How can I make a curved world in Three.js?

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I am creating a project in Three.js in which I have a character walking on a curved world (like Animal Crossing).

I finished the part of the character's movements but I can't figure out how to create this 'curved world'.

I would like the result looks like this: https://www.youtube.com/watch?v=_kY4v-L3rvY (0:47 - 0:56).

I thought about creating a simple plan and applying a shader to make it curved but I haven't found anything around that can help me. In Unity there are many shaders that do this but I couldn't find anything in Three.js.

How could I create a shader that allows me to achieve this goal?

Thank you in advance!

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