Seminars

ON THE ALGEBRAIC REPRESENTATION OF BISECTORS FOR LOW DEGREE SURFACES

Bisectors are geometric constructions appearing very often in CAD. For two given low degreeparametric surfaces, it will be shown a new approach to determine an algebraic representation oftheir bisector by using the so-called generalized Cramer rules and some suitable elimination. Thenew introduced approach allows to obtain easily a parametrization of the quadric-plane, quadric-cylinder or two developable surfaces bisector, which is rational in most cases (in the remaining casesthe parametrization involves one square root which is well-suited for approximation purposes).