GMM: Level Set Solver in 2D and 3D

• Features:
  • Equation: The eikonal equation in 2D and 3D.
  • Domain: Rectangle
  • Mesh: Uniform
  • Discretizer: Upwind ENO scheme
  • Methods: Group Marching Method (GMM) & Fast Marching Method (FMM)
  • Language: C++, C, and F77
• Source code & Documentation: GMM23D.CF.tar and GMM_SISC.ps

Fourth-Order PDEs for Image Denoising

• Features:
  • Equation: Fourth-order variational denoising models
  • Domain: Rectangle
  • Mesh: Uniform
  • Discretizer: Finite difference schemes
  • Methods: Piecewise Planarity Conditions
  • Language: C++, C, and F77
• Source code & Documentation: PDE4_Explicit.CC.tar and PDE4_Denoising.pdf

Edge-Preserving Anisotropic Diffusion

• Features:
  • Equation: Anisotropic Diffusion in 2D.
  • Domain: Rectangle
  • Mesh: Uniform (2D Image)
  • Discretizer: Minimum-Biased Anisotropic Diffusion (MinBAD)
  • Temporal Methods: ADI, Fractional Step (FS), and Additive Operator Splitting (AOS) methods.
  • Language: C++ and C; mostly C
• Source code & Documentation: NoiseRemoval_I.ps.
  For source code, ask me skim@math.msstate.edu.
  (This is an on-going project: January 2002.)
• You may want first to see numerical performances of MinBAD