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Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro. The need to study such shapes and model their behavior arises in a wide spectrum of applications, ranging from medicine to security. In recent years, non-rigid shapes have attracted a growing interest, which has led to rapid development of the field, where state-of-the-art results from very different sciences - theoretical and numerical geometry, optimization, linear algebra, graph theory, machine learning and computer graphics, to mention a few - are applied to find solutions.

Numerical geometry of non-rigid shapes is the first attempt to consistently present nonrigid shape analysis, bringing together a variety of problems and approaches. The book gives an up-to-date overview of current state of science in the field. Self-contained presentation of topics unfolds systematically and numerous figures enrich the engaging exposition. Everyday examples are used to explain concepts and to illustrate different techniques. Practice problems follow the end of each chapter, with detailed solutions to selected problems in the appendix.

The book will be of interest to graduate students, researchers and professionals in different fields of mathematics, computer science and engineering. It could be used for courses in computer vision, numerical geometry and geometric modeling and computer graphics or for self-study.