How to make anchors transform along a curved path when creating variable fonts

Hello! As the title says:

How to make corresponding anchors in different masters transform along a curved path to make the transform smoother?

Thank you for your time.

Seems like you mean high-order interpolation or non-linear interpolation, look it up. But that is very rare, hard to make and overkill for most cases. There’s an experimental plugin: Nonlinear-A Glyphs plugin

For most cases, just follow the Avoid kinks section: