Can I warp an image around 2d path with Java?

I want to warp a texture around defined 2d path /I have the list of 2d points and the repeatable texture/ with java algorithm.

Here is an example image of what I want to be able to do: Image

My first question is is it possible at all?

If possible, can you guide me with what to start with?

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I am sorry for my English, it is not my native language.