How to mask/clip a mesh

Is it possible to mask a mesh with a bitmap mask or with another invisible mesh?
I have several scenarios in my mind when this would be useful. For example how to achieve the following: masking

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I’ve done something similar myself, though not exactly as you draw in your graphic. Using invisible meshes to occlude things that are behind it:

In your graphic you do a boolean operation where your plane seems to be cutting the box on the intersection point. That I am not sure there is an easy way to do so (without generating a new mesh).

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@NokFrt I’m looking exactly for the same thing!

Did you solve your problem? Did you use @Leonidas idea? From my understanding, his project works well on an entire mesh but not for a part of it.