000			03891nam a22005415i 4500
001			u374551
003			SIRSI
005			20160812084240.0
007			cr nn 008mamaa
008			100825s2010 gw | s |||| 0|eng d
020			_a9783642136481 _9978-3-642-13648-1
040			_cMX-MeUAM
050		4	_aQA76.9.I52
082	0	4	_a004 _223
100	1		_aSabin, Malcolm. _eauthor.
245	1	0	_aAnalysis and Design of Univariate Subdivision Schemes _h[recurso electrónico] / _cby Malcolm Sabin.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
300			_aXIV, 218 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGeometry and Computing, _x1866-6795 ; _v6
505	0		_aPrependices -- Functions and Curves -- Differences -- B-Splines -- Eigenfactorisation -- Enclosures -- Hölder Continuity -- Matrix Norms -- Joint Spectral Radius -- Radix Notation -- z-transforms -- Dramatis Personae -- An introduction to some regularly-appearing characters -- Analyses -- Support -- Enclosure -- Continuity 1 - at Support Ends -- Continuity 2 - Eigenanalysis -- Continuity 3 - Difference Schemes -- Continuity 4 - Difference Eigenanalysis -- Continuity 5 - the Joint Spectral Radius -- What Converges ? -- Reproduction of Polynomials -- Artifacts -- Normalisation of Schemes -- Summary of Analysis Results -- Design -- The Design Space -- Linear Subspaces of the Design Space -- Non-linear Conditions -- Non-Stationary Schemes -- Geometry Sensitive Schemes -- Implementation -- Making Polygons -- Rendering -- Interrogation -- End Conditions -- Modifying the Original Polygon -- Appendices -- Proofs -- Historical Notes -- Solutions to Exercises -- Coda.
520			_aThis book covers the theory of subdivision curves in detail, which is a prerequisite for that of subdivision surfaces. The book reports on the currently known ways of analysing a subdivision scheme (i.e. measuring criteria which might be important for the application of a scheme to a given context). It then goes on to consider how those analyses can be used in reverse to design a scheme best matching the particular criteria for a given application. The book is presented in an accessible fashion, even for those whose mathematics is a tool to be used, not a way of life. It should provide the reader with a full and deep understanding of the state-of-the-art in subdivision analysis, and separate sections on mathematical techniques provide revision for those needing it. The book will be of great interest to those starting to do research in CAD/CAE. It will also appeal to those lecturing in this subject and industrial workers implementing these methods. The author has spent his professional life on the numerical representation of shape and his book fills a need for a book covering the fundamental ideas in the simplest possible context, that of curves.
650		0	_aMathematics.
650		0	_aComputer simulation.
650		0	_aComputer graphics.
650		0	_aComputer aided design.
650		0	_aVisualization.
650		0	_aNumerical analysis.
650		0	_aGeometry.
650	1	4	_aMathematics.
650	2	4	_aVisualization.
650	2	4	_aComputer-Aided Engineering (CAD, CAE) and Design.
650	2	4	_aComputer Graphics.
650	2	4	_aSimulation and Modeling.
650	2	4	_aNumerical Analysis.
650	2	4	_aGeometry.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642136474
830		0	_aGeometry and Computing, _x1866-6795 ; _v6
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-13648-1
596			_a19
942			_cLIBRO_ELEC
999			_c202431 _d202431