He C. Parallel Operator Splitting Algorithms with App to Imaging...2023

Textbook in PDF format

Image denoising, image deblurring, image inpainting, super-resolution, and compressed sensing reconstruction have important application value in engineering practice, and they are also the hot frontiers in the field of image processing. This book focuses on the numerical analysis of ill condition of imaging inverse problems and the methods of solving imaging inverse problems based on operator splitting. Both algorithmic theory and numerical experiments have been addressed. The book is divided into six chapters, including preparatory knowledge, ill-condition numerical analysis and regularization method of imaging inverse problems, adaptive regularization parameter estimation, and parallel solution methods of imaging inverse problem based on operator splitting. Although the research methods in this book take image denoising, deblurring, inpainting, and compressed sensing reconstruction as examples, they can also be extended to image processing problems such as image segmentation, hyperspectral decomposition, and image compression. This book can benefit teachers and graduate students in colleges and universities, or be used as a reference for self-study or further study of image processing technology engineers.
Introduction
Mathematical Fundamentals
Ill-Poseness of Imaging Inverse Problems and Regularization for Detail Preservation
Fast Parameter Estimation in TV-Based Image Restoration
Parallel Alternating Derection Method of Multipliers with Application to Image Restoration
Parallel Primal-dual Method with Application to Image Restoration