An optimal control problem in medical image processing

IFIP International Federation for Information Processing

Volumn 202, Issue , 2006, Pages 249-259

  Bredies, K ^a   Lorenz, D A ^a   Maass, P ^a  

^a UNIVERSITY OF BREMEN   (Germany)

Author keywords

Generalized conditional gradient method; Image processing; Optimal control of PDEs; Surrogate functionals

Indexed keywords

GRADIENT METHODS; IMAGE PROCESSING; MAMMOGRAPHY; MEDICAL IMAGE PROCESSING; MEDICAL IMAGING; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING;

CONDITIONAL GRADIENT METHOD; CONTROL PROBLEMS; FUNCTIONALS; MAMMOGRAPHIC IMAGES; NONCONVEX PROBLEM; OPTIMAL CONTROL PROBLEM; OPTIMAL CONTROLS; PENALTY TERM;

INVERSE PROBLEMS;

EID: 33750456530     PISSN: 15715736     EISSN: None     Source Type: Book Series    
DOI: 10.1007/0-387-33882-9_23     Document Type: Conference Paper

References (14)

1. K. Bredies, D. A. Lorenz, and P. Maass. Equivalence of a generalized conditional gradient method and the method of surrogate functionals. Preprint of the DFG Priority Program 1114 No. 135, University of Bremen, 2005.
2. A. Cohen. Numerical Analysis of Wavelet Methods. Elsevier Science B. V., 2003.
3. I. Daubechies, M. Defrise, and C. De Mol. An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Communications in Pure and Applied Mathematics, 57(11): 1413-1457, 2004.
4. I. Ekeland and R. Temam. Convex analysis and variational problems. North-Holland, Amsterdam, 1976.
5. L. Florack and A. Kuijper. The topological structure of Scale-Space images. Journal of Mathematical Imaging and Vision, 12:65-79, 2000.
6. M. Frazier, B. Jawerth, and G. Weiss. Littlewood-Paley theory and the study of function spaces. Number 79 in Regional Conference Series in Mathematics. American Mathematical Society, 1991.
7. R Heinlein, J. Drexl, and W. Schneider Integrated wavelets for enhancement of microcalcifications in digital mammography. IEEE Transactions on Medical Imaging, 22(3):402-413, March 2003.
8. J.-L. Lions. Optimal Control of Systems Governed by Partial Differential Equations. Springer, 1971.
9. Y. Meyer. Wavelets and Operators, volume 37 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, 1992.
10. P. Perona and J. Malik. Scale-space and edge detection using anisotropic diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence, 12(7):629-639, 1990.
11. L. I. Rudin, S. J. Osher, and E. Fatemi. Nonlinear total variation based noise removal algorithms. Physica D, 60:259-268, 1992.
12. H.Triebel. Theory of Function Spaces II. Monographs in Mathematics. Birkhauser, 1992.
13. J. Weickert. Anisotropic diffusion in image processing. Teubner, Stuttgart, 1998.
14. A. P. Witkin. Scale-space filtering. In Proceedings of the International Joint Conference on Artificial Intelligence, pages 1019-1021, 1983.