4 ms·
There is a trivial interpretation of Bezier curves that helped me to understand them: Quadratic Bezier is just trajectory of a point with initial velocity and
by zajio1am 5y ago
There is a trivial interpretation of Bezier curves that helped me to understand them:
Quadratic Bezier is just trajectory of a point with initial velocity and constant acceleration.
Cubic Bezier is just trajectory of a point with initial velocity and acceleration, and constant change of acceleration.
Direction to control points are just initial/final velocity.
- deleted 5y ago[deleted]
- jacobolus 5y agoAn alternative would be to say: Bézier curves are parametric polynomial curves (represented in Bernstein basis rather than monomial basis). (A function with constant nth derivative is a polynomial.)