Reference : A Combinatorial Solution to Non-Rigid 3D Shape-to-Image Matching
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Engineering, computing & technology : Computer science
http://hdl.handle.net/10993/31048
A Combinatorial Solution to Non-Rigid 3D Shape-to-Image Matching
English
Bernard, Florian mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Schmidt, Frank R. []
Thunberg, Johan mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Cremers, Daniel []
2017
The proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
Yes
IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
from 21-7-2017 to 26-7-2017
[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.
http://hdl.handle.net/10993/31048

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