04554625 is referenced by 64 patents and cites 2 patents.

The overall arrangement of a number of non-overlapping rectangles with constraints on their size and shape, may be generated with relation to a number of objective functions such as, size and shape of the enveloping rectangle, size of an interconnecting network, and distance between pairs of individual rectangles, by first embedding a distance space, reflecting the desired proximity structure, in the plane; next, by refining containment relations, fixing the relative positions of rectangles within such a containment in accordance with the corresponding positions in the embedding; and on the basis thereof estimating the space required for the local realization of the interconnecting network in a configuration satisfying the constraints on the individual rectangles, and optimal with respect to any quasi-concave objective function on the dimensions of the enveloping rectangle that is monotone in its arguments. The method can be implemented even on relatively small computers. Its major application is in the generation of mask patterns of complex semiconductor integrated circuits, especially when a given functional structure must be preserved by containment in rectangles.

Title
Method for generating an optimized nested arrangement of constrained rectangles
Application Number
6/504206
Publication Number
4554625
Application Date
June 14, 1983
Publication Date
November 19, 1985
Inventor
Ralph H J M Otten
Croton-on-Hudson
NY, US
Agent
Thomas P Dowd
George E Clark
Assignee
International Business Machines Corporation
NY, US
IPC
B26D 5/00
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