Vese and Guyader explore variational models, their corresponding Euler-Lagrange equations, and numeral implementations for image processing. They offer a general textbook on variational approaches, often overlapping with other textbooks in order to present a comprehensive and up-to-date account. It is suitable for graduate or advanced undergraduate students in applied mathematics, scientific computing, medical imaging, and related fields. Each chapter includes the presentation of the problem, its mathematical formation as a minimization operation, a discussion and analysis of its mathematical well-posedness, the derivation of the associated Euler-Lagrange equations, numerical approximations and algorithm descriptions, several numerical results, and a list of exercises. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)