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

页码：1599 / 1620

页数：22

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