Difference between revisions of "GeometryProcessing/Spring2009/Schedule"

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Required Reading/Notes:  
Required Reading/Notes:  


[[http://alice.loria.fr/publications/papers/2006/SMI_Laplacian/SMI_Laplacian.pdf Laplace-Beltrami Eigenfunctions Towards an algorithm that “understands” geometry]]
[[http://alice.loria.fr/publications/papers/2006/SMI_Laplacian/SMI_Laplacian.pdf Bruno Levy. Laplace-Beltrami Eigenfunctions Towards an algorithm that “understands” geometry, SMI, 2006]]


Fan R. K. Chung. Spectral Graph Theory (CBMS Regional Conference Series in Mathematics, No. 92),  
Fan R. K. Chung. Spectral Graph Theory (CBMS Regional Conference Series in Mathematics, No. 92),  

Revision as of 22:35, 22 December 2008

Introduction to Geometry Processing -- Jan 13

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Introduction_to_Geometry_Processing

Lecturer: Gustavo

Topics: Course Overview

Slides:

Surface Representations -- Jan 15

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Surface_Representations

Lecturer: Gustavo

Topics:

  • Implicit and Parametric Surfaces
  • Representing/Manipulating Implicit Surfaces - CAGD
  • Representing/Manipulating Parametric Surfaces - Splines
  • Piecewise Linear Approximations - Topological Data Structures

Required Reading/Notes:

M. Mantyla

Slides:

Animations:

Further reading:

[[1]]

Surface Generation and/or Extraction I -- Jan 20

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Surface_Generation_Extraction1

Lecturer: Gustavo

Topics:

  • Capturing Methods
    • Marching Cubes/Tetrahedra
    • Dual Contouring

Required Reading/Notes:

[William E. Lorensen and Harvey E. Cline. MARCHING CUBES: A High Resolution 3D Surface Construction Algorithm, Computer Graphics, 1987]

[Tao Ju, Frank Losasso, Scott Schaefer, Joe Warren. Dual Contouring of Hermite Data, SIGGRAPH 2002]

Slides:

Further reading:

[Carlos A. Dietrich et al. Edge Groups: An Approach to Understanding the Mesh Quality of Marching Methods, IEEE TVCG, 2008]

[Hamish Carr, Torsten Moller, and Jack Snoeyink. Artifacts Caused By Simplicial Subdivision, IEEE TVCG, 2006]

Surface Generation and/or Extraction II -- Jan 22

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Surface_Generation_Extraction2

Lecturer: Gustavo

Topics:

  • Advancing Front Methods
    • Afront

Required Reading/Notes:

[John Schreiner, Carlos E. Scheidegger, and Claudio T. Silva. High-Quality Extraction of Isosurfaces from Regular and Irregular Grids, IEEE TVCG, 2006]

Slides:

Spectral Processing I -- Jan 27

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Spectral_Processing1

Lecturer: Claudio/Gustavo

Topics:

  • Laplacian Mesh Matrix
    • Eigenvalues and Eigenvectors/Eigenfunctions
    • Relationship with FFT
    • Geometry and Laplacian Matrix

Required Reading/Notes:

[G. Taubin. Geometric Signal Processing on Polygonal Meshes, EUROGRAPHICS ’2000 STAR – State of The Art Report, 2000]

[B. Vallet and B. Lévy. Spectral Geometry Processing with Manifold Harmonics, EUROGRAPHICS 2008]

Slides:

Further reading:

[Hao Zhang Oliver van Kaick Ramsay Dyer. Spectral Methods for Mesh Processing and Analysis, EUROGRAPHICS 2007 STAR – State of The Art Report, 2007]

Spectral Processing II -- Jan 29

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Spectral_Processing2

Lecturer: Claudio/Gustavo

Topics:

  • Laplacian Eigenfunctions
    • Properties
    • Visualization
    • Interaction

Required Reading/Notes:

[Bruno Levy. Laplace-Beltrami Eigenfunctions Towards an algorithm that “understands” geometry, SMI, 2006]

Fan R. K. Chung. Spectral Graph Theory (CBMS Regional Conference Series in Mathematics, No. 92), American Mathematical Society, 1997

Slides:

Further reading:

[Laplace–Beltrami spectra as ‘Shape-DNA’ of surfaces and solids]

Spectral Processing III -- Feb 3

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Spectral_Processing3

Lecturer: Claudio/Gustavo

Topics:

  • Spectral Mesh Segmentation

Required Reading/Notes:

[Mesh Segmentation via Recursive and Visually Salient Spectral Cuts]

[Mesh Segmentation via Spectral Embedding and Contour Analysis]

[Segmentation of 3D Meshes through Spectral Clustering]


Slides:

Further reading:

[Mesh segmentation – A comparative study]

Spectral Processing IV -- Feb 5

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Spectral_Processing4

Lecturer: Claudio/Gustavo

Topics:

  • Shape Symmetries
  • Spectral Quadrangulation

Required Reading/Notes:

[Global Intrinsic Symmetries of Shapes]

[Spectral Surface Quadrangulation]

[Spectral Quadrangulation with Orientation and Alignment Control]

Slides:

Mesh Decimation -- Feb 10

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Mesh_Decimation

Lecturer: Claudio/Gustavo

Topics:

Required Reading/Notes:

[Surface Simplification Using Quadric Error Metrics]

[A comparison of mesh simplification algorithms]


Slides:

Further reading:

[Optimal triangulation and quadric-based surface simplification

Mesh Smoothing -- Feb 12

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Mesh_Smoothing

Lecturer: Claudio/Gustavo

Topics:

Required Reading/Notes:

[Non-iterative, feature-preserving mesh smoothing]

[Bilateral Mesh Denoising]

[A Signal Processing Approach To Fair Surface Design]


Slides:

Further reading:

[A comparison of mesh smoothing methods]

Remeshing I -- Feb 17

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Remeshing1

Lecturer: Claudio/Gustavo

Topics:

Required Reading/Notes:

[V. Surazhsky and C. Gotsman. Explicit surface remeshing. Proceedings of the Symposium on Mesh Processing, 2003]


Slides:

Further reading:

[Pierre Alliez, Giuliana Ucelli, Craig Gotsman and Marco Attene. Recent Advances in Remeshing of Surfaces, 2005]

[Vitaly Surazhsky, Craig Gotsman. High Quality Compatible Triangulations,11th International Meshing Roundtable, 2002]

Remeshing II -- Feb 19

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Remeshing2

Lecturer: Claudio/Gustavo

Topics:

Required Reading/Notes:

[P. Alliez , E. Colin de Verdiere, O. Devillers, and M. Isenburg. Isotropic surface remeshing. In Proceedings of Shape Modeling International, 2003]


Slides:

Further reading:

[Vitaly Surazhsky, Craig Gotsman. High Quality Compatible Triangulations,11th International Meshing Roundtable, 2002]

[Vitaly Surazhsky, Pierre Alliez, Craig Gotsman. Isotropic Remeshing of Surfaces: a Local Parameterization Approach, ECG Technical Report No. : ECG-TR-304100-01, 2003]

Feb 24

Feb 26

Mar 3

Mar 5

Mar 10

Mar 12

Mar 17 (Spring Break)

Mar 19 (Spring Break)

Mar 24

Mar 26

Mar 31

Apr 2

Apr 7

Apr 9

Apr 14

Apr 16

Apr 21

Apr 23

Apr 28

Typical Class

Class Discussion Link:

Lecturer:

Topics:

Required Reading/Notes:

Slides:

Animations:

Further reading: