Method and apparatus for translating an arc definition into...

Computer graphics processing and selective visual display system – Computer graphics processing – Three-dimension

Reexamination Certificate

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Reexamination Certificate

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10813278

ABSTRACT:
A method for translating an arc definition into a series of conic curve definitions in a form usable by an imager includes first defining a given ellipse. Two intersecting vectors each intersect the ellipse to determine the exact beginning and ending points of the desired arc. The arc is then broken down into a series of sub-arcs no larger than 90 degrees each. The sub-arcs are then represented as conic curve definitions that are usable by an imager to accomplish imaging or clipping against a specified arc.

REFERENCES:
Teller et al., “Constructing Easily Invertible Bezier Surfaces That Parametrize General Quadrics”, 1991, ACM, pp. 303-315.
Zirbel et al., “Using AutoCAD Release 13 for Windows”, 1995, Que, pp. 443-447.
Baudelaire et al., “Techniques for Interactive Raster Graphics”, 1980, ACM, pp. 314-320.

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