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The Computer Journal 1993 36(3):282-285; doi:10.1093/comjnl/36.3.282
© 1993 by British Computer Society
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Transforming Ill-Continued Constrained Problems using Projections

B. J. Oommen *

School of Computer Science, Carleton University, Ottawa K1S 5B6, Canada

In this short note we consider the general problem of solving certain ill-continued constraint problems. We propose a strategy of transforming the original problem by projecting the constraint onto an auxiliary surface (e.g. a hyperplane) in such a way that the transformed problem possesses a well-defined solution. The technique has been utilized to tackle two ill-conditioned problems - the Constrained Angle Bisector Problem and a Constrained Location Problem. The former problem, which has applications in image processing, involves bisecting an arbitrary angle subject to a simple quadratic constraint. The latter problem involves a location assignment problem in which the locations are external to the boundary from which services are provided.

Received December 1991.

* School of Computer Science, Carleton University, Ottawa K1S 5B6, Canada


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