Example 3

SweepDist

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:

With the grid

VE-Fréchet Retractable solution:

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

Animation: Fréchet morphing as morphing