Fundamentals of digital image processing
Fundamentals of digital image processing
Feature-based correspondence: an eigenvector approach
Image and Vision Computing - Special issue: BMVC 1991
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Computing Betti numbers via combinatorial Laplacians
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Spectral compression of mesh geometry
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Normalized Cuts and Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Least squares conformal maps for automatic texture atlas generation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Texture Mapping Using Surface Flattening via Multidimensional Scaling
IEEE Transactions on Visualization and Computer Graphics
Watermarking 3D polygonal meshes in the mesh spectral domain
GRIN'01 No description on Graphics interface 2001
Laplacian Eigenmaps for dimensionality reduction and data representation
Neural Computation
On clusterings-good, bad and spectral
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
On Graph Partitioning, Spectral Analysis, and Digital Mesh Processing
SMI '03 Proceedings of the Shape Modeling International 2003
Segmentation Using Eigenvectors: A Unifying View
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Globally smooth parameterizations with low distortion
ACM SIGGRAPH 2003 Papers
Fundamentals of spherical parameterization for 3D meshes
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2004 Papers
Segmentation of 3D Meshes through Spectral Clustering
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Spectral surface reconstruction from noisy point clouds
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Iso-charts: stretch-driven mesh parameterization using spectral analysis
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Laplace-spectra as fingerprints for shape matching
Proceedings of the 2005 ACM symposium on Solid and physical modeling
A Spectral Technique for Correspondence Problems Using Pairwise Constraints
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Laplace-Beltrami Eigenfunctions Towards an Algorithm That "Understands" Geometry
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
An out-of-core sparse symmetric-indefinite factorization method
ACM Transactions on Mathematical Software (TOMS)
Discrete differential forms for computational modeling
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
A spectral approach to shape-based retrieval of articulated 3D models
Computer-Aided Design
Discrete laplace operators: no free lunch
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Laplace-Beltrami eigenfunctions for deformation invariant shape representation
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Discrete quadratic curvature energies
Computer Aided Geometric Design
Spectral quadrangulation with orientation and alignment control
ACM SIGGRAPH Asia 2008 papers
Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids
Computer-Aided Design
A hierarchical segmentation of articulated bodies
SGP '08 Proceedings of the Symposium on Geometry Processing
Shape analysis using the auto diffusion function
SGP '09 Proceedings of the Symposium on Geometry Processing
COCOON'03 Proceedings of the 9th annual international conference on Computing and combinatorics
On bending invariant signatures for surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Interactive surface modeling using modal analysis
ACM Transactions on Graphics (TOG)
Towards perceptual quality evaluation of dynamic meshes
Proceedings of the ACM SIGGRAPH Symposium on Applied Perception in Graphics and Visualization
Eigenmodes of surface energies for shape analysis
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
Modal shape analysis beyond Laplacian
Computer Aided Geometric Design
Empirical mode decomposition on surfaces
Graphical Models
Growing Least Squares for the Analysis of Manifolds in Scale-Space
Computer Graphics Forum
Consistent approximations of several geometric differential operators and their convergence
Applied Numerical Mathematics
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Spectral mesh processing is an idea that was proposed at the beginning of the 1990s to port the "signal processing toolbox" to the setting of 3D mesh models. Recent advances in both computing power and numerical software make it possible to fully implement this vision. In the classical context of sound and image processing, Fourier analysis was a cornerstone in development of a wide spectrum of techniques, such as filtering and recognition, to name but a few. In this course, attendees learn how to transfer the underlying concepts to setting a mesh model, how to implement the "spectral mesh processing" toolbox, and how to use it for real applications, including filtering, shape matching, remeshing, segmentation, and parameterization, among others.