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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 MATLABŪ code and color figures.