A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Multiresolution signal processing for meshes
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG)
Laplacian Eigenmaps for dimensionality reduction and data representation
Neural Computation
Fair morse functions for extracting the topological structure of a surface mesh
ACM SIGGRAPH 2004 Papers
Mesh editing with poisson-based gradient field manipulation
ACM SIGGRAPH 2004 Papers
Discrete Laplace-Beltrami operators and their convergence
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
Laplace-spectra as fingerprints for shape matching
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Discrete surface modelling using partial differential equations
Computer Aided Geometric Design
Robust 3D Shape Correspondence in the Spectral Domain
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
A spectral approach to shape-based retrieval of articulated 3D models
Computer-Aided Design
Convergence of discrete Laplace-Beltrami operators over surfaces
Computers & Mathematics with Applications
On bending invariant signatures for surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Topology-Invariant Similarity of Nonrigid Shapes
International Journal of Computer Vision
Constructing Laplace operator from point clouds in Rd
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
An Intrinsic Framework for Analysis of Facial Surfaces
International Journal of Computer Vision
A diffusion wavelet approach for 3-D model matching
Computer-Aided Design
Harmonic 1-form based skeleton extraction from examples
Graphical Models
Technical Section: Discrete Laplace-Beltrami operators for shape analysis and segmentation
Computers and Graphics
Discovering Process Models from Unlabelled Event Logs
BPM '09 Proceedings of the 7th International Conference on Business Process Management
Partial intrinsic reflectional symmetry of 3D shapes
ACM SIGGRAPH Asia 2009 papers
Streaming 3D meshes using spectral geometry images
MM '09 Proceedings of the 17th ACM international conference on Multimedia
ACM SIGGRAPH ASIA 2009 Courses
3D shape consistent correspondence by using Laplace-Beltrami spectral embeddings
Proceedings of the 8th International Conference on Virtual Reality Continuum and its Applications in Industry
Proceedings of the 8th International Conference on Virtual Reality Continuum and its Applications in Industry
Global intrinsic symmetries of shapes
SGP '08 Proceedings of the Symposium on Geometry Processing
A hierarchical segmentation of articulated bodies
SGP '08 Proceedings of the Symposium on Geometry Processing
Interior distance using barycentric coordinates
SGP '09 Proceedings of the Symposium on Geometry Processing
A concise and provably informative multi-scale signature based on heat diffusion
SGP '09 Proceedings of the Symposium on Geometry Processing
Gromov-Hausdorff stable signatures for shapes using persistence
SGP '09 Proceedings of the Symposium on Geometry Processing
Shape analysis using the auto diffusion function
SGP '09 Proceedings of the Symposium on Geometry Processing
Estimating the Laplace-Beltrami operator by restricting 3D functions
SGP '09 Proceedings of the Symposium on Geometry Processing
Approximating gradients for meshes and point clouds via diffusion metric
SGP '09 Proceedings of the Symposium on Geometry Processing
Full and Partial Symmetries of Non-rigid Shapes
International Journal of Computer Vision
Technical Section: Fiedler trees for multiscale surface analysis
Computers and Graphics
Spectral-Driven Isometry-Invariant Matching of 3D Shapes
International Journal of Computer Vision
International Journal of Computer Vision
International Journal of Computer Vision
ACM SIGGRAPH 2010 Courses
Spectral sampling of manifolds
ACM SIGGRAPH Asia 2010 papers
Shape comparison through mutual distances of real functions
Proceedings of the ACM workshop on 3D object retrieval
Volumetric heat kernel signatures
Proceedings of the ACM workshop on 3D object retrieval
Affine puzzle: realigning deformed object fragments without correspondences
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
Shape google: Geometric words and expressions for invariant shape retrieval
ACM Transactions on Graphics (TOG)
Articulation-invariant representation of non-planar shapes
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Efficient computation of scale-space features for deformable shape correspondences
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Intra-patient supine-prone colon registration in CT colonography using shape spectrum
MICCAI'10 Proceedings of the 13th international conference on Medical image computing and computer-assisted intervention: Part I
Matching 2D and 3D articulated shapes using the eccentricity transform
Computer Vision and Image Understanding
Mean Laplace-Beltrami operator for quadrilateral meshes
Transactions on edutainment V
ECML PKDD'11 Proceedings of the 2011 European conference on Machine learning and knowledge discovery in databases - Volume Part I
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
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Adaptive discrete Laplace operator
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part II
3D CAD model retrieval with perturbed Laplacian spectra
Computers in Industry
Elements of geometry processing
SIGGRAPH Asia 2011 Courses
Eigenmodes of surface energies for shape analysis
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
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
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
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Deformable shape retrieval by learning diffusion kernels
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Functional maps: a flexible representation of maps between shapes
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
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
Fragmented skull modeling using heat kernels
Graphical Models
Multi-scale partial intrinsic symmetry detection
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Characterizing shape using conformal factors
EG 3DOR'08 Proceedings of the 1st Eurographics conference on 3D Object Retrieval
Template based shape descriptor
EG 3DOR'09 Proceedings of the 2nd Eurographics conference on 3D Object Retrieval
Robust volumetric shape descriptor
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: correspondence finding
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
ConTopo: non-rigid 3D object retrieval using topological information guided by conformal factors
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
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Affine-invariant photometric heat kernel signatures
EG 3DOR'12 Proceedings of the 5th Eurographics conference on 3D Object Retrieval
Stable spectral mesh filtering
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume Part I
Schrödinger diffusion for shape analysis with texture
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume Part I
Equi-affine invariant geometries of articulated objects
Proceedings of the 15th international conference on Theoretical Foundations of Computer Vision: outdoor and large-scale real-world scene analysis
3D shape classification using commute time
SSPR'12/SPR'12 Proceedings of the 2012 Joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
Shape analysis using the edge-based laplacian
SSPR'12/SPR'12 Proceedings of the 2012 Joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
wFEM heat kernel: Discretization and applications to shape analysis and retrieval
Computer Aided Geometric Design
Relaxed lightweight assembly retrieval using vector space model
Computer-Aided Design
Feature-Preserved 3D Canonical Form
International Journal of Computer Vision
Fast nonrigid 3D retrieval using modal space transform
Proceedings of the 3rd ACM conference on International conference on multimedia retrieval
A multiresolution descriptor for deformable 3D shape retrieval
The Visual Computer: International Journal of Computer Graphics
Pose analysis using spectral geometry
The Visual Computer: International Journal of Computer Graphics
SMI 2013: Laplacians on flat line bundles over 3-manifolds
Computers and Graphics
SMI 2013: Grouping real functions defined on 3D surfaces
Computers and Graphics
SMI 2013: Heat diffusion kernel and distance on surface meshes and point sets
Computers and Graphics
Conformal mapping via metric optimization with application for cortical label fusion
IPMI'13 Proceedings of the 23rd international conference on Information Processing in Medical Imaging
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
3D-model retrieval using bag-of-features based on closed curves
3DOR '13 Proceedings of the Sixth Eurographics Workshop on 3D Object Retrieval
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A deformation invariant representation of surfaces, the GPS embedding, is introduced using the eigenvalues and eigenfunctions of the Laplace-Beltrami differential operator. Notably, since the definition of the GPS embedding completely avoids the use of geodesic distances, and is based on objects of global character, the obtained representation is robust to local topology changes. The GPS embedding captures enough information to handle various shape processing tasks as shape classification, segmentation, and correspondence. To demonstrate the practical relevance of the GPS embedding, we introduce a deformation invariant shape descriptor called G2-distributions, and demonstrate their discriminative power, invariance under natural deformations, and robustness.