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A method for detecting a watermark signal in digital image data. The detecting method includes the steps of: computing a log-polar Fourier transform of the image data to obtain a log-polar Fourier spectrum; projecting the log-polar Fourier spectrum down to a lower dimensional space to obtain an extr

A method for detecting a watermark signal in digital image data. The detecting method includes the steps of: computing a log-polar Fourier transform of the image data to obtain a log-polar Fourier spectrum; projecting the log-polar Fourier spectrum down to a lower dimensional space to obtain an extracted signal; comparing the extracted signal to a target watermark signal; and declaring the presence or absence of the target watermark signal in the image data based on the comparison. Also provided is a method for inserting a watermark signal in digital image data to obtain a watermarked image. The inserting method includes the steps of: computing a log-polar Fourier transform of the image data to obtain a log-polar Fourier spectrum; projecting the log-polar Fourier spectrum down to a lower dimensional space to obtain an extracted signal; modifying the extracted signal such that it is similar to a target watermark; performing a one-to-many mapping of the modified signal back to log-polar Fourier transform space to obtain a set of watermarked coefficients; and performing an inverse log-polar Fourier transform on the set of watermarked coefficients to obtain a watermarked image.

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[ What is claimed is:] [1.]1. A method for inserting a watermark signal in digital image data to obtain a watermarked image, the method comprising the steps of:computing a log-polar Fourier transform of the image data to obtain a log-polar Fourier spectrum;projecting the log-polar Fourier spectrum d

[ What is claimed is:] [1.]1. A method for inserting a watermark signal in digital image data to obtain a watermarked image, the method comprising the steps of:computing a log-polar Fourier transform of the image data to obtain a log-polar Fourier spectrum;projecting the log-polar Fourier spectrum down to a lower dimensional space to obtain an extracted signal;modifying the extracted signal such that it is similar to a target watermark;performing a one-to-many mapping of the modified signal back to log-polar Fourier transform space to obtain a set of watermarked coefficients; andperforming an inverse log-polar Fourier transform on the set of watermarked coefficients to obtain a watermarked image.