Image edge detection method based on six-order spline scale function
A scaling function and image edge technology, applied in image analysis, image enhancement, image data processing, etc., can solve problems such as wavelet transform is difficult
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[0054] 1. An image edge detection method based on the sixth-order spline scaling function, the steps are as follows:
[0055] (1) The set image can be expressed as a matrix M, such as figure 1 As shown, the matrix consists of 500×400 pixels,
[0056] (2) Selected function, where w is the angular frequency
[0057]
[0058] (3) Selected function
[0059]
[0060] (4) Based on formula (2), calculate the function
[0061]
[0062] (5) Calculated based on formulas (2) and (3), where i is the imaginary unit
[0063] Q ψ (w)=-e -iw / 2 E. φ (w+2π)P φ (w+2π) (4)
[0064] (6) Based on (1), (4) formula
[0065]
[0066] (7) Based on formula (5), inverse Fourier transform is performed to obtain ψ(x),
[0067] (8) Based on formula (1), do Fourier inverse transform to get φ(x),
[0068] (9) Selected matrix
[0069]
[0070] In the formula,
[0071] lambda -10 =-0.0003λ -9 =0.0006λ -8 =-0.0012λ -7 =0.0023λ -6 =-0.0041
[0072] lambda -5 =0.0074λ -4 =-0.0128λ...
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