Cardinal interpolation and spline fucntions V. The B-splines for cardinal Hermite interpolation
نویسندگان
چکیده
منابع مشابه
Cardinal Hermite Spline Interpolation with Shifted Nodes
Generalized cardinal Hermite spline interpolation is considered. A special case of this problem is the classical cardinal Hermite spline interpolation with shifted nodes. By means of a corresponding symbol new representations of the cardinal Hermite fundamental splines can be given. Furthermore, a new efficient algorithm for the computation of the cardinal Hermite spline interpolant is obtained...
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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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A new method for modeling functions that intersect given points is developed and demonstrated. This method yields a generally non-Gaussian probability density of y given x that has properties which are often desired in practice. It is shown that this density can have a smoother mean function and a variance which is never larger than that of a classic Gaussian process density.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1973
ISSN: 0024-3795
DOI: 10.1016/0024-3795(73)90034-7