Differential diagnosis between mycosis fungoides and chronic dermatitis by fractal analysis

Bianciardi, Giorgio; Miracco, Clelia; Santi, Maria Margherita De; Luzi, Pietro

doi:10.1016/j.jdermsci.2003.07.001

Cited by 20 publications

(12 citation statements)

References 2 publications

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“…The slope of the best linear segment of the graph, calculated by performing the least‐square method iteratively over all linear segments ranging from 30 to 130 points, represented the fractal dimension of the image. The methodology was implemented by one of us (GB) using software written in Visual Basic 3 and a personal computer 25 . The box‐counting algorithm was previously validated by measuring computer‐generated Euclidean and fractal shapes of known fractal dimensions with the same graphic window of 501 × 429 pixels (Triadic Koch island = −0.9%; Sierpinski's Triangle = −1.5%; Circumference 0–0.7%; Square = +0.4%).…”

Section: Methodsmentioning

confidence: 99%

“…The methodology was implemented by one of us (GB) using software written in Visual Basic 3 and a personal computer. 25 The box-counting algorithm was previously validated by measuring computer-generated Euclidean and fractal shapes of known fractal dimensions with the same graphic window of 501 ¥ 429 pixels (Triadic Koch island = -0.9%; Sierpinski's Triangle = -1.5%; Circumference 0-0.7%; Square = +0.4%). The method was also validated by repeating the measurements on several images of the same individual by different operators: intra-observer reproducibility was Ϯ3%, inter-observer reproducibility was Ϯ5%.…”

Section: Fractal Analysismentioning

confidence: 99%

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Fractal analysis of fluoroangiographic patterns in anterior ischaemic optic neuropathy and optic neuritis: a pilot study

Traversi¹,

Bianciardi²,

Tasciotti³

et al. 2008

Clinical Exper Ophthalmology

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Section: Methodsmentioning

confidence: 99%

Section: Fractal Analysismentioning

confidence: 99%

Fractal analysis of fluoroangiographic patterns in anterior ischaemic optic neuropathy and optic neuritis: a pilot study

Traversi¹,

Bianciardi²,

Tasciotti³

et al. 2008

Clinical Exper Ophthalmology

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“…Algorithmic complexity and Dmin were calculated using a software written by us. All this four methods are routinely performed by one of us in biomedical works [26][27][28][29][30][31]. Minimum and maximum diameters of the microspherules (Earth and Mars) were automatically measured by Image Pro Plus software (Media Cybernetics, USA).…”

Section: Tortuosity (Dmin)mentioning

confidence: 99%

Microbialites at Gusev Crater, Mars.

Bianciardi

Rizzo²,

Farı́as³

et al. 2015

Astrobiol Outreach

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The Mars Exploration Rover Spirit investigated plains at Gusev crater, where sedimentary rocks are present. The Spirit rover's Athena morphological investigation shows microstructures organized in intertwined filaments of microspherules: a texture we have also found on samples of terrestrial stromatolites and other microbialites. We performed a quantitative image analysis to compare 45 microbialites samplings with 50 rover's ones (approximately 25,000/20,000 microstructures). Contours were extracted and morphometric indexes obtained: geometric and algorithmic complexities, entropy, tortuosity, minimum and maximum diameters. Terrestrial and Martian textures resulted multifractals, while terrestrial abiogenic minerals showed a simple fractal structure. Mean values and confidence intervals from the Martian images overlapped perfectly with those from terrestrial samples. The probability of this occurring by chance was less than 1/2 8 , p<0.004. Our work show the presumptive evidence of microbialites in the Martian outcroppings explored by "Spirit", confirming our previous results concerning the Martian outcroppings explored by Opportunity at Meridiani Planum: unicellular life was widespread on the ancient Mars.

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“…In vitro stimulated platelets present D values higher than the ones of resting platelets. In pathology, fractal dimension, the critical exponent characterizing the geometric complexity of fractal objects, has been shown to be capable of performing diagnosis and prognosis in human diseases (Bianciardi et al, 2003(Bianciardi et al, , 2013Cross and Cotton, 1992;Cross et al, 1994;Goldberger and West, 1987;Losa and Nonnenmacher, 1996). In effect, anatomical entities show complexity as a basic characteristic, residing in the structure and in the behavior of the cell, organ, and apparatus (Grizzi and Chriva-Internati, 2005).…”

Section: Mean (Sd)mentioning

confidence: 99%

Geometric complexity identifies platelet activation in familial hypercholesterolemic patients

Bianciardi

Aglianò

Volpi

et al. 2015

Microsc. Res. Tech.

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Familial hypercholesterolemia (FH), a genetic disease, is associated with a severe incidence of athero-thrombotic events, related, also, to platelet hyperreactivity. A plethora of methods have been proposed to identify those activated circulating platelets, none of these has proved really effective. We need efficient methods to identify the circulating platelet status in order to follow the patients after therapeutic procedures. We propose the use of computerized fractal analysis for an objective characterization of the complexity of circulating platelet shapes observed by means of transmission electron microscopy in order to characterize the in vivo hyperactivated platelets of familial hypercholesterolemic patients, distinguishing them from the in vivo resting platelets of healthy individuals. Platelet boundaries were extracted by means of automatically image analysis. Geometric complexity (fractal dimension, D) by box counting was automatically calculated. The platelet boundary observed by electron microscopy is fractal, the shape of the circulating platelets is more complex in FH (n = 6) than healthy subjects (n = 5, P < 0.01), with 100% correct classification in selected individuals. In vitro activated platelets from healthy subjects show an analogous increase of D. The observed high D in the platelet boundary in FH originates from the in vivo platelet activation. Computerized fractal analysis of platelet shape observed by transmission electron microscopy can provide accurate, quantitative data to study platelet activation in familial hypercholesterolemia and after administration of drugs or other therapeutic procedures.

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Differential diagnosis between mycosis fungoides and chronic dermatitis by fractal analysis

Cited by 20 publications

References 2 publications

Fractal analysis of fluoroangiographic patterns in anterior ischaemic optic neuropathy and optic neuritis: a pilot study

Fractal analysis of fluoroangiographic patterns in anterior ischaemic optic neuropathy and optic neuritis: a pilot study

Microbialites at Gusev Crater, Mars.

Geometric complexity identifies platelet activation in familial hypercholesterolemic patients

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