Different Faces of Geometry

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Release : 2006-04-11
Genre : Mathematics
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Book Rating : 58X/5 ( reviews)

Different Faces of Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Different Faces of Geometry write by Simon Donaldson. This book was released on 2006-04-11. Different Faces of Geometry available in PDF, EPUB and Kindle. Different Faces of Geometry - edited by the world renowned geometers S. Donaldson, Ya. Eliashberg, and M. Gromov - presents the current state, new results, original ideas and open questions from the following important topics in modern geometry: These apparently diverse topics have a common feature in that they are all areas of exciting current activity. The Editors have attracted an impressive array of leading specialists to author chapters for this volume: G. Mikhalkin (USA-Canada-Russia), V.D. Milman (Israel) and A.A. Giannopoulos (Greece), C. LeBrun (USA), Ko Honda (USA), P. Ozsvath (USA) and Z. Szabo (USA), C. Simpson (France), D. Joyce (UK) and P. Seidel (USA), and S. Bauer (Germany). One can distinguish various themes running through the different contributions. There is some emphasis on invariants defined by elliptic equations and their applications in low-dimensional topology, symplectic and contact geometry (Bauer, Seidel, Ozsvath and Szabo). These ideas enter, more tangentially, in the articles of Joyce, Honda and LeBrun.Here and elsewhere, as well as explaining the rapid advances that have been made, the articles convey a wonderful sense of the vast areas lying beyond our current understanding. Simpson's article emphasizes the need for interesting new constructions (in that case of Kahler and algebraic manifolds), a point which is also made by Bauer in the context of 4-manifolds and the 11/8 conjecture. LeBrun's article gives another perspective on 4-manifold theory, via Riemannian geometry, and the challenging open questions involving the geometry of even well-known 4-manifolds. There are also striking contrasts between the articles. The authors have taken different approaches: for example, the thoughtful essay of Simpson, the new research results of LeBrun and the thorough expositions with homework problems of Honda. One can also ponder the differences in the style of mathematics. In the articles of Honda, Giannopoulos and Milman, and Mikhalkin, the geometry is present in a very vivid and tangible way; combining respectively with topology, analysis and algebra.The papers of Bauer and Seidel, on the other hand, makes the point that algebraic and algebro-topological abstraction (triangulated categories, spectra) can play an important role in very unexpected ways in concrete geometric problems. - From the Preface by the Editors

Faces of Geometry

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Release : 2021-04-03
Genre : Mathematics
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Book Rating : 026/5 ( reviews)

Faces of Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Faces of Geometry write by Paola Magnaghi-Delfino. This book was released on 2021-04-03. Faces of Geometry available in PDF, EPUB and Kindle. The volume reports on interdisciplinary discussions and interactions between theoretical research and practical studies on geometric structures and their applications in architecture, the arts, design, education, engineering, and mathematics. These related fields of research can enrich each other and renew their mutual interest in these topics through networks of shared inspiration, and can ultimately enhance the quality of geometry and graphics education. Particular attention is dedicated to the contributions that women have made to the scientific community and especially mathematics. The book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.

Face Geometry and Appearance Modeling

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Release : 2011-04-18
Genre : Computers
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Book Rating : 878/5 ( reviews)

Face Geometry and Appearance Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Face Geometry and Appearance Modeling write by Zicheng Liu. This book was released on 2011-04-18. Face Geometry and Appearance Modeling available in PDF, EPUB and Kindle. Human faces are familiar to our visual systems. We easily recognize a person's face in arbitrary lighting conditions and in a variety of poses; detect small appearance changes; and notice subtle expression details. Can computer vision systems process face images as well as human vision systems can? Face image processing has potential applications in surveillance, image and video search, social networking and other domains. A comprehensive guide to this fascinating topic, this book provides a systematic description of modeling face geometry and appearance from images, including information on mathematical tools, physical concepts, image processing and computer vision techniques, and concrete prototype systems. The book will be an excellent reference for researchers and graduate students in computer vision, computer graphics and multimedia, as well as application developers who would like to gain a better understanding of the state of the art.

Face Geometry and Appearance Modeling

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Release : 2011-04-18
Genre : Computers
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Book Rating : 416/5 ( reviews)

Face Geometry and Appearance Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Face Geometry and Appearance Modeling write by Zicheng Liu. This book was released on 2011-04-18. Face Geometry and Appearance Modeling available in PDF, EPUB and Kindle. Human faces are familiar to our visual systems. We easily recognize a person's face in arbitrary lighting conditions and in a variety of poses; detect small appearance changes; and notice subtle expression details. Can computer vision systems process face images as well as human vision systems can? Face image processing has potential applications in surveillance, image and video search, social networking, and other domains. A comprehensive guide to this fascinating topic, this book provides a systematic description of modeling face geometry and appearance from images, including information on mathematical tools, physical concepts, image processing and computer vision techniques, and concrete prototype systems. The book will be an excellent reference for researchers and graduate students in computer vision, computer graphics, and multimedia as well as application developers who would like to gain a better understanding of the state of the art.

3D Face Processing

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Release : 2004-07-22
Genre : Computers
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Book Rating : 476/5 ( reviews)

3D Face Processing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook 3D Face Processing write by Zhen Wen. This book was released on 2004-07-22. 3D Face Processing available in PDF, EPUB and Kindle. 3D Face Processing: Modeling, Analysis and Synthesis introduces the frontiers of 3D face processing techniques. It reviews existing 3D face processing techniques, including techniques for 3D face geometry modeling; 3D face motion modeling; and 3D face motion tracking and animation. Then it discusses a unified framework for face modeling, analysis and synthesis. In this framework, the authors present new methods for modeling complex natural facial motion, as well as face appearance variations due to illumination and subtle motion. Then the authors apply the framework to face tracking, expression recognition and face avatar for HCI interface. They conclude this book with comments on future work in the 3D face processing framework. 3D Face Processing: Modeling, Analysis and Synthesis will interest those working in face processing for intelligent human computer interaction and video surveillance. It contains a comprehensive survey on existing face processing techniques, which can serve as a reference for students and researchers. It also covers in-depth discussion on face motion analysis and synthesis algorithms, which will benefit more advanced graduate students and researchers.