SWEEPING SURFACES GENERATED BY A CLASS OF GENERALIZED QUASICUBIC INTERPOLATION SPLINE
In this article we will present a method for the model of interpolation sweep surfaces by C^x- continuous generalized quasi-cubic interpolation spline. Once given some key position, orientation and some points which are passed through by the spline and initial cross-section curves, the corresponding...
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| Format: | Article |
| Language: | English |
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SORGING
2012-09-01
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| Series: | Journal of Industrial Design and Engineering Graphics |
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| Online Access: | http://sorging.ro/jideg/index.php/jid/article/view/108 |
| Summary: | In this article we will present a method for the model of interpolation sweep surfaces by C^x- continuous generalized quasi-cubic interpolation spline. Once given some key position, orientation and some points which are passed through by the spline and initial cross-section curves, the corresponding sweep surface can be constructed by the introduced spline function without calculating control inversely as in the case of Bspline and Bezier methods or solving equation system as in the case of cubic polynomial interpolation spline. A local control technique is also proposed for sweep surfaces using scaling function, which allows the user to change the shape of an object intuitively and effectively. Based on these results, we will give some examples to show how the method is used to model surfaces. |
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| ISSN: | 1843-3766 2344-4681 |