I have a sentence which means "to use a laser to transfer an image from the computer and have it be imprinted on any material; wood, plastic, glass, metal, anything else" What is the correct way I should say this?

• To imprint an image onto the material?
• To imprint an image into the material?

Or maybe there is some other way? Maybe with words: transfer, apply, put, embed.

I should ask as well, Is there a big difference between the two when we speak about merging two object?

• Squeeze the ink into the water?

or

• Squeeze the ink onto the water?