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Osculatory interpolation

โœ Scribed by M. Sakai

Book ID
104304878
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
134 KB
Volume
18
Category
Article
ISSN
0167-8396

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โœฆ Synopsis

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

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