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A Fast Multigrid Algorithm for Energy Minimization Under Planar Density Constraints

Data Structures and Algorithms 2009-02-19 v1 Mathematical Software Numerical Analysis

Abstract

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 correction to this problem. The method is demonstrated on various graph drawing (visualization) instances.

Keywords

Cite

@article{arxiv.0902.3208,
  title  = {A Fast Multigrid Algorithm for Energy Minimization Under Planar Density Constraints},
  author = {Dorit Ron and Ilya Safro and Achi Brandt},
  journal= {arXiv preprint arXiv:0902.3208},
  year   = {2009}
}
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