Segmentation of non-rigid bodies in affine motion: a new framework
نویسندگان
چکیده
منابع مشابه
Geometrical Consistent Clustering of Linear Subspaces
The perception of rigid-bodies from affine views of moving 3D point clouds, boils down to clustering the rigid motion subspaces supported by the image trajectories. For a physically meaningful interpretation, clusters must be consistent with the geometry of the underlying subspaces. We find that proper subspace clustering requires invariance both to the orthogonal and the inclusion relationship...
متن کاملA General Framework for Motion Segmentation: Independent, Articulated, Rigid, Non-rigid, Degenerate and Non-degenerate
We cast the problem of motion segmentation of feature trajectories as linear manifold finding problems and propose a general framework for motion segmentation under affine projections which utilizes two properties of trajectory data: geometric constraint and locality. The geometric constraint states that the trajectories of the same motion lie in a low dimensional linear manifold and different ...
متن کاملGroup-Valued Regularization Framework for Motion Segmentation of Dynamic Non-rigid Shapes
Understanding of articulated shape motion plays an important role in many applications in the mechanical engineering, movie industry, graphics, and vision communities. In this paper, we study motion-based segmentation of articulated 3D shapes into rigid parts. We pose the problem as finding a group-valued map between the shapes describing the motion, forcing it to favor piecewise rigid motions....
متن کاملOn Analytical Study of Self-Affine Maps
Self-affine maps were successfully used for edge detection, image segmentation, and contour extraction. They belong to the general category of patch-based methods. Particularly, each self-affine map is defined by one pair of patches in the image domain. By minimizing the difference between these patches, the optimal translation vector of the self-affine map is obtained. Almost all image process...
متن کاملFast Piecewise-Affine Motion Estimation Without Segmentation
Current algorithmic approaches for piecewise affine motion estimation are based on alternating motion segmentation and estimation. We propose a new method to estimate piecewise affine motion fields directly without intermediate segmentation. To this end, we reformulate the problem by imposing piecewise constancy of the parameter field, and derive a specific proximal splitting optimization schem...
متن کامل