Spectrum reconstruction for filter-array spectrum sensor from sparse template selection

Cheng-Chun Chang; Nan-Ting Lin; Umpei Kurokawa; Byung Il Choi

doi:10.1117/1.3645086

1 November 2011 Spectrum reconstruction for filter-array spectrum sensor from sparse template selection

Cheng-Chun Chang, Nan-Ting Lin, Umpei Kurokawa, Byung Il Choi

Author Affiliations +

Optical Engineering, Vol. 50, Issue 11, 114402 (November 2011). https://doi.org/10.1117/1.3645086

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.

©(2011) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Cheng-Chun Chang, Nan-Ting Lin, Umpei Kurokawa, and Byung Il Choi "Spectrum reconstruction for filter-array spectrum sensor from sparse template selection," Optical Engineering 50(11), 114402 (1 November 2011). https://doi.org/10.1117/1.3645086

Published: 1 November 2011

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