographics Association and Blackwell Publishing Ltd, 2009)
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 the well-known heat kernel to the ...
Dynamic Geometry Registration
(The Eurographics Association, 2007)
We propose an algorithm that performs registration of large sets of unstructured point clouds of moving and deforming objects without computing correspondences. Given as input a set of frames with dense spatial and temporal ...
Stable Topological Signatures for Points on 3D Shapes
(The Eurographics Association and John Wiley & Sons Ltd., 2015)
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 proposed in the past decades. However, the ...
Continuous Matching via Vector Field Flow
(The Eurographics Association and John Wiley & Sons Ltd., 2015)
We present a new method for non-rigid shape matching designed to enforce continuity of the resulting correspondence. Our method is based on the recently proposed functional map representation, which allows efficient ...
Shape Matching via Quotient Spaces
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
We introduce a novel method for non-rigid shape matching, designed to address the symmetric ambiguity problem present when matching shapes with intrinsic symmetries. Unlike the majority of existing methods which try to ...
An Operator Approach to Tangent Vector Field Processing
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
In this paper, we introduce a novel coordinate-free method for manipulating and analyzing vector fields on discrete surfaces. Unlike the commonly used representations of a vector field as an assignment of vectors to the ...
Stable Region Correspondences Between Non-Isometric Shapes
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
We consider the problem of finding meaningful correspondences between 3D models that are related but not necessarily very similar. When the shapes are quite different, a point-to-point map is not always appropriate, so our ...
Global Intrinsic Symmetries of Shapes
(The Eurographics Association and Blackwell Publishing Ltd, 2008)
Although considerable attention in recent years has been given to the problem of symmetry detection in general shapes, few methods have been developed that aim to detect and quantify the intrinsic symmetry of a shape rather ...
A Condition Number for Non-Rigid Shape Matching
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Despite the large amount of work devoted in recent years to the problem of non-rigid shape matching, practical methods that can successfully be used for arbitrary pairs of shapes remain elusive. In this paper, we study the ...
Functional Fluids on Surfaces
(The Eurographics Association and John Wiley and Sons Ltd., 2014)
Fluid simulation plays a key role in various domains of science including computer graphics. While most existing work addresses fluids on bounded Euclidean domains, we consider the problem of simulating the behavior of an ...