Title: Tangent direction controlled subdivision scheme for curve
Abstract:This paper discusses a new non-linear tangent direction controlled subdivision scheme for curve interpolation. Given a sequence of points with their tangent directions, every adjacent pair of points a...This paper discusses a new non-linear tangent direction controlled subdivision scheme for curve interpolation. Given a sequence of points with their tangent directions, every adjacent pair of points and their tangent directions make a new point and its tangent direction, this operation generates a new sequence of points and their tangent directions, this is one step of subdivision. Repeat this process continuously, this paper proves that the limit of the subdivision operation is a G1 continuous curve, interpolating the given conditions (positions series and their tangent directions). Examples are presented, and some reconstruct circular arcs.Read More
Publication Year: 2010
Publication Date: 2010-07-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 4
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