Fractal Surfaces

John C. Russ

ISBN 10: 0306447029 / ISBN 13: 9780306447020

Verlag: Plenum Press, 1994

Beschreibung

Hardcover, x + 309 pages + two 3.5" diskettes in back pocket, numerous b&w illustrations in text. Ex-foreign university library, marked "ausgesondert"; ownership & catalogue markings on the reverse of title page and inside the front board (covered with a blank sticker). Missing the front blank endpaper (torn out); a small edge-nick to the bottom of title page; a gentle crease in lower inner corners of pages. Interior is clean, bright, untanned, with unmarked text, securely bound. Shelfworn boards show scuffing to edges, rubbed tips of outer corners, a touch of sunning. Issued without a dust jacket. -- The author integrates discussions of fractal geometry, surface modeling techniques, and applications to real world problems to provide a comprehensive, accessible overview of the field. His work will equip researchers with the basic tools for measurement and interpretation of data, stimulating more work on these problems and, perhaps, leading to an understanding of the reasons that Nature has adopted this geometry to shape much of our world. -- Contents: 1. Introduction [A Little History; Classes of Fractal Surfaces; Monster Curves; Random Fractals; Dusts; Zerosets; Korcak Islands; Deposited Surfaces; Pore Structures; L-Systems]; 2. Measuring the Fractal Dimension of Boundary Lines [Richardson Plots; Using a Computer; Digitized Images; Mosaic Amalgamation and the Kolmogorov Dimension; Minkowski Sausage; Implementation with the Euclidean Distance Transform; Fitting Lines to Data; Other Methods; Comparison of Dimensions]; 3. The Relationship between Boundary Lines and Surfaces [Analogies; Direct Methods; Zerosets; Dimensional Analysis; Minkowski Comforter; Data Formats; Effects of Noise; Simulated Noise]; 4. Hurst and Fourier Analysis [Time-Based Data; Hurst Plot; Fractal Brownian Motion; Elevation Profiles; Hurst Analysis of Range Images; Hurst Orientation Transform; Fourier Analysis; Fourier Analysis of Boundary Lines; White and 1/f Noise; Fourier Analysis in Two Dimensions; Anisotropy; Characterizing the Magnitude of the Roughness; Topothesy]; 5. Light Reflection and Scattering [Visual Appearance; Fractal Brownian Profiles; Electrons, Radar, etc.; Local Texture Measurement; Brightness Patterns from Rough Surfaces; Relating the Surface and Brightness Dimensions; Light Scattering; Scattering of Diffuse Light from Rough Surfaces; Range Measurement Methods; Range Images and Surface Parameters]; 6. Modeling Fractal Profiles and Surfaces [Fractal Profiles; Particle Aggregation; Deposited Surfaces; Modeling a Fractal Surface; Fractal Brownian Surfaces; Mandelbrot-Weierstrass Functions; Comparing Models and Measurements; Takagi Functions; Weak and Strong Anisotropy; Modeling an Anisotropic Surface]; 7. Mixed Fractals [Limited Self-Similarity; Kaye's Definition; Simulating the Projection; Vicsek's Fat Fractal; Mixed Fractals; Mandelbrot Conjectures; Measurement of Fractal Dimensions; Addition of Fractals; Variation with Scale; Splicing Fractals Together; Directionality; Tentative Conclusions]; 8. Examples of Fractal Surfaces [Brittle Fracture; Machining and Wear; Deposited Surfaces; Pore Networks; Other Surface Applications; Very Flat Surfaces I: Interferometry; Very Flat Surfaces II: Atomic Force Microscopy]; References; Appendix; Index.

Bestandsnummer des Verkäufers 006470

Bibliografische Details

• Titel: Fractal Surfaces
• Verlag: Plenum Press
• Erscheinungsjahr: 1994
• Sprache: Englisch
• ISBN-10: 0306447029
• ISBN-13: 9780306447020
• Einband: Hardcover
• Zustand: Good

Über diesen Titel

Inhaltsangabe

The author integrates discussions of fractal geometry, surface modeling techniques, and applications to real world problems to provide a comprehensive, accessible overview of the field. His work will equip researchers with the basic tools for measurement and interpretation of data, stimulating more work on these problems and, perhaps, leading to an understanding of the reasons that Nature has adopted this geometry to shape much of our world.

Críticas

'Interesting, informative, and clearly written. It is well and amply illustrated...The computer discs provide entertaining illustrations and exercises...a good, solid presentation of a useful, interesting, ubiquitous subject.'
Mathematical Reviews