Many-knot Spline With Fuctions Of Shape Modification Parameters

The many-knot spline function has many advantages such as explicit solutions, localization and so on. It is relatively ideal for such functions to fit data changing gently, but large errors would be generated in case of functions with high-frequency. Based on such consideration, this article combines the shape modification parameter functions into the many-knot spline interpolation to remedy its insufficiency. The parameter function has a number of variable parameters, each of them can produce different effect for shape modification. The curve with parameter function has the advantages such as localization and preservation of convexity, can choose and modify freely the support interval of the interpolating curve, can control the degree of continuity at the points between the modified and unmodified intervals. Such curve has more explicit goal and higher freedom. Experiments indicate that this method has a very good effect.