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|a (DE-627)NLM151334021
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|a (NLM)15460289
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|a DE-627
|b ger
|c DE-627
|e rakwb
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|a eng
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|a Isler, Volkan
|e verfasserin
|4 aut
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|a VC-dimension of exterior visibility
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|c 2004
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|a Text
|b txt
|2 rdacontent
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|a ohne Hilfsmittel zu benutzen
|b n
|2 rdamedia
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|a Band
|b nc
|2 rdacarrier
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|a Date Completed 26.10.2004
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|a Date Revised 10.12.2019
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|a published: Print
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|a Citation Status MEDLINE
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|a In this paper, we study the Vapnik-Chervonenkis (VC)-dimension of set systems arising in 2D polygonal and 3D polyhedral configurations where a subset consists of all points visible from one camera. In the past, it has been shown that the VC-dimension of planar visibility systems is bounded by 23 if the cameras are allowed to be anywhere inside a polygon without holes. Here, we consider the case of exterior visibility, where the cameras lie on a constrained area outside the polygon and have to observe the entire boundary. We present results for the cases of cameras lying on a circle containing a polygon (VC-dimension= 2) or lying outside the convex hull of a polygon (VC-dimension= 5). The main result of this paper concerns the 3D case: We prove that the VC-dimension is unbounded if the cameras lie on a sphere containing the polyhedron, hence the term exterior visibility
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|a Comparative Study
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|a Evaluation Study
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|a Journal Article
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|a Research Support, Non-U.S. Gov't
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|a Research Support, U.S. Gov't, Non-P.H.S.
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|a Kannan, Sampath
|e verfasserin
|4 aut
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|a Daniilidis, Kostas
|e verfasserin
|4 aut
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|a Valtr, Pavel
|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), 5 vom: 27. Mai, Seite 667-71
|w (DE-627)NLM098212257
|x 1939-3539
|7 nnns
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| 773 |
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|g volume:26
|g year:2004
|g number:5
|g day:27
|g month:05
|g pages:667-71
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|a AR
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|d 26
|j 2004
|e 5
|b 27
|c 05
|h 667-71
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