1995
DOI: 10.1007/978-1-4612-4170-6
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Curves and Fractal Dimension

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Cited by 298 publications
(265 citation statements)
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“…This point is on the curves of the fractal radii described by Eq. (22). What is then the physical meaning of that point?…”
Section: Discussionmentioning
confidence: 99%
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“…This point is on the curves of the fractal radii described by Eq. (22). What is then the physical meaning of that point?…”
Section: Discussionmentioning
confidence: 99%
“…(11) follows Hölderian form: [22] vðt; εÞ ¼ sup On the other hand, as f is uniformly anti-Hölderian too, with the same exponent, there exists a positive constantc′;independent of t such that, for any ε :…”
Section: Theoretical Relation In Proposed Methodsmentioning
confidence: 99%
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“…Unfortunately, different methods estimate different values for D, especially to characterize objects with limited self-similarity, such as texture images. One of the most accurate methods to estimate the fractal dimension of a shape image is the Bouligand-Minkowski method [41]. This method is based on the study of the influence area of the object contained in the image, and it is very sensitive to structural changes of the object.…”
Section: Fractal Dimensionmentioning
confidence: 99%