Abstract
Knowing the support tells us how much of the limit curve is influenced when one control point is moved. We also want to know how the overall position of the curve is influenced by the set of control points as a whole. This is particularly important when calculating intersections of, for example, a subdivision curve with some plane. We express this in terms of enclosures, simply shaped pieces of space within which we can guarantee that the curve lies.
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© 2010 Springer-Verlag Berlin Heidelberg
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Sabin, M. (2010). Enclosure. In: Analysis and Design of Univariate Subdivision Schemes. Geometry and Computing, vol 6. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13648-1_13
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DOI: https://doi.org/10.1007/978-3-642-13648-1_13
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