Knife tool with Bezier curves like Pen tool
I like the idea of the Knife tool and I try to use it. It is worthless because it has no control... If it used Bezier curves or like the Photoshop's Polygon tool that would be awesome.
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While the Knife tools definitely lacks precision (and there is a request about it), but there is a way you can use any path as a cutting path, the same way the Knife does.
Draw a path over the objects you want to cut, select it and use Object > Path > Divide Objects Below.
Please comments back if it works or doesn’t work for you.