Motion Capture Data Completion via Truncated Nuclear Norm Regularization

Authors: Hu, W., Wang, Z., Liu, S., Yang, X., Yu, G. and Zhang, J.J.

Journal: IEEE Signal Processing Letters

Volume: 25

Issue: 2

Pages: 258-262

ISSN: 1070-9908

DOI: 10.1109/LSP.2017.2687044

Abstract:

The objective of motion capture (mocap) data completion is to recover missing measurement of the body markers from mocap. It becomes increasingly challenging as the missing ratio and duration of mocap data grow. Traditional approaches usually recast this problem as a low-rank matrix approximation problem based on the nuclear norm. However, the nuclear norm defined as the sum of all the singular values of a matrix is not a good approximation to the rank of mocap data. This paper proposes a novel approach to solve mocap data completion problem by adopting a new matrix norm, called truncated nuclear norm. An efficient iterative algorithm is designed to solve this problem based on the augmented Lagrange multiplier. The convergence of the proposed method is proved mathematically under mild conditions. To demonstrate the effectiveness of the proposed method, various comparative experiments are performed on synthetic data and mocap data. Compared to other methods, the proposed method is more efficient and accurate.

https://eprints.bournemouth.ac.uk/30346/

Source: Scopus

Motion Capture Data Completion via Truncated Nuclear Norm Regularization

Authors: Hu, W., Wang, Z., Liu, S., Yang, X., Yu, G. and Zhang, J.J.

Journal: IEEE SIGNAL PROCESSING LETTERS

Volume: 25

Issue: 2

Pages: 258-262

eISSN: 1558-2361

ISSN: 1070-9908

DOI: 10.1109/LSP.2017.2687044

https://eprints.bournemouth.ac.uk/30346/

Source: Web of Science (Lite)

Motion Capture Data Completion via Truncated Nuclear Norm Regularization

Authors: Hu, W., Wang, Z., Liu, S., Yang, X., Yu, G. and Zhang, J.J.

Journal: IEEE Signal Processing Letters

Volume: 25

Issue: 2

Pages: 258-262

ISSN: 1070-9908

Abstract:

The objective of motion capture (mocap) data completion is to recover missing measurement of the body markers from mocap. It becomes increasingly challenging as the missing ratio and duration of mocap data grow. Traditional approaches usually recast this problem as a low-rank matrix approximation problem based on the nuclear norm. However, the nuclear norm defined as the sum of all the singular values of a matrix is not a good approximation to the rank of mocap data. This paper proposes a novel approach to solve mocap data completion problem by adopting a new matrix norm, called truncated nuclear norm. An efficient iterative algorithm is designed to solve this problem based on the augmented Lagrange multiplier. The convergence of the proposed method is proved mathematically under mild conditions. To demonstrate the effectiveness of the proposed method, various comparative experiments are performed on synthetic data and mocap data. Compared to other methods, the proposed method is more efficient and accurate.

https://eprints.bournemouth.ac.uk/30346/

Source: BURO EPrints