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This research aims to develop an efficient algorithm for rendering shaded pictures of parametric curved surfaces.

August 1, 1979

A fast scan-line algorithm for rendering parametric surfaces

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This research aims to develop an efficient algorithm for rendering shaded pictures of parametric curved surfaces.
The algorithm recursively subdivides each surface based on its curvature in screen space.
Subdivision continues until the surface approximates a bilinear form suitable for polygon rendering techniques.
It only subdivides in the direction where curvature deviates from the defined tolerance.
The algorithm utilizes a curvature criterion as a simple termination condition.
Separation problems between sibling subpatches are effectively addressed with a straightforward solution.

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Algorithm presents improved rendering of parametric surfaces by efficiently managing curvature and subdivision.

James H. Clark (1979) studied this question.

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