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Fractal dimension estimation
Fractal dimension estimation Synopsis of FD3 FD3 is a program that estimates fractal dimension. It was written by John Sarraille and Peter DiFalco, using ideas from "A FAST ALGORITHM TO ... line, and outputs box counts at various scales, plus estimates of capacity, information, and correlation dimension. There are "two-point" estimates of dimension for each scale shift (division of cell size by two), plus overall estimates based on fitting ... ...
http://life.bio.sunysb.edu/morph/fd3.html
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Fractals
... law, i.e., L ~ l D-1 , where D = ln 4/ln 3 = 1.2618... is the so-called fractal dimension of the curve. It is a generalization of the Euclidian dimension which has only nonnegative integer values. A fractal dimension can be any fractional or real number, that's why the name. The fractal dimension of a nonfractal object is identical with its Euclidian dimension. A fractal is an object with a fractal dimension ...
http://monet.physik.unibas.ch/~elmer/pendulum/fractal.htm
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Fractal analysis in geology.
... ore body size. styolite surfaces. dendritic branching. some geomorphic surfaces. The basic equation and the fractal dimension. N n = C / r n **D, where is N n the number of objects with a ... with a negative slope in log-log space. The slope yields the fractal dimension. See your reading for a more complete treatment. Example of coastline "convoluteness" . Cubic island example ... Benoit, 1967, How long is the coast of Britain? Statistical self-similarity and fractional ...
http://maps.unomaha.edu/Maher/GEOL2300/week4/week4.html
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The Fourth Dimension of Life: Fractal Geometry and Allometric Scaling of Organisms -- West et al. 28
... The Fourth Dimension of Life: Fractal Geometry and Allometric Scaling of Organisms -- West et al. 284 (5420): 1677 -- Science Jump to ... 1677 - 1679 DOI: 10.1126/science.284.5420.1677 Prev | Table of Contents Reports The Fourth Dimension of Life: Fractal Geometry and Allometric Scaling of Organisms Geoffrey B. West, 1 2 * James H. Brown, 2 3 ...
http://www.sciencemag.org/cgi/content/abstract/284/5420/1677
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Program
... Geometry of Fractals 09.50-10.20 Coffee break 10.20-11.10 R. I. Grigorchuk (Moscow): From fractal groups to fractal sets 11.30-12.00 M. Zähle: Riesz potentials and Besov spaces on fractals 12.00-14.00 ... in periodic tilings 10.50-11.20 C. Escribaño: A Combinatorial Method to Calculate Local Measure Dimension 11.20-11.50 S. Sastre: Hausdorff Dimension of Self-Similar Measures without the Open Set Condition 11.50-12.20 W. Steiner: Digital ...
http://finanz.math.tu-graz.ac.at/~fractal/program.html
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http://scec.ess.ucla.edu/~ykagan/p2upd_index.html
... 26. Kagan, Y. Y., 1991. Fractal dimension of brittle fracture, J. Nonlinear Sci., 1, 1-16. PDF file, 1.1 Mb TEDI text Fig. 1 ... Geophys. J. Roy. astr. Soc., 62, 303-320. 91. Kagan, Y. Y., 2007. "Earthquake spatial distribution: the correlation dimension
http://scec.ess.ucla.edu/~ykagan/p2upd_index.html
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Journal Papers
... of the difficulties involved in using contours of enclaves to estimate their fractal dimensions, a different approach is used in this paper. Fractal dimension is estimated using distribution maps of chemical elements inside enclaves. The results obtained indicate that a ... mingling is quantified by calculating both the interfacial area (IA) between interacting magmas and the fractal dimension of the reconstructed structures. Results show that the fractal ...
http://www.unipg.it/~diegop/papers/papers_2000_2002.html
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http://tph.tuwien.ac.at/~svozil/publ/1996-absi.pdf
... the combination of
white noise, denoted by I with D.I/ D 1, with a random fractal signal A, results in the
recovery of the original fractal signal with the original dimension; i.e. (5) reduces to
D.A \I/ D D.A/ C D.I/ −1 ... maxf0; n.D − 1/ C 1g: (8)
An immediate consequence of (8) is that, for truly fractal signals .D < 1/, any variation of
the fractal ...
http://tph.tuwien.ac.at/~svozil/publ/1996-absi.pdf
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Analysis of outlines
... By John Sarraille (john@ishi.csustan.edu) and Peter DiFalco. 10/10/95 FracLac FracLac calculates an unadjusted fractal dimension, an average fractal dimension over multiple scans, a slope-corrected dimension, and a most efficient covering dimension. Link gives information about fractals, user instructions and examples. By Audrey Karperien. Version 1.2. 2003 MorphUt Utility ... of a closed shape, shape centroids, chain codes, several types of Fourier analyses, and fractal dimension ...
http://life.bio.sunysb.edu/morph/soft-outlines.html
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Analysis and Visualization of Nonlinear Time Sequences :: Institut für Computergraphik und Algorithm
... delays is then subsequently used for phase-space reconstruction. Important numbers to characterize dynamical systems are fractal dimension and Lyapunov exponents. These concepts are therefore treated as well. A low cost visualization system (AVTS ... delays is then subsequently used for phase-space reconstruction. Important numbers to characterize dynamical systems are fractal dimension and Lyapunov exponents. These concepts are therefore treated as well. A low cost visualization system (AVTS ... contact: technical-report@cg.tuwien.ac.at", month = jan, number = "TR-186-2-96-05", keywords = "Visualization, Time Sequences, Nonlinearity, ...
http://www.cg.tuwien.ac.at/research/publications/1996/groeller-1996-avn/
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IAMG :: Article Browser
IAMG :: Article Browser IAMG Volume 12 [1986] Computers & Geosciences Vol. 12 AN: 86-50973 TI: KALTZ; a BASIC program for simulation of the experimental determination of the phase diagram for the system kalsilite-silica. AU: Amenta-R-V; King-Frazier-C OS: James Madison Univ., Harrisonburg, VA, United-States SO: Computers-and-Geosciences. 12. (1). p. 1-11. 5 Refs. YR: 1986 DE: phase-equilibria; silicates-; kalsilite-silica; data-processing; petrology-; high-temperature; computer-programs; KALTZ-; BASIC-; interactive-techniques; crystallization-; graphic-display; digital- ...
http://www.iamg.org/index.php/publisher/articleview/frmArticleID/89
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Mathematics Archives - Topics in Mathematics - Fractals
... Function Systems Chaos in the Classroom, Boston University ADD. KEYWORDS: The Chaos Game, Self-similarity, Fractal Dimension, Iterated Function Systems Clifford A. Pickover's Homepage ADD. KEYWORDS: Cellular Automata, Carotid-Kundalini Functions, Books, Puzzles, JAVA ... of Chance ADD. KEYWORDS: Random Processes, Branching Structures, Patterns in Nature, Student Activities, Laboratory Experiments, Visualization, Software, Fractal Dimension, Fractal Coastlines Diffusion-limited Aggregation Exploring Fractals ADD. KEYWORDS: Lesson Plan, Tutorial, Bibliography Fantastic Fractals ADD. KEYWORDS: Tutorials, Gallery, Fractal
http://archives.math.utk.edu/topics/fractals.html
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Edge: A THEORY OF ROUGHNESS: A Talk with Benoit Mandelbrot
... together prior to his 80th birthday. Mandelbrot is best known as the founder of fractal geometry which impacts mathematics, diverse sciences, and arts, and is best appreciated as being the ... roughness and nobody will deny that there is at least some roughness everywhere." "My book , The Fractal Geometry of Nature ," he says, reproduced Hokusai's print of the Great Wave , the ... and IBM Fellow Emeritus (Physics) at the IBM T.J. Watson Research Center. His books include The ...
http://www.edge.org/3rd_culture/mandelbrot04/mandelbrot04_index.html
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Edge 151
... together prior to his 80th birthday. Mandelbrot is best known as the founder of fractal geometry which impacts mathematics, diverse sciences, and arts, and is best appreciated as being the ... roughness and nobody will deny that there is at least some roughness everywhere." "My book , The Fractal Geometry of Nature ," he says, reproduced Hokusai's print of the Great Wave , the ... and IBM Fellow Emeritus (Physics) at the IBM T.J. Watson Research Center. His books include The ...
http://www.edge.org/documents/archive/edge151.html
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Terranova Screen Saver for Windows
... for Windows 95/98/Me and NT/2000/XP uses the technique of fractal forgery to synthesise images of planets, star fields, and cloudy skies. Every image is ... effects each has on the generation of images. Parameter Default Limit Description Min. Max. Min. Max. Fractal dimension 2.0 2.7 1.0 3.0 Controls the roughness, or scale of detail in ... values produce smoother results, while high values may be close to completely chaotic. Different ranges of ...
http://www.fourmilab.ch/terranova/saver/
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Microsoft Word - Vizoso_CV.doc
... of
marine invertebrate communities in macroalgae. Thesis. Universidad Simón
Bolivar. Caracas, Venezuela.
1994
Vizoso, D. B. (1994). Fractal Dimension in Landscape Ecology. Ediciones
de la Universidad Simón Bolívar. Caracas, Venezuela.
PRESENTATIONS
2005
Vizoso, D. B. Associations of ... Congress of Ecology, Mérida, Venezuela. October 1995.
Vizoso, D. B. Use and misuse of fractal dimension in ecology.
III Latin-American Congress of Ecology, Mérida, Venezuela. October 1995.
Suárez, I., Vizoso, D ...
http://evolution.unibas.ch/people/dita/pubs/pdfs/Vizoso_CV.pdf
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Institut für Anatomie und muskuloskelettale Forschung - PMU
... confocal microscopy and three-dimensional visualization. Histochem Cell Biol 1997; 107: 205-213. Sandau K, Kurz H Measuring fractal dimension and complexity - an alternative approach with an application. J Microsc 1997; 186: 164-176. Kurz H, Sandau K ... die Verzweigungen der Blutgefäße: Embryonale Musterbildung zwischen Ordnung, Zufall und Chaos. Habilitationsschrift Med. Fakultät, Freiburg, 1997. Sandau K, Kurz H Fractal dimension and image complexity - an old concept and a new approach. E J Pathol 1997; 3 ...
http://www.pmu.ac.at/anatomie/778.htm
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Dr
... through recursive iterations. The resulting figures can be quantitatively distinguished by an analytically derived measure, the fractal dimension. Hence fractals offer a revolutionary method for the analysis of natural features of ... either short-term uncertainty in the relation of initial conditions to final conditions (fractal basin boundaries), or long-term (in fact infinite) aperiodic fluctuations (chaotic attractors). In both cases of ... ...
http://www.rpi.edu/%7Eeglash/eglash.dir/complex.dir/ch_ut_ap.htm
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Dr
... through recursive iterations. The resulting figures can be quantitatively distinguished by an analytically derived measure, the fractal dimension. Hence fractals offer a revolutionary method for the analysis of natural features of ... either short-term uncertainty in the relation of initial conditions to final conditions (fractal basin boundaries), or long-term (in fact infinite) aperiodic fluctuations (chaotic attractors). In both cases of ... ...
http://www.rpi.edu/~eglash/eglash.dir/complex.dir/ch_ut_ap.htm
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ABSTRACTS Visibility 2006
ABSTRACTS Visibility 2006 Conference on Visibility, Aerosols, and Atmospheric Optics Vienna , September 3 to 6, 2006 ABSTRACTS Vienna , August 2, 2006 The abstracts are listed in alphabetical order of the first author 34 AEROSOL OPTICAL DEPTH MEASUREMENTS IN FINLAND AND ANTARCTICA IN 2004-2006 Veijo Aaltonen 1 , Heikki Lihavainen 1 , Maximo Ginzburg 2 , Markku Kulmala 3 and Yrjö Viisanen 1 Finnish Meteorological Institute, P. O. Box 503, 00101 Helsinki, Finland Servicio Meteorológico Nacional, 25 de Mayo 658, C1002ABN Buenos Aires, ...
http://visibility.exp.univie.ac.at/AbstractsA-Z.htm
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book.dvi
Thursday, December 14th
9:00 – 9:15 Opening
Chair: Aad Dijksma
9:15 – 9:40 Alexander Markus
On convexity of ranges of quadratic forms
on various sets
9:45 – 10:10 Daniel Alpay
Generalized Nevanlinna functions in the
Banach space setting
10:15 – 10:40 Mark Malamud
Completeness of root vectors for arbitrary
boundary value problems for
Sturm-Liouville equations
10:45 – 12:00 Refund of travel expenses (MA 674)
& Coffee break (DFG Lounge MA 315)
Thursday, December 14th
Chair: Vadim Adamyan
12: ...
http://www.math.tu-berlin.de/~trunk/Book.pdf
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Cultures of Inquiry
Cultures of Inquiry From Hip-hop to Flip-flop Ron Eglash Contrary to Gross and Levitt’s claim that there is an undercurrent of revenge in social studies of science, this is not a revenge story I’m going to tell you. In fact it’s really about my love for electrical engineering, and my interest in trying to understand its cultural dimensions. When I was first introduced to ...
http://www.rpi.edu/%7Eeglash/eglash.dir/ethnic.dir/flipflop/flipflop.html
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Advances in Nondestructive and Image Processing Techniques for Hydrology and Environmental Studies I
... scale useful for analysis. Pores structure and configuration were found to be irregular, with fractal surface behaviour that controls the rate of water flow through peat soils. The fractal ... from the box counting method suggests pores with higher pore roughness (smaller values of the fractal dimension) have a higher tortuosity and lower connectivity. Estimates of unsaturated hydraulic conductivities made for ...
http://www.gac.ca/activities/abstracts/2009_Joint_Assembly/absbook/ja09_H33A.html
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http://scec.ess.ucla.edu/~ykagan/smeg_index.html
... earthquakes: The four-point moment function, Geophys. J. Roy. astr. Soc., 67, 719-733. 26. Kagan, Y. Y., 1991. Fractal dimension of brittle fracture, J. Nonlinear Sci., 1, 1-16. 91. Kagan, Y. Y., 2007. "Earthquake spatial distribution: the ... Libicki, E. and Y. Ben-Zion, Stochastic Branching Models of Fault Surfaces and Estimated Fractal Dimension , Pure Appl. Geophys., 162 (2005) 1077-1111, PDF file, 0.56 Mb. From Y. Ben-Zion web site Copy on ...
http://scec.ess.ucla.edu/~ykagan/smeg_index.html
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Geometric morphometrics glossary (part 1)
... and x and y are size measures in units of the same dimension. See Klingenberg, 1996, NATO volume "white book". anisotropy - Anisotropy is a descriptor of one aspect of ...
http://life.bio.sunysb.edu/morph/glossary/gloss1.html