摘要
A piecewise cubic curve fitting algorithm preserving monotonicity of the data without modification of the assigned slopes is proposed. The algorithm has the same order of convergence as Yan's algorithm[8] and Gasparo-Morandi's algorithm[5] for accurate or 0(h(q)) accUrate given data, but it has a more visually pleasing curve than those two algorithms. We also discuss the convergence order of cubic rational interpolation for 0(h(q)) accurate data.
A piecewise cubic curve fitting algorithm preserving monotonicity of the data without modification of the assigned slopes is proposed. The algorithm has the same order of convergence as Yan's algorithm[8] and Gasparo-Morandi's algorithm[5] for accurate or 0(h(q)) accUrate given data, but it has a more visually pleasing curve than those two algorithms. We also discuss the convergence order of cubic rational interpolation for 0(h(q)) accurate data.
基金
The Project Supported by National Natural Science Foundation of China.
