Thesis supervisor: Benedek Nagy
Location of studies (in Hungarian): Debreceni Egyetem Informatikai Kar Abbreviation of location of studies: DE IK
Description of the research topic:
Digital geometry is the theoretical bases of image processing and computer graphics. Usually, a regular grid is used (e.g., the square grid as a screen), and coordinates with integer values are used. Digital (path based) distances, graph properties of non regular grids are belonging to this field. Applications in image processing, computer graphics, etc. Of these grids and these distances are also important research tasks.
Bibliography
R. Klette and A. Rosenfeld. Digital geometry. Geometric methods for digital picture analysis. Morgan Kaufmann Publishers, Elsevier Science B.V., San Francisco, Amsterdam, 2004.
V. A. Kovalevsky. Geometry of Locally Finite Spaces (Computer Agreeable Topology and Algorithms for Computer Imagery). Editing House Dr. Barbel Kovalevski,
Berlin, 2008.
R. Strand, B. Nagy, and G. Borgefors. Digital distance functions on threedimensional grids. Theor. Comput. Sci., 412(15):1350-1363, 2011.
Recommended language skills (in Hungarian): angol Number of students who can be accepted: 1
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