2013Manufacturing Technology & Machine ToolRequires access

Modification algorithm of Three B Spline curve interpolation technology

Wanjun Zhang

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Abstract

A fixed interpolation algorithm was presented in this paper.A theoretical analysis of the three B spline curve recursive formula of Taylor development of first-order,derivation of two order in the interpolation cycle under the condition of certain interpolation increment only and interpolation speed.The article achieved the purpose of correcting the three B spline curve of interpolation by changing the interpolation increments.The algorithm is correct through specific examples in Matlab7.0 verifies.It can both improve the interpolation operation efficiency and save the calculation time,which realize the spline curve interpolation.

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What this paper is about

A fixed interpolation algorithm was presented in this paper.A theoretical analysis of the three B spline curve recursive formula of Taylor development of first-order,derivation of two order in the interpolation cycle under the condition of certain interpolation increment only and interpolation speed.The article achieved the purpose of correcting the three B spline curve of interpolation by changing the interpolation increments.The algorithm is correct through specific examples in Matlab7.0 verifies.It can both improve the interpolation operation efficiency and save the calculation time,which realize the spline curve interpolation.

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Available abstract

A fixed interpolation algorithm was presented in this paper.A theoretical analysis of the three B spline curve recursive formula of Taylor development of first-order,derivation of two order in the interpolation cycle under the condition of certain interpolation increment only and interpolation speed.The article achieved the purpose of correcting the three B spline curve of interpolation by changing the interpolation increments.The algorithm is correct through specific examples in Matlab7.0 verifies.It can both improve the interpolation operation efficiency and save the calculation time,which realize the spline curve interpolation.

Key concepts: Spline interpolation, Interpolation (computer graphics), Stairstep interpolation, Mathematics, Nearest-neighbor interpolation, Algorithm, Linear interpolation, Bilinear interpolation

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