by Messerschmidt, Hartmut and Stommel, Martin
Abstract:
In image processing, there is a need for efficient methods that complement statistical models by structural information about the spatial scene arrangement and compositional hierarchy. In order to recognise the structure of locally detected features, we propose a two-dimensional Church-Rosser Picture Language that facilitates the evaluation of local information compared to one-dimensional languages. Although Church-Rosser languages are able to represent certain types of context-sensitivity, the word problem is solvable in linear time. We describe how the concept of local replacements used in rewriting systems and restarting automata, helps in pattern and picture recognition. It is shown that the Church-Rosser Picture Language can be recognised by a deterministic shrinking two-dimensional restarting automaton. The practical application of the Church-Rosser Picture Language in object recognition is illustrated.
Reference:
Messerschmidt, Hartmut and Stommel, Martin, "Church-Rosser Picture Languages and Their Applications in Picture Recognition", Technical report, TZI, Center for Computing Technologies, no. 61, pp. 1–28, 2011.
Bibtex Entry:
@TECHREPORT{Messerschmidt2011,
author = {Messerschmidt, Hartmut and Stommel, Martin},
title = {Church-Rosser Picture Languages and Their Applications in Picture
Recognition},
institution = {TZI, Center for Computing Technologies},
year = {2011},
number = {61},
abstract = {In image processing, there is a need for efficient methods that complement
statistical models by structural information about the spatial scene
arrangement and compositional hierarchy. In order to recognise the
structure of locally detected features, we propose a two-dimensional
Church-Rosser Picture Language that facilitates the evaluation of
local information compared to one-dimensional languages. Although
Church-Rosser languages are able to represent certain types of context-sensitivity,
the word problem is solvable in linear time. We describe how the
concept of local replacements used in rewriting systems and restarting
automata, helps in pattern and picture recognition. It is shown that
the Church-Rosser Picture Language can be recognised by a deterministic
shrinking two-dimensional restarting automaton. The practical application
of the Church-Rosser Picture Language in object recognition is illustrated.},
isbn = {ISSN 1613-3773},
keywords = {Church-Rosser Languages,Picture Recognition,Restarting Automata,Locality,Picture
Languages},
location = {Bremen},
owner = {pmania},
pages = {1--28},
series = {TZI Technical Report},
timestamp = {2012.11.06}
}