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Validity of Wigner distribution function for ray-based imaging

Publication ,  Conference
Cuypers, T; Horstmeyer, R; Oh, SB; Bekaert, P; Raskar, R
Published in: 2011 IEEE International Conference on Computational Photography, ICCP 2011
May 23, 2011

In this work we provide an introduction to the Wigner Distribution Function (WDF) using geometric optics principles. The WDF provides a useful model of wave-fields, allowing simulation of diffraction and interference effects. We attempt to explain these Fourier optics concepts to computational photography researchers by clarifying the relationship between the WDF and position-angle representations. We demonstrate how the WDF can be used to simulate diffraction effects using a light field representation and discuss its validity in the near-field, far-field, and under the paraxial approximation. Finally, we demonstrate that although the WDF representation contains negative values, any projection always yields a non-negative intensity value. © 2011 IEEE.

Duke Scholars

Published In

2011 IEEE International Conference on Computational Photography, ICCP 2011

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Publication Date

May 23, 2011
 

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Cuypers, T., Horstmeyer, R., Oh, S. B., Bekaert, P., & Raskar, R. (2011). Validity of Wigner distribution function for ray-based imaging. In 2011 IEEE International Conference on Computational Photography, ICCP 2011. https://doi.org/10.1109/ICCPHOT.2011.5753129
Cuypers, T., R. Horstmeyer, S. B. Oh, P. Bekaert, and R. Raskar. “Validity of Wigner distribution function for ray-based imaging.” In 2011 IEEE International Conference on Computational Photography, ICCP 2011, 2011. https://doi.org/10.1109/ICCPHOT.2011.5753129.
Cuypers T, Horstmeyer R, Oh SB, Bekaert P, Raskar R. Validity of Wigner distribution function for ray-based imaging. In: 2011 IEEE International Conference on Computational Photography, ICCP 2011. 2011.
Cuypers, T., et al. “Validity of Wigner distribution function for ray-based imaging.” 2011 IEEE International Conference on Computational Photography, ICCP 2011, 2011. Scopus, doi:10.1109/ICCPHOT.2011.5753129.
Cuypers T, Horstmeyer R, Oh SB, Bekaert P, Raskar R. Validity of Wigner distribution function for ray-based imaging. 2011 IEEE International Conference on Computational Photography, ICCP 2011. 2011.

Published In

2011 IEEE International Conference on Computational Photography, ICCP 2011

DOI

Publication Date

May 23, 2011