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Implicitizing ruled translational surfaces. (English) Zbl 1381.65017

Summary: A ruled translational surface is a rational tensor product surface generated by translating a rational space curve along a straight line or equivalently translating a straight line along a rational space curve. We show how to compute the implicit equation of a ruled translational surface from two linearly independent vectors that are perpendicular to the generating line of the surface.

MSC:

65D17 Computer-aided design (modeling of curves and surfaces)
13D02 Syzygies, resolutions, complexes and commutative rings
16E05 Syzygies, resolutions, complexes in associative algebras

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References:

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