000			02893nam a22003618i 4500
001			CR9780511721588
003			UkCbUP
005			20200124160240.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100303s2007||||enk o ||1 0|eng|d
020			_a9780511721588 (ebook)
020			_z9780521875929 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA224 _b.L35 2007
082	0	4	_a511.422 _222
100	1		_aLai, Ming-Jun, _eauthor.
245	1	0	_aSpline functions on triangulations / _cMing-Jun Lai and Larry L. Schumaker.
264		1	_aCambridge : _bCambridge University Press, _c2007.
300			_a1 online resource (xv, 592 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 110
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aBivariate polynomials -- Bernstein-Bézier methods for bivariate polynomials -- B-patches -- Triangulations and quadrangulations -- Bernstein-Bézier methods for Spline spaces -- C¹ macro-element spaces -- C² macro-element spaces -- Cr macro-element spaces -- Dimension of Spline spaces -- Approimation power of Spline spaces -- Stable local minimal determining sets -- Bivariate box Splines -- Spherical Splines -- Approximation power of spherical Splines -- Trivariate polynomials -- Tetrahedral partitions -- Trivariate Splines -- Trivariate macro-element spaces.
520			_aSpline functions are universally recognized as highly effective tools in approximation theory, computer-aided geometric design, image analysis, and numerical analysis. The theory of univariate splines is well known but this text is the first comprehensive treatment of the analogous bivariate theory. A detailed mathematical treatment of polynomial splines on triangulations is outlined, providing a basis for developing practical methods for using splines in numerous application areas. The detailed treatment of the Bernstein-Bézier representation of polynomials will provide a valuable source for researchers and students in CAGD. Chapters on smooth macro-element spaces will allow engineers and scientists using the FEM method to solve partial differential equations numerically with new tools. Workers in the geosciences will find new tools for approximation and data fitting on the sphere. Ideal as a graduate text in approximation theory, and as a source book for courses in computer-aided geometric design or in finite-element methods.
650		0	_aSpline theory.
700	1		_aSchumaker, Larry L., _d1939- _eauthor.
776	0	8	_iPrint version: _z9780521875929
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 110.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511721588
999			_c518466 _d518464