Re:Hobby's algorithm for aesthetic Bézier splines
by ReleaseCandidat on Friday May 03, 2024 @02:11AM
(#40244649)
> then arguably the piecewise Euler spiral spline [...] is the answer
It is the easiest "not wrong" answer, as it doesn't for example work with points on a circle either, where the (not only "intuitive") solution would be a circle.
An Euler spiral is the answer on how to ("easily") "sufficient smoothly" connect 2 points with a given radius of curvature (and therefore tangent) at both points, and no constraints between those two points.
It is the easiest "not wrong" answer, as it doesn't for example work with points on a circle either, where the (not only "intuitive") solution would be a circle. An Euler spiral is the answer on how to ("easily") "sufficient smoothly" connect 2 points with a given radius of curvature (and therefore tangent) at both points, and no constraints between those two points.