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Linear and multi-linear models of object shape/appearance (PCA, 3 DMM, AAM/ASM, multilinear tensors) have been very popular in computer vision. In this paper, we analyze the validity of these models from the fundamental physical laws of object motion and image formation. We rigorously prove that the image appearance space can be closely approximated to be locally multilinear, with the illumination...
In this paper, we show how we can estimate, accurately and efficiently, the 3D motion of a rigid object and time-varying lighting in a dynamic scene. This is achieved in an inverse compositional tracking framework with a novel warping function that involves a 2D rarr 3D rarr 2D transformation. This also allows us to extend traditional two-frame inverse compositional tracking to a sequence of frames,...
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