Generalized geometric cubic splines
A constructive approach has been adopted to build interpolatory and freeform cubic spline curves with a more general continuity than -continuity. This method provides not only a large variety of very interesting shape controls like biased, point and interval tensions but, as a special case, also rec...
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| Format: | article |
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1996
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| Online Access: | https://eprints.kfupm.edu.sa/id/eprint/14112/1/14112_1.pdf https://eprints.kfupm.edu.sa/id/eprint/14112/2/14112_2.doc |
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| Summary: | A constructive approach has been adopted to build interpolatory and freeform cubic spline curves with a more general continuity than -continuity. This method provides not only a large variety of very interesting shape controls like biased, point and interval tensions but, as a special case, also recovers a number of spline methods like -spline of G.M. Nielson (1974), -splines, -splines of W. Boehm (1995) and weighted -splines. A discussion, for the conversion of complex continuity constraints into simple ones, has also been made for the practical implementation point of view |
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