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231223s2004 xx |||||o 00| ||eng c |
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|a 10.1109/TPAMI.2004.19
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|a eng
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|a Zunic, Jovisa
|e verfasserin
|4 aut
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|a A new convexity measure for polygons
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|c 2004
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|a Text
|b txt
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|a ƒaComputermedien
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|a Date Completed 31.07.2008
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|a Date Revised 26.06.2008
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|a published: Print
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|a Citation Status MEDLINE
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|a Abstract-Convexity estimators are commonly used in the analysis of shape. In this paper, we define and evaluate a new convexity measure for planar regions bounded by polygons. The new convexity measure can be understood as a "boundary-based" measure and in accordance with this it is more sensitive to measured boundary defects than the so called "area-based" convexity measures. When compared with the convexity measure defined as the ratio between the Euclidean perimeter of the convex hull of the measured shape and the Euclidean perimeter of the measured shape then the new convexity measure also shows some advantages-particularly for shapes with holes. The new convexity measure has the following desirable properties: 1) the estimated convexity is always a number from (0, 1], 2) the estimated convexity is 1 if and only if the measured shape is convex, 3) there are shapes whose estimated convexity is arbitrarily close to 0, 4) the new convexity measure is invariant under similarity transformations, and 5) there is a simple and fast procedure for computing the new convexity measure
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|a Journal Article
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|a Research Support, Non-U.S. Gov't
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|a Rosin, Paul L
|e verfasserin
|4 aut
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|i Enthalten in
|t IEEE transactions on pattern analysis and machine intelligence
|d 1979
|g 26(2004), 7 vom: 26. Juli, Seite 923-34
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|x 1939-3539
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|g year:2004
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|g month:07
|g pages:923-34
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