
Recently, chaos has become an usual technique to define schemes used
%for encryption~\cite{Lang20102092} or information hiding~\cite{Dawei2004,4722496}. 
for encryption or watermarking~\cite{Dawei2004,4722496}. 
In this context, embedded watermarks can be either visible or invisible.
In the former case, the  mark overlays the image host and is thus visible 
In the later case, the  mark is embedded in such a way that the differences
between the original host and the watermarked one are perceptually
unnoticeable.

Our invisible chaos-Based watermarking scheme 
proposed in this research work uses such kind of techniques. 
It is an extension of a previously released watermarking
method~\cite{fgb11:ip} in the direction of quality analysis.

Its robustness facing
geometrical attacks and signal processing 
is studied.%  and compared with other
% existing robust schemes like those proposed
% in~\cite{4722496,Dawei2004,JMM0403112119}.







The  remainder   of  this   document   is   organized   as  follows.
In Section~\ref{section:process-ci2}, the watermarking scheme is given. 
Furthermore, the
 correctness and the completeness of the approach has been proven. This
 is     the     first     contribution     of    the     paper.    
Then, in
Section~\ref{sec:robustness}, the robustness  of \CID is studied facing
geometrical and  signal processing attacks  through a large  number of
experiments.  This     is    the    second     contribution.  
The documents ends with a conclusion
section,  where  our contribution  is  summarized  and intended  future
researches are presented.



