Interpolation by Multivariate Splines
نویسندگان
چکیده
منابع مشابه
A Natural Formulation of Quasi-interpolation by Multivariate Splines
A quasi-interpolation formula based on discrete function values is given in the form of a multivariate spline series that yields the local approximation order characterized by the Fix-Strang conditions. This formula can be considered as a partial sum of the formal Neumann series expansion of the formal interpolation operator, and hence, justifies that "quasi-interpolation" is indeed an appropri...
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Introduction In industrial designing and manufacturing, it is often required to generate a smooth function approximating a given set of data which preserves certain shape properties of the data such as positivity, monotonicity, or convexity, that is, a smooth shape preserving approximation. It is assumed here that the data is sufficiently accurate to warrant interpolation, rather than least ...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1988
ISSN: 0025-5718
DOI: 10.2307/2008586