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2006•Journal of Hangzhou Dianzi UniversityRequires access

Fitting of Curve Based on the Ship Lofting

Jianlan Chen

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Abstract

Based on the analysis of T-Bezier basis functions and terminal properties,the control parameter and points of T-Bezier would be chosen.A 3-dimension T-Bezier curve is constructed to fitting the ship line-plane cubic piecewise curve.Study shows that the solution exists locally,the T-Bezier capacity of control and fitting curve shape would be strengthened.The method was direct and simple,and it is easy to operate.The fitting could be satisfied with ship lofting.The results can also be extended to fitting other curve and surface modeling with T-Bezier.

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What this paper is about

Based on the analysis of T-Bezier basis functions and terminal properties,the control parameter and points of T-Bezier would be chosen.A 3-dimension T-Bezier curve is constructed to fitting the ship line-plane cubic piecewise curve.Study shows that the solution exists locally,the T-Bezier capacity of control and fitting curve shape would be strengthened.The method was direct and simple,and it is easy to operate.The fitting could be satisfied with ship lofting.The results can also be extended to fitting other curve and surface modeling with T-Bezier.

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Available abstract

Based on the analysis of T-Bezier basis functions and terminal properties,the control parameter and points of T-Bezier would be chosen.A 3-dimension T-Bezier curve is constructed to fitting the ship line-plane cubic piecewise curve.Study shows that the solution exists locally,the T-Bezier capacity of control and fitting curve shape would be strengthened.The method was direct and simple,and it is easy to operate.The fitting could be satisfied with ship lofting.The results can also be extended to fitting other curve and surface modeling with T-Bezier.

Key concepts: Bézier curve, Curve fitting, Piecewise, Dimension (graph theory), Line (geometry), Surface (topology), Mathematics, Data point

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