Remould Catmull-Rom interpolation basis functions and approximative properties
The paper utilizes polynomial reproducibility and local support to modify the famous Catmull Rom interpolation basis function,obtaining new interpolation basis functions,generating new interpolation operators,and also obtaining the precise Lebesgue constant of the new interpolation operator.The convergence speed of the new interpolation operator approaching continuous functions is estimated,and both theoretical and numerical examples show that the approximation effect of the new interpolation operator is better than other types of interpolation operators.
interpolationmodulus of continuityapproximation errorLebesgue constantbasis functions
万方数据
维普
