Variational methods have proven to be powerful techniques for solving many image processing tasks. Balancing theory with practical approaches, this book covers a wide range of variational methods and their applications. The first part of the text focuses on image restoration, covering such topics as regularization, minimization, and nonlocal and higher-order variational methods. The second part addresses image segmentation, including the Mumford and Shah segmentation problem. The final section discusses varational image processing on manifolds. An accompanying CD-ROM includes MATLABR code and color figures.
Luminita A. Vese is a professor in the Department of Mathematics at UCLA. She is the author or co-author of numerous papers and book chapters on the calculus of variations, PDEs, numerical analysis, image analysis, curve evolution, computer vision, and free boundary problems.
Carole Le Guyader is an associate professor in the mathematical and software engineering department at the National Institute of Applied Sciences of Rouen. She has authored or co-authored many papers on analysis and simulation, digital imaging mathematics and applications, and parallel computing.
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