Set out here is a brief description of the Higuchi method, along with a JavaScript implementation. This greatly reduces the computational load required for drafting. The Bézier curve is defined by just a few control points and maintains it shape under 3D transformation. The result is a smooth, quite accurate approximation, suitable for CAD. In an effort to simplify the drafting of circular involute functions, Fumitaka Higuchi et al developed a method of approximating the involute using Bézier curves. The involute is a transcendental function usually drawn by calculating coordinates of many points along the curve and plotting straight line segments between them. The involute is generated from its base circle as if a taut line were unwound from the circumference, the end of that line would describe a circle involute. Spur gear tooth profiles are shaped as circle involute curves.
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