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Surface Design using Locally Interpolating Subdivision Schemes

✍ Scribed by Adi Levin

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 345 KB
Volume: 104
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1999.3444

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✦ Synopsis

Non-uniform multivariate subdivision schemes are constructed, which generate limit functions interpolating some of the initial control points. Our schemes differ from the known interpolatory subdivision schemes, in that only some of the original control points are interpolated, and not the control points in every level. These new schemes are combinations of a non-interpolatory schemes with different local schemes near some of the original control points. They generate smooth surfaces interpolating given points, using stencils of small support. Next, it is shown how to modify known subdivision schemes so that the limit surfaces generated by them interpolate given normal vectors at given interpolation points. 2000

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