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Procedurally fit camera to bounding box of object

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It's quite simple.
First zero your camera positions. Then copy position of object you want to frame to camera position. Then move camera a little back along it's local axis (so it doesn't clip the rendered image). It's aligned now.
Then compute size (diameter) of bounding sphere of the object and put that diameter into Ortho Width. So it's zoomed correctly.

I suppose that you have orientation and resolution you want to keep on camera.

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