Forma, Vol. 15 (No. 1), pp. 61-66, 2000
Original Paper

Some Expressions of Ovaloid and Form Defined by Supporting Function

Hirotaka Ebisui

Motomachi 4-12-10, Iwakunishi, Yamaguchi 740-0012, Japan

(Received November 19, 1999; Accepted February 24, 2000)

Keywords: Supporting Function, Parametric Equation, Ovaloid, Normal Line, Hyper Tangent Plane

Abstract. A relation between Supporting function P derived from the normal line of hyper tangent plane and the coordinates of its contact point is clarified. Supporting functions as the definition of objects (Oval, Ovaloid, Hyper-Ovaloid etc.) are given, and coordinates of the contact point are obtained as parametric equations. Some examples and their CG are shown.

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