Publication Detail

Surface Intersections for Geometric Modeling

Nicholas M. Patrikalakis, P V. Prakash
7 pp.
MITSG 91-23J

The authors address a way of evaluating planar algebraic curves in the context of the intersection of algebraic surfaces with piecewise continuous rational polynomial parametric surface patches. The method combines the advantageous features of analytic representation of the governing equation of the algebraic curve in the Bernstein basis within a rectangular domain, adaptive subdivision and polyhedral faceting techniques, and the computation of turning and singular points to provide the basis for a reliable and efficient solution procedure. The method has been successfully tested in tracing complex algebraic curves and in solving intersection problems with diverse features.

type: Technical reports

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