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Seventh Pacific Conference on Computer Graphics and Applications (PG'99)
A Scan Line Algorithm for Rendering Curved Tubular Objects
Seoul, Korea
October 05-October 07
ISBN: 0-7695-0293-8
Tomoyuki Nishita, University of Tokyo
Henry Johan, University of Tokyo
Parametric surfaces and implicit surfaces are generally used for representing curved surfaces in CAD/CG Systems. This paper discusses a curved tubular object which is a surface swept by a sphere/circle moving along a curve. For the trajectory curve, a 3D B?zier curve is employed, and its radius can be varied along the curve. In general, its surface cannot be defined by a closed form, while a high degree of polynomial must be solved for ray/surface intersection. This paper proposes an effective rendering method which uses a scan line algorithm for detecting curved tubular objects on the projection plane. The calculation of the distance from a point to a curve plays an important role in our algorithm. B?zier Clipping Method is employed for this calculation.
Index Terms:
Curved tubular objects, Swept volume, B?zier curve, Closest point, B?zier Clipping, Rendering
Citation:
Tomoyuki Nishita, Henry Johan, "A Scan Line Algorithm for Rendering Curved Tubular Objects," pg, pp.92, Seventh Pacific Conference on Computer Graphics and Applications (PG'99), 1999
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