Mathematical Methods in Image Processing
Code: MTH 5050 – Special Topics
CSE 5880 – Advanced Topics in Computer Graphics
Instructor : Dr Gnana Bhaskar Tenali
Office : S-317
Contact Details : Tel. No . 674-7213 (0ff) e-mail : gtenali@fit.edu
Lecture Hours : Tuesday, Thursday : 5.00 pm – 7.45 pm Venue : S 112
Office Hours : Tuesday, Thursday : 4.00pm – 5.00 pm ( and by appointment)
Course Contents :
Mathematical Preliminaries :
Image Restoration :
Differential Geometry ;
Direct Methods in Calculus of Variations;
Spaces of functions of bounded variations ;
Viscosity solutions in PDE;
The Energy Method ; PDE Based Methods;
Image Segmentation : Mumford and Shaw Functional;
The Geodesic Active Contours ; Level Set Method
References :
1. G. Aubert and P. Kornprobst, Mathematical Problems in Image Processing,
Applied Mathematical Sciences 147, Springer, 2002.
2. Andrew Pressley, Elementary Differential Geometry, Springer, 2003.
3. LC Evans, Partial Differential Equations, Proceedings of AMS, 1998.
4. JB Conway, A course Functional Analysis, Springer, 1990.
5. B. Dacorogna, Direct Methods in Calculus of Variations, AMS, Springer, 1989.
Evaluation is based on a seminar presentation(s) on an assigned topic(s).