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What is the best way to project this logo on this cup without so much distortions on the and of the logo.

I've tried one tip that I saw here that used lattice and shrinkwrap modifier but the result was not so good.

The idea is to 3d print this model... I would appreciate any help to make this task easy and with good result.

enter image description here

enter image description here

this last picture is the result using the tips that I saw here.

enter image description here

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The way I was able to do it was to use the knife project. All you need to do is make the words 2D with no faces, go into object mode and select the words then shift select the cup and go into edit mode. Then go into the view you are in in the first image and press knife project. The only problem with this is that it will go from the view, so you may have to do each individual letter at a time from different views so you can get it looking as nice as possible. Once you finish projecting it onto the cup you can just select the faces of the words on the cup and extrude them out. Sorry it’s such a time consuming way to do it but I couldn’t figure out anything easier. Please msg me back if you need more details. By the way I was able to successfully 3d print what I made with no errors.

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