NDLI: A language for two-dimensional digital picture processing (COMG, Vol. 10, Issue. 1)

Content Provider	ACM Digital Library
Author	Wang, Patrick Shen-Pei Grosky, William I.
Abstract	A new system, that of matrix grammars, for two-dimensional pattern processing, is introduced. A hierarchy, induced on Chomsky's is found. Language operations such as union, catenation (row and column), Kleene's closure (row and column), and homomorphisms are investigated. It is found that the smallest class of these languages may serve as the class of regular arrays, which is defined as the smallest class of arrays closed under union, catenation (row and column) and Kleene's closure (row and column). Eight possible ways of defining a matrix language are discussed and it is suggested that one of them may lead to a normal form for matrix grammars. The method is advantageous over others on several points. Perhaps the most interesting of all is that it provides a compromise between sequential methods which take too much time for large arrays and parallel methods which usually take too much hardware for large arrays.
Starting Page	106
Ending Page	112
Page Count	7
File Format	PDF
ISSN	00978930
DOI	10.1145/957197.804740
Journal	ACM SIGGRAPH Computer Graphics (COMG)
Volume Number	10
Issue Number	1
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1988-08-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Computer Science Computer Graphics and Computer-Aided Design

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A language for two-dimensional digital picture processing (COMG, Vol. 10, Issue. 1)