| 1. |
- Felsberg, Michael, 1974-
(författare)
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On the Relation Between Anisotropic Diffusion and Iterated Adaptive Filtering
- 2008. - 1
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Ingår i: Pattern Recognition. - Berlin, Heidelberg : Springer Berlin/Heidelberg. - 9783540693208 - 9783540693215 ; , s. 436-445
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Konferensbidrag (refereegranskat)abstract
- In this paper we present a novel numerical approximation scheme for anisotropic diffusion which is at the same time a special case of iterated adaptive filtering. By assuming a sufficiently smooth diffusion tensor field, we simplify the divergence term and obtain an evolution equation that is computed from a scalar product of diffusion tensor and the Hessian. We propose further a set of filters to approximate the Hessian on a minimized spatial support. On standard benchmarks, the resulting method performs in average nearly as good as the best known denoising methods from the literature, although it is significantly faster and easier to implement. In a GPU implementation video real-time performance is achieved for moderate noise levels.
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| 2. |
- Lukic, Tibor, et al.
(författare)
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Deterministic Defuzzification based on Spectral Projected Gradient Optimization
- 2008
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Ingår i: 30th Symposium of the German Association for Pattern Recognition (DAGM). - Berlin / Heidelberg : Springer. - 9783540693208 ; , s. 476-485
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Konferensbidrag (refereegranskat)abstract
- We apply deterministic optimization based on Spectral Projected Gradient method in combination with concave regularization to solve the minimization problem imposed by defuzzification by feature distance minimization. We compare the performance of the proposed algorithm with the methods previously recommended for the same task, (non-deterministic) simulated annealing and (deterministic) DC based algorithm. The evaluation, including numerical tests performed on synthetic and real images, shows advantages of the new method in terms of speed and flexibility regarding inclusion of additional features in defuzzification. Its relatively low memory requirements allow the application of the suggested method for defuzzification of 3D objects.
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