S. Sattanathan, N.C. Narendra, et al.
CONTEXT 2005
Given an undirected n-vertex graph G and a set of n points in Rd, we wish to embed the vertices of G onto the points so as to minimize the total embedded edge length. Important special cases of this geometric embedding problem as those in which G is a binary tree, a cycle, or a star. We give fast approximation algorithms for embedding these graphs on the line and in the plane in several metrics. Our principal techniques are: a notion of "approximate geometric sorting" that can be computed in linear time, and fast approximation schemes for the minimum spanning tree problem in the plane. We expect that these approximation techniques can be applied to many geometric problems besides the embedding problem. We give the example of approximating the convex hull of a set of points in the plane. © 1992.
S. Sattanathan, N.C. Narendra, et al.
CONTEXT 2005
Yao Qi, Raja Das, et al.
ISSTA 2009
Michael Ray, Yves C. Martin
Proceedings of SPIE - The International Society for Optical Engineering
Renu Tewari, Richard P. King, et al.
IS&T/SPIE Electronic Imaging 1996