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Is there any algorithm for determining 3d position in such case?(images below)

So first of all

Suppose I have such the following image (and ofcourse i.e. I have the coordinates of all points coordinates in 2d so I can regenerate lines and check where they cross each other)

superior0.narod.ru/2d.jpg

But hey,

Now suppose I have another Image image of same lines (what I know thay are to be the same ) and new coords of my points like on this image

superior0.narod.ru/3d.jpg

So... now Having points (coords) on first image, lines:

How can I determin determine plane rotation and Z depth on second image (asuming first one's center was in point (0,0,0) with no rotation)?

And can you please give an answer relative to my ABCD.. points or yours...

BTW: cn any one pease edit this question so that IMAGES will be Images not links...
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Is there any algorithm for determining 3d position in such case? (images below)

So first of all I have such image (and ofcourse I have all points coordinates in 2d so I can regenerate lines and check where they cross each other)

superior0.narod.ru/2d.jpg

But hey, I have another Image of same lines (I know thay are same) and new coords of my points like on this image

superior0.narod.ru/3d.jpg

So... now Having points (coords) on first image, How can I determin plane rotation and Z depth on second image (asuming first one's center was in point (0,0,0) with no rotation)?

And can you please give an answer relative to my ABCD.. points or yours...

BTW: cn any one pease edit this question so that IMAGES will be Images not links...