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A Tchebycheffian extension of multi-degree B-splines: Algorithmic computation and properties
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<span title="2020-01-22">2020</span>
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arXiv
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In this paper we present an efficient and robust approach to compute a normalized B-spline-like basis for spline spaces with pieces drawn from extended Tchebycheff spaces. ...
The B-spline-like basis shares many characterizing properties with classical univariate B-splines and may easily be incorporated in existing spline codes. ...
For polynomial B-splines of non-uniform degree, so-called multidegree B-splines, Bézier extraction has been analyzed and successfully applied in [41, 42] . ...
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A General Class of C1 Smooth Rational Splines: Application to Construction of Exact Ellipses and Ellipsoids
<span title="">2020</span>
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<a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wquzxyrherhzfhmbojag5cxcra" style="color: black;">Computer-Aided Design</a>
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A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit <a rel="external noopener" href="https://repository.tudelft.nl/islandora/object/uuid%3A92180757-f15e-4709-b129-88abe71798b1/datastream/OBJ/download">the original URL</a>. The file type is <code>application/pdf</code>.
In this paper, we describe a general class of C 1 smooth rational splines that enables, in particular, exact descriptions of ellipses and ellipsoids -some of the most important primitives for CAD and CAE ...
Finally, all C 1 spline constructions yield spline basis functions that are locally supported and form a convex partition of unity. ...
He is a member of Gruppo Nazionale per il Calcolo Scientifico, Istituto Nazionale di Alta Matematica. ...
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