@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},
+
@article{FillerJF11,
author = {Tom{\'a}s Filler and
Jan Judas and
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},
$\theta(2 \times n^2(343^2 + \ln(n)))$.
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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:
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
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}
PIb -> ED
-
+ PIb -> STC
start -> key
$\rho_X(i,x,y)$ 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
$$
-H = \left(
+\dot{H} = \left(
\begin{array}{lllllll}
0 & 0 & 0 & 1 & 1 & 1 & 1 \\
0 & 1 & 1 & 0 & 0 & 1 & 1 \\
\end{array}
\right).
$$
-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}
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