Abstract
Assessment of regularity based on quantitativemeasurements is important for biological structures analysis. The most important is the analysis of the cells’ structures. In this paper a few assessment methods are compared: hexagonality, coefficient of variation of sizes, and average coefficient of variation of cells’ sides lengths (the new proposed by the authors). This evaluation is based on synthetically generated image datasets for unbiased Monte Carlo analysis. The cell structures are time– evolved using optimization approach starting from irregular to regular.
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References
Aurenhammer, F., Klein, R.: Voronoi Diagrams. In: Handbook of Computational Geometry, pp. 201–290. Elsevier (2000)
Ayala, G., Diaz, M., Martinez-Costa, L.: Granulometric moments and corneal endothelium status. Pattern Recognition 34(6), 1219–1227 (2001)
Doughty, M.: The ambiguous coefficient of variation: Polymegethism of the corneal endothelium and central corneal thickness. International Contact Lens Clinic 17(9-10), 240–248 (1990)
Doughty, M.: Concerning the symmetry of the ‘hexagonal’ cells of the corneal endothelium. Experimental Eye Research 55(1), 145–154 (1992)
Gronkowska-Serafin, J., Piórkowski, A.: Corneal endothelial grid structure factor based on coefficient of variation of the cell sides lengths. In: Choras, R.S. (ed.) Image Processing and Communications Challenges 5. AISC, vol. 233, pp. 13–20. Springer, Heidelberg (2014)
Oblak, E., Doughty, M., Oblak, L.: A semi-automated assessment of cell size and shape in monolayers, with optional adjustment for the cell-cell border width-application to human corneal endothelium. Tissue and Cell 34(4), 283–295 (2002)
Okabe, A., Boots, B., Sugihara, K., Chiu, S.: Spatial Tessellations - concepts and Applications of Voronoi Diagrams. John Willey (2000)
Oszutowska-Mazurek, D., Mazurek, P., Sycz, K., Waker-Wójciuk, G.z.: Estimation of fractal dimension according to optical density of cell nuclei in Papanicolaou smears. In: Piętka, E., Kawa, J. (eds.) ITIB 2012. LNCS, vol. 7339, pp. 456–463. Springer, Heidelberg (2012)
Oszutowska–Mazurek, D., Mazurek, P., Sycz, K., Waker–Wójciuk, G.z.: Variogram Based Estimator of Fractal Dimension for the Analysis of Cell Nuclei from the Papanicolaou Smears. In: Choraś, R.S. (ed.) Image Processing and Communications Challenges 4. AISC, vol. 184, pp. 47–54. Springer, Heidelberg (2013)
Placzek, B.: Rough sets in identification of cellular automata for medical image processing. Journal of Medical Informatics and Technologies 22, 161–168 (2013) ISSN: 1642-6037
Rao, G.N., Lohman, L., Aquavella, J.: Cell size-shape relationships in corneal endothelium. Investigative Ophthalmology and Visual Science 22(2), 271–274 (1982)
Sanchez-Marin, F.: Automatic segmentation of contours of corneal cells. Computers in Biology and Medicine 29(4), 243–258 (1999)
Zapter, V., Martinez-Costa, L., Ayala, G.: A granulometric analysis of specular microscopy images of human corneal endothelia. Computer Vision and Image Understanding 97(3), 297–314 (2005)
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Piórkowski, A., Mazurek, P., Gronkowska-Serafin, J. (2015). Comparison of Assessment Regularity Methods Dedicated to Isotropic Cells Structures Analysis. In: Choraś, R. (eds) Image Processing & Communications Challenges 6. Advances in Intelligent Systems and Computing, vol 313. Springer, Cham. https://doi.org/10.1007/978-3-319-10662-5_21
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DOI: https://doi.org/10.1007/978-3-319-10662-5_21
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10661-8
Online ISBN: 978-3-319-10662-5
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