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Basic Spline Theory
Mathematical Approximation to Splines
Two Dimensional Considerations
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500 mb winds 850 mb temperatures acceptable grid values band of influence Bergthorssen and Doos central United circulation model COLORADO STATE UNIVERSITY constraints corresponding spline analysis cubic equation CUBIC SPLINE TECHNIQUE D. B. Rao data value December 28 defined determined developed by Gilchrist DIMENSIONAL DATA FIELD endpoints error check exact solution Figure 16 Fowler and Wilson frontal characteristics Gilchrist and Cressman given set grid point value heights for central input parameter least squares locations are indicated meteorological middle data point middle point minimum number of standard numerical weather prediction objective analysis technique observation stations pieces of data point x.,y preliminary field Radiosonde locations set of points shown in Figure slope sphere Spline approximation Spline curve Spline passing standard deviations strain energy stream function subjective analyses succeeding grid point successive grid surface value temperatures for central third data points TWO-DIMENSIONAL DATA FIELD various pressure surfaces winds for central