GeometryProcessing/Spring2009/Schedule

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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:

[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:

[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]

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: