Formal description, compression and transformation of digital pictures II. Picture algebra and geometry

Krishnamurthy, EV and Subramanian, K and Rao, TM and Srinivasan, S (1974) Formal description, compression and transformation of digital pictures II. Picture algebra and geometry. In: Proceedings Mathematical Sciences, 79 (4). pp. 195-211.

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Abstract

In an earlier paper (Part I) we described the construction of Hermite code for multiple grey-level pictures using the concepts of vector spaces over Galois Fields. In this paper a new algebra is worked out for Hermite codes to devise algorithms for various transformations such as translation, reflection, rotation, expansion and replication of the original picture. Also other operations such as concatenation, complementation, superposition, Jordan-sum and selective segmentation are considered. It is shown that the Hermite code of a picture is very powerful and serves as a mathematical signature of the picture. The Hermite code will have extensive applications in picture processing, pattern recognition and artificial intelligence.

Item Type:	Journal Article
Publication:	Proceedings Mathematical Sciences
Publisher:	Sprigner
Additional Information:	Copyright for this article belongs to Sprigner.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	20 Jan 2010 06:58
Last Modified:	19 Sep 2010 05:46
URI:	http://eprints.iisc.ac.in/id/eprint/23520

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