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    Variable-Radius Blending by Using Gregory Patches in Geo- metric Modeling

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    EUROGRAPHICS_91pp507_518.pdf (309.2Kb)
    Date
    1991
    Author
    Harada, T.
    Konnoa, K.
    Chiyokura, H.
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    Abstract
    Blending surfaces, which connect two curved surfaces smoothly, often appear in geometric modeling. Many of the blending surfaces are variable-radius blends. Variableradius blending surfaces are very important in the design process, but it is difficult to generate such surfaces with existing geometric modelers. This paper proposes a new method to generate variable-radius blends. Instead of the popular rolling-ball method, we adopt “sliding-circle” blending. A circle slides on two curved surfaces so that the circle is perpendicular to a specified control curve, and its trajectory defines a blending surface. A variable-radius blend can be generated if the radius of the circle changes smoothly. In our method, the shape of the variable-radius blend is represented by Gregory patches. The Gregory patch is an extension of a Bezier patch and two Gregory patches can be connected together with tangential continuity. The characteristics of the Gregory patch are suitable for representing blending surfaces with geometric modelers.
    BibTeX
    @inproceedings {egtp.19911038,
    booktitle = {EG 1991-Technical Papers},
    editor = {},
    title = {{Variable-Radius Blending by Using Gregory Patches in Geo- metric Modeling}},
    author = {Harada, T. and Konnoa, K. and Chiyokura, H.},
    year = {1991},
    publisher = {Eurographics Association},
    ISSN = {1017-4656},
    DOI = {10.2312/egtp.19911038}
    }
    URI
    http://dx.doi.org/10.2312/egtp.19911038
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    • EG1991 Proceedings (Technical Papers)
    • EG1991 Proceedings (Technical Papers)

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    Eurographics Association copyright © 2013 - 2020 
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    Theme by @mire NV
    System hosted at  Graz University of Technology.
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