Bezier Curves from the Ground Up This post is also available in Japanese: 一から学ぶベジェ曲線. How do you describe a straight line segment? We might think about a line segment in terms of its endpoints. Let’s call those endpoints \( P_0 \) and \( P_1 \). P0 P1 To define the line segment rigorously, we might say “the set of all points along the line through \( P_0 \) and \( P_1 \) which lie between \( P_0 \