Data visualization using rational spline interpolation

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Abstract

A smooth curve interpolation scheme for positive, monotonic, and convex data has been developed. This scheme uses piecewise rational cubic functions. The two families of parameters, in the description of the rational interpolant, have been constrained to preserve the shape of the data. The rational spline scheme has a unique representation. The degree of smoothness attained is C1.

Keywords

Rational spline
Interpolation
Approximation
Visualization
Data

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