06273cam a2200829Ka 4500 ocn827948760 OCoLC 20171107093613.0 m o d cr cnu---unuuu 130218s2012 enka ob 001 0 eng d 9781118603024 (electronic bk.) 1118603028 (electronic bk.) 9781118603178 (electronic bk.) 1118603176 (electronic bk.) 9781118603161 1118603168 9781848213289 184821328X AU@ 000050718710 DEBBG BV041560750 DEBBG BV041829200 DEBBG BV041907971 DEBSZ 431332630 DKDLA 820120-katalog:000732705 NZ1 15915294 (OCoLC)827948760 (OCoLC)827207541 (OCoLC)960203197 (OCoLC)961516216 (OCoLC)962683729 N$T eng pn N$T DG1 YDXCP IDEBK E7B OCLCF EBLCP MHW DEBSZ LVT OCLCQ COO OCLCQ LOA DG1 OCLCQ OCLCO OCLCA MAIN G70.23 .D37 2012eb SCI 030000 bisacsh TRV 033000 bisacsh TRV 034000 bisacsh TRV 016000 bisacsh TRV 018000 bisacsh 910.01/514742 23 RB 10103 rvk Dauphiné, André. Fractal geography / André Dauphiné. [electronic resource] London : ISTE ; Hoboken, NJ : Wiley, ©2012. 1 online resource (xvii, 241 pages) : illustrations. text txt rdacontent computer c rdamedia online resource cr rdacarrier ISTE Includes bibliographical references (pages 221]-238) and index. Cover; Title Page; Copyright Page; Table of Contents; Introduction; Chapter 1. A Fractal World; 1.1. Fractals pervade into geography; 1.1.1. From geosciences to physical geography; 1.1.2. Urban geography: a big beneficiary; 1.2. Forms of fractal processes; 1.2.1. Some fractal forms that make use of the principle of allometry; 1.2.2. Time series and processes are also fractal; 1.2.3. Rank-size rules are generally fractal structures; 1.3. First reflections on the link between power laws and fractals; 1.3.1. Brief introduction into power laws. 1.3.2. Some power laws recognized before the fractal era1.4. Conclusion; Chapter 2. Auto-similar and Self-affine Fractals; 2.1. The rarity of auto-similar terrestrial forms; 2.2. Yet more classes of self-affine fractal forms and processes; 2.2.1. Brownian, fractional Brownian and multi-fractional Brownian motion; 2.2.2. Lévy models; 2.2.3. Four examples of generalizations for simulating realistic forms; 2.3. Conclusion; Chapter 3. From the Fractal Dimension to Multifractal Spectrums; 3.1. Two extensions of the fractal dimension: lacunarity and codimension. 3.1.1. Some territorial textures differentiated by their lacunarity3.1.2. Codimension as a relative fractal dimension; 3.2. Some corrections to the power laws: semifractals, parabolicfractals and log-periodic distributions; 3.2.1. Semifractals and double or truncated Pareto distributions; 3.2.2. The parabolic fractal model; 3.2.3. Log-periodic distributions; 3.3. A routine technique in medical imaging: fractal scanning; 3.4. Multifractals used to describe all the irregularities of a setdefined by measurement; 3.4.1. Definition and characteristics of a multifractal. 3.4.2. Two functions to interpret: generalized dimension spectrumand singularity spectrum3.4.3. An approach that is classical in geosciences but exceptional in social sciences; 3.4.4. Three potential generalizations; 3.5. Conclusion; Chapter 4. Calculation and Interpretation of Fractal Dimensions; 4.1. Test data representing three categories of fractals: black and white maps, grayscale Landsat images and pluviometric chronicle series; 4.2. A first incontrovertible stage: determination of the fractal classof the geographical phenomenon studied. 4.2.1. Successive tests using Fourier or wavelet decompositions4.2.2. Decadal rainfall in Barcelona and Beirut are fractionalGaussian noise; 4.3. Some algorithms for the calculation of the fractal dimensionsof auto-similar objects; 4.3.1. Box counting, information and area measurementdimensions for auto-similar objects; 4.3.2. A geographically inconclusive application from perception; 4.4. The fractal dimensions of objects and self-affine processes; 4.4.1. A multitude of algorithms; 4.4.2. High irregularity of decadal rainfall for Barcelona and Beirut; 4.5. Conclusion. Our daily universe is rough and infinitely diverse. The fractal approach clarifies and orders these disparities. It helps us to envisage new explanations of geographical phenomena, which are, however, considered as definitely understood. Written for use by geographers and researchers from similar disciplines, such as ecologists, economists, historians and sociologists, this book presents the algorithms best adapted to the phenomena encountered, and proposes case studies illustrating their applications in concrete situations. An appendix is also provided that develops programs writ. Print version record. Geography Mathematics. Fractals. Fractals. Geography Mathematics. SCIENCE Earth Sciences Geography. bisacsh TRAVEL Budget. bisacsh TRAVEL Hikes & Walks. bisacsh TRAVEL Museums, Tours, Points of Interest. bisacsh TRAVEL Parks & Campgrounds. bisacsh Fractals. fast (OCoLC)fst00933507 Geography Mathematics. fast (OCoLC)fst00940499 Fraktal gnd Geografie gnd Electronic books. Print version: Dauphiné, André. Fractal geography. London : ISTE ; Hoboken, NJ : Wiley, ©2012 9781848213289 (DLC) 2011040744 (OCoLC)757838233 ISTE. http://onlinelibrary.wiley.com/book/10.1002/9781118603178 Wiley Online Library ddc BK 206449 206449