Proceedings of the 9th Annual Conference on Computer Graphics and Interactive Techniques 1982
DOI: 10.1145/800064.801289
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Scanline rendering of parametric surfaces

Abstract: A scanline algorithm is described which renders bicubic patches directly from the parametric description without producing a polygonal approximation. The algorithm is partially based on earlier work by Whitted. A primitive object, called a "curved-edge polygon", is defined, and an algorithm for breaking down a bicubic patch into the primitive objects is described. A general surface intersection method is employed to provide a robust silhouette edge detector. Shades are computed by calculating a cubic approxima… Show more

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Cited by 13 publications
(4 citation statements)
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“…On the other hand, it can be said that CPU processing on data underperform GPU processing, when data traffic increase. Because, according to the equation (1) and (2)), in 720p and 1080p, image generation time ratio (CPU/GPU) has increased 49% and 62% respectively. While, according to the equation (3), pixel computations ratio has increased 125% in both resolutions.…”
Section: -Resultsmentioning
confidence: 99%
“…On the other hand, it can be said that CPU processing on data underperform GPU processing, when data traffic increase. Because, according to the equation (1) and (2)), in 720p and 1080p, image generation time ratio (CPU/GPU) has increased 49% and 62% respectively. While, according to the equation (3), pixel computations ratio has increased 125% in both resolutions.…”
Section: -Resultsmentioning
confidence: 99%
“…The number of segments changes in the planes containing the minimum and maximum. 3. The curve's slope is not continuous (Figure 1, c); it contains a vertex.…”
Section: The Algorithmmentioning
confidence: 99%
“…The number of active regions (regions intersected by the current scan plane) is constant in the band. 3. Pairs of points to be interpolated of the exact intersection planes are connected by curves of continuous slope.…”
Section: The Algorithmmentioning
confidence: 99%
“…Rendering of parametric surfaces has a long history [1]. Early approaches consist of direct scanline rasterization of the parametric surface [2]. Modern GPUs have the ability to transform, light, rasterize surfaces composed of primitives like triangles and more recently also to tessellate them.…”
Section: Introductionmentioning
confidence: 99%