by Zsolt Santa, Zoltan Kato
Abstract:
A novel correspondence-less approach is proposed to find a thin plate spline map between a pair of deformable 3D objects represented by triangular surface meshes. The proposed method works without landmark extraction and feature correspondences. The aligning transformation is found simply by solving a system of nonlinear equations. Each equation is generated by integrating a nonlinear function over the object’s domains. We derive recursive formulas for the efficient computation of these integrals. Based on a series of comparative tests on a large synthetic dataset, our triangular mesh-based algorithm outperforms state of the art methods both in terms of computing time and accuracy. The applicability of the proposed approach has been demonstrated on the registration of 3D lung CT volumes.
Reference:
Zsolt Santa, Zoltan Kato, Correspondence-Less Non-Rigid Registration of Triangular Surface Meshes, In Proceedings of International Conference on Computer Vision and Pattern Recognition, Portland, Oregon, USA, pp. 2275-2282, 2013, IEEE.
Bibtex Entry:
@string{cvpr="Proceedings of International Conference on Computer Vision and Pattern Recognition"}
@INPROCEEDINGS{Santa-Kato2013,
author = {Zsolt Santa and Zoltan Kato},
title = {Correspondence-Less Non-Rigid Registration of Triangular Surface
Meshes},
booktitle = cvpr,
year = {2013},
pages = {2275--2282},
address = {Portland, Oregon, USA},
month = jun,
organization = {IEEE},
publisher = {IEEE},
doi = {10.1109/CVPR.2013.295},
abstract = {A novel correspondence-less approach is proposed to find a thin plate
spline map between a pair of deformable 3D objects represented by
triangular surface meshes. The proposed method works without landmark
extraction and feature correspondences. The aligning transformation
is found simply by solving a system of nonlinear equations. Each
equation is generated by integrating a nonlinear function over the
object’s domains. We derive recursive formulas for the efficient
computation of these integrals. Based on a series of comparative
tests on a large synthetic dataset, our triangular mesh-based algorithm
outperforms state of the art methods both in terms of computing time
and accuracy. The applicability of the proposed approach has been
demonstrated on the registration of 3D lung CT volumes.}
}