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Estimation of moments of digitized objects with fuzzy borders
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- Sladoje, Natasa (author)
- Uppsala universitet,Centrum för bildanalys,Datoriserad bildanalys
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- Lindblad, Joakim (author)
- Uppsala universitet,Centrum för bildanalys,Datoriserad bildanalys
- (creator_code:org_t)
- Berlin, Heidelberg : Springer, 2005
- 2005
- English.
- In: Proc. of 13th International Conference on Image Analysis and Processing. - Berlin, Heidelberg : Springer. - 9783540318668 ; , s. 188-195
- Conference paper (peer-reviewed)
Abstract
Subject headings
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- Error bounds for estimation of moments from a fuzzy representation of a shape are derived, and compared with estimations from a crisp representation. It is shown that a fuzzy membership function based on the pixel area coverage provides higher accuracy of the estimates, compared to binary Gauss digitization at the same spatial image resolution. Theoretical results are confirmed by a statistical study of disks and squares, where the moments of the shape, up to order two, are estimated from its fuzzy discrete representation. The errors of the estimates decrease both with increased size of a shape (spatial resolution) and increased membership resolution (number of available grey-levels).
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap -- Datorseende och robotik (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Computer Vision and Robotics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
Keyword
- fuzzy sets
- moments
- accuracy
- multigrid resolution
- Image analysis
- Bildanalys
- Computerized Image Processing
- Datoriserad bildbehandling
Publication and Content Type
- ref (subject category)
- kon (subject category)
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