Abstract
An algorithm for filling smoothly n-sided holes in free form surfaces is presented. The solution is selected from a linear space of geometrically smooth splines by minimizing the thin plate energy. Compared to standard techniques, the efficiency of the boundary data approximation is improved significantly on using the recently developed orthogonality relations for cardinal B-splines in Sobolev spaces.
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Literatur
deBoor, C.: A practical guide to splines. Springer-Verlag (1978)
Reif, U.: Neue Aspekte in der Theorie der Freiformflächen beliebiger Topologie. Dissertation, Universität Stuttgart (1993)
Reif, U.: Biquadratic G-spline surfaces. CAGD 12 (1995) 193–205
Reif, U.: Orthogonality of cardinal B-splines in weighted Sobolev spaces. Preprint 95–20, Universität Stuttgart (1995)
Reif, U.: Uniform B-spline approximation in Sobolev spaces. Preprint 95–23, Universität Stuttgart (1995)
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© 1997 Springer-Verlag Berlin Heidelberg
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Höllig, K., Reif, U., Hahn, J. (1997). Glattes Füllen n-seitiger Lücken. In: Hoffmann, KH., Jäger, W., Lohmann, T., Schunck, H. (eds) Mathematik Schlüsseltechnologie für die Zukunft. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60550-5_29
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DOI: https://doi.org/10.1007/978-3-642-60550-5_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64453-5
Online ISBN: 978-3-642-60550-5
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