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

dc.contributor.authorHarada, T.en_US
dc.contributor.authorKonnoa, K.en_US
dc.contributor.authorChiyokura, H.en_US
dc.date.accessioned2015-10-05T07:56:49Z
dc.date.available2015-10-05T07:56:49Z
dc.date.issued1991en_US
dc.description.abstractBlending 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.en_US
dc.description.seriesinformationEG 1991-Technical Papersen_US
dc.identifier.doi10.2312/egtp.19911038en_US
dc.identifier.issn1017-4656en_US
dc.identifier.urihttps://doi.org/10.2312/egtp.19911038en_US
dc.publisherEurographics Associationen_US
dc.titleVariable-Radius Blending by Using Gregory Patches in Geo- metric Modelingen_US
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