Mathematical Methods in Image Processing and Inverse Problems

The book "Mathematical Methods in Image Processing and Inverse Problems" offers a comprehensive collection of eleven scientific articles derived from presentations by invited speakers during the International Workshop on Image Processing and Inverse Problems. This workshop took place from April 21 to 24, 2018, at the Beijing Computational Science Research Center in China and was held in honor of Professor Raymond Chan on the occasion of his 60th birthday. The contributions cover a wide range of topics, including image reconstruction, image segmentation, image registration, and inverse problems. Additionally, modern approaches such as deep learning, partial differential equations, and statistical theories are discussed. The works gathered in this book present current developments in mathematical analysis, advanced modeling, efficient algorithms, and their applications. It provides valuable insights into new research trends in deep learning and optimization for image science and serves as a useful reference for researchers working on related topics, computer vision, visualization, inverse problems, image processing, and medical imaging.