A Scan Line Algorithm for Rendering Curved Tubular Objects
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Output Sensitive Extraction of Silhouettes from Polygonal Geometry
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Approximate swept volumes of NURBS surfaces or solids
Computer Aided Geometric Design
Variable-radius offset curves and surfaces
Mathematical and Computer Modelling: An International Journal
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This article presents a general sweeping technique for nonuniform rational B-splines. This operator allows sweeps with several cross sections along a 3D path. One can scale the cross sections along the path according to the shape of a profile curve. The definition of the resulting surface is inherited from the initial curves, and you compute its control mesh from the control polygon of these curves. We shall consider several special cases, like straight lines and rational curves; characteristics of circles and straight lines are preserved.