Digital Geometry: A Mathematical Basis for Image Processing and Computer Graphics

Digital Geometry: A Mathematical Basis for Image Processing and Computer Graphics

Dr. Bhargab B. Bhattacharya

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Digital geometry is concerned with the study of geometrical properties of objects in the discrete space. Representing a line segment, a circle, or in general a curve, on a rectangular grid is a fundamental problem in digital geometry, and is extremely important in image processing, and also in computer graphics for visualization of curves and shapes. In this talk, we will introduce the basic concepts of digital geometry, elucidate elementary properties of a digital line segment, provide number-theoretic interpretation of a digital circle, and finally describe several domains, e.g., image retrieval, shape description, and document analysis, where these concepts can be deployed for exciting applications.

Esbozo Curricular

 Bhargab B. Bhattacharya has been on the faculty of the Indian Statistical Institute, Kolkata, India, where currently, he is professor of computer science and engineering, and Deputy Director.  He received the B.Sc. degree in physics, the B.Tech. and M.Tech. degrees in radiophysics and electronics, and the Ph.D. degree in computer science all from the University of Calcutta, India. He held visiting professorship at the University of Nebraska-Lincoln, USA, at the University of Potsdam, Germany, and at IIT Kharagpur, India. His research interest includes design and testing of integrated circuits, nano-biochips, digital geometry, and image processing architecture. He has published more than 230 technical articles, and he holds 9 United States Patents. He is a Fellow of the Indian National Academy of Engineering, a Fellow of the National Academy of Sciences (India), and a Fellow of the IEEE.