CSCI-GA.3033-018 - Geometric Modeling
60 Fifth Ave, 5th floor
Phone: 212 998 3208
Office Hours: Thursdays, 3pm-4pm and by appointment, 60 Fifth Ave, 5th floor
Office Hours: Tuesday 3pm - 4pm. Room 540, 60 Fifth Ave.
Thursdays at 5:10pm - 7pm 60 Fifth Ave, C10
Recitation: Thursday 4pm - 5pm. 60 Fifth Ave, 527
Recent advances in 3D digital geometry processing have created a plenitude of novel concepts for the mathematical representation and interactive manipulation of geometric models. This course covers some of the latest developments in geometric modeling and digital geometry processing. Topics include surface modeling based on polygonal meshes, surface reconstruction, mesh improvement, mesh parametrization, discrete differential geometry, interactive shape editing, skinning animation, architectural and structure-aware geometric modeling, shape modeling with an eye on 3D printing. The students will learn how to design, program and analyze algorithms and systems for interactive 3D shape modeling and digital geometry processing.
Students will implement advanced geometry processing algorithms using C++ and libigl.
By the end of the course, the students will be able to design, program and analyze algorithms and systems for interactive 3D shape modeling and digital geometry processing.
- Geometry Acquisition
- Surface Reconstruction
- Normal Estimation and PCA
- Basic Differential Geometry of Curves and Surfaces
- Mesh smoothing and optimization
- Mesh Parametrization
- Mesh Deformation and Editing
- Space Deformations
- Skeletal Animation and Skinning
- Architectural Geometry
- Fabrication-Aware Modeling
Polygon Mesh Processing Mario Botsch, Leif Kobbelt, Mark Pauly, Pierre Alliez A K Peters/CRC Press Textbook - 250 Pages ISBN 1568814267
Schedule and Course Notes:
The course schedule is tentative and will be adjusted along the way.
- January 25, 2018 01 - Introduction (keynote)
- February 1, 2018 02 - Acquisition (keynote)
- February 8, 2018 03 - Reconstruction (keynote)
- February 15, 2018 04 - Normals and Curves (keynote)
- February 22, 2018 05 - Surfaces (keynote)
- March 1, 2018 06 - Smoothing (keynote)
- March 22, 2018 07 - Directional Fields (keynote)
- March 29, 2018 08 - Single Patch Parametrization (keynote)
- April 5, 2018 09 - Boundary-Free Parametrization and Laplacian Mesh Deformation (keynote)
- April 12, 2018 10 - ARAP and Linear Blend Skinning (keynote)