ベジェ曲線の一考察

概要

論文の詳細を見る
In computer graphics (CG), Bezier curve, Rational Bezier curve, B-spline curve, and Non-Uniform Rational B-spline curve (NURBS), among others, are used to express free curves. In this article, I first confirm the definition of the Bezier curve, which is one of the most basic free curves. I then visualize the Bezier curve with the graph presentation software GRAPES and the plane geometry software cabri II plus. Subsequently, I present mathematical consideration of the relation among the axis, the focus, and an arbitrary tangent line of a general parabola. Based on this consideration, I finally demonstrate and confirm, using the plane geometry software cabri II plus, the fact that the second Bezier curve is part of a parabola.
2011-10-31