Compressed sensing for reconstruction of reflectance spectra from tristimulus values

M, Ravindranath and Challa, Subrahmanya Sastry (2010) Compressed sensing for reconstruction of reflectance spectra from tristimulus values. In: 2nd Vaagdevi International Conference on Information Technology for Real World Problems, 9-10, December 2010, Warangal; India.

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Abstract

The present work deals with the reconstruction of the spectrum from the tristimulus values that is spectrally similar to the original function. It is known that in the estimation of reflectances from a small number of responses of colour sensors, some wavelengths occur with very high probability. Therefore the spectra of reflectances are sparse in nature. The recently proposed Compressed Sensing (CS) is a powerful tool for recovering the sparsest solution of under-determined system of equations. Intending to exploit the sparsity of colour spectrum, this paper attempts to recover the colour spectrum from tristimulus values in the framework of CS. The experimental results presented herein vindicate that the CS based procedure provides better reconstruction than the method based on the standard pseudo inverse. © 2010 IEEE.

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IITH Creators:
IITH CreatorsORCiD
Challa, Subrahmanya SastryUNSPECIFIED
Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Compressed sensing; High probability; Pseudo-inverses; Reflectance spectrum; System of equations; Tristimulus values; Under-determined
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: Users 3 not found.
Date Deposited: 13 Oct 2014 06:33
Last Modified: 01 Sep 2017 10:16
URI: http://raiithold.iith.ac.in/id/eprint/188
Publisher URL: https://doi.org/10.1109/VCON.2010.23
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