Automatic segmentation of unorganized noisy point clouds based on the Gaussian map
Computer-Aided Design
Robust Multiple Structures Estimation with J-Linkage
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part I
Nonlinear Mean Shift over Riemannian Manifolds
International Journal of Computer Vision
Automatic Estimation of the Inlier Threshold in Robust Multiple Structures Fitting
ICIAP '09 Proceedings of the 15th International Conference on Image Analysis and Processing
International Journal of Computer Vision
Geometric median-shift over Riemannian manifolds
PRICAI'10 Proceedings of the 11th Pacific Rim international conference on Trends in artificial intelligence
Advances in matrix manifolds for computer vision
Image and Vision Computing
Clustering via geometric median shift over Riemannian manifolds
Information Sciences: an International Journal
Semi-intrinsic mean shift on riemannian manifolds
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part I
Manifold statistics for essential matrices
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part II
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The mean shift algorithm is widely applied for nonparametric clustering in Euclidean spaces. Recently, mean shift was generalized for clustering on matrix Lie groups. We further extend the algorithm to a more general class of nonlinear spaces, the set of analytic manifolds. As examples, two specific classes of frequently occurring parameter spaces, Grassmann manifolds and Lie groups, are considered. When the algorithm proposed here is restricted to matrix Lie groups the previously proposed method is obtained. The algorithm is applied to a variety of robust motion segmentation problems and multibody factorization. The motion segmentation method is robust to outliers, does not require any prior specification of the number of independent motions and simultaneously estimates all the motions present.