Single-image super-resolution method based on multi-scale structural self-similarity and compressive sensing
A technology of structural self-similarity and compressed sensing, applied in image enhancement, image data processing, graphics and image conversion, etc., can solve the problems of high computational complexity, may not be able to provide additional information for low-resolution images to be processed, and is not effective. Achieve high computing efficiency
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[0019] The present invention will be described in further detail below in conjunction with the accompanying drawings.
[0020] Let X ∈ R N Denotes a high-resolution image, Y ∈ R M represents a low-resolution image, Represents a high-resolution reconstructed image. Then the relationship between the high-resolution image X and the low-resolution image Y can be expressed as:
[0021] Y=DHX+υ (2.1)
[0022] Among them, D represents the downsampling matrix, H represents the fuzzy matrix, and υ represents the additive noise. The observation model shown in Equation (2.1) shows that the low-resolution image is obtained from the high-resolution image through blurring, down-sampling, and adding noise. The super-resolution method reconstructs high-resolution images by solving the inverse process of the degradation process, which can be expressed as the following optimization problem:
[0023] X ^ = arg min ...
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