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"While 1960s suburban American remains my primary source of inspiration," Mr. Meyer wrote on his Web site, "rethinking the linkage of image, shadow and subsequent images, sets off a conceptual clock of instantly recognizable pieces to a more complex puzzle.
The framework consists of two steps: image shadow removal and tracking by association.
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Theorem 1 proves that our scheme satisfies the property of (k,n) threshold, such that less than k image shadows get no information on secret image; k or more image-shadows are able to recover secret image.
Our proposed scheme is able to detect the cheating behavior from up to k − 1 cheaters, and the size of image-shadow is almost same as the image-shadow in the original secret image sharing scheme.
Notice that in Thien-Lin's scheme, the size on image-shadow is (frac {1}{k}) times of the image.
The size of image-shadow in Scheme 2 is (frac {1}{k}) times of the image I.
In addition, the size of image-shadow in our scheme is almost same as the shadow size in the scheme [3].
In our scheme, the share vi,j = (mi,j,di,j) are generated from each 2k−2-pixel block; therefore, the size on image-shadow in our scheme is (frac {2}{2k-2}=frac {1}{k-1}) times of image I.
A (t,n) visual cryptography scheme (VCS) encodes a secret image into n shadow images (shadows) distributed among n participants.
It is obvious that Scheme 2 satisfies k-threshold property that k or more image-shadows are capable of recovering the entire image; fewer than k image-shadows get noting on the image.
In a (k,n) threshold secret image sharing scheme, a secret image is encrypted into n image-shadows that satisfy the following: (1) any less than k image-shadows get no information on the image and (2) any k or more image-shadows can reconstruct the entire image.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com