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Erschienen in: International Journal of Computer Vision 2/2013

01.01.2013

On Plenoptic Multiplexing and Reconstruction

verfasst von: Gordon Wetzstein, Ivo Ihrke, Wolfgang Heidrich

Erschienen in: International Journal of Computer Vision | Ausgabe 2/2013

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Abstract

Photography has been striving to capture an ever increasing amount of visual information in a single image. Digital sensors, however, are limited to recording a small subset of the desired information at each pixel. A common approach to overcoming the limitations of sensing hardware is the optical multiplexing of high-dimensional data into a photograph. While this is a well-studied topic for imaging with color filter arrays, we develop a mathematical framework that generalizes multiplexed imaging to all dimensions of the plenoptic function. This framework unifies a wide variety of existing approaches to analyze and reconstruct multiplexed data in either the spatial or the frequency domain. We demonstrate many practical applications of our framework including high-quality light field reconstruction, the first comparative noise analysis of light field attenuation masks, and an analysis of aliasing in multiplexing applications.

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Fußnoten
1
For a 2D sensor image the bases are periodic in both spatial dimensions, but we will omit the second one in our notation of \(k\) for clarity.
 
2
Following Sect. 3.4, we omit periodicity in the second spatial dimension in our notation of \(t\) for clarity.
 
3
For other sampling patterns, corresponding, e.g., hexagonal, masking functions would be used. In addition, apodization functions can be used to reduce ringing artifacts in the reconstruction at the expense of decreasing the effective resolution, see e.g., (Veeraraghavan et al. 2007). This does not affect the proof.
 
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Metadaten
Titel
On Plenoptic Multiplexing and Reconstruction
verfasst von
Gordon Wetzstein
Ivo Ihrke
Wolfgang Heidrich
Publikationsdatum
01.01.2013
Verlag
Springer US
Erschienen in
International Journal of Computer Vision / Ausgabe 2/2013
Print ISSN: 0920-5691
Elektronische ISSN: 1573-1405
DOI
https://doi.org/10.1007/s11263-012-0585-9

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