Spectral Geometry of Shapes - 1st Edition - ISBN: 9780128138427

Spectral Geometry of Shapes

1st Edition

Authors: Jing Hua Zichun Zhong
Paperback ISBN: 9780128138427
Imprint: Academic Press
Published Date: 1st September 2018
Page Count: 195
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Table of Contents

1. Introduction
2. Spectral Geometry Operation
3. Spectral Geometric Features for Shapes
4. Isometric Shape Analysis Using Spectral Geometry
5. Near Isometric Shape Motion Analysis Using Spectral Geometry
6. Non-Isometric Shape Motion Analysis by Variation of Shape Spectrum
7. Machine Learning of Spectral Geometry
8. Conclusions


Description

Due to the rapid advancement of 3D acquisition technologies there has been a big increase in 3D shape data that requires a variety of shape analysis methods. However, traditional 3D shape analyses methods based on Euclidean transformations suffer many variance problems. Spectral geometric processing methods, on the other hand, have the benefit of containing the intrinsic geometric information of a shape as well as revealing relationships across shapes, facilitating 3D shape analyses into a single uniform framework that handles both isometric and nonisometric variations, and which also supports deep learning of shape geometry.

This book presents unique shape analysis approaches based on shape spectrum in differential geometry, providing insight into how to develop geometry-based methods for 3D shape analysis. It will be a very suitable learning resource for graduate students and researchers in computer science and computer engineering and applied mathematics with an interest in 3D shape analysis, shape motion analysis, image analysis, medical image analysis, computer vision and computer graphics.

Key Features

  • Presents the latest advances in spectral geometric processing for 3D shape analysis applications, such as shape classification, shape matching, medical imaging, etc.
  • Provides intuitive links between fundamental geometric theories and real-world applications, bridging the gap between theory and practice
  • Describes new theoretical breakthroughs in applying spectral methods for non-isometric motion analysis
  • Gives insights for developing spectral geometry-based approaches for 3D shape analysis and deep learning of shape geometry
  • Includes C++ code for hands-on experience and to help readers apply the presented methods in real-world applications such as 3D shape retrieval, classification and motion analysis

Readership

Graduate students and researchers in computer science and computer engineering and applied mathematics with an interest in 3D shape analysis, shape motion analysis, image analysis, medical image analysis, computer vision and computer graphics


Details

No. of pages:
195
Copyright:
© Academic Press 2019
Published:
Imprint:
Academic Press
Paperback ISBN:
9780128138427

Ratings and Reviews


About the Authors

Jing Hua Author

Dr. Jing Hua is a Professor of Computer Science and the founding director of Computer Graphics and Imaging Lab (GIL) and Visualization Lab (VIS) at Computer Science at Wayne State University (WSU). He received his Ph.D. degree (2004) in Computer Science from the State University of New York at Stony Brook. He also received his M.S. degree (1999) in Pattern Recognition and Artificial Intelligence from the Institute of Automation, Chinese Academy of Sciences in Beijing, China and his B.S. degree (1996) in Electrical Engineering from the Huazhong University of Science & Technology in Wuhan, China. His research interests include Computer Graphics, Visualization, Image Analysis and Informatics, Computer Vision, etc. He received the Gaheon Award for the Best Paper of International Journal of CAD/CAM in 2009, the Best Paper Award at ACM Solid Modeling 2004, the WSU Faculty Research Award in 2005, the College of Liberal Arts and Sciences Excellence in Teaching Award in 2008, the K. C. Wong Research Award in 2010, and the Best Demo Awards at GENI Engineering Conference 21 (2014) and 23 (2015), respectively.

Affiliations and Expertise

5057 Woodward Ave, Suite 14109.1 Department of Computer Science Wayne State University Detroit, MI 48202

Zichun Zhong Author

Zichun Zhong is Assistant Professor of Computer Science at Wayne State University (WSU) since August 2015. He was a postdoctoral fellow in Department of Radiation Oncology at UT Southwestern Medical Center at Dallas (UTSW) from August 2014 to August 2015. He received Ph.D. degree in Computer Science at The University of Texas at Dallas (UTD) in Summer 2014, a B.S. degree in Computer Science and Technology (Software Engineering) and a M.S. degree in Computer Science in The University of Electronic Science and Technology of China (UESTC) in 2006 and 2009, respectively.

Affiliations and Expertise

5057 Woodward Ave, Suite 14109.2 Department of Computer Science Wayne State University Detroit, MI 48202