Algorithms for Batch Matrix Factorization with Application to Structure-from-Motion

@article{Tardif2007AlgorithmsFB,
  title={Algorithms for Batch Matrix Factorization with Application to Structure-from-Motion},
  author={Jean-Philippe Tardif and Adrien Bartoli and Martin Trudeau and Nicolas Guilbert and S{\'e}bastien Roy},
  journal={2007 IEEE Conference on Computer Vision and Pattern Recognition},
  year={2007},
  pages={1-8}
}
Matrix factorization is a key component for solving several computer vision problems. It is particularly challenging in the presence of missing or erroneous data, which often arise in structure-from-motion. We propose batch algorithms for matrix factorization. They are based on closure and basis constraints, that are used either on the cameras or the structure, leading to four possible algorithms. The constraints are robustly computed from complete measurement sub-matrices with e.g. random data… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 24 references

3D reconstruction by fitting low-rank matrices with missing data

2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) • 2005
View 11 Excerpts
Highly Influenced

Affine Structure and Motion from Points, Lines and Conics

International Journal of Computer Vision • 1999
View 5 Excerpts
Highly Influenced

Linear Projective Reconstruction from Matching Tensors

BMVC • 1996
View 6 Excerpts
Highly Influenced

Damped Newton algorithms for matrix factorization with missing data

2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) • 2005
View 7 Excerpts
Highly Influenced

3D Reconstruction by Gluing Pair-Wise Euclidean Reconstructions, or "How to Achieve a Good Reconstruction from Bad Images"

Third International Symposium on 3D Data Processing, Visualization, and Transmission (3DPVT'06) • 2006

Recovering Camera Motion Using L\infty Minimization

2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'06) • 2006
View 1 Excerpt

Removing Outliers Using The L\infty Norm

2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'06) • 2006
View 1 Excerpt

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