Abstract
Two patches join smoothly if they can be (re-)parametrized so that their derivatives up to some order are identical along a common boundary curve. For any fixed reparametrization, this smoothness condition means that the derivatives of both patches at any common point are related by a linear transformation. This is analogous to the curve case.
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© 2002 Springer-Verlag Berlin Heidelberg
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Prautzsch, H., Boehm, W., Paluszny, M. (2002). Gk-constructions. In: Bézier and B-Spline Techniques. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04919-8_14
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DOI: https://doi.org/10.1007/978-3-662-04919-8_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07842-2
Online ISBN: 978-3-662-04919-8
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