Site Map

Main
- Differential Geometry
  - Geometry of Curves
    - Parametric Curves and Arc Length
    - The Frenet Frame
    - Self-Adjoint Linear Maps and Quadratic Forms
    - The Osculating Circle
    - The Osculating Sphere
  - Geometry of Surfaces
    - Graphs and Level Sets
    - Parameterized Surfaces
    - Regular Surfaces
    - Change of Parameters
    - Normal and Principle Curvature
    - Gaussian and Mean Curvature
    - Surfaces of Revolution
    - Rulled Surfaces
  - Toolbox for Visualization
  - A Mathematical Graphical Image Library
- Applications to CAGD
  - Introduction
  - Mathematical Background
  - Bézier Curves
  - Interpolations and Blossoms
    - Polynomial Interpolations
    - B-Splines
    - Blossoms
  - B-Spline Curves
  - Spline Surfaces of Tensor Products
    - Tensor Product Patch
    - Triangular Bézier Surfaces
    - Derivatives and Hodographs
    - Surface Properties
    - Subdivision
  - Rational B-Splines
    - Conic Sections
    - Rational Surfaces
  - Algorithms and Triangular Patches
    - Surface Elevation
    - Bézier Conversion
    - Surface Subdivisions
    - Other Curves and Surfaces
    - Triangular Patches
  - Surface Construction Schemes
- CAGD in Industry
- Course Info