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Sequential Non-Rigid Structure-from-Motion with the 3D-Implicit Low-Rank Shape Model

  • Marco Paladini
  • Adrien Bartoli
  • Lourdes Agapito
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6312)

Abstract

So far the Non-Rigid Structure-from-Motion problem has been tackled using a batch approach. All the frames are processed at once after the video acquisition takes place. In this paper we propose an incremental approach to the estimation of deformable models. Image frames are processed online in a sequential fashion. The shape is initialised to a rigid model from the first few frames. Subsequently, the problem is formulated as a model based camera tracking problem, where the pose of the camera and the mixing coefficients are updated every frame. New modes are added incrementally when the current model cannot model the current frame well enough. We define a criterion based on image reprojection error to decide whether or not the model must be updated after the arrival of a new frame. The new mode is estimated performing bundle adjustment on a window of frames. To represent the shape, we depart from the traditional explicit low-rank shape model and propose a variant that we call the 3D-implicit low-rank shape model. This alternative model results in a simpler formulation of the motion matrix and provides the ability to represent degenerate deformation modes. We illustrate our approach with experiments on motion capture sequences with ground truth 3D data and with real video sequences.

Keywords

Shape Model Current Frame Basis Shape Bundle Adjustment Reprojection Error 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Marco Paladini
    • 1
  • Adrien Bartoli
    • 2
  • Lourdes Agapito
    • 1
  1. 1.Queen Mary University of LondonLondonUK
  2. 2.Clermont UniversitéFrance

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