From 7aeb1ab6cc41dd51a6dbe4c844c8983809205186 Mon Sep 17 00:00:00 2001 From: couchot Date: Sat, 14 Feb 2015 16:39:07 +0100 Subject: [PATCH] ajout de emb et de dec --- biblioand.bib | 6 +- complexity.tex | 4 +- dec.eps | 662 +++++++++++++++++++++++++++++++++++ emb.eps | 898 ++++++++++++++++++++++++++++++++++++++++++++++++ experiments.tex | 6 +- intro.tex | 2 +- main.tex | 3 +- schema2.dot | 2 +- stc.tex | 12 +- 9 files changed, 1578 insertions(+), 17 deletions(-) create mode 100644 dec.eps create mode 100644 emb.eps diff --git a/biblioand.bib b/biblioand.bib index b1d4b0b..d37cf9d 100644 --- a/biblioand.bib +++ b/biblioand.bib @@ -591,9 +591,8 @@ language={English} @inproceedings{conf/wifs/HolubF12, added-at = {2013-01-23T00:00:00.000+0100}, author = {Holub, Vojtech and Fridrich, Jessica J.}, - biburl = {http://www.bibsonomy.org/bibtex/2a685b4b8b521ac99734fb52c064ca994/dblp}, - booktitle = {WIFS}, - crossref = {conf/wifs/2012}, + booktitle = {2012 {IEEE} International Workshop on Information Forensics and Security, Tenerife, Spain}, + month = dec, ee = {http://dx.doi.org/10.1109/WIFS.2012.6412655}, interhash = {cbef658a6868216eef585dd759ae0668}, intrahash = {a685b4b8b521ac99734fb52c064ca994}, @@ -610,6 +609,7 @@ language={English} + @article{FillerJF11, author = {Tom{\'a}s Filler and Jan Judas and diff --git a/complexity.tex b/complexity.tex index 7dce9c6..db1609f 100644 --- a/complexity.tex +++ b/complexity.tex @@ -23,8 +23,8 @@ which is at least in $\theta(343)$, and an overall distance between these metrics, which is in $\theta(686)$. Computing the distance is thus in $\theta(2\times 343^2)$ and this modification is thus in $\theta(2\times 343^2 \times n^2)$. -Ranking these results may be achieved with an insertion sort, which is in -$2 \times n^2 \ln(n)$. +Ranking these results may be achieved with a quick sort, which is in +$\theta(2 \times n^2 \ln(n))$ for data of size $n^2$. The overall complexity of the pixel selection is finally $\theta(n^2 +2 \times 343^2 + 2\times 343^2 \times n^2 + 2 \times n^2 \ln(n))$, \textit{i.e}, $\theta(2 \times n^2(343^2 + \ln(n)))$. diff --git a/dec.eps b/dec.eps new file mode 100644 index 0000000..29d77e4 --- /dev/null +++ b/dec.eps @@ -0,0 +1,662 @@ +%!PS-Adobe-3.0 +%%Creator: graphviz version 2.36.0 (20140111.2315) +%%Title: start_up +%%Pages: (atend) +%%BoundingBox: (atend) +%%EndComments +save +%%BeginProlog +/DotDict 200 dict def +DotDict begin + +/setupLatin1 { +mark +/EncodingVector 256 array def + EncodingVector 0 + +ISOLatin1Encoding 0 255 getinterval putinterval +EncodingVector 45 /hyphen put + +% Set up ISO Latin 1 character encoding +/starnetISO { + dup dup findfont dup length dict begin + { 1 index /FID ne { def }{ pop pop } ifelse + } forall + /Encoding EncodingVector def + currentdict end definefont +} def +/Times-Roman starnetISO def +/Times-Italic starnetISO def +/Times-Bold starnetISO def +/Times-BoldItalic 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However by combining Adaptive and STC strategies our approach obtains similar results than the ones of these schemes. -Compared to EAILSBMR, we obtain better results when the strategy is +Compared to EAILSBMR, we obtain similar +results when the strategy is Adaptive. -However due to its -huge number of integration features, it is not lightweight. +However due to its huge number of integration features, it is not lightweight. All these numerical experiments confirm the objective presented in the motivations: diff --git a/intro.tex b/intro.tex index 5fa4b70..db41326 100644 --- a/intro.tex +++ b/intro.tex @@ -124,7 +124,7 @@ The payload is further said to long message in the cover signal. Practically speaking, our approach is efficient enough for payloads close to 0.06 bit per pixel which allows to embed -messages of length larger than 16000 bits in an +messages of length larger than 15728 bits in an image of size $512\times 512$ pixels. % Message extraction is achieved by computing the same diff --git a/main.tex b/main.tex index e82040e..2996baf 100755 --- a/main.tex +++ b/main.tex @@ -164,7 +164,8 @@ replacement, in terms of security, will be discussed. Furthermore, we plan to investigate information hiding on other models, such as high frequency for JPEG encoding. -\bibliographystyle{spbasic} +%\bibliographystyle{spbasic} +\bibliographystyle{spmpsci} \bibliography{abbrev,biblioand} diff --git a/schema2.dot b/schema2.dot index c5c7819..b2bc96e 100644 --- a/schema2.dot +++ b/schema2.dot @@ -18,7 +18,7 @@ digraph start_up { PIb -> ED - + PIb -> STC start -> key diff --git a/stc.tex b/stc.tex index 0d1541a..8da1573 100644 --- a/stc.tex +++ b/stc.tex @@ -23,9 +23,9 @@ vector and a 7 bits column vector, and where $\rho_X(i,x,y)$ is equal to 1 for any $i$, $x$, $y$ (\textit{i.e.}, $\rho_X(i,x,y) = 0$ if $x = y$ and $1$ otherwise). -Let $H$ be the binary Hamming matrix +Let $\dot{H}$ be the binary Hamming matrix $$ -H = \left( +\dot{H} = \left( \begin{array}{lllllll} 0 & 0 & 0 & 1 & 1 & 1 & 1 \\ 0 & 1 & 1 & 0 & 0 & 1 & 1 \\ @@ -33,11 +33,11 @@ H = \left( \end{array} \right). $$ -The objective is to modify $x$ to get $y$ s.t. $m = Hy$. +The objective is to modify $x$ to get $y$ s.t. $m = \dot{H}y$. In this algebra, the sum and the product respectively correspond to the exclusive \emph{or} and to the \emph{and} Boolean operators. -If $Hx$ is already equal to $m$, nothing has to be changed and $x$ can be sent. -Otherwise we consider the difference $\delta = d(m,Hx)$, which is expressed +If $\dot{H}x$ is already equal to $m$, nothing has to be changed and $x$ can be sent. +Otherwise we consider the difference $\delta = d(m,\dot{H}x)$, which is expressed as a vector : $$ \delta = \left( \begin{array}{l} @@ -53,7 +53,7 @@ We denote by $\overline{x}^j$ the vector obtained by switching the $j-$th component of $x$, that is, $\overline{x}^j = (x_1 , \ldots, \overline{x_j},\ldots, x_n )$. It is not hard to see that if $y$ is $\overline{x}^j$, then -$m = Hy$. +$m = \dot{H}y$. It is then possible to embed 3 bits in 7 LSBs of pixels by modifying at most 1 bit. In the general case, communicating a message of $p$ bits in a cover of -- 2.39.5