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Published in:
2012 | OriginalPaper | Chapter
Fast Parameter Sensitivity Analysis of PDE-Based Image Processing Methods
Authors : Torben Pätz, Tobias Preusser
Published in: Computer Vision – ECCV 2012
Publisher: Springer Berlin Heidelberg
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We present a fast parameter sensitivity analysis by combining recent developments from uncertainty quantification with image processing operators. The approach is not based on a sampling strategy, instead we combine the polynomial chaos expansion and stochastic finite elements with PDE-based image processing operators. With our approach and a moderate number of parameters in the models the full sensitivity analysis is obtained at the cost of a few Monte Carlo runs. To demonstrate the efficiency and simplicity of the approach we show a parameter sensitivity analysis for Perona-Malik diffusion, random walker and Ambrosio-Tortorelli segmentation, and discontinuity-preserving optical flow computation.