Frechet distance example

What is this?

Think about a person walking on the green curve, and a dog walking on the blue curve. How should they synchronize their walk, so that the leash (i.e., the red segment) used is as short as possible throughout the walk.

Here is the formal definition:

I apologize is his video was recommend to you by the youtube algorithm. This video was posted because I wanted to show an example to certain people.

(No dogs were harmed while making this movie.)

[MalcolmReynoldsfromDarkSouls]

I was going to ask what this was because it was randomly recommended to me but then I saw your other videos and realized I wouldn't understand the answer anyway.