An Analysis of Spatial- and Fourier-Multiplexed Imaging

Gordon Wetzstein, Ivo Ihrke, Wolfgang Heidrich

The University of British Columbia

Technical Report: UBC CS TR-2009-06

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   author = {Gordon Wetzstein and Ivo Ihrke and Wolfgang Heidrich},
   title = {{An Analysis of Spatial- and Fourier-Multiplexed Imaging}},
   institution = {University of British Columbia},
   number = {UBC CS TR-2009-06},
   month = {March},
   year = {2009},


Multiplexing is a common technique for encoding high-dimensional image data into a single two-dimensional image. Examples of spatial multiplexing include Bayer patterns to encode color channels, and integral images to encode light fields. In the Fourier domain, optical heterodyning has been used to encode light fields.

In this report, we analyze the relationship between spatial and Fourier multiplexing techniques. We develop this analysis on the example of multi-spectral imaging, and then generalize it to light fields and other properties. We also analyze the effects of sensor saturation on Fourier multiplexing techniques such as optical heterodyning, and devise a new optimization approach for recovering saturated detail.