New PDF release: Fair Evaluation Methods for Image Watermarking Systems

By Kutter Petitcolas

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Then T, ot," =

The bottom element represents that the program point it decorates is never reached during program execution. W e firstfix the notation for concrete substitutions that will be used in the remainder of the book. , X~, a concrete term environment is a term K = I]~1, .... , X,~ ~-- En}. The subterm Ei is also represented as Eft. ,Xi#). Therefore, AbstrUnify is defined as a function that is polymorphic in its third argument: TGUnify(T/n', i, j): returns the type-graph environment 7-o,f resulting from abstract unification of the i th and jth component of T/n.

_), where T,,t,. ,,~,),and the constraint sets are reduced to the information pertaimng to the variables X q , 9 , 9 X~aL. {{W:lsl, Wbls~} E SVair~. )}, NUniT",,tr = {W= E NUnir~,, I Wo E { x , , , . . , x . } } , PShrcrr,t. }}. SPain. ~ = The safety requirement of the first step of procedure entry is stated in the following theorem. 12 ( S a f e t y of TGRestrict [38]) Let ~ , t be an type-graph environment and /C,,, E TGEnvConc(Ti,,'). Let ari(l/(Label(Root(T,,))) = n, and i~o, : 0 , . . , , ~ , } --.

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Fair Evaluation Methods for Image Watermarking Systems by Kutter Petitcolas


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