This dissertation proposes a new paradigm of problem solving, dubbed Camera Model Design, which overcomes the limitations of the planar pinhole camera model to address many problems which still exist in computer graphics, visualization, and computer vision. The Camera Model Design paradigm stresses four important ideas. First, relax the constraints of the planar pinhole camera model allowing generalized camera rays which are no longer straight and no longer converge. Second, the choice of camera used for a particular application need not be limited to the planar pinhole camera. Third, camera models should no longer be static. Finally, in order to support interactive exploration, a high level of computational efficiency should be maintained.
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