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Start Over Author "Habib, Z." Journal international journal of computer mathematics
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2. G^2 TWO-POINT HERMITE RATIONAL CUBIC INTERPOLATION.

Author

Sakai, M. and Habib, Z.

Subjects
*INTERPOLATION, *HERMITE polynomials, *CUBIC curves, *CUBIC equations, *CURVATURE, *MATHEMATICAL singularities, *ALGEBRAIC curves
Abstract

We consider the problem of G^2 two-point Hermite interpolation by a rational cubic. Given two points with tangent vectors and curvatures, the necessary and sufficient conditions are placed on the weights of the rational cubic curve which ensures that (i) if the data suggest a C -shaped curve, the rational cubic interpolates a C -shaped curve without loops, cusps, or inflections, and (ii) if the data suggest an S -shaped curve, the rational cubic interpolates an S -shaped curve with a single inflection, no loops and no cusps. [ABSTRACT FROM AUTHOR]

Published
2002

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