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An Algebraic Approach to the Generation and Description of Binary Pictures

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3 Author(s)
Takeshi Agui ; Imaging Science and Engineering Laboratory, Tokyo Institute of Technology, 4259 Nagatsuda-cho, Midori-ku, Yokohama 227, Japan. ; Masayuki Nakajima ; Yukihiro Arai

An algebra is proposed for compactly generating and describing binary pictures such as textures and graphics. Four arithmetic operations, differentiation, and integration of such pictures are defined using pictorial constants and rational polynomials. Examples for these operations are illustrated.

Published in:

IEEE Transactions on Pattern Analysis and Machine Intelligence  (Volume:PAMI-4 ,  Issue: 6 )