Acquiring knowledge about fractals and multifractals and applying multifractal and fractal analysis to
\nproblems of high complexity. Ability to understand the basic algorithms used in multifractal analysis, as
\nwell as the ability to expand knowledge by working on a specific problem in the field of doctoral
\ndissertation.<\/p>\n
Fractal theory. Fractal properties. Natural fractals. Euclidean and topological dimensions. Fractal
\ndimensions. Dimensions of similarity. Box-counting dimensions. Hausdorff dimension. Multifractal theory.
\nMeasure theory. Multifractal analysis. Fine and rough theory. Sums of moments and Legendre
\ntransformations. Multifractal based image processing. Digital image in shades of grey. Image
\nsegmentation and texture classification. Methods for determining the multifractal spectrum.<\/p>\n
Applying fractal and multifractal image analysis to medicine. Multifractal analysis of EEG signals for diagnosing
\nchronic diseases of the central nervous system. Application to the analysis of microscope, MRI and mammography
\nimages in order to find primary tumours.<\/p>\n","protected":false},"excerpt":{"rendered":"
Objectives and outcomes Acquiring knowledge about fractals and multifractals and applying multifractal and fractal analysis to problems of high complexity. Ability to understand the basic algorithms used in multifractal analysis, as well as the ability … Read more<\/a><\/p>\n Read more<\/a>","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[199],"tags":[],"class_list":["post-14066","post","type-post","status-publish","format-standard","hentry","category-subjects"],"acf":[],"yoast_head":"\n