A Fast Multigrid Algorithm for Energy Minimization under Planar Density Constraints

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. Key words. Multigrid methods; Optimization, Inequality constraints, Models, numerical methods; Layout problems AMS subject classifications. 65M55, 80M50, 65C20

• Type: Journal
• Year: 2010
• Where: MMAS
• Authors: Dorit Ron, Ilya Safro, Achi Brandt
• Keywords: Inequality Density Constraints, Intelligent Agents, Layout Optimization Problem, MMAS 2010, Nonlinear Minimization Problem