# Parameter Estimation for HOSVD-based Approximation of Temporally Coherent Mesh Sequences

### Michał Romaszewski, Przemysław Głomb

#### Abstract

This paper is focused on the problem of parameter selection for approximation of animated 3D meshes (Temporally Coherent Mesh Sequences, TCMS) using Higher Order Singular Value Decomposition (HOSVD). The main application of this approximation is data compression. Traditionally, the approximation was done using matrix decomposition, but recently proposed tensor methods (e.g. HOSVD) promise to be more effective. However, the parameter selection for tensor-based methods is more complex and difficult than for matrix decomposition. We focus on the key parameter, the value of N-rank, which has major impact on data reduction rate and approximation error. We present the effect of N-rank choice on approximation performance in the form of rate-distortion curve. We show how to quickly create this curve by estimating the reconstruction error resulting from the N-rank approximation of TCMS data. We also inspect the reliability of created estimator. Application of proposed method improves performance of practical application of HOSVD for TCMS approximation.

#### References

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#### Paper Citation

#### in Harvard Style

Romaszewski M. and Głomb P. (2016). **Parameter Estimation for HOSVD-based Approximation of Temporally Coherent Mesh Sequences** . In *Proceedings of the 11th Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 3: VISAPP, (VISIGRAPP 2016)* ISBN 978-989-758-175-5, pages 138-145. DOI: 10.5220/0005723501380145

#### in Bibtex Style

@conference{visapp16,

author={Michał Romaszewski and Przemysław Głomb},

title={Parameter Estimation for HOSVD-based Approximation of Temporally Coherent Mesh Sequences},

booktitle={Proceedings of the 11th Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 3: VISAPP, (VISIGRAPP 2016)},

year={2016},

pages={138-145},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005723501380145},

isbn={978-989-758-175-5},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 11th Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 3: VISAPP, (VISIGRAPP 2016)

TI - Parameter Estimation for HOSVD-based Approximation of Temporally Coherent Mesh Sequences

SN - 978-989-758-175-5

AU - Romaszewski M.

AU - Głomb P.

PY - 2016

SP - 138

EP - 145

DO - 10.5220/0005723501380145