Michael Fielding Barnsley

Superfractals

• Gebundenes Buch

Produktbeschreibung

SuperFractals is about a new kind of geometry and this book explains clearly and accessibly how it is born from a union of randomness, geometry and computation. Mathematical ideas are explained and illustrated through a profusion of full-colour images. Potential applications are explored: for example, SuperFractals enable a vast improvement in terms of texture and variety than conventional computer graphics methods currently used in games and films; they may lead to insights in economics, science, medical imaging and biology; they will have application for image and signal compression.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 464
• Erscheinungstermin: 20. Mai 2013
• Englisch
• Abmessung: 250mm x 175mm x 29mm
• Gewicht: 1084g
• ISBN-13: 9780521844932
• ISBN-10: 0521844932
• Artikelnr.: 20911266

Autorenporträt

Michael Barnsley is a Professor at the Mathematical Sciences Institute, Australian National University.

Inhaltsangabe

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.

Rezensionen

'Overall, SuperFractals would be a superb addition to the bookshelves of any scientists who use fractal analysis techniques in their research, be they physicist, biologist or economist. The author concludes by promising that the introduction of superfractals will revolutionize the way mathematics, physics, biology and art are combined, to produce a unified description of the complex world in which we live. After reading this book I have no doubt he is correct.' J. R. Mureika, Nature