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Are all mathematical Bezier curves regular curves?
The first order is regular, that is, the line segment. Irregular above the second order.

Bezier curve is a mathematical curve applied to two-dimensional graphics. Definition of curve: starting point, ending point (also called anchor point) and control point. By adjusting the control points, the shape of Bezier curve will change. 1962, French mathematician Pierre Bézier was the first to study this method of drawing curves with vectors, and gave a detailed calculation formula, so the curve drawn according to this formula was named after his surname, called Bezier curve.