Compressive Imaging Using Toeplitz-circulant-block Phase Mask Matrices

Cheng, 张成 Zhang; Hai-rong, 杨海蓉 Yang; Sui, 韦穗 Wei

doi:10.3788/gzxb20114009.1322

Cited by 2 publications

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“…However, in practice, we found that the matrix affects modulation efficiency and hardware compatibility. The use of Gaussian and Bernoulli matrices for light field modulation implies a large amount of computation as well as a large amount of storage [8] . The structure of the partial Hadamard matrix itself requires the dimension of the matrix to be an integer multiple of 2.…”

Section: Introductionmentioning

confidence: 99%

Rotational random extraction of Toeplitz matrix for ghost imaging

Cheng

Sun²,

Chen³

et al. 2023

Fourth International Conference on Optoelectronic Science and Materials (ICOSM 2022)

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If Toeplitz matrix is used for compression-aware ghost imaging, the imaging quality will be very low. In order to solve the problem, a new experimental scheme for ghost imaging is proposed in this paper. The scheme first extracts the Toeplitz matrix elements randomly and sparsely using a revolving matrix, and then modulates the illumination light field. The sampling is performed by using the Toeplitz matrix as a fixed matrix and another measurement matrix as a revolving matrix. The revolving matrix rotates around its center at a constant angular velocity. The fixed Toeplitz matrix is superimposed with the revolving matrix to form the optical field modulation matrix. The results of simulation experiments show that light field modulation scheme of the rotational random extraction of Toeplitz matrix can modulate the light field with more randomness. The use of this scheme in ghost imaging experiments results in high quality images with low distortion.

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Section: Introductionmentioning

confidence: 99%

Rotational random extraction of Toeplitz matrix for ghost imaging

Cheng

Sun²,

Chen³

et al. 2023

Fourth International Conference on Optoelectronic Science and Materials (ICOSM 2022)

View full text Add to dashboard Cite

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Single-Shot Compressed Imaging via Random Phase Modulation

et al. 2022

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Compressed sensing (CS) provides an innovative framework for signal sampling, which enables accurate recovery of the sparse or compressible signal from a small set of linear measurements far fewer than the Nyquist rate in traditional signal processing. In compressed sensing, random modulation plays a key role, which can spread out the signal information more or less evenly across all locations. There are many modulation techniques, such as amplitude modulation, frequency modulation, phase modulation, spectrum modulation, and so on. Among these modulation techniques, phase modulation is vital due to the efficiency and convenience of modulation. In this paper, we review both the theoretical and application of compressed sensing and several compressed imaging systems using random phase modulation. First, we review the fundamentals of compressed sensing, dividing it into three parts: sparse representation, incoherent measurement, and nonlinear reconstruction algorithm. We then show how phase modulation can be applied to compressed sensing and compressed imaging, where the presentation can be divided into six main parts, corresponding to different aspects of phase modulation applied in compressed sensing or compressed imaging: (1) Fundamentals of compressed sensing. (2) Principles of phase modulation. (3) Single-shot compressed imaging with spatial-domain single random phase mask (CI-SSRPM). (4) Single-shot compressed imaging with a random convolution using a double random phase mask (CI-DRPM). (5) Single-shot compressed imaging with Fourier-domain single random phase mask (CI-FSRPM). (6) Single-shot compressed imaging with double random phase encoding (CI-DRPE).

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Compressive Imaging Using Toeplitz-circulant-block Phase Mask Matrices

Cited by 2 publications

References 0 publications

Rotational random extraction of Toeplitz matrix for ghost imaging

Rotational random extraction of Toeplitz matrix for ghost imaging

Single-Shot Compressed Imaging via Random Phase Modulation

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