Differential Geometry in Array Processing

Differential Geometry in Array Processing PDF Author: Athanassios Manikas
Publisher: Imperial College Press
ISBN: 9781860944239
Category : Mathematics
Languages : en
Pages : 234

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Book Description
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.

Differential Geometry in Array Processing

Differential Geometry in Array Processing PDF Author: Athanassios Manikas
Publisher: Imperial College Press
ISBN: 9781860944239
Category : Mathematics
Languages : en
Pages : 234

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Book Description
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 PDF Author: C. H. Chen
Publisher: Springer Science & Business Media
ISBN: 3642820026
Category : Computers
Languages : en
Pages : 332

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Book Description
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 PDF Author: Heinrich Walter Guggenheimer
Publisher: Courier Dover Publications
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 388

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Polygon Mesh Processing

Polygon Mesh Processing PDF Author: Mario Botsch
Publisher: CRC Press
ISBN: 1568814267
Category : Computers
Languages : en
Pages : 244

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Book Description
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.

Classical and Modern Direction-of-Arrival Estimation

Classical and Modern Direction-of-Arrival Estimation PDF Author: T. Engin Tuncer
Publisher: Academic Press
ISBN:
Category : Science
Languages : en
Pages : 464

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Book Description
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 ...

Audio Signal Processing for Next-Generation Multimedia Communication Systems

Audio Signal Processing for Next-Generation Multimedia Communication Systems PDF Author: Yiteng (Arden) Huang
Publisher: Springer Science & Business Media
ISBN: 1402077696
Category : Technology & Engineering
Languages : en
Pages : 375

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Book Description
Audio Signal Processing for Next-Generation Multimedia Communication Systems presents cutting-edge digital signal processing theory and implementation techniques for problems including speech acquisition and enhancement using microphone arrays, new adaptive filtering algorithms, multichannel acoustic echo cancellation, sound source tracking and separation, audio coding, and realistic sound stage reproduction. This book's focus is almost exclusively on the processing, transmission, and presentation of audio and acoustic signals in multimedia communications for telecollaboration where immersive acoustics will play a great role in the near future.

Differential Geometry and Its Applications

Differential Geometry and Its Applications PDF Author: John Oprea
Publisher: MAA
ISBN: 9780883857489
Category : Mathematics
Languages : en
Pages : 508

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

Modern Differential Geometry for Physicists

Modern Differential Geometry for Physicists PDF Author: Chris J Isham
Publisher: World Scientific Publishing Company
ISBN: 9813102969
Category : Science
Languages : en
Pages : 304

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Book Description
This edition of the invaluable text Modern Differential Geometry for Physicists contains an additional chapter that introduces some of the basic ideas of general topology needed in differential geometry. A number of small corrections and additions have also been made. These lecture notes are the content of an introductory course on modern, coordinate-free differential geometry which is taken by first-year theoretical physics PhD students, or by students attending the one-year MSc course “Quantum Fields and Fundamental Forces” at Imperial College. The book is concerned entirely with mathematics proper, although the emphasis and detailed topics have been chosen bearing in mind the way in which differential geometry is applied these days to modern theoretical physics. This includes not only the traditional area of general relativity but also the theory of Yang-Mills fields, nonlinear sigma models and other types of nonlinear field systems that feature in modern quantum field theory. The volume is divided into four parts: (i) introduction to general topology; (ii) introductory coordinate-free differential geometry; (iii) geometrical aspects of the theory of Lie groups and Lie group actions on manifolds; (iv) introduction to the theory of fibre bundles. In the introduction to differential geometry the author lays considerable stress on the basic ideas of “tangent space structure”, which he develops from several different points of view — some geometrical, others more algebraic. This is done with awareness of the difficulty which physics graduate students often experience when being exposed for the first time to the rather abstract ideas of differential geometry.

Complex Differential Geometry

Complex Differential Geometry PDF Author: Fangyang Zheng
Publisher: American Mathematical Soc.
ISBN: 0821829602
Category : Complex manifolds
Languages : en
Pages : 275

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Book Description
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 PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 756

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Book Description