Abstract
The main focus of this paper is 3D+t shape recovery from 3D spatial data and 2D+t temporal sequences. This reconstruction is particularly challenging due to the great deal of in-depth information loss observed on the 2D+t temporal sequence. Our approach embed a geometrical local constraint to handle the critical lack of information. This prior constraint is defined by a spherical topology because several applications may be concerned. It allows us to model relevantly the 3D-to-2D transformation that reduces each 3D image into a 2D frame. We then can build a 3D inaccurate inverse reconstruction of each 2D frame belonging to the video, i.e. 2D+t sequence. These inaccurate 3D images are enhanced by gradual motion compensation using a regularity criterion. Results on synthetic data are displayed.
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References
Staneva, G., Angelova, M., Koumanov, K.: Phospholipase a2 promotes raft budding and fission from giant liposomes. Chem. Phys. Lipids 129, 53–62 (2004)
Natterer, F.: The mathematics of computerized tomography. Wiley, New York (1986)
Huei-Yung, L.: Computer vision techniques for complete 3D model reconstruction. PhD thesis, State university of New York at Stony Brook (2002)
Gueziec, A., Kazanzides, P., Williamson, B., Taylor, R.H.: Anatomy-based registration of CT-scan and intraoperative X-ray images for guiding a surgical robot. IEEE Trans. Med. Imaging 17, 715–728 (1998)
Lemieux, L., Jagoe, R., Fish, D.R., Kitchen, N.D., Thomas, D.G.: A patient-tocomputed-tomography image registration method based on digitally reconstructed radiographs. Med. Phys. 21, 1749–1760 (1994)
Glowinski, R.: Numerical Methods for Nonlinear Variational Problems. Springer edn. Series in computational physics, New York (1984)
Lee, S., Wolberg, G., Shin, S.: Scattered data interpolation with multilevel b-splines. IEEE Transactions on Visu. and Comput. Graph. 3(3), 228–244 (1997)
Rekik, W., Béréziat, D., Dubuisson, S.: Mapvis: a map-projection based tool for visualizing scalar and vectorial information lying on spheroidal surfaces. In: Proceedings of IV 2005, London (July 2005)
Weickert, J., Schnörr, C.: Variational optic flow computation with a spatio-temporal smoothness constraint. Journal of Math. Imag. and Vision 14(3), 245–255 (2001)
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Rekik, W., Béréziat, D., Dubuisson, S. (2007). 3D+t Reconstruction in the Context of Locally Spheric Shaped Data Observation. In: Kropatsch, W.G., Kampel, M., Hanbury, A. (eds) Computer Analysis of Images and Patterns. CAIP 2007. Lecture Notes in Computer Science, vol 4673. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74272-2_60
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DOI: https://doi.org/10.1007/978-3-540-74272-2_60
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74271-5
Online ISBN: 978-3-540-74272-2
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