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Abstract. When two-dimensional medical images are subject to fractal analysis, one of the methods used is to detect the contour of objects in the binary images and later to estimate the fractal dimension of the extracted contour. This scalar characteristic of the medical image should help in discrimination between normal and abnormal tissues. In this paper we expose the factors that affect the reliability of such examinations and put the fractal dimension in question as a valid criterion for description, classification and recognition in medical diagnosing.

2020 will be remembered for COVID-19, a pandemic that forced the world to lock down and urged most educational providers to promptly implement e-learning solutions. In this paper, we point out some challenges faced by university teachers who had almost no earlier practice in online teaching. Nine lecturers working in different universities from Brazil, the Czech Republic, Estonia, Hungary, India, Macedonia, and Slovakia – all teaching science, technology, engineering, and mathematics (STEM) subjects – were interviewed to share their online teaching experiences during the COVID-19 lockdown. The aim of this introductory small-scale research paper is to provide a basis for future research regarding the influences that the COVID-19 situation has had on educational processes, as well as to assist educational providers in foreseeing and eliminating the possible problems of lecturers when establishing an online educational environment. Some conclusions are formulated from the interview survey, and possibilities for further research are described.

In this paper, we study IR spectroscopy system design by optimizing the radiation energy in the plane of the surface temperature and wavelength. We provide infrared system designing criteria towards the formation of the optimized image of an arbitrary radiating body. As per this formulation, we find that an optimal image arises via an intrinsic statistical measure as late time thermal effects. We also outline the qualitative characteristics of the thermal radiation energy and associated quantities undermining its stability. This classifies (un)stable radiation zone detection towards cutting edge IR based information theory research & development in designing of thermal detectors. Finally, we discuss perspective applications of the IR technology, ensemble averaging, digital coding, and formation of an optimal thermal image.

This work introduces a novel tool for interactive, real-time affine transformations of two dimensional IFS fractals. The tool uses some of the nice properties of the barycentric coordinates that are assigned to the points that constitute the image of a fractal, and thus enables any affine transformation of the affine basis, done by click-and-drag, to be immediately followed by the same affine transformation of the fractal. The barycentric coordinates can be relative to an arbitrary affine basis of , but in order to have a better control over the fractal, a kind of minimal simplex that contains the fractal attractor is used.