Curve Continuity
November 13, 2026
Continuity in piecewise Bézier curves was one of the important topics of our first-year architecture geometry course. Here, I will briefly summarize what this course attempts to convey. Since there are many ways to define it, I have summarized them below and tried to indicate how each is perceived visually. C0: Position Continuity This refers simply to the end-to-end connection of two Bézier curve segments; there are no gaps between the curves. The endpoint of the first curve is on…