The Quantization of the Structure of Fisheyes via Homology Method

BackgroundA region of interest (ROI) is a part of tissue that contains important information for diagnosis. To use many image analysis methods efficiently, a technique that would allow for ROI identification is required. For the colon, ROIs are characterized by areas of stronger color intensity of hematoxylin. Since malignant tumors grow in the innermost layer, most ROIs will be located in the colonic mucosa and will be an accumulation of tumor cells and/or integrated cells with distorted architecture.MethodsUsing homology theory, our group proposed a method to estimate the contact degree of elements in a unit area of tissue. Homology is a concept that is used in many branches of algebra and topology, and it can quantify the contact degree. Due to the lack of contact inhibition of cancer cells, an area with unusual contact degree is expected to be a potential ROI.ResultsThe current work verifies the accuracy of this method against the results of pathological diagnosis, based on 1825 colonic images provided by the Osaka Medical Center for Cancer and Cardiovascular Diseases. Although we have many false positives and there is a possibility of missing undifferentiated types of cancer, this system is very effective for detecting ROIs.ConclusionsThe mathematical system proposed by our group successfully detects ROIs and is a potentially useful tool for differentiating tumor areas in microscopic examination very quickly. Because we use only the information from low-power field images, there is room for further improvement. This system could be used to screen for not only colon cancer but other cancers as well. More sophisticated and more efficient automated pathological diagnosis systems can be developed by integrating various techniques available today.Virtual SlideThe virtual slide(s) for this article can be found here: http://www.diagnosticpathology.diagnomx.eu/vs/7129390011429407.

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“…Because this method calculates the contact degree of the tissues (structures), we can apply it to many fields (cf. [ 7 - 13 ]).…”

Section: Methodsmentioning

confidence: 99%

Homology-based method for detecting regions of interest in colonic digital images

et al. 2015

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“…In our previous works, Nakane et al [1][2][3][4][5][6] introduced this new method to analyze steel structures and biological tissues. We also analyzed steel structures and concluded that two kinds of the Betti numbers (b0 and b1) helped to evaluate the structures quantitatively [7].…”

Section: Introductionmentioning

confidence: 99%

Fatigue of Low Carbon Alloy Steel (JIS S45C) and a New Method of Fracture Surface Analysis

Kida

Ishida

Mizobe

et al. 2017

MSF

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In this study, we observed cracks and fatigue surface of low carbon alloy steel (JIS, S45C)) in order to investigate the material structure and fatigue fracture surface. After fatigue crack growth tests of CT specimens, three-dimensional surface roughness of the fracture surface was studied using a laser confocal microscope (LCM). An image analysis method of Homology theory was applied to the LCM’s data. The Betti numbers, b1 were calculated at four points on the fracture surfaces in order to study the effect of asperity heights on the b1 values.Based on these analyses, we found the relation between the structure and fatigue cracks from the viewpoint of Homology.

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Relation between the Betti Number of Fatigue Fracture Surfaces and Stress Intensity Factors of Low Carbon Steel (JIS, S45C)

Ishida

Kida

Mizobe

et al. 2015

AMR

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The Quantization of the Structure of Fisheyes via Homology Method

Cited by 3 publications

References 10 publications

Homology-based method for detecting regions of interest in colonic digital images

Homology-based method for detecting regions of interest in colonic digital images

Fatigue of Low Carbon Alloy Steel (JIS S45C) and a New Method of Fracture Surface Analysis

Relation between the Betti Number of Fatigue Fracture Surfaces and Stress Intensity Factors of Low Carbon Steel (JIS, S45C)

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