Compressive Imaging Using Toeplitz-circulant-block Phase Mask Matrices
张成 Zhang Cheng, 杨海蓉 YANG Hai-rong, 韦穗 Wei Sui
Abstract
张成 Zhang Cheng, 杨海蓉 YANG Hai-rong, 韦穗 Wei Sui
Abstract
Toeplitz-Circulant-Block phase mask matrices are proposed to implement image acquisition based on Toeplitz and Circulant matrices.Simulation results show that novel phase mask matrices can effectively capture the information of image with a significant reduction of measurements.The new research of phase mask matrices provides more supports for deterministic measurement in the application of compressive imaging.Due to its specific structure,the proposed matrices have more advantages than Toeplitz and Circulant matrices,reduce the difficulty and costs of the physical realization,and provide some theoretical,computing and technical support for new design of camera.
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Toeplitz-Circulant-Block phase mask matrices are proposed to implement image acquisition based on Toeplitz and Circulant matrices.Simulation results show that novel phase mask matrices can effectively capture the information of image with a significant reduction of measurements.The new research of phase mask matrices provides more supports for deterministic measurement in the application of compressive imaging.Due to its specific structure,the proposed matrices have more advantages than Toeplitz and Circulant matrices,reduce the difficulty and costs of the physical realization,and provide some theoretical,computing and technical support for new design of camera.
Key concepts: Circulant matrix, Toeplitz matrix, Block (permutation group theory), Realization (probability), Computer science, Phase (matter), Reduction (mathematics), Image (mathematics)