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


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 21:29, 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:

[MARCHING CUBES: A High Resolution 3D Surface Construction Algorithm]

[Dual Contouring of Hermite Data]

Slides:

Further reading:

[Edge Groups: An Approach to Understanding the Mesh Quality of Marching Methods]

[Artifacts Caused By Simplicial Subdivision]

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:

[High-Quality Extraction of Isosurfaces from Regular and Irregular Grids]

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:

[Geometric Signal Processing on Polygonal Meshes]

[Spectral Geometry Processing with Manifold Harmonics]

Slides:

Further reading:

[Spectral Methods for Mesh Processing and Analysis]

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:

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

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

Slides:

Further reading:

[[2]]

[[3]]

Spectral Processing III -- Feb 3

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Spectral_Processing3

Lecturer: Claudio/Gustavo

Topics:

  • Spectral Mesh Segmentation

Required Reading/Notes:

[[4]]

[[5]]

[[6]]


Slides:

Further reading:

[[7]]

Spectral Processing IV -- Feb 5

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Spectral_Processing4

Lecturer: Claudio/Gustavo

Topics:

  • Shape Symmetries
  • Spectral Quadrangulation

Required Reading/Notes:

[Shape Symmetries]

[Spectral Quadrangulation] [Spectral Quadrangulation]

Slides:

Mesh Decimation -- Feb 10

Class Discussion Link: GeometryProcessing/Spring2009/Schedule/Mesh_Decimation

Lecturer: Claudio

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

Feb 12

Feb 17

Feb 19

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: