Abstract
This article tackles the registration of 2-D biological images (histological sections, autoradiographs, cryosections, etc.). The large variety of registration applications – 3D volume reconstruction, cross-dye histology gene mapping, etc. – induce an equally diverse set of requirements in terms of accuracy and robustness. In turn, these directly translate into regularization constraints on the deformation model, which should ideally be specifiable in a user-friendly fashion.
We propose an adaptive regularization approach where the rigidity constraints are informed by the registration application at hand and whose support is controlled by the geometry of the images to be registered.
We investigate the behavior of this technique and discuss its sensitivity to the rigidity parameter.
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References
Maintz, J.B.A., Viergever, M.A.: A Survey of Medical Image Registration. Medical Image Analysis 2, 1–36 (1998)
Cachier, P., Bardinet, E., Dormont, D., Pennec, X., Ayache, N.: Iconic Feature Based Nonrigid Registration: The PASHA Algorithm. CVIU — Special Issue on Nonrigid Registration 89, 272–298 (2003)
Lucas, B., Kanadé, D.: An Iterative Image Registration Technique with an Application to Stereo Vision. In: Proc. of DARPA Image Understanding Workshop, pp. 121–130 (1981)
Thirion, J.P.: Image Matching as a Diffusion Process: an Analogy with Maxwell’s Demons. Medical Image Analysis 2, 243–260 (1998)
Christensen, G., Joshi, S., Miller, M.: Volumetric Transformation of Brain Anatomy. IEEE Transactions on Medical Imaging 16, 864–877 (1997)
Pitiot, A., Bardinet, E., Thompson, P., Malandain, G.: Piecewise Affine Registration of Biological Images for Volume Reconstruction. Medical Image Analysis (in press, 2005)
Barber, D.: Registration of Low Resolution Medical Images. Physics in Medical Biology 37, 1485–1498 (1992)
Ourselin, S., Roche, A., Subsol, G., Pennec, X., Ayache, N.: Reconstructing a 3D Structure from Serial Histological Sections. Image and Vision Computing 19, 25–31 (2001)
Hellier, P., Barillot, C., Mémin, E., Pérez, P.: Hierarhical Estimation of a Dense Deformation Field for 3-D RobustRegistration. IEEE Transactions on Medical Images 20, 388–402 (2001)
Feldmar, J., Ayache, N.: Rigid, Affine and Locally Affine Registration of Free-Form Surfaces. The International Journal of Computer Vision 18 (1996)
Dengler, J.: Estimation of Discontinuous Displacement Vector Fields with the Minimum Description Length Criterion. In: Proc. of CVPR, pp. 276–282 (1991)
Rousseeuw, P.: Least Median of Squares Regression. Journal of the American Statistical Association 79, 871–880 (1984)
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© 2006 Springer-Verlag Berlin Heidelberg
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Pitiot, A., Guimond, A. (2006). Geometrical Regularization of Displacement Fields with Application to Biological Image Registration. In: Pluim, J.P.W., Likar, B., Gerritsen, F.A. (eds) Biomedical Image Registration. WBIR 2006. Lecture Notes in Computer Science, vol 4057. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11784012_13
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DOI: https://doi.org/10.1007/11784012_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35648-6
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