Re-parameterization of a Deformation Model for Non-rigid Registration

Van-Toan Cao, Trung-Thien Tran, Denis Laurendeau

2016

Abstract

In this paper we present a method for non-rigid registration of meshes. The method aligns two surfaces of deformable objects by automatically separating the deformation into a single global transformation and other local deformations. The local deformations are found by applying the deformation model proposed by Sumner (Sumner et al., 2007) that previous methods have used to register two surfaces. However, we specify a rigid transformation for each node of the deformation graph using a rotation matrix and a translation vector. With this model, unit quaternions of rotation matrices are paramterized using an homeomorphic relation between the 4D unit sphere and the 3D projective space. Therefore, the number of unknowns is reduced by half compared to the original models based on affine transformations and the optimization process is less complex. We demonstrate the efficiency of the proposed method by aligning the surfaces of data sets without any prior knowledge and assumptions about the deformation between the two surfaces.

Paper Citation

in Harvard Style

Cao V., Tran T. and Laurendeau D. (2016). Re-parameterization of a Deformation Model for Non-rigid Registration . In Proceedings of the 11th Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2016) ISBN 978-989-758-175-5, pages 39-49. DOI: 10.5220/0005714300370047

in Bibtex Style

@conference{grapp16,
author={Van-Toan Cao and Trung-Thien Tran and Denis Laurendeau},
title={Re-parameterization of a Deformation Model for Non-rigid Registration},
booktitle={Proceedings of the 11th Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2016)},
year={2016},
pages={39-49},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005714300370047},
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 1: GRAPP, (VISIGRAPP 2016)
TI - Re-parameterization of a Deformation Model for Non-rigid Registration
SN - 978-989-758-175-5
AU - Cao V.
AU - Tran T.
AU - Laurendeau D.
PY - 2016
SP - 39
EP - 49
DO - 10.5220/0005714300370047