000			02340nam a22003498i 4500
001			CR9781107590168
003			UkCbUP
005			20200124160300.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			131021s2006||||enk o ||1 0|eng|d
020			_a9781107590168 (ebook)
020			_z9780521844932 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA614.86 _b.B375 2006
082	0	4	_a514.742 _222
100	1		_aBarnsley, M. F. _q(Michael Fielding), _d1946- _eauthor.
245	1	0	_aSuperfractals / _cMichael Fielding Barnsley.
264		1	_aCambridge : _bCambridge University Press, _c2006.
300			_a1 online resource (ix, 453 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aCodes, metrics and topologies -- Transformations of points, sets, pictures and measures -- Semigroups on sets, measures and pictures -- Hyperbolic IFSs, attractors and fractal tops -- Superfractals.
520			_aSuperFractals, first published in 2006, is the successor to Fractals Everywhere, in which the power and beauty of Iterated Function Systems were introduced and applied to producing startling and original images that reflect complex structures found for example in nature. This provoked the question of whether there is a deeper connection between topology, geometry, IFS and codes on the one hand and biology, DNA and protein development on the other. Now, 20 years later, Barnsley explains how IFS have developed in order to address this issue. Ideas such as fractal tops and superIFS are introduced, and the classical deterministic approach is combined with probabilistic ideas to produce new mathematics and algorithms that open a whole theory that could have applications in computer graphics, bioinformatics, economics, signal processing and beyond. For the first time these ideas are explained in book form, and illustrated with breathtaking pictures.
650		0	_aFractals.
650		0	_aComputer graphics _xMathematics.
650		0	_aImage processing _xDigital techniques _xMathematics.
776	0	8	_iPrint version: _z9780521844932
856	4	0	_uhttps://doi.org/10.1017/CBO9781107590168
999			_c520255 _d520253