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- W2000681925 abstract "Following [Karciauskas, K., Peters, J., 2007. Concentric tessellation maps and curvature continuous guided surfaces. Computer Aided Geometric Design 24 (2) 99-111], we analyze surfaces arising as an infinite sequence of guided C^2 surface rings. However, here we focus on constructions of a too low degree to be curvature continuous also at the extraordinary point. To characterize shape and smoothness of such surfaces, we track a sequence of quadratic functions anchored in a fixed coordinate system. These 'anchored osculating quadratics' are easily computed in terms of determinants of surface derivatives. Convergence of the sequence of quadratics certifies curvature continuity. Otherwise, the range of the curvatures of the limit quadratics gives a measure of deviation from curvature continuity." @default.
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- W2000681925 date "2008-02-01" @default.
- W2000681925 modified "2023-10-16" @default.
- W2000681925 title "On the curvature of guided surfaces" @default.
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- W2000681925 doi "https://doi.org/10.1016/j.cagd.2007.06.001" @default.
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