The book "Mathematical Problems in Image Processing" offers a comprehensive analysis of the application of partial differential equations (PDEs) and variational methods in the field of image processing. It is aimed at both the mathematical community and professionals in computer vision. The authors, Gilles Aubert and Pierre Kornprobst, present precise mathematical concepts and their discretization to illuminate a variety of image analysis applications. The second edition of the book updates the first and addresses new, challenging applications that have been developed in recent years. Additionally, programming tools are provided that enable readers to conduct their own simulations with minimal effort. This work serves as a valuable reference and source of inspiration for researchers in the fields of applied mathematics and computer vision and is also suitable as a foundation for advanced courses in these disciplines.