2005
DOI: 10.1142/s0218348x05002738
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Coding and Distance Calculating of Separately Random Fractals and Application to Generating River Networks

Abstract: This work develops a preliminary method for coding random self-similar patterns as a series of numbers and investigates the corresponding algorithm to calculate the topological distance between starting point and the link in the generated fractal pattern from the code series. With reference to the wide range of stochastic property in natural patterns, a process for generating fractal patterns with various generating probabilities of the pattern links denoted as separately random self-similar generation or sepa… Show more

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Cited by 13 publications
(18 citation statements)
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“…The approach of Hung & Wang (2005a,b) is an original such chain, and the aim of this paper is to express some queries in relation to the three successive steps, their articulation and the propagation of options throughout the process which could generate biases and/or implicit limitations and/or new uncertainties. Some of these queries are all the more poignant when cross-reading a third paper (Hung & Wang, 2005c), presenting similar results to another audience.…”
Section: Introductionmentioning
confidence: 77%
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“…The approach of Hung & Wang (2005a,b) is an original such chain, and the aim of this paper is to express some queries in relation to the three successive steps, their articulation and the propagation of options throughout the process which could generate biases and/or implicit limitations and/or new uncertainties. Some of these queries are all the more poignant when cross-reading a third paper (Hung & Wang, 2005c), presenting similar results to another audience.…”
Section: Introductionmentioning
confidence: 77%
“…The justification of this basic pattern is not clear as regards the number, shape and position of the links. This is all the more questionable since Hung & Wang (2005a,c) themselves assert that "the family distance function, the relationship function and the basic link distance depend on the shape of the basic pattern" and that "different basic patterns yield different values of these functions"; and since Hung & Wang (2005c) use a very different basic pattern (in terms of the total number of links, lengths of links and bifurcation angles) for the same basin and the same typhoon events. -Generation probabilities are evaluated for each link of the initial basic pattern and then transferred to the child-families through heredity.…”
Section: Modelling Geomorphometric Variables and Functionsmentioning
confidence: 99%
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“…Veitzer et al considered the random generation of river networks and applied a random self-similar network (or RSN) model on several hydrological simulations. 10,11 Hung et al made a series of studies about the coding method for the complex random self-similar tree [12][13][14][15] and successful developed the algorithm to transfer the generated shape as a code series that consists of "1" and "0" number series, and investigated the corresponding algorithm to calculate the topological distance of the link on the generated pattern.…”
Section: Introductionmentioning
confidence: 99%
“…Veitzer et al [8,9] conceptualized the random SSN to describe the traditional Horton parameters in the form of probability dis-tribution and applied it to the hydrological simulation in river basins. Hung et al [10] took codification and topological calculation on SSNs. Previous researches were mainly concentrated on different self-similarity methods to generate virtual river networks.…”
mentioning
confidence: 99%