3D-Object Space Reconstruction from Planar Recorded Data of 3D-Integral Images
- 101 Downloads
The paper presents a novel algorithm for object space reconstruction from the planar (2D) recorded data set of a 3D-integral image. The integral imaging system is described and the associated point spread function is given. The space data extraction is formulated as an inverse problem, which proves ill-conditioned, and tackled by imposing additional conditions to the sought solution. An adaptive constrained 3D-reconstruction regularization algorithm based on the use of a sigmoid function is presented. A hierarchical multiresolution strategy which employes the adaptive constrained algorithm to obtain highly accurate intensity maps of the object space is described. The depth map of the object space is extracted from the intensity map using a weighted Durbin–Willshaw algorithm. Finally, illustrative simulation results are given.
Unable to display preview. Download preview PDF.
- 1.G. Lippmann, “La Photographie Integrale. Comtes Rendus, Academie des Sciences,” vol. 146, 1908, pp. 446–451.Google Scholar
- 2.T. Okoshi, Three Dimensional Imaging Techniques. Academic Press, 1976.Google Scholar
- 3.N. Davies and M. McCormick, “Holoscopic Imaging with True 3D-Content in Full Natural Colour,” J. Phot. Science, vol. 40, 1992, pp. 46–49.Google Scholar
- 5.S. Manolache, A. Aggoun, M. McCormick, and N. Davies, “A Mathematical Model of a 3D-Lenticular Integral Recording System,” in Proceedings of IEEE Vision, Modeling and Visualization, Erlangen, 1999, pp. 51–58.Google Scholar
- 6.M. Bertero and P. Boccacci, Introduction to Inverse Problems in Imaging. Institute of Physics Publishing, 1998.Google Scholar
- 7.A.N. Tikhonov, “Solution of Incorrectly Formulated Problems and the Regularization Method,” Soviet Math. Dokl., vol. 4, 1963, pp. 1035–1038.Google Scholar
- 8.J.M. Ortega and W.C. Rheinboldt, Iterative Solutions of Nonlinear Equations in Several Variables. Academic Press, 1970.Google Scholar
- 10.S.Y. Kung, Digital Neural Networks, Prentice-Hall, 1993.Google Scholar