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projection texture of fisheye picture

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hi, i need to project a fisheye texture onto a geometric model, i was thinking of doing it the following way. I click corresponding points in both the fisheye picture and the 3d model. Then i create a unit sphere of the picture( by converting polar coordinates to directions) i calculate and store the angles between these vectors(and the origin(0,0,0). Now in the 3d model i need to rotate/translate somehow that their directions crosses all the corresponding points and where and where the directions intesect eachother, that is the origin of the fisheye picture, from there i can map project the vertices back on the sphere. Am i doing it right, and if so how can i easily solve this, i've been reading some stuff about least squares to minimine translation/rotation parameters regards Paul

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