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
Normalized Cuts and Image Segmentation
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
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
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
Spectral conformal parameterization
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
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Geometry processing is a fast-growing area of research that designs efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulation and transmission of 3D models. This course covers different aspects of Geometry Processing, related with the reconstruction of high-level information from raw data. The first part of the course explains how starting with a point set (e.g. acquired with a 3D scanner), one can reconstruct a valid mesh, and then recover higher-level information (symmetry, structuration into parts). The second part is related with mesh-based computations (e.g. UV mapping and deformations) that need to define a function space over the mesh. We will introduce finite elements, spectral function bases and some of their applications. The course is based on the following courses/book, together with new elements: • Geometry Processing based on Polygonal Meshes (SIGGRAPH and EUROGRAPHICS Courses, Botsch et. al) • Polygon Mesh Processing (AK Peters/CRC Press, Botsch et. al) • Spectral Mesh Processing (SIGGRAPH and SIGGRAPH ASIA Course, Levy and Zhang)