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Ricci Flow for Shape Analysis and Surface Registration introduces the beautiful and profound Ricci flow theory in a discrete setting. By using basic tools in linear algebra and multivariate calculus, readers can deduce all the major theorems in surface Ricci flow by themselves. The authors adapt the Ricci flow theory to practical computational algorithms, apply Ricci flow for shape analysis and surface registration, and demonstrate the power of Ricci flow in many applications in medical imaging, computer graphics, computer vision and wireless sensor network. Due to minimal pre-requisites, this book is accessible to engineers and medical experts, including educators, researchers, students and industry engineers who have an interest in solving real problems related to shape analysis and surface registration. .

Algorithms. --- Mathematical physics. --- Riemannian manifolds. --- Ricci flow --- Computer vision --- Discrete groups --- Geometry --- Mathematics --- Physical Sciences & Mathematics --- Computer science --- Computer vision. --- Discrete groups. --- Geometry. --- Mathematics. --- Math --- Groups, Discrete --- Machine vision --- Vision, Computer --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Computer graphics. --- Computer mathematics. --- Convex geometry. --- Discrete geometry. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Computational Mathematics and Numerical Analysis. --- Convex and Discrete Geometry. --- Science --- Euclid's Elements --- Infinite groups --- Artificial intelligence --- Image processing --- Pattern recognition systems --- Optical data processing. --- Convex geometry . --- Combinatorial geometry --- Optical computing --- Visual data processing --- Bionics --- Integrated optics --- Photonics --- Computers --- Optical equipment --- Ricci flow. --- Evolution equations.