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Intersection of Parametric Surfaces and a Plane

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2 Author(s)
Lee, R.B. ; R.B.Lee & Associates, Rensselaer Polytechnic Institute ; Fredricks, D.A.

An algorithm is presented for approximating all the intersection curves between a plane and an arbitrary parametric surface patch. This is accomplished by a two-stage recursive procedure that simultaneously generates approximations to the curve(s) in 3-D space and the associated pre-image curve(s) in 2-D parameter space. The algorithm provides an accurate mathematical representation based on a tolerance that can be defined by the particular application.

Published in:

Computer Graphics and Applications, IEEE  (Volume:4 ,  Issue: 8 )

Date of Publication:

Aug. 1984

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