Is it worth making a Quadtree with smooth transitions?

Is it worth making a Quadtree with smooth transitions?

Hi guys, I was studying Quadtree and I ended up with the following GIF, and I was interested in doing the implementation.

Does anyone know if they have a name for this purpose/concept?
ezgif-7-b0d38e95faae
I found some places talking about what is called “smooth transitions” but I didn’t find anything, I don’t have a conceptual code base to do the implementation.

Looking on google I ended up finding this publication on the Unreal Engine website: Water | Unreal Engine Documentation

They call it “Water Mesh Actor” but this effect is not only used for “Water” but for the “whole world”, if anyone knows more papers about it.

ezgif-2-66b8be51ab67

Is it worth doing this type of implementation for a “whole world”, if we are thinking about generating procedural data?