Computer Graphics, Spring 2008
Week by week calendar
January 28th
Intro and overview 
intro.pdf + Shape representations in computer graphics: parametric surfaces, subdivision surfaces, implicits, point-based surfaces, polygonal meshes. Related data structures: spatial partitioning, mesh data structures representations.pdf.
February 4th
Shape acquisition and reconstruction. More on implicit representations, MLS, marching cubes reconstruction.pdf.
- First assignment handout: Mesh "Hello World" + a model archive + a guide to the assignment
Paper presentations/discussions: Variational Implicit Surfaces and Shape Transformation using Variational Implicit Functions
February 11th
Linear algebra tools for geometric modeling: Least Squares and PCA linalgtools.pdf. Some details on Least Squares, Weighted Least Squares and Moving Least Squares asapmls.pdf
Paper presentations/discussions: Feature Sensitive Surface Extraction from Volume Data and Partial and Approximate Symmetry Detection for 3D Geometry
February 18th
Out of office (BIRS Workshop, Banff)
February 25th
SVD svd.pdf + differential geometry primer: tangents and normals, curvatures, differential operators ddg_curves.pdf. Some details on least squares optimal rotations svd_ls_rotation.pdf.
- First assignment due
- Second assignment handout: selection GUI, local mesh operations Selection GUI + local mesh operations
Paper presentations/discussions: As-Rigid-As-Possible Shape Interpolation and Implicit Fairing of Arbitrary Meshes using Diffusion and Curvature Flow
March 4th
Differential geometry of surfaces ddg_surfaces.pdf + digital geometry processing: smoothing and simplification dgp.pdf.
- Second assignment tips: picking.pdf
March 11th
Digital geometry processing: parameterization and remeshing dgp.pdf. Laplacian mesh processing lmp.pdf. Mesh deformation intro: surface-based methods vs. space deformations defointro.pdf.
- Final project description, suggested topics finalproject.pdf
Paper presentations/discussions: Least Squares Conformal Maps for Automatic Texture Atlas Generation and Explicit Surface Remeshing
March 18th
Spring break
March 25th
Guest lecture by Olga Sorkine: Differential surface editing techniques. Poisson and Laplacian mesh editing, advanced nonlinear techniques lme.pdf.
- Second assignment due
April 1st
Sketch-based interfaces for shape creation and editing. Teddy, FiberMesh, SilSketch sketch.pdf.
- Tentative project description due
Paper presentations/discussions: As-Rigid-As-Possible Shape Manipulation and Shading-Based Surface Editing
April 8th
Optimization methods used for shape processing and manipulation. Least squares, direct solvers, iterative methods, nonlinear solvers, Multiresolution techniques numerical.pdf.
Paper presentations/discussions: Image Deformation Using Moving Least Squares and Harmonic Coordinates for Character Articulation
April 15th
Space deformation techniques: classic FFD, radial basis functions, cage-based approaches spacedefo.pdf.
Paper presentations/discussions: As-Rigid-As-Possible Surface Modeling and 3D Deformation Using Moving Least Squares
April 22th
More applications of geometric optimizations: skin animation skeldefo.pdf.
Paper presentations/discussions: Mesh editing with poisson-based gradient field manipulation (in comparison to Laplacian Surface Editing) and
PriMo: Coupled Prisms for Intuitive Surface Modeling
April 29th
Presentation of final projects.