2011•Computer Engineering and Applications JournalRequires access

Developable B-spline surface for interpolating two parallel planar curves

Quanyuan Wu

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Abstract

When the two B-spline boundary curves of the ruled surface are in two parallel planes,a necessary and sufficient condition for a developable B-spline ruled surface of degree(n,n+1)is derived,and the developable B-spline surfaces of degree(2,3) are constructed.A necessary and sufficient condition for a developable B-spline convex ruled surface of degree(n,n+1)is obtained.A few developable B-spline ruled surfaces of degree(2,3)are given.

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When the two B-spline boundary curves of the ruled surface are in two parallel planes,a necessary and sufficient condition for a developable B-spline ruled surface of degree(n,n+1)is derived,and the developable B-spline surfaces of degree(2,3) are constructed.A necessary and sufficient condition for a developable B-spline convex ruled surface of degree(n,n+1)is obtained.A few developable B-spline ruled surfaces of degree(2,3)are given.

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Available abstract

When the two B-spline boundary curves of the ruled surface are in two parallel planes,a necessary and sufficient condition for a developable B-spline ruled surface of degree(n,n+1)is derived,and the developable B-spline surfaces of degree(2,3) are constructed.A necessary and sufficient condition for a developable B-spline convex ruled surface of degree(n,n+1)is obtained.A few developable B-spline ruled surfaces of degree(2,3)are given.

Key concepts: Developable surface, Mathematics, B-spline, Geometry, Spline (mechanical), Regular polygon, Surface (topology), Degree (music)

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