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[canny.git] / experiments.tex

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@@ -1,72 +1,113 @@
+For whole experiments, a set of 500 images is randomly extracted 
+from the database taken from the BOSS contest~\cite{Boss10}. 
+In this set, each cover is a $512\times 512$
+grayscale digital image.
+
+

 \subsection{Adaptive Embedding Rate} 
 
 \subsection{Adaptive Embedding Rate} 
 

-Two strategies have been developed in our scheme with respect to the rate of 
-embedding which is either \emph{ adaptive} or \emph{fixed}.
+Two strategies have been developed in our scheme, depending on the embedding rate that is either \emph{adaptive} or \emph{fixed}.

 
 In the former the embedding rate depends on the number of edge pixels.
 
 In the former the embedding rate depends on the number of edge pixels.

-The higher it is, the larger is the message length that can be considered.
+The higher it is, the larger the message length that can be inserted is.

 Practically, a set of edge pixels is computed according to the 
 Practically, a set of edge pixels is computed according to the 

-Canny algorithm with high threshold.
-The message length is thus defined to be the half of this set cardinality.
-The rate between  available bits  and bit message length is then more than two.This constraint is indeed induced by the fact that the efficiency 
+Canny algorithm with an high threshold.
+The message length is thus defined to be half of this set cardinality.
+In this strategy, two methods are thus applied to extract bits that 
+are modified. The first one is a direct application of the STC algorithm.
+This method is further referred to as \emph{adaptive+STC}.
+The second one randomly chooses the subset of pixels to modify by 
+applying the BBS PRNG again. This method is denoted \emph{adaptive+sample}.
+Notice that the rate between 
+available bits  and bit message length is always equal to 2.
+This constraint is indeed induced by the fact that the efficiency 

 of the STC algorithm is unsatisfactory under that threshold.
 of the STC algorithm is unsatisfactory under that threshold.

+In our experiments and with the adaptive scheme, 
+the average size of the message that can be embedded is 16,445 bits.
+Its corresponds to an  average payload of 6.35\%. 
+
+

 
 
 In the latter, the embedding rate is defined as a percentage between the 
 
 
 In the latter, the embedding rate is defined as a percentage between the 

-number of the modified pixels and the length of the bit message.
+number of modified pixels and the length of the bit message.

 This is the classical approach adopted in steganography.
 This is the classical approach adopted in steganography.

-Practically, the Canny algorithm generates a 
-a set of edge pixels with threshold that is decreasing until its cardinality
+Practically, the Canny algorithm generates  
+a set of edge pixels related to a threshold that is decreasing until its cardinality

 is sufficient. If the set cardinality is more than twice larger than the 
 is sufficient. If the set cardinality is more than twice larger than the 

-bit message length an STC step is again applied.
-Otherwise, pixels are randomly chosen from the set of pixels to build the 
-subset with a given size. The BBS PRNG is again applied there.
- 
+bit message length, a STC step is again applied.
+Otherwise, pixels are again randomly chosen with BBS.

 
  
 
 \subsection{Image Quality}
 The visual quality of the STABYLO scheme is evaluated in this section.
 
  
 
 \subsection{Image Quality}
 The visual quality of the STABYLO scheme is evaluated in this section.

-Four metrics are computed in these experiments: 
+For the sake of completeness, four metrics are computed in these experiments: 

 the Peak Signal to Noise Ratio (PSNR), 
 the Peak Signal to Noise Ratio (PSNR), 

-the PSNR-HVS-M family~\cite{PSECAL07,psnrhvsm11} , 
-the BIQI~\cite{MB10,biqi11} and 
+the PSNR-HVS-M family~\cite{PSECAL07,psnrhvsm11}, 
+the BIQI~\cite{MB10,biqi11}, and 

 the weighted PSNR (wPSNR)~\cite{DBLP:conf/ih/PereiraVMMP01}.
 The first one is widely used but does not take into
 the weighted PSNR (wPSNR)~\cite{DBLP:conf/ih/PereiraVMMP01}.
 The first one is widely used but does not take into

-account Human Visual System (HVS).
-The other last ones have been designed to tackle this problem.
+account the Human Visual System (HVS).
+The other ones have been designed to tackle this problem.

 
 

-\begin{table}
+\begin{table*}

 \begin{center}
 \begin{center}

-\begin{tabular}{|c|c|c|}
+\begin{tabular}{|c|c|c||c|c|c|}
+\hline
+Schemes & \multicolumn{3}{|c|}{STABYLO} & \multicolumn{2}{|c|}{HUGO}\\

 \hline
 \hline

-Embedding rate &  Adaptive & 10 \%  \\
+Embedding &   \multicolumn{2}{|c||}{Adaptive} & Fixed & \multicolumn{2}{|c|}{Fixed} \\

 \hline
 \hline

-PSNR &  66.55    & 61.86     \\
+Rate &   + STC &  + sample & 10\% & 10\%&6.35\%\\ 

 \hline
 \hline

-PSNR-HVS-M & 78.6  & 72.9 \\
+PSNR &  66.55 & 63.48  & 61.86  & 64.65 & 67.08  \\ 

 \hline
 \hline

-BIQI & 28.3 & 28.4 \\
+PSNR-HVS-M & 78.6 & 75.39 & 72.9 & 76.67 & 79.23 \\ 

 \hline
 \hline

-wPSNR & 86.43& 77.47 \\
+BIQI & 28.3 & 28.28 & 28.4 & 28.28 & 28.28 \\ 
+\hline
+wPSNR & 86.43& 80.59 & 77.47& 83.03 & 87.8\\ 

 \hline
 \end{tabular}
 \end{center}
 \hline
 \end{tabular}
 \end{center}

-\caption{Quality measures of our steganography approach\label{table:quality}} 
-\end{table}
-
-
-Let us compare the STABYLO approach with other edge based steganography
+\caption{Quality Measures of Steganography Approaches\label{table:quality}} 
+\end{table*}
+
+Let us give an interpretation of these experiments.
+First of all, the adaptive strategy produces images with lower distortion 
+than the one of images resulting from the 10\% fixed strategy.
+Numerical results are indeed always greater for the former strategy than 
+for the latter, except for the BIQI metrics where differences are not really relevant.
+These results are not surprising since the adaptive strategy aims at 
+embedding messages whose length is decided according to an higher threshold
+into the edge detection.  
+Let us focus on the quality of HUGO images: with a given fixed 
+embedding rate (10\%), 
+HUGO always produces images whose quality is higher than the STABYLO's one.
+However, our approach nevertheless provides equivalent
+results with the strategy 
+\emph{adaptive+STC} than HUGO with an average embedding rate set to 
+6.35\%. 
+This occurs with a lightweight manner, as motivated in the introduction.      
+
+
+Let us now compare the STABYLO approach with other edge based steganography

 schemes with respect to the image quality.
 schemes with respect to the image quality.

-First of all, wPSNR and PSNR of the Edge Adaptive
-scheme detailed in~\cite{Luo:2010:EAI:1824719.1824720} are lower than ours.
-Next both the approaches~\cite{DBLP:journals/eswa/ChenCL10,Chang20101286}
+First of all, the Edge Adaptive
+scheme detailed in~\cite{Luo:2010:EAI:1824719.1824720} 
+executed with a 10\% embedding rate 
+has the same PSNR but a lower wPSNR than ours:
+these two metrics are respectively equal to 61.9 and 68.9. 
+Next, both  approaches~\cite{DBLP:journals/eswa/ChenCL10,Chang20101286}

 focus on increasing the payload while the PSNR is acceptable, but do not 
 focus on increasing the payload while the PSNR is acceptable, but do not 

-give quality metrics for fixed embedding rate from a large base of images. 
+give quality metrics for fixed embedding rates from a large base of images. 

 Our approach outperforms the former thanks to the introduction of the STC 
 algorithm.
 
 
 Our approach outperforms the former thanks to the introduction of the STC 
 algorithm.
 
 

+
+

 \subsection{Steganalysis}
 
 
 \subsection{Steganalysis}
 
 


@@ -77,36 +118,41 @@ and Ensemble Classifier~\cite{DBLP:journals/tifs/KodovskyFH12} based steganalyse
 Both aims at detecting hidden bits in grayscale natural images and are 
 considered as the state of the art of steganalysers in spatial domain~\cite{FK12}.
 The former approach is based on a simplified parametric model of natural images.
 Both aims at detecting hidden bits in grayscale natural images and are 
 considered as the state of the art of steganalysers in spatial domain~\cite{FK12}.
 The former approach is based on a simplified parametric model of natural images.

-Parameters are firstly estimated and a adaptive Asymptotically Uniformly Most Powerful
-(AUMP) test is designed (theoretically and practically) to check whether
-a natural image has stego content or not.  
+Parameters are firstly estimated and an adaptive Asymptotically Uniformly Most Powerful
+(AUMP) test is designed (theoretically and practically), to check whether
+an image has stego content or not.  

 In the latter, the authors show that the 
 In the latter, the authors show that the 

-machine learning step, (which is often
-implemented as support vector machine)
-can be a favourably executed thanks to an Ensemble Classifiers.
+machine learning step, which is often
+implemented as support vector machine,
+can be favorably executed thanks to an ensemble classifier.

 
 
 
 
 
 

-\begin{table}
+\begin{table*}

 \begin{center}
 \begin{center}

-\begin{tabular}{|c|c|c|c|}
+%\begin{small}
+\begin{tabular}{|c|c|c|c|c|c|}
+\hline
+Schemes & \multicolumn{3}{|c|}{STABYLO} & \multicolumn{2}{|c|}{HUGO}\\

 \hline
 \hline

-Schemes & \multicolumn{2}{|c|}{STABYLO} & HUGO\\
+Embedding &   \multicolumn{2}{|c|}{Adaptive} & Fixed & \multicolumn{2}{|c|}{Fixed} \\

 \hline
 \hline

-Embedding rate &  Adaptive & 10 \% &  10 \%\\
+Rate &   + STC &  + sample & 10\% & 10\%& 6.35\%\\ 

 \hline
 \hline

-AUMP & 0.39  & 0.22     &  0.50     \\
+AUMP & 0.39  & 0.33  & 0.22     &  0.50 &  0.50  \\

 \hline
 \hline

-Ensemble Classifier & 0.47   & 0.35     & 0.48     \\
+Ensemble Classifier & 0.47 & 0.44 & 0.35     & 0.48 &  0.49  \\

 
 \hline
 \end{tabular}
 
 \hline
 \end{tabular}

+%\end{small}

 \end{center}
 \caption{Steganalysing STABYLO\label{table:steganalyse}} 
 \end{center}
 \caption{Steganalysing STABYLO\label{table:steganalyse}} 

-\end{table}
+\end{table*}

 
 
 
 

-Results show that our approach is more easily detectable than HUGO which is
-is the more secure steganography tool, as far we know. However due to its 
-huge number of features integration, it is not lightweight.   
+Results show that our approach is more easily detectable than HUGO, which
+is the most secure steganographic tool, as far as we know. However due to its 
+huge number of features integration, it is not lightweight, which justifies 
+in the authors' opinion the consideration of the proposed method.