## Ill-posed problems in early vision (1988)

Venue: | Proceedings of the IEEE |

Citations: | 178 - 13 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}

}

### Years of Citing Articles

### OpenURL

### 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.