Content deleted Content added
Adding second definition and a reference plus some general cleanup. |
Adding reference. |
||
Line 1:
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.
*Given a 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 | 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>.
*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>.
| |||