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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 ...
An Optimization Approach to Improving Collections of Shape Maps
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Finding an informative, structure-preserving map between two shapes has been a long-standing problem in geometry processing, involving a variety of solution approaches and applications. However, in many cases, we are given ...
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 ...
Reconstruction of Deforming Geometry from Time-Varying Point Clouds
(The Eurographics Association, 2007)
In this paper, we describe a system for the reconstruction of deforming geometry from a time sequence of unstructured, noisy point clouds, as produced by recent real-time range scanning devices. Our technique reconstructs ...
LeSSS: Learned Shared Semantic Spaces for Relating Multi-Modal Representations of 3D Shapes
(The Eurographics Association and John Wiley & Sons Ltd., 2015)
In this paper, we propose a new method for structuring multi-modal representations of shapes according to semantic relations. We learn a metric that links semantically similar objects represented in different modalities. ...
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 ...
Dirichlet Energy for Analysis and Synthesis of Soft Maps
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Soft maps taking points on one surface to probability distributions on another are attractive for representing surface mappings in the presence of symmetry, ambiguity, and combinatorial complexity. Few techniques, however, ...
Consistent Shape Maps via Semidefinite Programming
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Recent advances in shape matching have shown that jointly optimizing the maps among the shapes in a collection can lead to significant improvements when compared to estimating maps between pairs of shapes in isolation. ...
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 ...
As-Killing-As-Possible Vector Fields for Planar Deformation
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Cartoon animation, image warping, and several other tasks in two-dimensional computer graphics reduce to the formulation of a reasonable model for planar deformation. A deformation is a map from a given shape to a new one, ...