CAD system and bezier-curve data converting apparatus and method

Computer graphics processing and selective visual display system – Display driving control circuitry – Controlling the condition of display elements

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395142, 345136, G06F 1710, G06F 1750

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active

057179050

ABSTRACT:
A cubic Bezier curve is converted to a fifth Bezier curve so as to preserve the gradients at the initial and final points of the cubic Bezier curve and in such a manner that the fifth Bezier curve will assume a shape substantially the same as that of the cubic Bezier curve. Parameters giving points on the cubic Bezier curve are calculated at equal intervals. Points on the cubic Bezier curve are calculated using the calculated parameters and control points defining the cubic Bezier curve. Unit tangent vectors at the initial and final points of the cubic Bezier curve are calculated. Control points defining the fifth Bezier curve are calculated using the calculated parameters, the calculated points on the cubic Bezier curve and the calculated unit tangent vectors at the initial and final points of the cubic Bezier curve.

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