From the reviews:

„Imaging is a wide area of applied mathematics which covers inverse problems, data filtering … medical diagnosis, etc. … The book is structured in a logical manner, starting with motivating examples and building on them. … One of the strengths of this book is its real-life applications and analytical and numerical results presented at each step, keeping the content real … . This is … a book for the seasoned researchers or graduate students who look to deepen their understanding of the subject.“ (Bogdan G. Nita, Mathematical Reviews, Issue 2009 j)

“The book is mainly devoted to variational methods in imaging. It is divided into three parts. … The book is interesting in particular for its rigorous presentation of many proved mathematical results, and is … important for the image processing community.” (Alessandro Duci, Zentralblatt MATH, Vol. 1177, 2010)