Structure of Mathematical Morphology

Ding, Hao and Scott, Paul J. (2012) Structure of Mathematical Morphology. In: Proceedings of The Queen’s Diamond Jubilee Computing and Engineering Annual Researchers’ Conference 2012: CEARC’12. University of Huddersfield, Huddersfield, pp. 20-24. ISBN 978-1-86218-106-9

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Abstract

For contact surface measurement, estimating the profile of actual surface from the locus of the center point of the stylus is an inverse problem. The measurement process which transforms the profile of actual surface to the locus of the center point is a dilation operation with a disk with error. An erosion operation can be taken as the inverse mapping of the dilation to estimate the actual profile. By using category theory, erosion and dilation can be formulated as two functors between two categories of sets of vectors. Each category has sets of vectors as objects and inclusion functions between sets as
morphisms. The functor of erosion is left adjoint to the functor of dilation

Item Type:	Book Chapter
Uncontrolled Keywords:	mathematical morphology, surface metrology, inverse problem, adjoint functors
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Schools:	School of Computing and Engineering School of Computing and Engineering > Centre for Precision Technologies School of Computing and Engineering > Centre for Precision Technologies > Surface Metrology Group School of Computing and Engineering > Computing and Engineering Annual Researchers' Conference (CEARC)
Related URLs:	Author Author
Depositing User:	Sharon Beastall
Date Deposited:	26 Apr 2012 12:04
Last Modified:	28 Aug 2021 20:52
URI:	http://eprints.hud.ac.uk/id/eprint/13404

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