2003Mechanical Science and TechnologyRequires access

A New Method of Spline Approach

Fuyong Lin

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Abstract

Spline function is widely applied in many engineering fields, especially in the face building. The traditional method of building a spline curve is to calculate the controlling points of spline curve by the given points. When the number of given points is very great the calculation of controlling points will be very great. In this paper, orthogonal spline functions are constructed, and the spline which go through the given points is obtained by using these spline functions. This method will greatly reduce the computation of building spline curves and easily carry out the parallel computation.

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What this paper is about

Spline function is widely applied in many engineering fields, especially in the face building. The traditional method of building a spline curve is to calculate the controlling points of spline curve by the given points. When the number of given points is very great the calculation of controlling points will be very great. In this paper, orthogonal spline functions are constructed, and the spline which go through the given points is obtained by using these spline functions. This method will greatly reduce the computation of building spline curves and easily carry out the parallel computation.

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Available abstract

Spline function is widely applied in many engineering fields, especially in the face building. The traditional method of building a spline curve is to calculate the controlling points of spline curve by the given points. When the number of given points is very great the calculation of controlling points will be very great. In this paper, orthogonal spline functions are constructed, and the spline which go through the given points is obtained by using these spline functions. This method will greatly reduce the computation of building spline curves and easily carry out the parallel computation.

Key concepts: Hermite spline, Spline (mechanical), Thin plate spline, M-spline, Computation, Smoothing spline, Perfect spline, Mathematics

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