An "interpretation system" finds the likely mappings from portions of an image to real-world objects. An "interpretation policy" specifies when to apply which imaging operator, to which portion of the image, during every stage of interpretation. Earlier results compared a number of policies,and demonstrated that policies that select operators which maximize the information gain per cost, worked most effectively. However, those policies are "myopic" --- they rank the operators based only on their "immediate" rewards. This can lead to inferior overall results: it may be better to use a relatively expensive operator first, if that operator provides information that will significantly reduce the cost of the subsequent operators.