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Point Signatures: A New Representation for 3D Object Recognition
International Journal of Computer Vision
Topology matching for fully automatic similarity estimation of 3D shapes
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ACM Transactions on Graphics (TOG)
Pose-Oblivious Shape Signature
IEEE Transactions on Visualization and Computer Graphics
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Multi-scale features for approximate alignment of point-based surfaces
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Laplace-Beltrami eigenfunctions for deformation invariant shape representation
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Articulated mesh animation from multi-view silhouettes
ACM SIGGRAPH 2008 papers
Discrete laplace operator on meshed surfaces
Proceedings of the twenty-fourth annual symposium on Computational geometry
Integral invariants for robust geometry processing
Computer Aided Geometric Design
Discrete Laplace--Beltrami operators and their convergence
Computer Aided Geometric Design
Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids
Computer-Aided Design
International Journal of Computer Vision
A randomized O(m log m) time algorithm for computing Reeb graphs of arbitrary simplicial complexes
Proceedings of the twenty-sixth annual symposium on Computational geometry
International Journal of Computer Vision
Spectral sampling of manifolds
ACM SIGGRAPH Asia 2010 papers
Orientation invariant 3D object classification using hough transform based methods
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Shape comparison through mutual distances of real functions
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Volumetric heat kernel signatures
Proceedings of the ACM workshop on 3D object retrieval
Unique shape context for 3d data description
Proceedings of the ACM workshop on 3D object retrieval
Hough transform and 3D SURF for robust three dimensional classification
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part VI
Shape google: Geometric words and expressions for invariant shape retrieval
ACM Transactions on Graphics (TOG)
An efficient RANSAC for 3D object recognition in noisy and occluded scenes
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part I
Robustness and modularity of 2-dimensional size functions: an experimental study
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
A new algorithm for computing the 2-dimensional matching distance between size functions
Pattern Recognition Letters
Pose-consistent 3D shape segmentation based on a quantum mechanical feature descriptor
DAGM'11 Proceedings of the 33rd international conference on Pattern recognition
Metric structures on datasets: stability and classification of algorithms
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part II
A new shape diffusion descriptor for brain classification
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Adaptive discrete Laplace operator
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part II
Non-rigid 3D model retrieval using multi-scale local features
MM '11 Proceedings of the 19th ACM international conference on Multimedia
Modeling 3D articulated motions with conformal geometry videos (CGVs)
MM '11 Proceedings of the 19th ACM international conference on Multimedia
Local features for partial shape matching and retrieval
MM '11 Proceedings of the 19th ACM international conference on Multimedia
Heat diffusion based dissimilarity analysis for schizophrenia classification
PRIB'11 Proceedings of the 6th IAPR international conference on Pattern recognition in bioinformatics
Curvature estimation for discrete curves based on auto-adaptive masks of convolution
CompIMAGE'10 Proceedings of the Second international conference on Computational Modeling of Objects Represented in Images
Eigenmodes of surface energies for shape analysis
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
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International Journal of Robotics Research
Discrete minimum distortion correspondence problems for non-rigid shape matching
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
A correspondence-less approach to matching of deformable shapes
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Hierarchical matching of non-rigid shapes
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Photometric heat kernel signatures
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Deformable shape retrieval by learning diffusion kernels
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Schelling points on 3D surface meshes
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Functional maps: a flexible representation of maps between shapes
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Modal shape analysis beyond Laplacian
Computer Aided Geometric Design
SMI 2012: Short Stable volumetric features in deformable shapes
Computers and Graphics
SMI 2012: Full Spectral computations on nontrivial line bundles
Computers and Graphics
SMI 2012: Full Local approximation of scalar functions on 3D shapes and volumetric data
Computers and Graphics
Discrete heat kernel determines discrete Riemannian metric
Graphical Models
Fragmented skull modeling using heat kernels
Graphical Models
Continuous and discrete Mexican hat wavelet transforms on manifolds
Graphical Models
Computer Graphics Forum
Contour canonical form: an efficient intrinsic embedding approach to matching non-rigid 3D objects
Proceedings of the 2nd ACM International Conference on Multimedia Retrieval
Keypoints and Local Descriptors of Scalar Functions on 2D Manifolds
International Journal of Computer Vision
Non-rigid shape correspondence and description using geodesic field estimate distribution
ACM SIGGRAPH 2012 Posters
The hitchhiker's guide to the galaxy of mathematical tools for shape analysis
ACM SIGGRAPH 2012 Courses
Computer Graphics Forum
Growing Least Squares for the Analysis of Manifolds in Scale-Space
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Nonrigid Matching of Undersampled Shapes via Medial Diffusion
Computer Graphics Forum
An optimization approach for extracting and encoding consistent maps in a shape collection
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Multi-scale partial intrinsic symmetry detection
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
A comparison of methods for non-rigid 3D shape retrieval
Pattern Recognition
A robust 3D interest points detector based on Harris operator
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
Feature selection for enhanced spectral shape comparison
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
SHREC'10 track: robust shape retrieval
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
SHREC'10 track: feature detection and description
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
Heat diffusion approach for feature-based body scans analysis
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Bag of words and local spectral descriptor for 3D partial shape retrieval
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Local shape descriptors, a survey and evaluation
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Evaluation of 3D interest point detection techniques
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
SHREC 2011: robust feature detection and description benchmark
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
SHREC'11 track: shape retrieval on non-rigid 3D watertight meshes
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Affine-invariant photometric heat kernel signatures
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Local goemetrical feature with spatial context for shape-based 3D model retrieval
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SHREC'12 track: stability on abstract shapes
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3D object classification using scale invariant heat kernels with collaborative classification
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume Part I
Stable spectral mesh filtering
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Correspondences of persistent feature points on near-isometric surfaces
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Schrödinger diffusion for shape analysis with texture
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Equi-affine invariant geometries of articulated objects
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Morphological analysis of the left ventricular endocardial surface and its clinical implications
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wFEM heat kernel: Discretization and applications to shape analysis and retrieval
Computer Aided Geometric Design
Performance Evaluation of 3D Keypoint Detectors
International Journal of Computer Vision
Feature-Preserved 3D Canonical Form
International Journal of Computer Vision
Fast nonrigid 3D retrieval using modal space transform
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Diffusion pruning for rapidly and robustly selecting global correspondences using local isometry
ACM Transactions on Graphics (TOG)
Graph characterization using gaussian wave packet signature
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Key-dependent 3D model hashing for authentication using heat kernel signature
Digital Signal Processing
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ACM Transactions on Graphics (TOG)
Technical Section: Topological saliency
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Computer Vision and Image Understanding
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SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
PHOG: photometric and geometric functions for textured shape retrieval
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
Consistent shape maps via semidefinite programming
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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Local signature quantization by sparse coding
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3DOR '13 Proceedings of the Sixth Eurographics Workshop on 3D Object Retrieval
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3DOR '13 Proceedings of the Sixth Eurographics Workshop on 3D Object Retrieval
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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 temporal domain. Remarkably we show that under certain mild assumptions, HKS captures all of the information contained in the heat kernel, and characterizes the shape up to isometry. This means that the restriction to the temporal domain, on the one hand, makes HKS much more concise and easily commensurable, while on the other hand, it preserves all of the information about the intrinsic geometry of the shape. In addition, HKS inherits many useful properties from the heat kernel, which means, in particular, that it is stable under perturbations of the shape. Our signature also provides a natural and efficiently computable multi-scale way to capture information about neighborhoods of a given point, which can be extremely useful in many applications. To demonstrate the practical relevance of our signature, we present several methods for non-rigid multi-scale matching based on the HKS and use it to detect repeated structure within the same shape and across a collection of shapes.