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• W1993974580 abstract "The parameterization of rational Bézier surfaces greatly affects rendering and tessellation results. The uniformity and orthogonality of iso-parametric curves are two key properties of the optimal parameterization. The only rational Bézier surfaces with uniform iso-parametric curves are bilinear surfaces, and the only rational Bézier surfaces with uniform and orthogonal iso-parametric curves are rectangles. To improve the uniformity and orthogonality of iso-parametric curves for general rational Bézier surfaces, an optimization algorithm using the rational bilinear reparameterizations is presented, which can produce a better parameterization with the cost of degree elevation. Examples are given to show the performance of our algorithm for rendering and tessellation applications." @default.
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• W1993974580 date "2013-03-01" @default.
• W1993974580 modified "2023-10-18" @default.
• W1993974580 title "An algorithm to improve parameterizations of rational Bézier surfaces using rational bilinear reparameterization" @default.
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• W1993974580 doi "https://doi.org/10.1016/j.cad.2012.10.048" @default.
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