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Cover: 9780521844932 | Superfractals | Michael Barnsley | Buch | Englisch | 2013
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Superfractals
Buch von Michael Barnsley
Sprache: Englisch

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Beschreibung
Superfractals is the long-awaited 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 brings the story up to date by explaining how IFS have developed in order to address this issue. New 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.
Superfractals is the long-awaited 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 brings the story up to date by explaining how IFS have developed in order to address this issue. New 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.
Über den Autor
Michael Barnsley is a Professor at the Mathematical Sciences Institute, Australian National University.
Inhaltsverzeichnis
Part I. Geometries and Transformations: 1. Codes, metrics and topologies; 2. Transformations of points, sets, pictures and measures; 3. Semigroups on sets, measures and pictures; Part II. Iterated Function Systems: 4. IFS acting on measures; 5. More on IFS; Part III. Applications to Graphics: 6. Digital content production; 7. Image compression; 8. Super IFS.
Details
Erscheinungsjahr: 2013
Genre: Importe
Rubrik: Wissenschaften
Medium: Buch
ISBN-13: 9780521844932
ISBN-10: 0521844932
Sprache: Englisch
Einband: Gebunden
Autor: Barnsley, Michael
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 250 x 175 x 29 mm
Von/Mit: Michael Barnsley
Erscheinungsdatum: 20.05.2013
Gewicht: 0,974 kg
Artikel-ID: 102198485
Über den Autor
Michael Barnsley is a Professor at the Mathematical Sciences Institute, Australian National University.
Inhaltsverzeichnis
Part I. Geometries and Transformations: 1. Codes, metrics and topologies; 2. Transformations of points, sets, pictures and measures; 3. Semigroups on sets, measures and pictures; Part II. Iterated Function Systems: 4. IFS acting on measures; 5. More on IFS; Part III. Applications to Graphics: 6. Digital content production; 7. Image compression; 8. Super IFS.
Details
Erscheinungsjahr: 2013
Genre: Importe
Rubrik: Wissenschaften
Medium: Buch
ISBN-13: 9780521844932
ISBN-10: 0521844932
Sprache: Englisch
Einband: Gebunden
Autor: Barnsley, Michael
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 250 x 175 x 29 mm
Von/Mit: Michael Barnsley
Erscheinungsdatum: 20.05.2013
Gewicht: 0,974 kg
Artikel-ID: 102198485
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