Abstract
The Gregory patch is the result of a modification of the Bezier patch using Gregory’s solution for the twist incompatibility in a Coons patch. The main feature of the Gregory patch is that the four cross boundary derivatives are independent of each other. We present a generalized form of a set of patches satisfying this and other properties of the Gregory patch. This generalized surface patch is a Bezier form whose control points are expressed as an interpolation between two points, similar to the interior points of the Gregory patch.
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© 1991 Springer-Verlag Tokyo
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Ueda, K., Harada, T. (1991). Generalization of a Family of Gregory Surfaces. In: Patrikalakis, N.M. (eds) Scientific Visualization of Physical Phenomena. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68159-5_24
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DOI: https://doi.org/10.1007/978-4-431-68159-5_24
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-68161-8
Online ISBN: 978-4-431-68159-5
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