Simple fractal method of assessment of histological images for application in medical diagnostics

Klonowski, Włodzimierz; Stepien, Robert; Stepien, Pawel

doi:10.1186/1753-4631-4-7

Cited by 22 publications

(15 citation statements)

References 6 publications

(10 reference statements)

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“…12a), DNA sequencing, and long-range anticorrelations in heartbeat regulation or rhythm (Havlin et al 1995). Fractal shapes and fractal analysis have also been applied to the identification of tumors in brain MR images and other histological images in medical diagnostics (Klonowski et al 2010). Fractal antennas, which use selfsimilar design to maximize material structures which receive or transmit electromagnetic radiation, produce compact, multiband, or wideband antennas used in cell phone and other microwave applications.…”

Section: Branched Systems and Fractal Structuresmentioning

confidence: 99%

Biomimetics and Biologically Inspired Materials

Murr¹

2015

Handbook of Materials Structures, Properties, Processing and Performance

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Section: Branched Systems and Fractal Structuresmentioning

confidence: 99%

Biomimetics and Biologically Inspired Materials

Murr¹

2015

Handbook of Materials Structures, Properties, Processing and Performance

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“…29 However, unusual cases exist of benign masses that have macrolobulated or spiculated contours as well as of malignant tumors that have smooth or microlobulated boundaries without spicules. Klonowski et al 35 applied Higuchi's method for fractal analysis of the texture seen in histological images as well as for the analysis of the shape of breast masses. Matsubara et al 34 reported 100% accuracy in the classification of a small dataset of 13 benign masses and malignant tumors using FD.…”

Section: Shape Characteristics Of Breast Massesmentioning

confidence: 99%

“…15,30,35,[37][38][39][40][41] Regardless, several studies have shown that shape factors perform better in discriminating between benign masses and malignant tumors than other measures related to breast density, contrast, texture, and edge sharpness. For these reasons, CAD systems and algorithms need to use combinations of several features derived from various images or regions related to breast masses; it is common to use many measures representing not only shape but also texture, density, and edge sharpness.…”

Section: Shape Characteristics Of Breast Massesmentioning

confidence: 99%

Fractal analysis and classification of breast masses using the power spectra of signatures of contours

Rangayyan

Oloumi

2012

J. Electron. Imaging

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The contours of benign masses and malignant tumors in mammograms and other types of breast images differ substantially in their shape and complexity; the former are usually round and smooth, whereas the latter are typically spiculated and irregular. We demonstrate the usefulness of fractal analysis via a frequency domain approach applied to one-dimensional signatures of the twodimensional contours of breast masses in mammograms. The 1∕f model related to fractional Brownian motion was applied via power spectral analysis of signatures to estimate the fractal dimension. Experiments with a dataset of 111 contours, including those of 65 benign masses and 46 malignant tumors, indicated a high classification performance of 0.8962 in terms of the area under the receiveroperating characteristic curve. The method should be useful in computer-aided diagnosis of breast cancer.

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“…For these tasks, determining the fractal dimensions of 2D digital images has been very successful in recent years [12,13,14,15,16]. The methods involved include the well known Box counting method or the Minkowski dilation method.…”

Section: Introductionmentioning

confidence: 99%

Using Fractal Analysis in Modeling Trends in the National Economy

Andronache

Peptenatu

Ciobotaru

et al. 2016

Procedia Environmental Sciences

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The study aims to develop a methodology for analyzing the trend of concentration of economic activities in the main core of national polycentric network. A spatial projection has been realized in ArcGIS platform, for the period 2000-2012, containing the number of companies, number of employees, turnover and profit. The original images were converted to images created 8-bit grayscale (using open-source software ImageJ) are then analyzed by Higuchi 1D Fractal Dimension algorithm using open-source software IQM. Higuchi fractal dimension provided us very useful information about more or less chaotic disposed in space by the number of companies, the profit, the number of employees and the turnover. From data analysis we observed a increase of Higuchi dimension with the growing economic influence of the main centers of development for all the four parameters. We observed that Higuchi analysis could help in identifying of the increasing of the influence of the main centers on the neighbouring territories, in periods of economic development, or decreasing of influence in the periods of the economic crises. For testing and confirmation of the veracity of Higuchi analysis the results obtained were confirmed by gray box-counting analysis using Fractal Analysis System and Fraclac/ ImageJ. Hence, the Higuchi's fractal dimension is a very good, fast and versatile method for modeling evolution of concentration trends in the national economy.

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Simple fractal method of assessment of histological images for application in medical diagnostics

Cited by 22 publications

References 6 publications

Biomimetics and Biologically Inspired Materials

Biomimetics and Biologically Inspired Materials

Fractal analysis and classification of breast masses using the power spectra of signatures of contours

Using Fractal Analysis in Modeling Trends in the National Economy

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