Abstract
Piecewise-linear methods accomplish the registration by dividing the images in corresponding triangular patches, which are individually mapped through affine transformations. For this process to be successful, every pair of corresponding patches must lie on projections of a 3D plane surface; otherwise, the registration may generate undesirable artifacts, such as broken lines, which diminish the registration quality. This paper presents a new technique for improving the registration consistency by automatically refining the topology of the corresponding triangular meshes used by this method. Our approach iteratively modifies the connectivity of the meshes by swapping edges. For detecting the edges to be swapped, we analyze the local registration consistency before and after applying the action, employing for that the mutual information (MI), a metric for registration consistency significantly more robust than other well-known metrics such as normalized cross correlation (NCC) or sum of square differences (SSD). The proposed method has been successfully tested with different sets of test images, both synthetic and real.
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References
Zitová, B., Flusser, J.: Image registration methods: A survey. Image and Vision Computing 21(11), 977–1000 (2003)
Goshtasby, A.: Piecewise linear mapping functions for image registration. Pattern Recognition 19(6), 459–466 (1986)
Hartley, R.I., Zisserman, A.: Multiple View Geometry in Computer Vision, 2nd edn. Cambridge University Press, Cambridge (2004)
Shewchuk, J.R.: Lecture notes on Delaunay mesh generation. Technical Report 3, University of California at Berkeley (1999)
Hoppe, H.: Progressive meshes. In: Computer Graphics (Annual Conference Series), vol. 30, pp. 99–108 (1996)
Hoppe, H., DeRose, T., Duchamp, T., McDonald, J., Stuetzle, W.: Mesh optimization. In: Computer Graphics (Annual Conference Series), vol. 27, pp. 19–26 (1993)
Morris, D.D., Kanade, T.: Image-consistent surface triangulation. In: Computer Vision and Pattern Recognition (CVPR 2000), pp. 332–338 (2000)
Vogiatzis, G., Torr, P., Cipolla, R.: Bayesian stochastic mesh optimisation for 3D reconstruction. In: British Machine Vision Conference (BMVC 2003), pp. 711–718 (2003)
Viola, P., Wells, W.M.: Alignment by maximization of mutual information. International Journal of Computer Vision 24(2), 137–154 (1997)
Xu, G., Zhang, Z.: Epipolar Geometry in Stereo, Motion, and Object Recognition: A Unified Approach, 1st edn. Kluwer Academic Publishers, Norwell (1996)
Spanier, E.H.: Algebraic Topology, 1st edn. McGraw-Hill, New York (1966)
Cover, T.M., Thomas, J.A.: Elements of Information Theory, 1st edn. John Wiley & Sons, Inc., New York (1991)
Chen, H.M., Varshney, P.K., Arora, M.K.: Performance of mutual information similarity measure for registration of multitemporal remote sensing images. IEEE Transactions on Geoscience and Remote Sensing 41(11), 2445–2454 (2003)
Strang, G.: Introduction to Applied Mathematics, 1st edn. Wellesley-Cambridge Press, Wellesley (1986)
Geusebroek, J.M., Burghouts, G.J., Smeulders, A.W.M.: The Amsterdam library of object images. International Journal of Computer Vision 61(1), 103–112 (2005)
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Arévalo, V., González, J. (2007). Improving Piecewise-Linear Registration Through Mesh Optimization. In: Martí, J., Benedí, J.M., Mendonça, A.M., Serrat, J. (eds) Pattern Recognition and Image Analysis. IbPRIA 2007. Lecture Notes in Computer Science, vol 4478. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72849-8_16
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DOI: https://doi.org/10.1007/978-3-540-72849-8_16
Publisher Name: Springer, Berlin, Heidelberg
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