Reconstruction of Scalar Diffraction Field from Distributed Data Points Over 3D Space

Diffraction field computation is an important task in the signal conversion stage of the holographic 3DTV. We consider an abstract setting, where the diffraction field of the desired 3D scene to be displayed is given by discrete samples distributed over 3D space. Based on these samples, a model of the diffraction field should be built to allow the field computation at any desired point. In our previous works, we have proved our concepts for the simplistic 2D case. In this paper, we generalize the earlier proposed techniques, namely the projection onto convex sets and conjugate gradient based techniques and test them for their computational efficiency and memory requirements for a specific 3D case.

[1]  J. Goodman.  Introduction to Fourier optics , 1969 .

[2]  Levent Onural,et al.  Diffraction field computation from arbitrarily distributed data points in space , 2007, Signal Process. Image Commun..

[3]  G. Sherman,et al.  Application of the convolution theorem to Rayleigh's integral formulas. , 1967, Journal of the Optical Society of America.

[4]  Levent Onural,et al.  Impulse functions over curves and surfaces and their applications to diffraction , 2006 .

[5]  Levent Onural,et al.  Computation of holographic patterns between tilted planes , 2006, International Conference on Holography, Optical Recording, and Processing of Information.