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Abstract : |
The first processing stage in computational vision, also called early vision, consists of decoding two-dimensional images in terms of properties of 3-0 surfaces. Early vision includes problems such as the recovery of motion and optical flow, shape from shading, surface interpolation, and edge detection. These are inverse prob-lems, which are often ill-posed or ill-conditioned. We review here the relevant mathematical results on ill-posed and ill-conditioned problems and introduce the formal aspects of regularization the-ory in the linear and nonlinear case. Specific topics in early vision and their regularization are then analyzed rigorously, characteriz-ing existence, uniqueness, and stability of solutions., |
