## Efficient Graph-Based Energy Minimization Methods In Computer Vision (1999)

Citations: | 86 - 5 self |

### BibTeX

@MISC{Veksler99efficientgraph-based,

author = {Olga Veksler},

title = {Efficient Graph-Based Energy Minimization Methods In Computer Vision},

year = {1999}

}

### Years of Citing Articles

### OpenURL

### Abstract

ms (we show that exact minimization in NP-hard in these cases). These algorithms produce a local minimum in interesting large move spaces. Furthermore, one of them nds a solution within a known factor from the optimum. The algorithms are iterative and compute several graph cuts at each iteration. The running time at each iteration is eectively linear due to the special graph structure. In practice it takes just a few iterations to converge. Moreover most of the progress happens during the rst iteration. For a certain piecewise constant prior we adapt the algorithms developed for the piecewise smooth prior. One of them nds a solution within a factor of two from the optimum. In addition we develop a third algorithm which nds a local minimum in yet another move space. We demonstrate the eectiveness of our approach on image restoration, stereo, and motion. For the data with ground truth, our methods signicantly outperform standard methods. Biographical Sketch Olga