This book introduces the theory of Ricci flow in a discrete setting, adapting it for practical computational algorithms in shape analysis and surface registration. The authors, Wei Zeng and Xianfeng David Gu, leverage fundamental tools from linear algebra and multivariate calculus to enable readers to derive key theorems in surface Ricci flow. The text demonstrates the application of Ricci flow in diverse fields such as medical imaging, computer graphics, computer vision, and wireless sensor networks, highlighting its utility in solving real-world problems. With minimal prerequisites, the book aims to be accessible to engineers and medical experts, including educators, researchers, students, and industry professionals.

The book is presented as an accessible introduction to Ricci flow theory for a broad audience, including engineers and medical experts. Its approach emphasizes self-deduction of theorems using foundational mathematical tools, suggesting a pedagogical focus. The practical applications across various technical fields indicate its relevance for researchers and industry professionals seeking to solve problems in shape analysis and surface registration. The minimal prerequisites further suggest an intention to bridge the gap between theoretical mathematics and applied computational science.