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A bivariate rational interpolation method with parameters was created which was based on function values and partial derivatives, it is called the bivariate rational interpolation with mixing conditions. This paper will deal with the bounded property and the point control method of the interpolating surface. It is proved that the values of the interpolating function in the interpolation region are...
This paper discuss the property of symmetric data interpolation surface. For the given data, when the parameters very, the interpolating surface varies, so the interpolating surfaces can be modified by selecting suitable parameters under the condition that the interpolation data are not changed. The problem is that when the two parameters vary, how does the interpolating surface change. The discussion...
The magnitudes of the endpoint tangent vectors are optimized in the Hermite interpolation process so that the curve length of the optimized geometric Hermite curve is a minimum. The tangent angle constraints ensuring an optimized geometric Hermite curve geometrically smooth are discussed. For the cases in which the given tangent vectors do not satisfy the constraints, new methods for constructing...
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