How can I project an arbitrary plane identified by 4 points onto a 2d plane?

This is a special case of finding mappings between quadrilaterals that preserve straight lines. These are generally called homographic transforms. Here, one of the quads is a square, so this is a popular special case.

You can google these terms ("quad to quad", etc) to find explanations and code, but here are some for you.

This is a special case of finding mappings between quadrilaterals that preserve straight lines. These are generally called homographic transforms. Here, one of the quads is a square, so this is a popular special case.

You can google these terms ("quad to quad", etc) to find explanations and code, but here are some for you. Perspective Transform Estimation a gaming forum discussion extracting a quadrilateral image to a rectangle Projective Warping & Mapping ProjectiveMappings for ImageWarping by Paul Heckbert. The math isn't particularly pleasant, but it isn't that hard either.

You can also find some code from one of the above links.

The first link was very helpful, thanks. – Scott Nov 19 '10 at 18:56.

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