Infrared image reconstruction method based on taking Archimedes spiral as observation matrix

Abstract

The present invention discloses an infrared image reconstruction method based on taking an Archimedes spiral as an observation matrix. The method contains the following steps: Step (1): reading an infrared image with a required reconstruction dimension of NxN, and according to the dimension, defining an Archimedes spiral polar coordinate equation; Step (2): uniformly collecting N2 points on the Archimedes spiral to construct a determined sequence; Step (3): by using the determined sequence, constructing a certainty matrix as an initial observation matrix of the infrared image with the requiredreconstruction dimension of NxN; and Step (4): constructing the dimension MxN of the certainty matrix according to the sampling rate to obtain a certainty observation matrix, and reconstructing the infrared image by using the certainty observation matrix. According to the method disclosed by the present invention, the CS theory is introduced into the infrared imaging system to obtain a high-resolution reconstructed infrared image, and the obtained reconstructed infrared image contains more valuable target information, so that subsequent target detection, recognition and tracking work can be facilitated; and the reconstruction error is significantly reduced, and the peak signal to noise ratio is significantly improved.

Description

technical field [0001] The invention belongs to the field of image processing, and in particular relates to an infrared image reconstruction method based on an Archimedes spiral as an observation matrix. Background technique [0002] The infrared imaging system passively receives target radiation, is less affected by weather and climate conditions, has strong anti-interference ability, and has good concealment. Due to the advantages of the infrared imaging system itself, it has been widely used in civilian and military fields. Since it is difficult for traditional infrared imaging systems to reconstruct infrared images quickly and with high precision, the demand for high-resolution infrared imaging technology is imminent. [0003] In recent years, the emerging CS theory of compressed sensing obtains less observation data through projection observation, and then uses reconstruction algorithms to solve optimization problems, and reconstructs the original signal from a small a...

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Problems solved by technology

Currently Liu X J, Xia S T, Dai T's article IEEEInternational Conference on Acoustics, Speech and Signal Processing Vol. 85 No. A7, August 2015, Deterministic constructions of binary measurement matrices with various sizes proposed that although many random observation matrices have been proved to satisfy The construction conditions of the observation matrix, but some random observation matrices require a large amount of storage space, and the specific engineering implementation of the random observation matrix cannot be guaranteed

Li S, Ge G's article IEEE Transactions on Signal Processing Vol. 62 No. 11, April 2014, Deterministic Construction of Sparse Sensing Matrices via Finite Geometry proposed that although the random observation matrix satisfies the construction conditions of the observation matrix with a high probability, the current There is no feasible algorithm to check whether the random observation matrix satisfies the construction conditions of the observation matrix

Moreover, the computational complexity of the random observation matrix is ​​high, the storage space is large, and the hardware implementation is difficult

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