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Generating the Be´zier points of a &bgr;-spline curve
Computer Aided Geometric Design
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The Mathematical Basis of the UNISURF CAD System
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IEEE Computer Graphics and Applications
Universal parametrization and interpolation on cubic surfaces
Computer Aided Geometric Design
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A bivariate rational interpolation with a bi-quadratic denominator
Journal of Computational and Applied Mathematics - Special issue: The international symposium on computing and information (ISCI2004)
Bounded Property and Point Control of a Bivariate Rational Interpolating Surface
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Edutainment '08 Proceedings of the 3rd international conference on Technologies for E-Learning and Digital Entertainment
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ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
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In this paper a new method is developed to create a space surface interpolation using only values of the function being interpolated. This method has some characteristics comparing with the present interpolation method. First, the interpolation flmction has a simple and explicit mathematical representation, which is convenient both in practical application and in theoretical study. Secondly, the interpolating surfaces are C1in the interpolating region under the condition that the interpolation is only based on the function values. Third, the interpolation surfaces could be varied as the parameters vary, thus, the interpolating surfaces can be modified by selecting suitable parameters under the condition that the interpolation data are not changed, and more important theoretically is that the uniqueness of the interpolating function for the given data would be replaced by the uniqueness of the interpolation for the given data and the parameters.