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Computing intersections of rational patches

Kiciak P.

Machine Graphics and Vision

2002

Vol. 11, No. 4

431-454

A procedure os finding the intersection of rational patches is developed. It consists of adaptive division of the patches, convex hull test to reject pairs of disjoint pieces, normal vectors test that verifies some condition ensuring a simple enough shape of the pieces, computing end points of common arcs (described in a separate paper, [20]) and computind other points using the Newton method with pseudo-inversion. Some issues concering the reliability of this procedure are discussed.