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In many practical problems, such as geological exploration, forging technology and medical imaging, among others, it has been detected that the scattered data are usually arranged in parallel lines. In this paper, a new approach to construct a bivariate rational interpolation over triangulation is presented, based on scattered data in parallel lines. The main advantage of this method comparing with...
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...
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