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G^2 TWO-POINT HERMITE RATIONAL CUBIC INTERPOLATION.
- Source :
-
International Journal of Computer Mathematics . Nov2002, Vol. 79 Issue 11, p1225-1231. 7p. 5 Diagrams. - Publication Year :
- 2002
-
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]
Details
- Language :
- English
- ISSN :
- 00207160
- Volume :
- 79
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- International Journal of Computer Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 11157875