A Method of Image Fusion and Super-resolution Based on Variation and Fractional Differential
A fractional differential and super-resolution technology, applied in the field of image processing and information fusion, can solve the problems of high spatial resolution and single function of the image to be fused
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Embodiment 1
[0042] Embodiment 1: as Figure 1-19 As shown, an image fusion and super-resolution implementation method based on variation and fractional differentiation, the steps of the method are as follows:
[0043] A. L low-resolution images to be fused from multiple sources as a multi-channel image , while introducing weighted multi-channel images ;in, is the i-th image f i (x, y) weight coefficient;
[0044] B. Use the eigenvalues and eigenvectors of the structural tensor of the weighted multi-channel image f(x, y) in step A to describe the change of its own information, and thus obtain the weighted multi-channel image f(x ,y) gradient information V(x,y);
[0045] C. In the implementation of super-resolution, assuming that the ideal super-resolution fusion image I is known, the low-resolution fusion image HI is obtained by acting on the image through the downsampling operator matrix H;
[0046] D. According to the gradient information V(x, y) obtained in step B and the gr...
Embodiment 2
[0071] Embodiment 2: as Figure 1-19 As shown, an image fusion and super-resolution implementation method based on variation and fractional differentiation, the steps of the method are as follows:
[0072] A. L low-resolution images to be fused from multiple sources as a multi-channel image , while introducing weighted multi-channel images ;in, is the i-th image weight coefficient;
[0073] B. Use the eigenvalues and eigenvectors of the structural tensor of the weighted multi-channel image f(x, y) in step A to describe the change of its own information, and thus obtain the weighted multi-channel image f(x ,y) gradient information V(x,y);
[0074] C. In the implementation of super-resolution, assuming that the ideal super-resolution fusion image I is known, the low-resolution fusion image HI is obtained by applying the downsampling operator matrix H to the image; this process can be expressed as HI= P.I.Q:
[0075] in,
[0076] ,
[0077] ,
[0078] r and ...
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