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Blowing up: application to \(G^2\)-continuous 8-sided filling patch - MaRDI portal

Blowing up: application to \(G^2\)-continuous 8-sided filling patch (Q1849409)

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scientific article; zbMATH DE number 1837044
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English
Blowing up: application to \(G^2\)-continuous 8-sided filling patch
scientific article; zbMATH DE number 1837044

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    Blowing up: application to \(G^2\)-continuous 8-sided filling patch (English)
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    1 December 2002
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    A method is described for filling an \(n\)-sided hole, where \(5\leq n\leq 8\). The method interpolates \(n\) connected boundary curves of a given net of patches. The patches or surfaces defining the boundary curves can be of different kinds. The filling surface is defined on a rectangular domain. A class of blowing up pole-functions is introduced in order to build the filling surface. Sufficient conditions are established for the pole-functions to satisfy geometric continuity.
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    filling surface
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    blowing up pole-function
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    net of patches
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    geometric continuity
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