Color image watermarking method based on quaternion index matrix
A quaternion exponential moment, color image technology, applied in the direction of image data processing, image data processing, instruments, etc., can solve the problem that the local feature area does not have complete affine invariance, can not achieve blind detection of watermark information, false alarm rate higher question
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[0063] Process such as Figure 6 Shown:
[0064] a. to calculate figure 1 the quaternion exponent moment of the raw color image shown;
[0065] suppose For the color image in the polar coordinate system, define the quaternion index moment of the color image
[0066]
[0067] in, is a unit pure quaternion, where the choice , represents the radial basis function Conjugates of and have , ;
[0068] suppose f R , and Represent the three components of R, G, and B of the color image, and respectively represent the traditional exponential moments of the three components of the color image R, G, and B, Indicates to take the plural the real part of Indicates to take the plural The imaginary part of , the specific calculation process of the quaternion exponential moment is deduced according to the traditional exponential moment and quaternion theory:
[0069]
[0070] in:
[0071] .
[0072]
[0073] b. Reconstruct the original color ima...
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