Part I: Mathematical Preliminaries
Vector Spaces, Affine Spaces, and Metric Spaces
Differential Geometry
Finite Difference Methods for Partial Differential Equations
Part II: Computational Geometry Processing
Polygonal Meshes
Splines
Subdivision
Curvature in Triangle Meshes
Mesh Smoothing and Variational Subdivision
Parametrization of Meshes
Simplifying and Optimizing Triangle Meshes
Spatial Data Indexing and Point Location
Convex Hulls
Triangle Mesh Generation: Delaunay Triangulation
3D Surface Registration via Iterative Closest Point (ICP)
Surface Reconstruction using Radial Basis Functions
Volumetric Methods for Surface Reconstruction and Manipulation
Isosurface Polygonization
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