1996
DOI: 10.1137/0733032
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Error Bounds on the Estimation of Fractal Dimension

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Cited by 28 publications
(22 citation statements)
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“…Each and every one of these subjective choices might cause the resulting fractal dimension to wander outside the range of physically plausible values and may lead different observers to obtain very different estimates of the fractal dimension of a given stain pattern in a soil. This situation is in no way unique to the application of fractal geometry to preferential flow processes, as stressed recently by Dubuc and Dubuc [1996]:…”
Section: Introductionmentioning
confidence: 99%
“…Each and every one of these subjective choices might cause the resulting fractal dimension to wander outside the range of physically plausible values and may lead different observers to obtain very different estimates of the fractal dimension of a given stain pattern in a soil. This situation is in no way unique to the application of fractal geometry to preferential flow processes, as stressed recently by Dubuc and Dubuc [1996]:…”
Section: Introductionmentioning
confidence: 99%
“…In order to find the fractal dimension, the rate at which the area, V(e), decreases as e tends to 0 is calculated. It turns out that a log-log plot of V(e)/e 2 versus 1/e gives the fractal dimension as its slope [22,23]. …”
Section: Variation Methodsmentioning
confidence: 99%
“…79] (also see Chapter 3). Dubuc and Dubuc [80] summarized some of these issues in the following manner:…”
Section: Operational Aspects Of the Evaluation Of The Fractal Charactmentioning
confidence: 99%