Abstract
Many practically important problems in computational geometry may be regarded as a generalization of "clipping," and may be formulated precisely in terms of a function called "membership classification." This function operates on a pair of point sets called the reference and candidate sets; it segments the candidate into three subsets which are "inside," "outside," and "on the boundary of" the reference. Examples of classification problems include clipping, polygon intersection, point inclusion, and solid interference.
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