Abstract
In this short note we consider the general problem of solving certain ill-conditioned constraint problems. We propose a strategy of transforming the original problem by projecting the constraint onto an auxillary surface (e.g. a hyperplane) in such a way that the transformed problem possesses a weel-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
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