\(C^2\)- (\(C^3\)-)continuous interpolation spline curve and surface (Q1389102)
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scientific article; zbMATH DE number 1164239
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^2\)- (\(C^3\)-)continuous interpolation spline curve and surface |
scientific article; zbMATH DE number 1164239 |
Statements
\(C^2\)- (\(C^3\)-)continuous interpolation spline curve and surface (English)
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15 September 1998
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The authors develop an approach to the regular interpolation of given 2D or 3D data which are ordered in a certain reasonable way. The interpolants are constructed by tensor products of one-dimensional splines. At first a method of \(C^2\) biquintic composite surfaces is presented. Then a \(C^3\) interpolation spline surface construction method is considered. Some desirable properties of the presented interpolation schemes, such as second-order or third-order continuity, locality, readiness of implementation, are established. Finally, a numerical example to illustrate the new method is given.
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interpolation
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spline curves
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spline surfaces
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computer-aided geometric design
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numerical example
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