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Optical Engineering

Spectrum reconstruction for filter-array spectrum sensor from sparse template selection
Author(s): Cheng-Chun Chang; Nan-Ting Lin; Umpei Kurokawa; Byung Il Choi
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Paper Abstract

In recent years, miniature spectrometers have been found to be useful in many applications to resolve spectrum signatures of materials. In this paper, algorithms are proposed to realize a miniature spectrometer using a low-cost filter-array spectrum sensor. Conventionally, the filter-array spectrum sensor can be modeled as an overdetermined problem, and the spectrum can be reconstructed by solving a set of linear equations. In this paper, we instead model the spectrum reconstruction process as an underdetermined problem, and bring up the concept of template-selection by sparse representation. l1 − norm minimization is introduced to achieve a high reconstruction resolution. Both simulation and experimental results show that a superior quality of spectrum reconstruction can be made possible from the presented underdetermined approach.

Paper Details

Date Published: 1 November 2011
PDF: 8 pages
Opt. Eng. 50(11) 114402 doi: 10.1117/1.3645086
Published in: Optical Engineering Volume 50, Issue 11
Show Author Affiliations
Cheng-Chun Chang, National Taipei Univ. of Technology (Taiwan)
Nan-Ting Lin, National Taipei Univ. of Technology (Taiwan)
Umpei Kurokawa, nanoLambda (United States)
Byung Il Choi, nanoLambda (United States)

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