2011
DOI: 10.1109/tifs.2011.2163627
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Robust Image Watermarking Based on Multiscale Gradient Direction Quantization

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Cited by 119 publications
(57 citation statements)
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“…On the left-hand side, we get, by definition, . On the right-hand side, we get , where factor comes from the fact that the value of the angular coordinate is instead of , i.e., (48) Thus, given Lemma 1, we can write (49) thus proving (43).…”
Section: Fourier Transform Of the Steering Basesmentioning
confidence: 95%
See 1 more Smart Citation
“…On the left-hand side, we get, by definition, . On the right-hand side, we get , where factor comes from the fact that the value of the angular coordinate is instead of , i.e., (48) Thus, given Lemma 1, we can write (49) thus proving (43).…”
Section: Fourier Transform Of the Steering Basesmentioning
confidence: 95%
“…Estimating the gradient of a given image is an important computational step in many image processing and pattern recognition tasks, such as contour detection and image segmentation [4], [33]- [35], active contours [36]- [38], denoising [39], image classification [40], image alignment [41], watermarking [42], [43], and biomedical imaging [44], [45], just to cite a few. The main difficulty when computing the gradient of an image is that, as well known, it is an ill-posed problem, as infinitesimal perturbations of the input image may produce large variations of its gradient.…”
Section: Applicationmentioning
confidence: 99%
“…The outputs are down-sampled by 2 after performing the low-pass and high-pass filtering. 2D DWT is done by executing 1D DWT on each row, which is known as horizontal filtering and then on each column, which is known as vertical filtering [11].…”
Section: A Discrete Wavelet Transform (Dwt)mentioning
confidence: 99%
“…In a robust watermarking, a watermark usually carries information regarding the owner in order to validate who the image belongs to (e.g., which person, which institute or organization, etc.). Thus, these watermarking schemes are being used for content authentication purposes in various digital image applications (e.g., copyright protection) [68,73,79,[82][83][84][85][86]. Semi-fragile and fragile watermarks are being used to carry much information about itself, its owner's metadata, its distribution, etc., and are thus used for annotation (e.g., hiding ETR or EPR, etc.)…”
Section: Choice Of Design and Evaluation Parametersmentioning
confidence: 99%