Ill-posed problems in early vision (1988)
| Venue: | Proceedings of the IEEE |
| Citations: | 152 - 12 self |
BibTeX
@INPROCEEDINGS{Bertero88ill-posedproblems,
author = {Mario Bertero and Tomaso A. Pogcio and Vincent Torre},
title = {Ill-posed problems in early vision},
booktitle = {Proceedings of the IEEE},
year = {1988},
pages = {869--889}
}
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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.
