Two-dimensional discrete Fourier transform nature

1. Linear properties (addition theorem):
2. The scaling properties (similarity theorem)
3. separability:
4. The spatial displacement (displacement theorem):
5. frequency shift:
6. periodically:
7. Conjugate Symmetry:
8. The rotation invariance:
9. Mean:
10. convolution theorem:
11. theorems:
12. The Laplace function:

Fourier transform is
applied in low-pass filtering of the image
used in the image noise filter
applied in the selective filtering the image
applied image compression
used in image enhancement

Other transform
discrete cosine transform

Walsh - Hadamard transform

Obliquely (Slant) conversion

Hotelling transform (principal component)

KL transform

Haar transform

Wavelet

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Origin blog.csdn.net/weixin_42572978/article/details/93477211