A Survey on Non-rigid 3D Shape Analysis <s> ACKNOWLEDGMENTS <s> In this brief communication, we provide an overview of the density-based shape description framework in and the details of the runs we have submitted to the Watertight Models Track of the SHREC’07. <s> BIB001 </s> A Survey on Non-rigid 3D Shape Analysis <s> ACKNOWLEDGMENTS <s> 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 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 several - are applied to find solutions. This book gives an overview of the current state of science in analysis and synthesis of non-rigid shapes. Everyday examples are used to explain concepts and to illustrate different techniques. The presentation unfolds systematically and numerous figures enrich the engaging exposition. Practice problems follow at the end of each chapter, with detailed solutions to selected problems in the appendix. A gallery of colored images enhances the text. This book will be of interest to graduate students, researchers and professionals in different fields of mathematics, computer science and engineering. It may be used for courses in computer vision, numerical geometry and geometric modeling and computer graphics or for self-study. <s> BIB002
The 3D human shape models used in this chapter have been kindly provided by Nils Hasler. The other models are from the TOSCA BIB002 and SHREC07 datasets BIB001 .