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Inclined toroidal surface that fits an off-axis conic section

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Abstract

We developed a formulation using the continuous least-squares method to determine the inclined toroidal surface that best fits a given off-axis conic section. A toroid with a known curvature is used to obtain an analytic equation for the angle of inclination of the axis with respect to the normal to the center of the off-axis section.

© 1996 Optical Society of America

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Equations (12)

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