Title :
An Algebraic Approach to the Generation and Description of Binary Pictures
Author :
Agui, Takeshi ; Nakajima, Masayuki ; Arai, Yukihiro
Author_Institution :
Imaging Science and Engineering Laboratory, Tokyo Institute of Technology, 4259 Nagatsuda-cho, Midori-ku, Yokohama 227, Japan.
Abstract :
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.
Keywords :
Algebra; Animation; Arithmetic; Commutation; Computer graphics; Design automation; Equations; Frequency; Polynomials; Shape; Affine transformation; pictorial algebra; pictorial polynomials;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
DOI :
10.1109/TPAMI.1982.4767317
