Abstract
This paper provides a novel solution to the volumetric similarity registration problem usually encountered in statistical study of shapes and shape-based image segmentation. Here, shapes are implicitly represented by characteristic functions (CFs). By mapping shapes to a spherical coordinate system, shapes to be registered are projected to unit spheres and thus, rotation and scale parameters can be conveniently calculated. Translation parameter is computed using standard phase correlation technique. The method goes through intensive tests and is shown to be fast, robust to noise and initial poses, and suitable for a variety of similarity registration problems including shapes with complex structures and various topologies.
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References
Bresson, X., Vandergheynst, P., Thiran, J.: A variational model for object segmentation using boundary information and shape prior driven by the mumford-shah functional. International Journal of Computer Vision 68, 145–162 (2006)
Huang, X., Paragios, N., Metaxas, D.: Shape registration in implicit spaces using information theory and free form deformations. IEEE Transactions on Pattern Analysis and Machine Intelligence 28, 1303–1318 (2006)
Paragios, N., Rousson, M., Ramesh, V.: Non-rigid registration using distance functions. Computer Vision and Image Understanding 89, 142–165 (2003)
Chen, Y., Tagare, H., Thiruvenkadam, S., Huang, F., Wilson, D., Gopinath, K., Briggs, R., Geiser, E.: Using prior shapes in geometric active contours in a variational framework. International Journal of Computer Vision 50, 315–328 (2002)
Osher, S., Sethian, J.: Fronts propagating with curvature-dependent speed: algorithms based on hamilton-jacobi formulations. Journal of Computational Physics 79, 12–49 (1988)
Besl, P., McKay, N.: A method for registration of 3-d shapes. IEEE Transactions on Pattern Analysis and Machine Intelligence 14, 239–256 (1992)
Gelfand, N., Mitra, N., Guibas, L., Pottmann, H.: Robust global registration. In: Proceedings of the Third Eurographics Symposium on Geometry Processing, p. 197. Eurographics Association (2005)
Breitenreicher, D., Schnörr, C.: Robust 3d object registration without explicit correspondence using geometric integration. Machine Vision and Applications 21, 601–611 (2010)
Al-Huseiny, M., Mahmoodi, S., Nixon, M.: Robust rigid shape registration method using a level set formulation. In: International Symposium in Visual Computing, pp. 252–261 (2010)
Diebel, J.: Representing attitude: Euler angles, unit quaternions, and rotation vectors. Matrix (2006)
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© 2013 Springer-Verlag Berlin Heidelberg
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Liu, W., Mahmoodi, S., Bennett, M.J., Havelock, T. (2013). A Solution to the Similarity Registration Problem of Volumetric Shapes. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2013. Lecture Notes in Computer Science, vol 8033. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41914-0_34
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DOI: https://doi.org/10.1007/978-3-642-41914-0_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41913-3
Online ISBN: 978-3-642-41914-0
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