Comput Math Methods Med - Scale-specific multifractal medical image analysis.

Tópicos

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{ method(2212) result(1239) propos(1039) }

Resumo

Fractal geometry has been applied widely in the analysis of medical images to characterize the irregular complex tissue structures that do not lend themselves to straightforward analysis with traditional Euclidean geometry. In this study, we treat the nonfractal behaviour of medical images over large-scale ranges by considering their box-counting fractal dimension as a scale-dependent parameter rather than a single number. We describe this approach in the context of the more generalized R?nyi entropy, in which we can also compute the information and correlation dimensions of images. In addition, we describe and validate a computational improvement to box-counting fractal analysis. This improvement is based on integral images, which allows the speedup of any box-counting or similar fractal analysis algorithm, including estimation of scale-dependent dimensions. Finally, we applied our technique to images of invasive breast cancer tissue from 157 patients to show a relationship between the fractal analysis of these images over certain scale ranges and pathologic tumour grade (a standard prognosticator for breast cancer). Our approach is general and can be applied to any medical imaging application in which the complexity of pathological image structures may have clinical value.

Resumo Limpo

fractal geometri appli wide analysi medic imag character irregular complex tissu structur lend straightforward analysi tradit euclidean geometri studi treat nonfract behaviour medic imag largescal rang consid boxcount fractal dimens scaledepend paramet rather singl number describ approach context general rnyi entropi can also comput inform correl dimens imag addit describ valid comput improv boxcount fractal analysi improv base integr imag allow speedup boxcount similar fractal analysi algorithm includ estim scaledepend dimens final appli techniqu imag invas breast cancer tissu patient show relationship fractal analysi imag certain scale rang patholog tumour grade standard prognost breast cancer approach general can appli medic imag applic complex patholog imag structur may clinic valu

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