Geometric Design of Developable Composite Bézier Surfaces
نویسندگان
چکیده
منابع مشابه
Bézier developable surfaces
In this paper we address the issue of designing developable surfaces with Bézier patches. We show that developable surfaces with a polynomial edge of regression are the set of developable surfaces which can be constructed with Aumann’s algorithm. We also obtain the set of polynomial developable surfaces which can be constructed using general polynomial curves. The conclusions can be extended to...
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Geometric design of quadratic and cubic developable Be Âzier patches from two boundary curves is studied in this paper. The conditions for developability are derived geometrically from the de Casteljau algorithm and expressed as a set of equations that must be ful®lled by the Be Âzier control points. This set of equations allows us to infer important properties of developable Be Âzier patches t...
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ژورنال
عنوان ژورنال: Computer-Aided Design and Applications
سال: 2004
ISSN: 1686-4360
DOI: 10.1080/16864360.2004.10738296