US 7,484,197 B2
Minimum layout perturbation-based artwork legalization with grid constraints for hierarchical designs
Robert J. Allen, Jericho, Vt. (US); Michael S. Gray, Fairfax, Vt. (US); Fook-Luen Heng, Yorktown Heights, N.Y. (US); Jason D. Hibbeler, Williston, Vt. (US); Kevin W. McCullen, Essex Junction, Vt. (US); Rani R. Narayan, San Jose, Calif. (US); Robert F. Walker, St. George, Vt. (US); and Xin Yuan, Williston, Vt. (US)
Assigned to International Business Machines Corporation, Armonk, N.Y. (US)
Filed on Apr. 14, 2006, as Appl. No. 11/279,758.
Prior Publication US 2007/0245283 A1, Oct. 18, 2007
Int. Cl. G06F 17/50 (2006.01)
U.S. Cl. 716—10 20 Claims
OG exemplary drawing
 
1. A method comprising:
extracting a hierarchical grid constraint set;
modeling one or more critical objects of at least one cell as a variable set;
solving a linear programming problem based on the hierarchical grid constraint set with the variable set to provide initial locations of the critical objects of the at least one cell; and
determining target on-grid locations of the one or more critical objects in the at least one cell using the results of the linear programming solution.