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| '''Local feature size''' refers to several related concepts in [[computer graphics]] and [[computational geometry]] for measuring the size of a geometric object near a particular point.
| | 34 year old Primary Health Enterprise Manager Willis Caywood from Acton Vale, really loves reading to the, SEO Tools Review 2014 and digital photography. Wants to travel and was encouraged after traveling to Early Christian Necropolis of Pécs (Sopianae).<br><br>my web page :: [http://www.seobase.eu/reviews/buzzbundle-review/ Best Social Media Tool] |
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| *Given a [[differentiable manifold|smooth manifold]] <math>M</math>, the local feature size at any point <math>x \in M</math> is the distance between <math>x</math> and the [[medial axis]] of <math>M</math>.<ref>{{cite journal | doi=10.1007/PL00009475 | first1=Nina | last1=Amenta | first2=Marshall | last2=Bern | title=Surface reconstruction by Vornonoi filtering | journal=Discrete and Computational Geometry | year=1999 | issue=4 | pages= 481–504 | volume=22}}</ref>
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| *Given a [[planar straight-line graph]], the local feature size at any point <math>x</math> is the radius of the smallest closed ball centered at <math>x</math> which intersects any two disjoint features (vertices or edges) of the graph.<ref>{{cite journal | doi=10.1006/jagm.1995.1021 | first=Jim | last=Ruppert | title=A Delaunay refinement algorithm for quality 2-dimensional mesh generation | journal=Journal of Algorithms | year=1995 | issue=3 | pages= 548–585 | volume=18}}</ref>
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| {{multiple image
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| | direction = horizontal
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| | align = center
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| | header = Definitions of local feature size. In each case, the local feature size at the blue points is the radius of the associated blue circle.
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| | image1 = Medial_lfs.svg
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| | width1 = {{#expr: (250 * 1276 / 886) round 0}}
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| | alt1 = Medial axis-base definition.
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| | caption1 = Local feature size for a smooth manifold (black) with medial axis (red).
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| | image2 = Ruppert_lfs.svg
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| | width2 = {{#expr: (250 * 1205 / 780) round 0}}
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| | alt2 = Planar straight line graph-based definition.
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| | caption2 = Local feature size for a planar straight-line graph.
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| }}
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| ==See also==
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| *[[Nearest neighbour function]]
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| == References ==
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| {{Reflist}}
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| [[Category:Geometric algorithms]]
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Latest revision as of 18:17, 6 December 2014
34 year old Primary Health Enterprise Manager Willis Caywood from Acton Vale, really loves reading to the, SEO Tools Review 2014 and digital photography. Wants to travel and was encouraged after traveling to Early Christian Necropolis of Pécs (Sopianae).
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