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Numerical Geometry of Non-Rigid Shapes

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Release : 2008-09-18
Genre : Computers
Kind : eBook
Book Rating : 019/5 ( reviews)

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Book Synopsis Numerical Geometry of Non-Rigid Shapes by : Alexander M. Bronstein

Download or read book Numerical Geometry of Non-Rigid Shapes written by Alexander M. Bronstein. This book was released on 2008-09-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Numerical Geometry of Non-rigid Objects : Embedding Problems

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Author :
Release : 2007
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Numerical Geometry of Non-rigid Objects : Embedding Problems by : Alexander Bronstein

Download or read book Numerical Geometry of Non-rigid Objects : Embedding Problems written by Alexander Bronstein. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Algorithms

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Release : 2015-06-24
Genre : Computers
Kind : eBook
Book Rating : 892/5 ( reviews)

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Book Synopsis Numerical Algorithms by : Justin Solomon

Download or read book Numerical Algorithms written by Justin Solomon. This book was released on 2015-06-24. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

Polygon Mesh Processing

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Release : 2010-10-07
Genre : Computers
Kind : eBook
Book Rating : 267/5 ( reviews)

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Book Synopsis Polygon Mesh Processing by : Mario Botsch

Download or read book Polygon Mesh Processing written by Mario Botsch. This book was released on 2010-10-07. Available in PDF, EPUB and Kindle. Book excerpt: Geometry processing, or mesh processing, is a fast-growing area of research that uses concepts from applied mathematics, computer science, and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulation, and transmission of complex 3D models. Applications of geometry processing algorithms already cover a wide range of areas from multimedia, entertainment, and classical computer-aided design, to biomedical computing, reverse engineering, and scientific computing. Over the last several years, triangle meshes have become increasingly popular, as irregular triangle meshes have developed into a valuable alternative to traditional spline surfaces. This book discusses the whole geometry processing pipeline based on triangle meshes. The pipeline starts with data input, for example, a model acquired by 3D scanning techniques. This data can then go through processes of error removal, mesh creation, smoothing, conversion, morphing, and more. The authors detail techniques for those processes using triangle meshes. A supplemental website contains downloads and additional information.

Spectral Geometry of Shapes

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Release : 2020-01-15
Genre : Computers
Kind : eBook
Book Rating : 424/5 ( reviews)

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Book Synopsis Spectral Geometry of Shapes by : Jing Hua

Download or read book Spectral Geometry of Shapes written by Jing Hua. This book was released on 2020-01-15. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Geometry of Shapes presents unique shape analysis approaches based on shape spectrum in differential geometry. It provides insights on how to develop geometry-based methods for 3D shape analysis. The book is an ideal learning resource for graduate students and researchers in computer science, computer engineering and applied mathematics who have an interest in 3D shape analysis, shape motion analysis, image analysis, medical image analysis, computer vision and computer graphics. 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, hence the need for this comprehensive resource. 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, thus 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

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