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Steganography and Digital Watermarking

Steganography and Digital Watermarking. Prisoners Problem Michael Scofield and Lincoln Burrows are in jail They want to develop an escape plan The only way to communicate is through Captain Bellick They must communicate in a manner that does not raise suspicion. THE LEADER.

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Steganography and Digital Watermarking

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  1. Steganography and Digital Watermarking

  2. Prisoners Problem • Michael Scofield and Lincoln Burrows are in jail • They want to develop an escape plan • The only way to communicate is through Captain Bellick • They must communicate in a manner that does not raise suspicion

  3. THE LEADER • Patient and steady with all he must bear, • Ready to meet every challenge with care, • Easy in manner, yet solid as steel, • Strong in his faith, refreshingly real. • Isn't afraid to propose what is bold, • Doesn't conform to the usual mould, • Eyes that have foresight, for hindsight won't do, • Never backs down when he sees what is true, • Tells it all straight, and means it all too. • Going forward and knowing he's right, • Even when doubted for why he would fight, • Over and over he makes his case clear, • Reaching to touch the ones who won't hear. • Growing in strength he won't be unnerved, • Ever assuring he'll stand by his word. • Wanting the world to join his firm stand, • Bracing for war, but praying for peace, • Using his power so evil will cease, • So much a leader and worthy of trust, • Here stands a man who will do what he must.

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  5. PatchworkBender, Gruhl, Morimoto and Lu • Choose any 2 random points A and B • ai ,bi be the luminance of A and B • S = ai - bi • Summing S for large n • Sn = ∑i=1n (ai - bi ) • Sn is approx 0 because for large n • The pixels are independent and identically distributed • The no of times ai > bi and bi > ai should be roughly same for large n

  6. Patchwork –continuedBender, Gruhl, Morimoto and Lu • communicating parties share a key k • Choose A, B pseudo randomly based on k • Raise the brightness in ai by 1 • Lower the brightness in bi by 1 • ai’= ai + 1 • bi’ = bi - 1 • Sn’ = ∑i=1n (ai + 1– (bi – 1) ) • Sn’ = ∑i=1n (ai - bi ) + ∑i=1n 2 • Sn’ is approximately2n • because ∑i=1n (ai - bi ) approx 0 for large n

  7. Conditions for watermarking Keep in mind the following considerations before embedding a digital watermark in your image. Color variation The image must contain some degree of variation or randomness in color to embed the watermark effectively and imperceptibly. The image cannot consist mostly or entirely of a single flat color. Pixel dimensions The Digimarc technology requires a minimum number of pixels to work. Digimarc recommends the following minimum pixel dimensions for the image to be watermarked: • 100 pixels by 100 pixels if you don't expect the image to be modified or compressed prior to its actual use. • 256 pixels by 256 pixels if you expect the image to be cropped, rotated, compressed, or otherwise modified after watermarking. • 750 pixels by 750 pixels if you expect the image to appear ultimately in printed form at 300 dpi or greater. There is no upper limit on pixel dimensions for watermarking.

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