Elastic Alignment of Triangular Surface Meshes
A novel region-based 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 simply found by solving a syst...
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| Published in | International journal of computer vision Vol. 126; no. 11; pp. 1220 - 1244 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer US
01.11.2018
Springer Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0920-5691 1573-1405 |
| DOI | 10.1007/s11263-018-1084-4 |
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| Abstract | A novel region-based 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 simply found by solving a system of integral equations. Each equation is generated by integrating a non-linear function over the object domains. We derive recursive formulas for the efficient computation of these integrals for open and closed surface meshes. 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, brain surfaces and 3D human faces. |
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| AbstractList | A novel region-based 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 simply found by solving a system of integral equations. Each equation is generated by integrating a non-linear function over the object domains. We derive recursive formulas for the efficient computation of these integrals for open and closed surface meshes. 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, brain surfaces and 3D human faces. |
| Audience | Academic |
| Author | Sánta, Zsolt Kato, Zoltan |
| Author_xml | – sequence: 1 givenname: Zsolt orcidid: 0000-0002-1299-6162 surname: Sánta fullname: Sánta, Zsolt organization: Institute of Informatics, University of Szeged – sequence: 2 givenname: Zoltan orcidid: 0000-0002-9328-4254 surname: Kato fullname: Kato, Zoltan email: kato@inf.u-szeged.hu organization: Department of Mathematics and Informatics, J. Selye University |
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| Keywords | Elastic alignment Correspondence-less registration Triangular surface mesh Thin plate spline |
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