Differential Geometry in Array Processing

Differential Geometry in Array Processing

Author: Athanassios Manikas

Publisher: Imperial College Press

Published: 2004

Total Pages: 234

ISBN-13: 9781860944239

DOWNLOAD EBOOK

In view of the significance of the array manifold in array processing and array communications, the role of differential geometry as an analytical tool cannot be overemphasized. Differential geometry is mainly confined to the investigation of the geometric properties of manifolds in three-dimensional Euclidean space R3 and in real spaces of higher dimension.Extending the theoretical framework to complex spaces, this invaluable book presents a summary of those results of differential geometry which are of practical interest in the study of linear, planar and three-dimensional array geometries.


Book Synopsis Differential Geometry in Array Processing by : Athanassios Manikas

Download or read book Differential Geometry in Array Processing written by Athanassios Manikas and published by Imperial College Press. This book was released on 2004 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: In view of the significance of the array manifold in array processing and array communications, the role of differential geometry as an analytical tool cannot be overemphasized. Differential geometry is mainly confined to the investigation of the geometric properties of manifolds in three-dimensional Euclidean space R3 and in real spaces of higher dimension.Extending the theoretical framework to complex spaces, this invaluable book presents a summary of those results of differential geometry which are of practical interest in the study of linear, planar and three-dimensional array geometries.


Issues in Acoustic Signal — Image Processing and Recognition

Issues in Acoustic Signal — Image Processing and Recognition

Author: C. H. Chen

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 332

ISBN-13: 3642820026

DOWNLOAD EBOOK

The NATO Advanced Research Workshop on Issues in Acoustic Signal/Image Processing and Recognition was held August 5-9, 1982 at the Cappuccini complex in San Miniato Italy. The Workshop was primarily concerned with the underwater acoustic signal processing and seismic signal analysis and a major effort was made to link these topics with pattern recognition, i~ge processing and artificial intelligence. Major issues and new approaches in these interrelated areas were closely examined in the Workshop. In addition to paper presentations three discussion sessions were held on! (1) spectral analysis in underwater acoustics, (2) seismic wave propaga tion, seismic imaging and migration, and seismic inversion, and (3) unresolved issues and future directions. This Proceedings volume includes most presentations made at the Workshop. The publication, like the meeting itself, is unique in the sense that it provides exten sive interactions among the closely related areas stated above. Such interactions which usually result in the integration of different systems or approaches are certainly much needed to achieve some performance breakthrough while individual systems or approaches reach their performance limit. I am grateful to all participants for their active participation that makes the Workshop very productive, and to Dr. Lewis J. Lloyd and Dr. Ralph Goodman for their help to arrange an informative visit to the SACLANT ASW Research Centre for the Workshop participants. I am confident that this publication will be equally produc tive to report important current research results and near-future research activity particularly in underwater acoustic signal processing.


Book Synopsis Issues in Acoustic Signal — Image Processing and Recognition by : C. H. Chen

Download or read book Issues in Acoustic Signal — Image Processing and Recognition written by C. H. Chen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Research Workshop on Issues in Acoustic Signal/Image Processing and Recognition was held August 5-9, 1982 at the Cappuccini complex in San Miniato Italy. The Workshop was primarily concerned with the underwater acoustic signal processing and seismic signal analysis and a major effort was made to link these topics with pattern recognition, i~ge processing and artificial intelligence. Major issues and new approaches in these interrelated areas were closely examined in the Workshop. In addition to paper presentations three discussion sessions were held on! (1) spectral analysis in underwater acoustics, (2) seismic wave propaga tion, seismic imaging and migration, and seismic inversion, and (3) unresolved issues and future directions. This Proceedings volume includes most presentations made at the Workshop. The publication, like the meeting itself, is unique in the sense that it provides exten sive interactions among the closely related areas stated above. Such interactions which usually result in the integration of different systems or approaches are certainly much needed to achieve some performance breakthrough while individual systems or approaches reach their performance limit. I am grateful to all participants for their active participation that makes the Workshop very productive, and to Dr. Lewis J. Lloyd and Dr. Ralph Goodman for their help to arrange an informative visit to the SACLANT ASW Research Centre for the Workshop participants. I am confident that this publication will be equally produc tive to report important current research results and near-future research activity particularly in underwater acoustic signal processing.


Differential Geometry

Differential Geometry

Author: Heinrich Walter Guggenheimer

Publisher: Courier Dover Publications

Published: 1963

Total Pages: 388

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis Differential Geometry by : Heinrich Walter Guggenheimer

Download or read book Differential Geometry written by Heinrich Walter Guggenheimer and published by Courier Dover Publications. This book was released on 1963 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Classical and Modern Direction-of-Arrival Estimation

Classical and Modern Direction-of-Arrival Estimation

Author: T. Engin Tuncer

Publisher: Academic Press

Published: 2009-07-27

Total Pages: 464

ISBN-13:

DOWNLOAD EBOOK

Brings together in one book classical and modern DOA techniques, showing the connections between them. Contains contributions from the leading people in the field. Gives a concise and easy- to- read introduction to the classical techniques Evaluates the strengths and weaknesses of key super-resolution techniques. Includes applications to sensor networks Classical and Modern Direction of Arrival Estimation, contains both theory and practice of direction finding by the leading researchers in the field. This unique blend of ...


Book Synopsis Classical and Modern Direction-of-Arrival Estimation by : T. Engin Tuncer

Download or read book Classical and Modern Direction-of-Arrival Estimation written by T. Engin Tuncer and published by Academic Press. This book was released on 2009-07-27 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brings together in one book classical and modern DOA techniques, showing the connections between them. Contains contributions from the leading people in the field. Gives a concise and easy- to- read introduction to the classical techniques Evaluates the strengths and weaknesses of key super-resolution techniques. Includes applications to sensor networks Classical and Modern Direction of Arrival Estimation, contains both theory and practice of direction finding by the leading researchers in the field. This unique blend of ...


Differential Geometry and Its Applications

Differential Geometry and Its Applications

Author: John Oprea

Publisher: MAA

Published: 2007-09-06

Total Pages: 508

ISBN-13: 9780883857489

DOWNLOAD EBOOK

This book studies the differential geometry of surfaces and its relevance to engineering and the sciences.


Book Synopsis Differential Geometry and Its Applications by : John Oprea

Download or read book Differential Geometry and Its Applications written by John Oprea and published by MAA. This book was released on 2007-09-06 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the differential geometry of surfaces and its relevance to engineering and the sciences.


Polygon Mesh Processing

Polygon Mesh Processing

Author: Mario Botsch

Publisher: CRC Press

Published: 2010-10-07

Total Pages: 244

ISBN-13: 1568814267

DOWNLOAD EBOOK

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.


Book Synopsis Polygon Mesh Processing by : Mario Botsch

Download or read book Polygon Mesh Processing written by Mario Botsch and published by CRC Press. This book was released on 2010-10-07 with total page 244 pages. 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.


Complex Differential Geometry

Complex Differential Geometry

Author: Fangyang Zheng

Publisher: American Mathematical Soc.

Published: 2000

Total Pages: 275

ISBN-13: 0821829602

DOWNLOAD EBOOK

Discusses the differential geometric aspects of complex manifolds. This work contains standard materials from general topology, differentiable manifolds, and basic Riemannian geometry. It discusses complex manifolds and analytic varieties, sheaves and holomorphic vector bundles. It also gives a brief account of the surface classification theory.


Book Synopsis Complex Differential Geometry by : Fangyang Zheng

Download or read book Complex Differential Geometry written by Fangyang Zheng and published by American Mathematical Soc.. This book was released on 2000 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the differential geometric aspects of complex manifolds. This work contains standard materials from general topology, differentiable manifolds, and basic Riemannian geometry. It discusses complex manifolds and analytic varieties, sheaves and holomorphic vector bundles. It also gives a brief account of the surface classification theory.


Mathematical Reviews

Mathematical Reviews

Author:

Publisher:

Published: 2007

Total Pages: 756

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Classical and Discrete Differential Geometry

Classical and Discrete Differential Geometry

Author: David Xianfeng Gu

Publisher: CRC Press

Published: 2023-01-31

Total Pages: 690

ISBN-13: 1000804461

DOWNLOAD EBOOK

This book introduces differential geometry and cutting-edge findings from the discipline by incorporating both classical approaches and modern discrete differential geometry across all facets and applications, including graphics and imaging, physics and networks. With curvature as the centerpiece, the authors present the development of differential geometry, from curves to surfaces, thence to higher dimensional manifolds; and from smooth structures to metric spaces, weighted manifolds and complexes, and to images, meshes and networks. The first part of the book is a differential geometric study of curves and surfaces in the Euclidean space, enhanced while the second part deals with higher dimensional manifolds centering on curvature by exploring the various ways of extending it to higher dimensional objects and more general structures and how to return to lower dimensional constructs. The third part focuses on computational algorithms in algebraic topology and conformal geometry, applicable for surface parameterization, shape registration and structured mesh generation. The volume will be a useful reference for students of mathematics and computer science, as well as researchers and engineering professionals who are interested in graphics and imaging, complex networks, differential geometry and curvature.


Book Synopsis Classical and Discrete Differential Geometry by : David Xianfeng Gu

Download or read book Classical and Discrete Differential Geometry written by David Xianfeng Gu and published by CRC Press. This book was released on 2023-01-31 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces differential geometry and cutting-edge findings from the discipline by incorporating both classical approaches and modern discrete differential geometry across all facets and applications, including graphics and imaging, physics and networks. With curvature as the centerpiece, the authors present the development of differential geometry, from curves to surfaces, thence to higher dimensional manifolds; and from smooth structures to metric spaces, weighted manifolds and complexes, and to images, meshes and networks. The first part of the book is a differential geometric study of curves and surfaces in the Euclidean space, enhanced while the second part deals with higher dimensional manifolds centering on curvature by exploring the various ways of extending it to higher dimensional objects and more general structures and how to return to lower dimensional constructs. The third part focuses on computational algorithms in algebraic topology and conformal geometry, applicable for surface parameterization, shape registration and structured mesh generation. The volume will be a useful reference for students of mathematics and computer science, as well as researchers and engineering professionals who are interested in graphics and imaging, complex networks, differential geometry and curvature.


A Comprehensive Introduction to Differential Geometry

A Comprehensive Introduction to Differential Geometry

Author: Michael Spivak

Publisher:

Published: 1979

Total Pages: 702

ISBN-13:

DOWNLOAD EBOOK


Book Synopsis A Comprehensive Introduction to Differential Geometry by : Michael Spivak

Download or read book A Comprehensive Introduction to Differential Geometry written by Michael Spivak and published by . This book was released on 1979 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: