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A Combinatorial Solution to Non-Rigid 3D Shape-to-Image Matching
Bernard, Florian; Schmidt, Frank R.; Thunberg, Johan et al.
2017In The proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
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Abstract :
[en] We propose a combinatorial solution for the problem of non-rigidly matching a 3D shape to 3D image data. To this end, we model the shape as a triangular mesh and allow each triangle of this mesh to be rigidly transformed to achieve a suitable matching to the image. By penalising the distance and the relative rotation between neighbouring triangles our matching compromises between the image and the shape information. In this paper, we resolve two major challenges: Firstly, we address the resulting large and NP-hard combinatorial problem with a suitable graph-theoretic approach. Secondly, we propose an efficient discretisation of the unbounded 6-dimensional Lie group SE(3). To our knowledge this is the first combinatorial formulation for non-rigid 3D shape-to-image matching. In contrast to existing local (gradient descent) optimisation methods, we obtain solutions that do not require a good initialisation and that are within a bound of the optimal solution. We evaluate the proposed combinatorial method on the two problems of non-rigid 3D shape-to-shape and non-rigid 3D shape-to-image registration and demonstrate that it provides promising results.
Disciplines :
Computer science
Author, co-author :
Bernard, Florian ;  University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
Schmidt, Frank R.
Thunberg, Johan ;  University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
Cremers, Daniel
External co-authors :
yes
Language :
English
Title :
A Combinatorial Solution to Non-Rigid 3D Shape-to-Image Matching
Publication date :
2017
Event name :
IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
Event date :
from 21-7-2017 to 26-7-2017
Main work title :
The proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
Peer reviewed :
Peer reviewed
Available on ORBilu :
since 10 May 2017

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