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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 28, Iss. 12 — Dec. 1, 2011
  • pp: 2540–2553

Scaling law for computational imaging using spherical optics

Oliver S. Cossairt, Daniel Miau, and Shree K. Nayar  »View Author Affiliations

JOSA A, Vol. 28, Issue 12, pp. 2540-2553 (2011)

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The resolution of a camera system determines the fidelity of visual features in captured images. Higher resolution implies greater fidelity and, thus, greater accuracy when performing automated vision tasks, such as object detection, recognition, and tracking. However, the resolution of any camera is fundamentally limited by geometric aberrations. In the past, it has generally been accepted that the resolution of lenses with geometric aberrations cannot be increased beyond a certain threshold. We derive an analytic scaling law showing that, for lenses with spherical aberrations, resolution can be increased beyond the aberration limit by applying a postcapture deblurring step. We then show that resolution can be further increased when image priors are introduced. Based on our analysis, we advocate for computational camera designs consisting of a spherical lens shared by several small planar sensors. We show example images captured with a proof-of-concept gigapixel camera, demonstrating that high resolution can be achieved with a compact form factor and low complexity. We conclude with an analysis on the trade-off between performance and complexity for computational imaging systems with spherical lenses.

© 2011 Optical Society of America

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(080.3620) Geometric optics : Lens system design
(100.1830) Image processing : Deconvolution
(100.2000) Image processing : Digital image processing
(110.1758) Imaging systems : Computational imaging

Original Manuscript: June 23, 2011
Revised Manuscript: September 27, 2011
Manuscript Accepted: September 28, 2011
Published: November 15, 2011

Oliver S. Cossairt, Daniel Miau, and Shree K. Nayar, "Scaling law for computational imaging using spherical optics," J. Opt. Soc. Am. A 28, 2540-2553 (2011)

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