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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
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)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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
eBook Packages: Computer ScienceComputer Science (R0)