## Rational-spline approximation with automatic tension adjustmentJames R. Schiess, Patricia A. Kerr, United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1984 - Mathematics - 10 pages |

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3t2 Pku appendix approx approximation procedure APPROXIMATION WITH AUTOMATIC automatic adjustment AUTOMATIC TENSION ADJUSTMENT coefficients Cofactors of subinterval column vector containing consecutive knots consecutive pairs constrained weighted least-squares covariance matrix cubic function defined by consecutive deviation of rational dxk+i equation 12 error evaluated excessive number fcth knot fit to terrain Fk(x Frost and Kinzel Hky'k imation independent variable interpolating interval defined joining the knots Kinzel ref knot abscissas knot interval Langley Research Center line joining line segment linear function matrix definitions matrix inverse matrix of cofactors matrix transpose method of least NASA nonzero entries number of iterations ordinates of data pair of knots Performing Organization RATIONAL SPLINE FIT rithm second derivatives set all tension spline from line spline on interval tension adjustment algorithm tension parameters Pk terrain elevation data user-specified criterion Vk+i weighted least-squares problem x x x x Xfc+i yk and y'k