abstract, conclusion

[HindawiJournalOfChaos.git] / IH / iihmsp13 / main.tex

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% \title{New Practicable Scheme for Watermarking by Chaotic\r
% Iterations:\\Robustness and Security Study\titlenote{Authors are cited in\r
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\title{Quality Studies of an Invisible \r
Chaos-Based Watermarking Scheme with Message Extraction}\r
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\author{\IEEEauthorblockN{Jacques M. Bahi, Jean-Fran\c cois Couchot, Nicolas Friot, and  Christophe Guyeux*\\}\r
\IEEEauthorblockA{FEMTO-ST Institute, UMR 6174 CNRS\\\r
  Computer Science Laboratory DISC\\\r
  University of Franche-Comt\'{e}\\\r
  Belfort, France\\\r
  \{jacques.bahi,jean-francois.couchot, nicolas.friot,\r
  christophe.guyeux\}@femto-st.fr}\r
\and\r
\IEEEauthorblockN{Kamel Mazouzi*}\r
\IEEEauthorblockA{ M\'esocentre de calcul\\\r
 University of Franche-Comt\'e\\\r
 Besan\c con, France\\\r
kamel.mazouzi@univ-fcomte.fr}\r
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\begin{abstract}\r
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This paper takes place in the field of invisible chaos-based\r
watermarking schemes. It addresses the quality study of  \r
a already pyblished algorithm by focusing on three class of properties.\r
Its robustness is experimentally shown against classical attacks on \r
a large set of image instances and image transformations.\r
It correctness and completness are formally proven.\r
Due to this main advantages, this process is fitted for practical use.\r
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% In this paper, recent contributions in the field of topology and chaos-based\r
% information hiding security is summed up and deepened. Additionally, two\r
% variants of an information hiding scheme based on chaotic iterations are recalled and their\r
% security proofs are recalled completed. Among other things, new evaluations of\r
% qualitative and quantitative properties of security concerning the improved\r
% version of our algorithm are proposed. The security notions used here encompass\r
% the probabilistic stego-security against watermark-only attacks, and the\r
% topological topological-security to face known message, known original, and\r
% constant-message attacks. Finally, a complete and original evaluation of the\r
% robustness of the first variant in spatial domain is given, encompassing several\r
% kinds of attacks against a set of hundreds of watermarked medias.\r
\end{abstract}\r
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Invisible Watermarking;  Chaos; Robustness; Correct and \r
Complete message extraction.\r
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% \r
% \subsubsection{Inline (In-text) Equations}\r
% A formula that appears in the running text is called an\r
% inline or in-text formula.  It is produced by the\r
% \textbf{math} environment, which can be\r
% invoked with the usual \texttt{{\char'134}begin. . .{\char'134}end}\r
% construction or with the short form \texttt{\$. . .\$}. You\r
% can use any of the symbols and structures,\r
% from $\alpha$ to $\omega$, available in\r
% \LaTeX\cite{Lamport:LaTeX}; this section will simply show a\r
% few examples of in-text equations in context. Notice how\r
% this equation: \begin{math}\lim_{n\rightarrow \infty}x=0\end{math},\r
% set here in in-line math style, looks slightly different when\r
% set in display style.  (See next section).\r
% \r
% \subsubsection{Display Equations}\r
% A numbered display equation -- one set off by vertical space\r
% from the text and centered horizontally -- is produced\r
% by the \textbf{equation} environment. An unnumbered display\r
% equation is produced by the \textbf{displaymath} environment.\r
% \r
% Again, in either environment, you can use any of the symbols\r
% and structures available in \LaTeX; this section will just\r
% give a couple of examples of display equations in context.\r
% First, consider the equation, shown as an inline equation above:\r
% \begin{equation}\lim_{n\rightarrow \infty}x=0\end{equation}\r
% Notice how it is formatted somewhat differently in\r
% the \textbf{displaymath}\r
% environment.  Now, we'll enter an unnumbered equation:\r
% \begin{displaymath}\sum_{i=0}^{\infty} x + 1\end{displaymath}\r
% and follow it with another numbered equation:\r
% \begin{equation}\sum_{i=0}^{\infty}x_i=\int_{0}^{\pi+2} f\end{equation}\r
% just to demonstrate \LaTeX's able handling of numbering.\r
% \r
% \subsection{Citations}\r
% Citations to articles \cite{bowman:reasoning, clark:pct, braams:babel, herlihy:methodology},\r
% conference\r
% proceedings \cite{clark:pct} or books \cite{salas:calculus, Lamport:LaTeX} listed\r
% in the Bibliography section of your\r
% article will occur throughout the text of your article.\r
% You should use BibTeX to automatically produce this bibliography;\r
% you simply need to insert one of several citation commands with\r
% a key of the item cited in the proper location in\r
% the \texttt{.tex} file \cite{Lamport:LaTeX}.\r
% The key is a short reference you invent to uniquely\r
% identify each work; in this sample document, the key is\r
% the first author's surname and a\r
% word from the title.  This identifying key is included\r
% with each item in the \texttt{.bib} file for your article.\r
% \r
% The details of the construction of the \texttt{.bib} file\r
% are beyond the scope of this sample document, but more\r
% information can be found in the \textit{Author's Guide},\r
% and exhaustive details in the \textit{\LaTeX\ User's\r
% Guide}\cite{Lamport:LaTeX}.\r
% \r
% This article shows only the plainest form\r
% of the citation command, using \texttt{{\char'134}cite}.\r
% This is what is stipulated in the SIGS style specifications.\r
% No other citation format is endorsed.\r
% \r
% \subsection{Tables}\r
% Because tables cannot be split across pages, the best\r
% placement for them is typically the top of the page\r
% nearest their initial cite.  To\r
% ensure this proper ``floating'' placement of tables, use the\r
% environment \textbf{table} to enclose the table's contents and\r
% the table caption.  The contents of the table itself must go\r
% in the \textbf{tabular} environment, to\r
% be aligned properly in rows and columns, with the desired\r
% horizontal and vertical rules.  Again, detailed instructions\r
% on \textbf{tabular} material\r
% is found in the \textit{\LaTeX\ User's Guide}.\r
% \r
% Immediately following this sentence is the point at which\r
% Table 1 is included in the input file; compare the\r
% placement of the table here with the table in the printed\r
% dvi output of this document.\r
% \r
% \begin{table}\r
% \centering\r
% \caption{Frequency of Special Characters}\r
% \begin{tabular}{|c|c|l|} \hline\r
% Non-English or Math&Frequency&Comments\\ \hline\r
% \O & 1 in 1,000& For Swedish names\\ \hline\r
% $\pi$ & 1 in 5& Common in math\\ \hline\r
% \$ & 4 in 5 & Used in business\\ \hline\r
% $\Psi^2_1$ & 1 in 40,000& Unexplained usage\\\r
% \hline\end{tabular}\r
% \end{table}\r
% \r
% To set a wider table, which takes up the whole width of\r
% the page's live area, use the environment\r
% \textbf{table*} to enclose the table's contents and\r
% the table caption.  As with a single-column table, this wide\r
% table will ``float" to a location deemed more desirable.\r
% Immediately following this sentence is the point at which\r
% Table 2 is included in the input file; again, it is\r
% instructive to compare the placement of the\r
% table here with the table in the printed dvi\r
% output of this document.\r
% \r
% \r
% \begin{table*}\r
% \centering\r
% \caption{Some Typical Commands}\r
% \begin{tabular}{|c|c|l|} \hline\r
% Command&A Number&Comments\\ \hline\r
% \texttt{{\char'134}alignauthor} & 100& Author alignment\\ \hline\r
% \texttt{{\char'134}numberofauthors}& 200& Author enumeration\\ \hline\r
% \texttt{{\char'134}table}& 300 & For tables\\ \hline\r
% \texttt{{\char'134}table*}& 400& For wider tables\\ \hline\end{tabular}\r
% \end{table*}\r
% % end the environment with {table*}, NOTE not {table}!\r
% \r
% \subsection{Figures}\r
% Like tables, figures cannot be split across pages; the\r
% best placement for them\r
% is typically the top or the bottom of the page nearest\r
% their initial cite.  To ensure this proper ``floating'' placement\r
% of figures, use the environment\r
% \textbf{figure} to enclose the figure and its caption.\r
% \r
% This sample document contains examples of \textbf{.eps}\r
% and \textbf{.ps} files to be displayable with \LaTeX.  More\r
% details on each of these is found in the \textit{Author's Guide}.\r
% \r
% \begin{figure}\r
% \centering\r
% \epsfig{file=img/lena512.eps}\r
% \caption{A sample black and white graphic (.eps format).}\r
% \end{figure}\r
% \r
% \begin{figure}\r
% \centering\r
% \epsfig{file=img/lena512.eps, height=1in, width=1in}\r
% \caption{A sample black and white graphic (.eps format)\r
% that has been resized with the \texttt{epsfig} command.}\r
% \end{figure}\r
% \r
% \r
% As was the case with tables, you may want a figure\r
% that spans two columns.  To do this, and still to\r
% ensure proper ``floating'' placement of tables, use the environment\r
% \textbf{figure*} to enclose the figure and its caption.\r
% \r
% Note that either {\textbf{.ps}} or {\textbf{.eps}} formats are\r
% used; use\r
% the \texttt{{\char'134}epsfig} or \texttt{{\char'134}psfig}\r
% commands as appropriate for the different file types.\r
% \r
% \subsection{Theorem-like Constructs}\r
% Other common constructs that may occur in your article are\r
% the forms for logical constructs like theorems, axioms,\r
% corollaries and proofs.  There are\r
% two forms, one produced by the\r
% command \texttt{{\char'134}newtheorem} and the\r
% other by the command \texttt{{\char'134}newdef}; perhaps\r
% the clearest and easiest way to distinguish them is\r
% to compare the two in the output of this sample document:\r
% \r
% This uses the \textbf{theorem} environment, created by\r
% the\linebreak\texttt{{\char'134}newtheorem} command:\r
% \newtheorem{theorem}{Theorem}\r
% \begin{theorem}\r
% Let $f$ be continuous on $[a,b]$.  If $G$ is\r
% an antiderivative for $f$ on $[a,b]$, then\r
% \begin{displaymath}\int^b_af(t)dt = G(b) - G(a).\end{displaymath}\r
% \end{theorem}\r
% \r
% The other uses the \textbf{definition} environment, created\r
% by the \texttt{{\char'134}newdef} command:\r
% \newdef{definition}{Definition}\r
% \begin{definition}\r
% If $z$ is irrational, then by $e^z$ we mean the\r
% unique number which has\r
% logarithm $z$: \begin{displaymath}{\log e^z = z}\end{displaymath}\r
% \end{definition}\r
% \r
% \r
% \begin{figure}\r
% \centering\r
% \psfig{file=img/lena512.eps, height=1in, width=1in,}\r
% \caption{A sample black and white graphic (.ps format) that has\r
% been resized with the \texttt{psfig} command.}\r
% \end{figure}\r
% \r
% Two lists of constructs that use one of these\r
% forms is given in the\r
% \textit{Author's  Guidelines}.\r
% \r
% \begin{figure*}\r
% \centering\r
% \epsfig{file=img/lena512.eps}\r
% \caption{A sample black and white graphic (.eps format)\r
% that needs to span two columns of text.}\r
% \end{figure*}\r
% and don't forget to end the environment with\r
% {figure*}, not {figure}!\r
%  \r
% There is one other similar construct environment, which is\r
% already set up\r
% for you; i.e. you must \textit{not} use\r
% a \texttt{{\char'134}newdef} command to\r
% create it: the \textbf{proof} environment.  Here\r
% is a example of its use:\r
% \begin{proof}\r
% Suppose on the contrary there exists a real number $L$ such that\r
% \begin{displaymath}\r
% \lim_{x\rightarrow\infty} \frac{f(x)}{g(x)} = L.\r
% \end{displaymath}\r
% Then\r
% \begin{displaymath}\r
% l=\lim_{x\rightarrow c} f(x)\r
% = \lim_{x\rightarrow c}\r
% \left[ g{x} \cdot \frac{f(x)}{g(x)} \right ]\r
% = \lim_{x\rightarrow c} g(x) \cdot \lim_{x\rightarrow c}\r
% \frac{f(x)}{g(x)} = 0\cdot L = 0,\r
% \end{displaymath}\r
% which contradicts our assumption that $l\neq 0$.\r
% \end{proof}\r
% \r
% Complete rules about using these environments and using the\r
% two different creation commands are in the\r
% \textit{Author's Guide}; please consult it for more\r
% detailed instructions.  If you need to use another construct,\r
% not listed therein, which you want to have the same\r
% formatting as the Theorem\r
% or the Definition\cite{salas:calculus} shown above,\r
% use the \texttt{{\char'134}newtheorem} or the\r
% \texttt{{\char'134}newdef} command,\r
% respectively, to create it.\r
% \r
% \subsection*{A {\secit Caveat} for the \TeX\ Expert}\r
% Because you have just been given permission to\r
% use the \texttt{{\char'134}newdef} command to create a\r
% new form, you might think you can\r
% use \TeX's \texttt{{\char'134}def} to create a\r
% new command: \textit{Please refrain from doing this!}\r
% Remember that your \LaTeX\ source code is primarily intended\r
% to create camera-ready copy, but may be converted\r
% to other forms -- e.g. HTML. If you inadvertently omit\r
% some or all of the \texttt{{\char'134}def}s recompilation will\r
% be, to say the least, problematic.\r
% \r
% \section{Conclusions}\r
% This paragraph will end the body of this sample document.\r
% Remember that you might still have Acknowledgments or\r
% Appendices; brief samples of these\r
% follow.  There is still the Bibliography to deal with; and\r
% we will make a disclaimer about that here: with the exception\r
% of the reference to the \LaTeX\ book, the citations in\r
% this paper are to articles which have nothing to\r
% do with the present subject and are used as\r
% examples only.\r
% %\end{document}  % This is where a 'short' article might terminate\r
% \r
% %ACKNOWLEDGMENTS are optional\r
% \section{Acknowledgments}\r
% This section is optional; it is a location for you\r
% to acknowledge grants, funding, editing assistance and\r
% what have you.  In the present case, for example, the\r
% authors would like to thank Gerald Murray of ACM for\r
% his help in codifying this \textit{Author's Guide}\r
% and the \textbf{.cls} and \textbf{.tex} files that it describes.\r
% \r
% %\r
% % The following two commands are all you need in the\r
% % initial runs of your .tex file to\r
% % produce the bibliography for the citations in your paper.\r
% \bibliographystyle{abbrv}\r
% \bibliography{sigproc}  % sigproc.bib is the name of the Bibliography in this case\r
% % You must have a proper ".bib" file\r
% %  and remember to run:\r
% % latex bibtex latex latex\r
% % to resolve all references\r
% %\r
% % ACM needs 'a single self-contained file'!\r
% %\r
\r
%\section{Conclusion and future work}\label{sec:conclusion}\r
\section{Conclusion}\label{sec:conclusion}\r
\input{conclusion}\r
\r
\r
%APPENDICES are optional\r
%\balancecolumns\r
% \appendix\r
% %Appendix A\r
% \section{Headings in Appendices}\r
% The rules about hierarchical headings discussed above for\r
% the body of the article are different in the appendices.\r
% In the \textbf{appendix} environment, the command\r
% \textbf{section} is used to\r
% indicate the start of each Appendix, with alphabetic order\r
% designation (i.e. the first is A, the second B, etc.) and\r
% a title (if you include one).  So, if you need\r
% hierarchical structure\r
% \textit{within} an Appendix, start with \textbf{subsection} as the\r
% highest level. Here is an outline of the body of this\r
% document in Appendix-appropriate form:\r
% \subsection{Introduction}\r
% \subsection{The Body of the Paper}\r
% \subsubsection{Type Changes and  Special Characters}\r
% \subsubsection{Math Equations}\r
% \paragraph{Inline (In-text) Equations}\r
% \paragraph{Display Equations}\r
% \subsubsection{Citations}\r
% \subsubsection{Tables}\r
% \subsubsection{Figures}\r
% \subsubsection{Theorem-like Constructs}\r
% \subsubsection*{A Caveat for the \TeX\ Expert}\r
% \subsection{Conclusions}\r
% \subsection{Acknowledgments}\r
% \subsection{Additional Authors}\r
% This section is inserted by \LaTeX; you do not insert it.\r
% You just add the names and information in the\r
% \texttt{{\char'134}additionalauthors} command at the start\r
% of the document.\r
\r
\r
%\subsection{References}\r
% Generated by bibtex from your ~.bib file.  Run latex,\r
% then bibtex, then latex twice (to resolve references)\r
% to create the ~.bbl file.  Insert that ~.bbl file into\r
% the .tex source file and comment out\r
% the command \texttt{{\char'134}thebibliography}.\r
\r
\r
\bibliographystyle{plain}\r
%\bibliographystyle{IEEEtrans}\r
\bibliography{jabref}\r
% % This next section command marks the start of\r
% % Appendix B, and does not continue the present hierarchy\r
% \section{More Help for the Hardy}\r
% The acm\_proc\_article-sp document class file itself is chock-full of succinct\r
% and helpful comments.  If you consider yourself a moderately\r
% experienced to expert user of \LaTeX, you may find reading\r
% it useful but please remember not to change it.\r
% \balancecolumns\r
% % That's all folks!\r
\r
% that's all folks\r
\end{document}\r
\r
\r