Full Hadamard matrix coding imaging method

Abstract

The invention provides a full Hadamard matrix coding imaging method. Two elements such as +1 and -1 in a Hadamard matrix are respectively extracted through matrix operations, the Hadamard matrix is divided into a Hadamard positive matrix and a Hadamard negative matrix which can be realized in an optical path, and image signals are coded by using the Hadamard positive matrix and the Hadamard negative matrix; and subtraction is performed between a measured value obtained by the coding of the Hadamard positive matrix and a measured value obtained by the coding of the Hadamard negative matrix in decoding, and then an image is reconstructed through matrix operations. The method realizes the Hadamard matrix in optical path modulation and greatly improves the imaging sensitivity and signal-to-noise ratio.

Description

technical field

[0001] The invention belongs to the technical field of weak signal detection and imaging, and in particular relates to an encoding method for encoding imaging. Background technique

[0002] Encoded imaging solves the problem of detection and imaging of low-light signals. Coded imaging uses digital micromirror device DMD to perform pixel-level combined measurement of image signals in the optical system, and the code matrix that controls the flipping of digital micromirror device DMD determines the combined measurement method.

[0003] At present, the widely used encoding matrix is ​​a circulant matrix, which is transformed from the Hadamard matrix. However, the optimal encoding matrix in theory is Hadamard matrix. Hadamard matrix is ​​composed of +1 and -1 elements, which cannot be realized in the actual optical path, while the circular matrix is ​​composed of +1 and 0 elements, which is easy to realize in the actual optical path, so Currently, circulant mat...

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