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Intersection of parametric surfaces using lookup tablesWhen primitive structures in the form of parametric surfaces are combined and modified interactively to form complex intersecting surfaces, it becomes important to find the curves of intersection. One must distinguish between finding the shape of the intersection curve, which may only be useful for display purposes, and finding an accurate mathematical representation of the curve, which is important for any meaningful geometric modeling, analysis, design, or manufacturing involving the intersection. The intersection curve between two or more parametric surfaces is important in a variety of computer-aided design and manufacture areas. A few examples are shape design, analysis of groins, design of fillets, and computation of numerically controlled tooling paths. The algorithm presented here provides a mathematical representation of the intersection curve to a specified accuracy. It also provides the database that can simplify operations such as hidden-surface removal, surface rendering, profile identification, and interference or clearance computations.
Document ID
Acquisition Source
Legacy CDMS
Document Type
Hanna, S. L.
(Cornell Univ. Ithaca, NY, United States)
Abel, J. F.
(Cornell Univ. Ithaca, NY, United States)
Greenberg, D. P.
(Cornell Univ. Ithaca, NY, United States)
Date Acquired
August 12, 2013
Publication Date
March 1, 1984
Publication Information
Publication: NASA. Langley Research Center Computer-Aided Geometry Modeling
Subject Category
Computer Programming And Software
Accession Number
Distribution Limits
Work of the US Gov. Public Use Permitted.
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