AFFINE SPHARM REGISTRATION - Neural Estimation of Affine Transformation in Spherical Domain

Valentina Pedoia, Ignazio Gallo, Elisabetta Binaghi

2011

Abstract

In this work we propose an algorithm to perform the affine 3D surface registration using the shape modeling based on SPHerical HARMonic: called SPHARM. In the existing SPHARM registration algorithms the alignment is obtained using the rotation properties, that allows to perform the 3D surface rotation transforming only the spherical coefficients. The major limit is that this approach aligns the surface only by rotation. We propose a method to generalize this solution without lose the advantage to perform whole the registration process in the spherical domain. An estimation of the coefficients transformation that guarantees an affinity in the spatial domain is obtained by regression, using a set of RBF networks. The description of the 3D surface with the spherical harmonic coefficients is brief but comprehensive and provides directly a metric of the shape similarity. Therefore, the registration is obtained aligning the SPHARM model thought the minimization of the root mean square distance between the coefficients vectors. Many experiments are performed to test the affine SPHARM registration algorithm which appears efficient and effective compared with a standard registration algorithm in the spatial domain.

References

  1. A. M. Bronstein, M. M. Bronstein, R. K. (2008). Numerical geometry of non-rigid shapes. Springer.
  2. Ballard, D. H. and Brown, C. M. (1982). Computer Vision. Prentice-Hall, Englewood Cliffs, N.J.
  3. Brechbühler, C., Gerig, G., and Kübler, O. (1995). Parametrization of closed surfaces for 3-d shape description. Comput. Vis. Image Underst., 61(2):154- 170.
  4. Buhmann, M. D. and Buhmann, M. D. (2003). Radial Basis Functions. Cambridge University Press, New York, NY, USA.
  5. Floater, M. S. and Hormann, K. (2005). Surface parameterization: a tutorial and survey.
  6. Head, J. D. and Zerner, M. C. (1985). A broyden-fletchergoldfarb-shanno optimization procedure for molecular geometries. Chemical Physics Letters, 122(3):264 - 270.
  7. Kroon, D.-J. and Slump, C. H. (2009). Mri modalitiy transformation in demon registration. In ISBI'09: Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging, pages 963-966, Piscataway, NJ, USA. IEEE Press.
  8. Shen, L., Huang, H., Makedon, F., and Saykin, A. J. (2007). Efficient registration of 3d spharm surfaces. In CRV 7807: Proceedings of the Fourth Canadian Conference on Computer and Robot Vision, pages 81-88, Washington, DC, USA. IEEE Computer Society.
  9. Thirion, J. P. (1998). Image matching as a diffusion process: an analogy with maxwell's demons. Medical Image Analysis, 2(3):243-260.
  10. Xiao, G., Ong, S. H., and Foong, K. W. C. (2005). Efficient partial-surface registration for 3d objects. Comput. Vis. Image Underst., 98(2):271-294.
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Paper Citation


in Harvard Style

Pedoia V., Gallo I. and Binaghi E. (2011). AFFINE SPHARM REGISTRATION - Neural Estimation of Affine Transformation in Spherical Domain . In Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2011) ISBN 978-989-8425-47-8, pages 197-200. DOI: 10.5220/0003318301970200


in Bibtex Style

@conference{visapp11,
author={Valentina Pedoia and Ignazio Gallo and Elisabetta Binaghi},
title={AFFINE SPHARM REGISTRATION - Neural Estimation of Affine Transformation in Spherical Domain},
booktitle={Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2011)},
year={2011},
pages={197-200},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003318301970200},
isbn={978-989-8425-47-8},
}


in EndNote Style

TY - CONF
JO - Proceedings of the International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2011)
TI - AFFINE SPHARM REGISTRATION - Neural Estimation of Affine Transformation in Spherical Domain
SN - 978-989-8425-47-8
AU - Pedoia V.
AU - Gallo I.
AU - Binaghi E.
PY - 2011
SP - 197
EP - 200
DO - 10.5220/0003318301970200