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- Title: Random Fractals
- Author(s) Peter Morters
- Publisher: University of Bath
- Paperback: N/A
- eBook: PDF
- Language: English
- ASIN/ISBN-10: N/A
- ISBN-13: N/A
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Random Fractals are the method of choice when it comes to modelling landscapes, clouds and other natural phenomena for the purpose of computer image synthesis. This paper describes the fundamentals of random fractals and some of the basic methods for their generation. This includes the midpoint displacement and the spectral synthesis methods as well as a functional-based approach. Methods using stochastic noise synthesis are not covered.
About the Authors- N/A
- Fractal Geometry and Fractals
- Geometry and Topology
- Differential Equations and Dynamical Systems
- Computer Graphics, 3D, Animation and Imaging
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Fractal Geometry: Mathematical Foundations and Applications
This book has become a seminal text on the mathematics of Fractals. It introduces the general mathematical theory and applications of fractals in a way that is accessible to students from a wide range of disciplines.
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A Tale of Two Fractals (A.A. Kirillov)
This book provides an original treatment of Fractals that is at once accessible to beginners and sufficiently rigorous for serious mathematicians. It is designed to give young, non-specialist mathematicians a solid foundation in the theory of fractals.
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Fractal Geometry (Mark McClure, et al.)
Fractal geometry is a new way of looking at the world. This book combines text and graphics to offer the most accessible amount that any reader is likely to find, helping in the overall move toward scientific literacy.
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Fractals in Probability and Analysis (Christopher J. Bishop, et al.)
This is a mathematically rigorous introduction to Fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability. Chapters are designed to be read independently.
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Strange Attractors: Creating Patterns in Chaos (Julien C. Sprott)
This book describes a simple method for generating an endless succession of beautiful Fractal patterns by iterating simple maps and ordinary differential equations with coefficients chosen automatically by the computer.
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Conformal Fractals: Ergodic Theory Methods (Feliks Przytycki, ...)
This is a one-stop introduction to the methods of Ergodic Theory applied to holomorphic iteration. Focus on the field of 1-dimensional holomorphic iterations and underlying Fractal sets, from the point of view of geometric measure theory and rigidity.
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Chaos and Fractals (Larry Bradley)
This book provides the reader with an elementary introduction to Chaos and Fractals, suitable for readers with a background in elementary algebra, without assuming prior coursework in calculus or physics.
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The Fractal Geometry of Nature (Benoit Mandelbrot)
Explore the wondrously complex repeating shapes of the natural world in The Fractal Geometry of Nature. Written in a style that is accessible to a wide audience, computer scientist, professor, mathematician, etc.
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Curves and Surfaces in Geometric Modeling: Theory and Algorithms
This book offers both a theoretically unifying understanding of polynomial curves and surfaces and an effective approach to implementation. It is also an exellent introduction to geometry concepts used in computer graphics, vision, robotics, geometric modeling.
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