apres relecture Christophe

[canny.git] / stc.tex

diff --git a/stc.tex b/stc.tex
index a5442786bbf0d41848c477d8bae9d75756763ea4..f87104b0bc8f3c3f17d744ba4bb3f9ad74a984c5 100644 (file)
--- a/stc.tex
+++ b/stc.tex
@@ -1,3 +1,5 @@
+To make this article self-contained, this section recalls
+basis of the Syndrome Treillis Codes  (STC).

 Let 
 $x=(x_1,\ldots,x_n)$ be the $n$-bits cover vector of the image $X$, 
 $m$ be the message to embed, and 
 Let 
 $x=(x_1,\ldots,x_n)$ be the $n$-bits cover vector of the image $X$, 
 $m$ be the message to embed, and 


@@ -60,7 +62,7 @@ $2^n-1$ pixels needs $1-1/2^n$ average changes.
 
 Unfortunately, for any given $H$, finding $y$ that solves $Hy=m$ and  
 that minimizes $D_X(x,y)$, has an exponential complexity with respect to $n$. 
 
 Unfortunately, for any given $H$, finding $y$ that solves $Hy=m$ and  
 that minimizes $D_X(x,y)$, has an exponential complexity with respect to $n$. 

-The Syndrome-Trellis Codes  (STC) 
+The Syndrome-Trellis Codes  

 presented by Filler \emph{et al.} in~\cite{DBLP:conf/mediaforensics/FillerJF10} 
 is a practical solution to this complexity. Thanks to this contribution,
 the solving algorithm has a linear complexity with respect to $n$.
 presented by Filler \emph{et al.} in~\cite{DBLP:conf/mediaforensics/FillerJF10} 
 is a practical solution to this complexity. Thanks to this contribution,
 the solving algorithm has a linear complexity with respect to $n$.