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- W2006584388 abstract "The computations of curves and surfaces points for CAD modeling are numerous and important. In the case of modeling using the Be´zier method, these may be achieved either with the De Casteljau algorithm in the Bernstein basis, or with the Horner algorithm in the power basis. The De Casteljau algorithm requires a greater number of operations than Horner's. However, we show that the equations of curves and surfaces in the power basis may be affected by a very important loss of significant digits on the polynomials coefficient; this is due to the required conversion matrices which are ill-conditioned. Examples are given. We conclude that the use of the Horner algorithm should be avoided for the computations of curves and surfaces points with the Be´zier method." @default.
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- W2006584388 date "1989-05-01" @default.
- W2006584388 modified "2023-10-12" @default.
- W2006584388 title "The numerical problem of using Be´zier curves and surfaces in the power basis" @default.
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- W2006584388 doi "https://doi.org/10.1016/0167-8396(89)90015-0" @default.
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