Comparison of Hadamard imaging and compressed sensing for low resolution hyperspectral imaging

Streeter, Lee; Burling-Claridge, G. Robert; Cree, Michael J.; Künnemeyer, Rainer

doi:10.1109/ivcnz.2008.4762074

Cited by 5 publications

(2 citation statements)

References 14 publications

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“…Generally, to achieve negative mask values, one must use a phase sensitive set up, such as a THz time domain system. Alternatively, researchers have emulated a system with negative mask values by taking two sets of [1,0] measurements and subtracting them to achieve an effective measurement matrix with either [1,-1] or [1, 0, -1] values 26 . This approach has two main disadvantages: first, it doubles the acquisition time as it takes twice the number of measurements and second, it increases the noise as the variance is additive 27 .…”

Section: Negative Mask Valuesmentioning

confidence: 99%

Coded and compressive THz imaging with metamaterials

et al. 2014

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Imaging in long wavelength regimes holds huge potential in many fields, from security to skin cancer detection. However, it is often difficult to image at these frequencies -the so called 'THz gap 1 ' is no exception. Current techniques generally involve mechanically raster scanning a single detector to gain spatial information 2 , or utilization of a THz focal plane array (FPA) 3 . However, raster scanning results in slow image acquisition times and FPAs are relatively insensitive to THz radiation, requiring the use of high powered sources. In a different approach, a single pixel detector can be used in which radiation from an object is spatially modulated with a coded aperture to gain spatial information. This multiplexing technique has not fully taken off in the THz regime due to the lack of efficient coded apertures, or spatial light modulators (SLMs), that operate in this regime.Here we present the implementation of a single pixel THz camera using an active SLM. We use metamaterials to create an electronically controllable SLM, permitting the acquisition of high-fidelity THz images. We gain a signal-to-noise advantage over raster scanning schemes through a multiplexing technique 4 . We also use a source that is orders of magnitude lower in power than most THz FPA implementations 3,5 . We are able to utilize compressive sensing algorithms to reduce the number of measurements needed to reconstruct an image, and hence increase our frame rate to 1 Hz. This first generation device represents a significant step towards the realization of a single pixel THz camera.

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Section: Negative Mask Valuesmentioning

confidence: 99%

Coded and compressive THz imaging with metamaterials

et al. 2014

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“…Recently, some other kinds of random coded patterns with different statistical property have been used to improve the quality of GI, which is also helpful to reduce the measurement number. For example, non-negative exponential statistical patterns [20], multi-correlation-scale patterns [21], 2D orthogonal sinusoidal patterns [22,23], and Hadamard patterns [24]. However, the internal relations between the property of random coded patterns and the quality of GI are not discussed.…”

Section: Introductionmentioning

confidence: 99%

The influence of the property of random coded patterns on fluctuation-correlation ghost imaging

Wang¹,

Gong²,

Shao³

et al. 2016

J. Opt.

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According to the reconstruction feature of fluctuation-correlation ghost imaging (GI), we define a normalized characteristic matrix and the influence of the property of random coded patterns on GI is investigated based on the theory of matrix analysis. Both simulative and experimental results demonstrate that for different random coded patterns, the quality of fluctuation-correlation GI can be predicted by some parameters extracted from the normalized characteristic matrix, which suggests its potential application in the optimization of random coded patterns for GI system.

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A Russian Dolls ordering of the Hadamard basis for compressive single-pixel imaging

Sun

Meng

Edgar

et al. 2017

Sci Rep

250

154

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Single-pixel imaging is an alternate imaging technique particularly well-suited to imaging modalities such as hyper-spectral imaging, depth mapping, 3D profiling. However, the single-pixel technique requires sequential measurements resulting in a trade-off between spatial resolution and acquisition time, limiting real-time video applications to relatively low resolutions. Compressed sensing techniques can be used to improve this trade-off. However, in this low resolution regime, conventional compressed sensing techniques have limited impact due to lack of sparsity in the datasets. Here we present an alternative compressed sensing method in which we optimize the measurement order of the Hadamard basis, such that at discretized increments we obtain complete sampling for different spatial resolutions. In addition, this method uses deterministic acquisition, rather than the randomized sampling used in conventional compressed sensing. This so-called ‘Russian Dolls’ ordering also benefits from minimal computational overhead for image reconstruction. We find that this compressive approach performs as well as other compressive sensing techniques with greatly simplified post processing, resulting in significantly faster image reconstruction. Therefore, the proposed method may be useful for single-pixel imaging in the low resolution, high-frame rate regime, or video-rate acquisition.

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Comparison of Hadamard imaging and compressed sensing for low resolution hyperspectral imaging

Cited by 5 publications

References 14 publications

Coded and compressive THz imaging with metamaterials

Coded and compressive THz imaging with metamaterials

The influence of the property of random coded patterns on fluctuation-correlation ghost imaging

A Russian Dolls ordering of the Hadamard basis for compressive single-pixel imaging

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