Example 34



SweepDist


Simplification removes unnecessary noise...
Curves # Vertices Length
P 42 5.131403176699391
Q 165 7.699621186993983

Distance Value Iters
Fréchet 1.310907905228465 0
VE Fréchet 1.310907905228465 3735

Animation: Fréchet morphing

This is the animation of the morphing computed that is both continuous and monotone.


Animation: VE Retractable Fréchet

This is the animation of the VE retractable morphing. It is potentially not monotone (but it is continuous.


Free space diagram heatmap:


graph + free space [PDF] : graph [PDF]

VE-Fréchet Retractable solution:


Monotonized...

Fréchet cont+monotone solution:


Discrete Fréchet

The resulting morphing - extended to continuous:

Specifically, to get a smooth animation, the leash is shown as moving continuously, by interpolating between the discrete locations.


The discrete retractable version


The discrete dynamic time warping


P # vertices: 42
P # vertices: 165
DFréchet iters : 6930
Retract DFréchet iters : 1836

Animation: Fréchet morphing as morphing


2025-03-08 21:10:04