2010
DOI: 10.1007/978-3-642-13105-9_20
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Fractal Analysis of Dental Radiographic Images in the Irregular Regions of Interest

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Cited by 9 publications
(6 citation statements)
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“…[3] The fascinating concept of FA dates back to early 1900's when Bachelier in 1900, Kolmogorov in 1941, Mandelbrot in 1963 and Frish in 1995 pioneered the significance and uniqueness of this procedure. [4] Oczeretko et al [5] have demonstrated different methods of FA, used to measure roughed areas in dental radiographs, one of which is "box counting" method, adopted in our study. Fractal objects have three important features of self-similarity, chaos and non-integer FD.…”
Section: Discussionmentioning
confidence: 95%
See 1 more Smart Citation
“…[3] The fascinating concept of FA dates back to early 1900's when Bachelier in 1900, Kolmogorov in 1941, Mandelbrot in 1963 and Frish in 1995 pioneered the significance and uniqueness of this procedure. [4] Oczeretko et al [5] have demonstrated different methods of FA, used to measure roughed areas in dental radiographs, one of which is "box counting" method, adopted in our study. Fractal objects have three important features of self-similarity, chaos and non-integer FD.…”
Section: Discussionmentioning
confidence: 95%
“…This is the most common used method to quantify the trabecular pattern by calculating the trabecular bone and bone marrow interface. [4][5][6] This is used as preliminary assessing and prognosticating tool on bone quality in case of dental implants. [7][8][9] The purpose of this study is to evaluate if edentulous sites had different bone quality compared to sites with teeth.…”
Section: Introductionmentioning
confidence: 99%
“…It also contrast with a more recent work by Geraets et al [103] who studied the effect of including portions of the roots of adjacent teeth in ROIs used to determine some radiographic parameters including the FD, and found that including part of the teeth in the ROI did not reduce the ability to predict bone mineral density. Oczeretko et al [167,168] proposed a method to measure FD on irregular ROIs based on the intensity difference scaling method [169], which could serve to properly isolate the tissue under study.…”
Section: 10mentioning
confidence: 99%
“…Fractal dimension analysis is one of the noninvasive, well-suited methods to analyze the bone texture on a plain radiograph [ 10 ]. This method is used to quantify the trabecular bone pattern and bone marrow interface using the box-counting logarithm [ 11 , 12 ]. The fractal analysis is a statistical analysis of texture based on fractal geometry for describing complex structural patterns recognized and expressed as a ratio termed as the “fractal dimension” FD [ 13 , 14 ].…”
Section: Introductionmentioning
confidence: 99%