2009
DOI: 10.1007/978-3-642-10331-5_100
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Optimal Weights for Convex Functionals in Medical Image Segmentation

Abstract: Abstract.Energy functional minimization is a popular technique for medical image segmentation. The segmentation must be initialized, weights for competing terms of an energy functional must be tuned, and the functional minimized. There is a substantial amount of guesswork involved. We reduce this guesswork by analytically determining the optimal weights and minimizing a convex energy functional independent of the initialization. We demonstrate improved results over state of the art on a set of 470 clinical exa… Show more

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Cited by 9 publications
(7 citation statements)
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“…Mcintosh and Hamarneh [26] optimized a non-convex energy function to find the optimal parameters. They later extended their technique using a constrained convex energy function to avoid sensitivity to the initial parameter settings [27]. The common goal in these algorithms is to learn the parameters so that the ground truth emerges as the optimal solution.…”
Section: Automatic Parameter Tuning In Image Segmentationmentioning
confidence: 99%
“…Mcintosh and Hamarneh [26] optimized a non-convex energy function to find the optimal parameters. They later extended their technique using a constrained convex energy function to avoid sensitivity to the initial parameter settings [27]. The common goal in these algorithms is to learn the parameters so that the ground truth emerges as the optimal solution.…”
Section: Automatic Parameter Tuning In Image Segmentationmentioning
confidence: 99%
“…In order to improve the segmentation accuracy, possibilities for future work include: Exploring optimization-based segmentation techniques (instead of region growing) [25]; searching the hyper-parameters space using rigorous methods (instead of using the method proposed by Menchattini et al [25] for setting the region growing thresholds, or for setting the CLAHE method parameters), e.g. via harmony search [43] and evolutionary computing [44] or combinatorial/continuous optimization of hyper-parameters [39][40][41]; or setting hyper-parameter values based on image contents [42]. However, it remains to be seen whether such additional methodological complexity will lead to worthwhile improvements in accuracy.…”
Section: Discussionmentioning
confidence: 99%
“…To minimize the number of unknowns to be optimized, the weighting factor is taken to be spatially invariant, i.e. λ (X) = λ , and is usually set empirically based on trial and error, training data, or contextual information [34,16,42]. Also, P(C i ) is further decomposed into multiple terms (i.e.…”
Section: Methodsmentioning
confidence: 99%