CAAM 499/699 004: Computational Image Processing (VIGRE)
Thursday, 4:00 - 5:20pm, Fall 2006
Location: TBA
Participating faculty: Wotao Yin, Yin Zhang, etc.
Syllabus
Lecture 1: Image modeling
Image modeling for image display, lower-level image processing, and high-level computer graphics. Lower-level image processing models: Bounded variation (BV) images, statistical images, level sets, Markov random fields, etc. and their relations.
Lecture 2: Image processing and Matlab.
Lectures 3 and 4: Variational image processing models
Denoising models: the ROF model and its variants; Decomposition models: The Meyer, Vese-Osher, TV/L1 models; Inpainting models.
Lectures 5 and 6: Numerical methods for variational image processing
PDE and various optimization methods.
Lecture 7: Student research proposals
Lectures 8-9: Advanced topics
(provisional) High dimensional geometry and image processing, metrics and regularization, iterative regularization, and inverse scale space.
Lectures 10-12: Student research presentations and discussions
Image modeling for image display, lower-level image processing, and high-level computer graphics. Lower-level image processing models: Bounded variation (BV) images, statistical images, level sets, Markov random fields, etc. and their relations.
Lecture 2: Image processing and Matlab.
Lectures 3 and 4: Variational image processing models
Denoising models: the ROF model and its variants; Decomposition models: The Meyer, Vese-Osher, TV/L1 models; Inpainting models.
Lectures 5 and 6: Numerical methods for variational image processing
PDE and various optimization methods.
(1) PDE time stepping method based on Euler-Lagrange equations
(2) A. Chambolle's dual method
(3) Second-order cone programming (SOCP) methods using commercial solver Mosek
(4) Graph-cut and parametric maximum flowLecture 7: Student research proposals
Lectures 8-9: Advanced topics
(provisional) High dimensional geometry and image processing, metrics and regularization, iterative regularization, and inverse scale space.
Lectures 10-12: Student research presentations and discussions