Rotational and Helical Surface Approximation for Reverse Engineering

Thomas Randrup, Helmut Pottmann

    Research output: Book/ReportReportResearchpeer-review


    Given a surface in 3-space or scattered points from a surface, we investigate the problem of deciding whether the data may be fitted well by a cylindrical surface, a surface of revolution or a helical surface. Furthermore, we show how to compute an approximating surface and put special emphasis to basic shapes used in computer aided design. The algorithms apply methods of line geometry to the set of surface normals in combination with techniques of numerical approximation. The presented results possess applications in reverse engineering and computer aided manufacturing.
    Original languageEnglish
    Number of pages14
    Publication statusPublished - 1997

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