In Part I the reader is introduced to the methods of measuring the fractal dimension of irregular geometric structures. Part II demonstrates important modern methods for the statistical analysis of random shapes. The statistical theory of point fields, with and without marks, is introduced in Part III. Each of the three sections concentrates on the mathematical ideas, rather than detailed proofs, and can be read independently.
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Text: English (translation)
Original Language: German
Original Language: German
From the Publisher
In Part I the reader is introduced to the methods of measuring the fractal dimension of irregular geometric structures. Part II demonstrates important modern methods for the statistical analysis of random shapes. The statistical theory of point fields, with and without marks, is introduced in Part III. Each of the three sections concentrates on the mathematical ideas, rather than detailed proofs, and can be read independently.
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Inside This Book
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First Sentence:
Fractals are mathematical models for very irregular, very detailed sets such as given by Figs. 3, 4, 6, 8, 11, 12, 13 and 17. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
point field models, contour covariance functions, set covariance function, divider stepping method, river sand grains, desert sand grains, kth neighbour, spherical contact distribution function, random compact sets, binomial field, hard core field, sausage method, sand grams, landmark configurations, point triplets, ith configuration, cluster field, mathematical fractals, erosion function, pair correlation function, edge correction, shape statistics, image analysers, disc centred, interpolation nodes Key Phrases - Capitalized Phrases (CAPs): (learn more)
Gobi Desert, Monte Carlo, Baltic Sea, River Selenchuk New!
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Fractals are mathematical models for very irregular, very detailed sets such as given by Figs. 3, 4, 6, 8, 11, 12, 13 and 17. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
point field models, contour covariance functions, set covariance function, divider stepping method, river sand grains, desert sand grains, kth neighbour, spherical contact distribution function, random compact sets, binomial field, hard core field, sausage method, sand grams, landmark configurations, point triplets, ith configuration, cluster field, mathematical fractals, erosion function, pair correlation function, edge correction, shape statistics, image analysers, disc centred, interpolation nodes Key Phrases - Capitalized Phrases (CAPs): (learn more)
Gobi Desert, Monte Carlo, Baltic Sea, River Selenchuk New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
books:
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100
books
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- Statistics for Spatial Data (Wiley Series in Probability and Statistics) by Noel Cressie in Back Matter (1), and Back Matter (2)
- Stochastic Geometry and Its Applications, 2nd Edition by Professor Dietrich Stoyan in Front Matter, and Back Matter
- Statistical Distributions by Merran Evans in Back Matter (1), and Back Matter (2)
- Order Statistics (Wiley Series in Probability and Statistics) by Herbert A. David in Front Matter, and Back Matter
- Spatial Statistics (Wiley Series in Probability and Statistics) by Brian D. Ripley in Back Matter (1), and Back Matter (2)
See all 100 books this book cites
- Fractal-Based Point Processes by Steven Bradley Lowen in Back Matter (1), and Back Matter (2)
- Generalized, Linear, and Mixed Models (Wiley Series in Probability and Statistics) by Charles E. McCulloch in Back Matter
- A Probabilistic Analysis of the Sacco and Vanzetti Evidence (Wiley Series in Probability and Statistics) by Joseph B. Kadane in Back Matter
- Statistical Size Distributions in Economics and Actuarial Sciences (Wiley Series in Probability and Statistics) by Christian Kleiber in Back Matter
- Aspects of Statistical Inference (Wiley Series in Probability and Statistics) by A. H. Welsh in Back Matter
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