Cut sphere mesh with image texture

Hello, i would like to cut a sphere surface with an image texture.

I have tried doing a displace modifier and then using a bool with an other sphere, but not so good resuslt.

Is there a better way ?

Here is the sphere with the texture on it, the black line are what i wanna cut :

I suggest you

  1. convert the texture into an svg
  2. import the svg as a curve object
  3. convert the curve object to a mesh and shwrinkwrap it to a sphere again

(you probably have to do multiple projections for the result to look good)

See for example here:

and here

Thank you for your help !
I tried but shrinkwarp didnt go well, maybe because im noob

This helped me tho :