abstract, conclusion

diff --git a/IH/ciw1.tex b/IH/ciw1.tex
index 1a07a763432cd0f01fff1fce6fc5f1fbd539a2d9..6c9a61889979a092c192fc2226f79c45935bb889 100644 (file)
--- a/IH/ciw1.tex
+++ b/IH/ciw1.tex
@@ -1,6 +1,13 @@
 
 \section{The $\mathcal{CIW}_1$  Chaotic Iteration based Watermarking Process}
 \label{sec:ciw1}
 
 \section{The $\mathcal{CIW}_1$  Chaotic Iteration based Watermarking Process}
 \label{sec:ciw1}

+
+This section introduces the $\mathcal{CIW}_1$ watermarking process.
+It first recalls its fundations, addresses security issues,
+compares it with the Spread Spectrum Scheme, and ends with evaluating 
+its Lyapunov exponent.
+
+

 \subsection{Using chaotic iterations as information hiding schemes}
 \label{sec:data-hiding-algo-chaotic iterations}
 
 \subsection{Using chaotic iterations as information hiding schemes}
 \label{sec:data-hiding-algo-chaotic iterations}
 


@@ -120,7 +127,7 @@ These two definitions are illustrated on Figure~\ref{fig:MSCLSC},
 
 \subsubsection{Presentation of the $\mathcal{CIW}_1$ dhCI scheme}
 \label{trucMachin}
 
 \subsubsection{Presentation of the $\mathcal{CIW}_1$ dhCI scheme}
 \label{trucMachin}

-We have proposed in SECRYPT10~\cite{guyeux10ter} to 
+We have proposed in~\cite{guyeux10ter} to 

 study a particular instance of the dhCI class, which
 considers the negation function as iteration mode.
 The resulting chaotic iterations watermarking\footnote{Watermarking means here that only a binary information, like the presence of a copyright, can be extracted.} process has been denoted by
 study a particular instance of the dhCI class, which
 considers the negation function as iteration mode.
 The resulting chaotic iterations watermarking\footnote{Watermarking means here that only a binary information, like the presence of a copyright, can be extracted.} process has been denoted by

diff --git a/IH/conclusion.tex b/IH/conclusion.tex
index 5e874985bdd3f12dbca18f532da6f556be699173..e720b401114d950870e50d9c062b0cc665391c23 100644 (file)
--- a/IH/conclusion.tex
+++ b/IH/conclusion.tex
@@ -1 +1,23 @@
 \section{Conclusion}
 \section{Conclusion}

+This work has reviewed the evolution of chaos based data hiding schemes.
+The whole class of  algorithms has been formally presented and implemented.
+Two watermarking processes ($\mathcal{CIW}_1$ and $\mathcal{CIS}_2$) have been
+recalled; the former is a one-bit approach whereas the latter allows to 
+embed any message of reasonable size. 
+The two schemes have been 
+theoretically evaluated: both are stego-secure and verify the 
+topological expansiveness property.
+These two scheme has been practically evaluated: they have been proven to be
+robust against a large class of attacks.
+Finally, $\mathcal{DI}_3$ which  adapts the $\mathcal{CIS}_2$ scheme to 
+the steganography field. It capacity to resists to steganalysis has been 
+evaluated and has shown promissing results. 
+
+To summarize, this works has presented three 
+chaos based data hiding schemes and has study their security.
+In a future work we plan to combine these approaches to other data hiding 
+schemes to take benefit of their best behaviors: 
+for instance the pixel selection may be achieved by state of the art 
+distortion function and modifications may be delayed to chaos 
+based schemes.
+  
\ No newline at end of file

diff --git a/IH/notations.tex b/IH/notations.tex
index 6938df26ec11ca7ed19cdadd45ad9b57902a9b37..e04a9919381e6f3f076d8379bc32d370b220c5d7 100644 (file)
--- a/IH/notations.tex
+++ b/IH/notations.tex
@@ -7,7 +7,7 @@ $S^{n}$ stands for the $n^{th}$ term of a sequence $S$,
 $V_{i}$ is for the $i^{th}$ component of a vector $V$, and \r
 $\llbracket0;N\rrbracket$ is the integer interval $\{0,1,\hdots,N\}$.
 
 $V_{i}$ is for the $i^{th}$ component of a vector $V$, and \r
 $\llbracket0;N\rrbracket$ is the integer interval $\{0,1,\hdots,N\}$.
 

-\begin{color}{red} Compléter éventuellement les notations\end{color}.
+%\begin{color}{red} Compléter éventuellement les notations\end{color}.

 \r
 % Furthermore, the following definitions will be used in this document.\r
 % \r
 \r
 % Furthermore, the following definitions will be used in this document.\r
 % \r

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diff --git a/article.pdf b/article.pdf
index db2663a2b25256ac3e567201612bfb08ce2a397a..9434ffd58233d70a29612196209d6161a4afc83f 100644 (file)
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diff --git a/article.thm b/article.thm
index 3ba9dbf1a0d9e1e81db3d21cfe4f2e00daea7b1f..4c754346763ab12b0bedca4ea373a6353a3c0f70 100644 (file)
--- a/article.thm
+++ b/article.thm
@@ -1,48 +1,48 @@
-\contentsline {Def}{{Definition}{1}{}}{4}
-\contentsline {Def}{{Definition}{2}{}}{4}
-\contentsline {Def}{{Definition}{3}{}}{4}
-\contentsline {Def}{{Definition}{4}{Devaney's chaos}}{4}
-\contentsline {Def}{{Definition}{5}{}}{4}
-\contentsline {Def}{{Definition}{6}{}}{5}
-\contentsline {Th}{{Theorem}{1}{}}{5}
-\contentsline {Def}{{Definition}{7}{}}{6}
-\contentsline {Ex}{{Example}{1}{}}{6}
-\contentsline {Def}{{Definition}{8}{}}{6}
-\contentsline {Def}{{Definition}{9}{PLCM}}{8}
-\contentsline {Def}{{Definition}{10}{Security~\cite {Kalker2001}}}{9}
-\contentsline {Def}{{Definition}{11}{Robustness~\cite {Kalker2001}}}{9}
+\contentsline {Def}{{Definition}{1}{}}{3}
+\contentsline {Def}{{Definition}{2}{}}{3}
+\contentsline {Def}{{Definition}{3}{}}{3}
+\contentsline {Def}{{Definition}{4}{Devaney's chaos}}{3}
+\contentsline {Def}{{Definition}{5}{}}{3}
+\contentsline {Def}{{Definition}{6}{}}{4}
+\contentsline {Th}{{Theorem}{1}{}}{4}
+\contentsline {Def}{{Definition}{7}{}}{5}
+\contentsline {Ex}{{Example}{1}{}}{5}
+\contentsline {Def}{{Definition}{8}{}}{5}
+\contentsline {Def}{{Definition}{9}{PLCM}}{7}
+\contentsline {Def}{{Definition}{10}{Security~\cite {Kalker2001}}}{8}
+\contentsline {Def}{{Definition}{11}{Robustness~\cite {Kalker2001}}}{8}

 \contentsline {Def}{{Definition}{12}{}}{9}
 \contentsline {Def}{{Definition}{12}{}}{9}

-\contentsline {Def}{{Definition}{13}{}}{10}
-\contentsline {Def}{{Definition}{14}{}}{10}
-\contentsline {Def}{{Definition}{15}{}}{10}
-\contentsline {Def}{{Definition}{16}{Stego-Security~\cite {Cayre2008}}}{10}
-\contentsline {Prop}{{Proposition}{1}{}}{11}
-\contentsline {Def}{{Definition}{17}{}}{11}
-\contentsline {Prop}{{Proposition}{2}{}}{11}
+\contentsline {Def}{{Definition}{13}{}}{9}
+\contentsline {Def}{{Definition}{14}{}}{9}
+\contentsline {Def}{{Definition}{15}{}}{9}
+\contentsline {Def}{{Definition}{16}{Stego-Security~\cite {Cayre2008}}}{9}
+\contentsline {Prop}{{Proposition}{1}{}}{10}
+\contentsline {Def}{{Definition}{17}{}}{10}
+\contentsline {Prop}{{Proposition}{2}{}}{10}

 \contentsline {Def}{{Definition}{18}{}}{12}
 \contentsline {Def}{{Definition}{18}{}}{12}

-\contentsline {Def}{{Definition}{19}{}}{13}
-\contentsline {Def}{{Definition}{20}{}}{13}
+\contentsline {Def}{{Definition}{19}{}}{12}
+\contentsline {Def}{{Definition}{20}{}}{12}

 \contentsline {Prop}{{Proposition}{3}{}}{13}
 \contentsline {Pre}{{Proof}{1}{}}{13}
 \contentsline {Prop}{{Proposition}{3}{}}{13}
 \contentsline {Pre}{{Proof}{1}{}}{13}

-\contentsline {Prop}{{Proposition}{4}{}}{14}
-\contentsline {Prop}{{Proposition}{5}{}}{14}
+\contentsline {Prop}{{Proposition}{4}{}}{13}
+\contentsline {Prop}{{Proposition}{5}{}}{13}

 \contentsline {Th}{{Theorem}{2}{}}{14}
 \contentsline {Th}{{Theorem}{2}{}}{14}

-\contentsline {Prop}{{Proposition}{6}{}}{15}
-\contentsline {Def}{{Definition}{21}{}}{19}
-\contentsline {Def}{{Definition}{22}{}}{19}
-\contentsline {Def}{{Definition}{23}{}}{20}
-\contentsline {Def}{{Definition}{24}{}}{20}
-\contentsline {Def}{{Definition}{25}{}}{21}
-\contentsline {Prop}{{Proposition}{7}{}}{21}
-\contentsline {Th}{{Theorem}{3}{}}{21}
-\contentsline {Prop}{{Proposition}{8}{}}{22}
-\contentsline {Th}{{Theorem}{4}{}}{22}
-\contentsline {Th}{{Theorem}{5}{}}{22}
-\contentsline {Th}{{Theorem}{6}{}}{23}
-\contentsline {Rem}{{Rem}{1}{}}{23}
-\contentsline {Def}{{Definition}{26}{}}{24}
-\contentsline {Def}{{Definition}{27}{}}{24}
-\contentsline {Rem}{{Rem}{2}{}}{24}
-\contentsline {Def}{{Definition}{28}{$\mathcal {DI}_3$ Data hiding scheme}}{24}
-\contentsline {Prop}{{Proposition}{9}{}}{25}
-\contentsline {Rem}{{Rem}{3}{}}{26}
+\contentsline {Prop}{{Proposition}{6}{}}{14}
+\contentsline {Def}{{Definition}{21}{}}{18}
+\contentsline {Def}{{Definition}{22}{}}{18}
+\contentsline {Def}{{Definition}{23}{}}{19}
+\contentsline {Def}{{Definition}{24}{}}{19}
+\contentsline {Def}{{Definition}{25}{}}{20}
+\contentsline {Prop}{{Proposition}{7}{}}{20}
+\contentsline {Th}{{Theorem}{3}{}}{20}
+\contentsline {Prop}{{Proposition}{8}{}}{21}
+\contentsline {Th}{{Theorem}{4}{}}{21}
+\contentsline {Th}{{Theorem}{5}{}}{21}
+\contentsline {Th}{{Theorem}{6}{}}{22}
+\contentsline {Rem}{{Rem}{1}{}}{22}
+\contentsline {Def}{{Definition}{26}{}}{23}
+\contentsline {Def}{{Definition}{27}{}}{23}
+\contentsline {Rem}{{Rem}{2}{}}{23}
+\contentsline {Def}{{Definition}{28}{$\mathcal {DI}_3$ Data hiding scheme}}{23}
+\contentsline {Prop}{{Proposition}{9}{}}{24}
+\contentsline {Rem}{{Rem}{3}{}}{25}