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Smooth B-Spline Surface Approximation to Scattered Data

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Reverse Engineering

Abstract

An algorithm for approximation of arbitrary clouds of points with integral tensor product B-spline surfaces is presented. The clouds may be scattered may have holes and may have arbitrary boundaries. The usual methods in Reverse Engineering subdivide the given cloud into rectangular parts and approximate these parts individually. In the presented paper an overall algorithm for tensor product B-spline approximation with free boundary curves is introduced.

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© 1996 B. G. Teubner Stuttgart

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Hoschek, J., Dietz, U. (1996). Smooth B-Spline Surface Approximation to Scattered Data. In: Hoschek, J., Dankwort, W. (eds) Reverse Engineering. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-84819-2_12

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  • DOI: https://doi.org/10.1007/978-3-322-84819-2_12

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-519-02633-4

  • Online ISBN: 978-3-322-84819-2

  • eBook Packages: Springer Book Archive

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