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The Two-Dimensional and Three-Dimensional Processing of Images Provided by Conventional Microscopes

Dalibor Martisek

Department of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Brno, Czech Republic

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Summary: In this paper, I present an interesting processing method of microscopic images. High-pass type filters are generally used for image focusing. They enhance the high spatial frequencies. They are, however, efficient only in cases when the picture is not sharp because of the low contrast on high frequencies (for example in a TV picture). These filters, are not appropriate if the lack of sharpness has been caused by other factors. In this case, it is not possible to construct a three-dimensional model of the observed object. Better results and a three-dimensional model can be obtained by applying the following theory. As part of this paper, an original program based on this theory is described.

Key words: graphic plane, physical pixel, multifocal image, Euclidean trace of point, focusing criterion

PACS: 07.60.Pb, 07.79.-v

This project is supported by research design CEZ: J22/98:261100009 “Non-traditional methods for investigating complex and vague systems”.