A quadratic spline with two segments. The blue points are control points that shape the curve. The orange point marks the end of the curve. Drag any point to modify the curve while maintaining smoothness.
Distance field of the quadratic bezier curve. Blue means close to the curve, red means far away. Click and drag to see the gradient direction at any point.
Dynamical system derived from the quadratic bezier curve and its distance field. The magenta point can be dragged to start a new path. All paths lead to the orange equilibrium point. Adjust λ to control the balance between following the curve and moving toward it.