Abstract
This chapter describes an application of the spline-based wavelet frames to the spectral imaging. It presents a method that enables to convert a regular digital camera into a snapshot spectral imager by equipping the camera with a dispersive diffuser and with a compressed sensing-based algorithm for digital processing. The method relies on the assumption that typical images can be sparsely represented in the frame domain. The solution is found from the constrained \(l_{1}\) minimization of a functional by Bregman iterations. Results of optical experiments are reported. The chapter is based on the paper (Golub et al., Appl. Opt. 55, 432–443, (2016), [11]).
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Notes
- 1.
L is the number of spectral bands in the spectral cube.
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Averbuch, A.Z., Neittaanmäki, P., Zheludev, V.A. (2019). Snapshot Spectral Imaging. In: Spline and Spline Wavelet Methods with Applications to Signal and Image Processing. Springer, Cham. https://doi.org/10.1007/978-3-319-92123-5_10
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DOI: https://doi.org/10.1007/978-3-319-92123-5_10
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