A FAST MULTIGRID ALGORITHM FOR ENERGY MINIMIZATION UNDER PLANAR DENSITY CONSTRAINTS

被引：2
|
作者：
Ron, Dorit [1 ]
Safro, Ilya [2 ]
Brandt, Achi [1 ]
机构：
[1] Weizmann Inst Sci, Dept Appl Math, IL-76100 Rehovot, Israel
[2] Argonne Natl Lab, Dept Math & Comp Sci, Argonne, IL 60439 USA
来源：
MULTISCALE MODELING & SIMULATION | 2010年 / 8卷 / 05期
关键词：
layout problems; graph drawing and visualization; density constraints; constrained optimization; geometric multigrid; full approximation scheme;
D O I：
10.1137/090771995
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The two-dimensional layout optimization problem reinforced by the efficient space utilization demand has a wide spectrum of practical applications. Formulating the problem as a nonlinear minimization problem under planar equality and/or inequality density constraints, we present a linear time multigrid algorithm for solving a correction to this problem. The method is demonstrated in various graph drawing (visualization) instances.
引用
收藏
页码：1599 / 1620
页数：22
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