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image mapping for zernike moments

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mariem farhat
mariem farhat 2013년 9월 19일
To compute the Zernike moments of a given image, the center of the image is taken as the origin and pixel coordinates are mapped to the range of unit circle, i.e. x^2+y^2≤1.
In a paper I have found that they use these formula:
x= (2i+1-N)/D,y=(2j+1-N)/D D={N for inscribed circular disc contained in the square image N√2 for outer circular disc containing the whole square image)┤
But I don't understand this formula

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