Abstract
An essential component of many medical image analysis protocols is the establishment and manipulation of feature correspondences. These image features can assume such forms spanning the range of functions of individual or regional pixel intensities to geometric structures extracted as a preprocessing segmentation step. Many algorithms focusing on the latter set of salient features attempt to reduce these structures to such geometric primitives as surfaces, curves and/or points for correspondence-based study. Although the latter geometric primitive forms the basis of many of these algorithms, unrealistic constraints such as assumptions of identical cardinality between point-sets hinder general usage. Furthermore, the local structure for certain point-sets derived from segmentation processes is often ignored. In this paper, we introduce a family of novel information-theoretic measures for pooint-set registration derived as a generalization of the well-known Shannon entropy known as the Havrda-Charvat-Tsallis entropy. This divergence measure permits a fine-tuning between robustness and sensitivity emphasis. In addition, we employ a directly manipulated free-form deformation (DMFFD) transformation model, a recently developed variant of the well-known FFD transformation model.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Tustison, N.J., Avants, B.B., Gee, J.C.: Directly manipulated free-form deformation image registration. IEEE Trans. Image Process. 18(3), 624–635 (2009)
Tustison, N.J., Awate, S.P., Gee, J.C.: Information-theoretic directly manipulated free-form deformation labeled point-set registration. Insight Journal (2009)
Tsin, Y., Kanade, T.: A correlation based approach for robust point-set registration. In: Pajdla, T., Matas, J(G.) (eds.) ECCV 2004. LNCS, vol. 3023, pp. 558–569. Springer, Heidelberg (2004)
Singh, M., Arora, H., Ahuja, N.: Robust registration and tracking using kernel density correlation. In: Proceedings of the IEEE Computer Vision and Pattern Recognition Workshop, pp. 174–182 (2004)
Jian, B., Vemuri, B.: A robust algorithm for point set registration using mixture of Gaussians. In: Proceedings of the International Conference on Computer Vision, pp. 1246–1251 (2005)
Guo, H., Rangarajan, A., Joshi, S.: Diffeomorphic Point Matching. In: Handbook of Mathematical Models in Computer Vision, pp. 205–220. Springer, Heidelberg (2005)
Wang, F., Vemuri, B., Rangarajan, A., Eisenschenk, S.: Simultaneous nonrigid registration of multiple point sets and atlas construction. IEEE Transactions on Pattern Analysis and Machine Intelligence 30(11), 2011–2022 (2008)
Basu, A., Harris, I., Hjort, N., Jones, M.: Robust and efficient estimation by minimizing a density power divergence. Biometrika 85, 549–559 (1998)
Havrda, M., Charvat, F.: Quantification method of classification processes: concept of structural alpha-entropy. Kybernetica 3, 30–35 (1967)
Tsallis, C.: Possible generalization of Boltzmann-Gibbs statistics. Journal of Statistical Physics 52, 479–487 (1988)
Gell-Mann, M., Tsallis, C.: Nonextensive Entropy. Oxford University Press, Oxford (2004)
Burbea, J., Rao, C.R.: On the convexity of some divergence measures on entropy functions. IEEE Transactions on Information Theory 28, 489–495 (1982)
Endres, D., Schindelin, J.: A new metric for probability distributions. IEEE Transactions on Information Theory 49, 1858–1860 (2003)
Majtey, A., Lamberti, P., Plastino, A.: A monoparametric family of metrics for statistical mechanics. Physica A 344, 547–553 (2004)
Vincent, P., Bengio, Y.: Manifold parzen windows. In: Thrun, S., Becker, S., Obermayer, K. (eds.) Advances in Neural Information Prcessing Systems, pp. 825–832. MIT Press, Cambridge (2003)
Rueckert, D., Sonoda, L., Hayes, C., Hill, D., Leach, M., Hawkes, D.: Nonrigid registration using free-form deformations: application to breast MR images. IEEE Trans. Med. Imaging 18(8), 712–721 (1999)
Rose, K.: Deterministic annealing for clustering, compression, classification, regression, and related optimization problems. Proceedings of the IEEE 86(11), 2210–2239 (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tustison, N.J., Awate, S.P., Song, G., Cook, T.S., Gee, J.C. (2009). A New Information-Theoretic Measure to Control the Robustness-Sensitivity Trade-Off for DMFFD Point-Set Registration. In: Prince, J.L., Pham, D.L., Myers, K.J. (eds) Information Processing in Medical Imaging. IPMI 2009. Lecture Notes in Computer Science, vol 5636. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02498-6_18
Download citation
DOI: https://doi.org/10.1007/978-3-642-02498-6_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02497-9
Online ISBN: 978-3-642-02498-6
eBook Packages: Computer ScienceComputer Science (R0)