LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
ACM Transactions on Mathematical Software (TOMS)
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
Model-Based Initialisation for Segmentation
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Comparison of shape regression methods under landmark position uncertainty
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part II
3D facial landmark localization using combinatorial search and shape regression
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume Part I
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We propose a method for estimating confidence regions around shapes predicted from partial observations, given a statistical shape model. Our method relies on the estimation of the distribution of the prediction error, obtained non-parametrically through a bootstrap resampling of a training set. It can thus be easily adapted to different shape prediction algorithms. Individual confidence regions for each landmark are then derived, assuming a Gaussian distribution. Merging those individual confidence regions, we establish the probability that, on average, a given proportion of the predicted landmarks actually lie in their estimated regions. We also propose a method for validating the accuracy of these regions using a test set.