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008			150903s2010 xxk| o |||| 0|eng d
020			_a9781849962902 _99781849962902
024	7		_a10.1007/9781849962902 _2doi
035			_avtls000344683
039		9	_a201509030404 _bVLOAD _c201405050310 _dVLOAD _y201402061303 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aTA1637-1638
100	1		_aGrady, Leo J. _eautor _9322354
245	1	0	_aDiscrete Calculus : _bApplied Analysis on Graphs for Computational Science / _cby Leo J. Grady, Jonathan R. Polimeni.
264		1	_aLondon : _bSpringer London : _bImprint: Springer, _c2010.
300			_axvI, 366 páginas _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aDiscrete Calculus: History and Future -- Discrete Calculus: History and Future -- A Brief Review of Discrete Calculus -- to Discrete Calculus -- Circuit Theory and Other Discrete Physical Models -- Applications of Discrete Calculus -- Building a Weighted Complex from Data -- Filtering on Graphs -- Clustering and Segmentation -- Manifold Learning and Ranking -- Measuring Networks.
520			_aThe field of discrete calculus, also known as "discrete exterior calculus", focuses on finding a proper set of definitions and differential operators that make it possible to operate the machinery of multivariate calculus on a finite, discrete space. In contrast to traditional goals of finding an accurate discretization of conventional multivariate calculus, discrete calculus establishes a separate, equivalent calculus that operates purely in the discrete space without any reference to an underlying continuous process. This unique text brings together into a single framework current research in the three areas of discrete calculus, complex networks, and algorithmic content extraction. Although there have been a few intersections in the literature between these disciplines, they have developed largely independently of one another, yet researchers working in any one of these three areas can strongly benefit from the tools and techniques being used in the others. Many example applications from several fields of computational science are provided to demonstrate the usefulness of this framework to a broad range of problems. Readers are assumed to be familiar with the basics of vector calculus, graph theory, and linear algebra. Topics and features: Presents a thorough review of discrete calculus, with a focus on key concepts required for successful application Unifies many standard image processing algorithms into a common framework for viewing a wide variety of standard algorithms in filtering, clustering, and manifold learning that may be applied to processing data associated with a graph or network Explains how discrete calculus provides a natural definition of "low-frequency" on a graph, which then yields filtering and denoising algorithms Discusses how filtering algorithms can give rise to clustering algorithms, which can be used to develop manifold learning and data discovery methods Examines ranking algorithms, as well as algorithms for analyzing the structure of a network Graduate students and researchers interested in discrete calculus, complex networks, image processing and computer graphics will find this text/reference a clear introduction to the foundations of discrete calculus as well as a useful guide to have readily available for their work. Dr. Leo J. Grady is a Senior Research Scientist with Siemens Corporate Research in Princeton, New Jersey, USA. Dr. Jonathan R. Polimeni is a Research Fellow at the Massachusetts General Hospital in Boston, Massachusetts, USA, and Instructor in Radiology at Harvard Medical School, Boston, Massachusetts, USA.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700	1		_aPolimeni, Jonathan R. _eautor _9322355
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9781849962896
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-84996-290-2 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c291185 _d291185