CUBIC SPLINE, A CURVE FITTING ROUTINE
A method of mathematically fitting a curve through a given ordered set of points was developed and programmed in fortran computer language. The fitted curve, which is made up of a series of normalized cubic polynomials, very nearly approximates the curve generated by passing an infinitely thin spline through the sets of points and is, therefore, called a cubic spline''. The curve has the prop. erties of continuous position, slope, and curvature. The restraints placed upon the cubic spline may be relaxed by applying an additional feature which permits the points to be adjusted by, at most, some preset value. This has the effect of smoothing the curve in the sense that it reduces the strain energy stored in it while preserving the general shape of the curve. Tool centers for numerically controlled tools are found with the interpolation and offsetting methods included. (auth)
- Research Organization:
- Union Carbide Nuclear Co. Y-12 Plant, Oak Ridge, Tenn.
- DOE Contract Number:
- W-7405-ENG-26
- NSA Number:
- NSA-17-018665
- OSTI ID:
- 4731503
- Report Number(s):
- Y-1400
- Resource Relation:
- Other Information: Orig. Receipt Date: 31-DEC-63
- Country of Publication:
- United States
- Language:
- English
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