## Abstract In this article, we describe a new class of domain decomposition preconditioners suitable for solving elliptic PDEs in highly fractured or heterogeneous media, such as arise in groundwater flow or oil recovery applications. Our methods employ novel coarsening operators, which are adapte
Robust multiscale algorithms for gradient-based motion estimation
โ Scribed by Qing-Hua Lu; Xian-Min Zhang
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 367 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0899-9457
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โฆ Synopsis
Gradient-based techniques represent a very popular class of approaches to estimate motions. A robust multiscale algorithm of hierarchical estimation for gradient-based motion estimation is proposed in this article using a combination of robust statistical method and multiscale technique. In such a multiscale approach of hierarchical estimation, motion at each level of the pyramid is estimated using different gradient filters. The iterative multiscale estimation begins by using five-tap central filter, and it is switched to ninetap Timoner filter after a few iterations. In addition, robust M-estimators are applied at each level of the pyramid to overcome the problem of the outliers caused by illumination variations and motion discontinuities in motion estimation. Experimental simulations show that the new algorithm not only provides an improvement in estimator accuracy, but also achieves computational speedups. V
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