Efficient adaptation of complex-valued noiselet sensing matrices for compressed single-pixel imaging

Minimal mutual coherence of discrete noiselets and Haar wavelets makes this pair of bases an essential choice for the measurement and compression matrices in compressed-sensing-based single-pixel detectors. In this paper we propose an efficient way of using complex-valued and non-binary noiselet fun...

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Bibliographic Details
Published in:arXiv.org 2016-06
Main Authors: Pastuszczak, Anna, Szczygieł, Bartłomiej, Mikołajczyk, Michał, Kotyński, Rafał
Format: Article
Language:English
Subjects:
Light
Mathematical analysis
Pixels
Sampling
Spatial light modulators
Wavelet analysis
Online Access:Get full text
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Summary:Minimal mutual coherence of discrete noiselets and Haar wavelets makes this pair of bases an essential choice for the measurement and compression matrices in compressed-sensing-based single-pixel detectors. In this paper we propose an efficient way of using complex-valued and non-binary noiselet functions for object sampling in single-pixel cameras with binary spatial light modulators and incoherent illumination. The proposed method allows to determine m complex noiselet coefficients from m+1 binary sampling measurements. Further, we introduce a modification to the complex fast noiselet transform, which enables computationally-efficient real-time generation of the binary noiselet-based patterns using efficient integer calculations on bundled patterns. The proposed method is verified experimentally with a single-pixel camera system using a binary spatial light modulator.
ISSN:2331-8422
DOI:10.48550/arxiv.1606.04535