X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/canny.git/blobdiff_plain/dd86a49a6884ba85ab2469757bbec464943ad7e5..57f6acd69b21dc27e72b1d6f5b4515e1baf56b5b:/intro.tex diff --git a/intro.tex b/intro.tex index ff1a404..28463ee 100644 --- a/intro.tex +++ b/intro.tex @@ -1,9 +1,8 @@ -This research work takes place in the field of information hiding, considerably developed -these last two decades. The proposed method for +This research work takes place in the field of information hiding, considerably developed these last two decades. The proposed method for steganography considers digital images as covers. It belongs to the well-known large category of spatial least significant bits (LSBs) replacement schemes. -Let us recall that, in this LSBR category, a subset of all the LSBs of the cover image is modified +Let us recall that, in this LSB replacement category, a subset of all the LSBs of the cover image is modified with a secret bit stream depending on: a secret key, the cover, and the message to embed. In this well-studied steganographic approach, if we consider that a LSB is the last bit of each pixel value, @@ -12,14 +11,15 @@ are never decreased (resp. increased), thus such schemes may break the structural symmetry of the host images. And these structural alterations can be detected by -well-designed statistical investigations, leading to known steganalysis methods~\cite{DBLP:journals/tsp/DumitrescuWW03,DBLP:conf/mmsec/FridrichGD01,Dumitrescu:2005:LSB:1073170.1073176}. +well-designed statistical investigations, leading to well-known +steganalysis methods~\cite{DBLP:journals/tsp/DumitrescuWW03,DBLP:conf/mmsec/FridrichGD01,Dumitrescu:2005:LSB:1073170.1073176}. Let us recall too that this drawback -can be corrected considering the LSB matching (LSBM) subcategory, in which -the $+1$ or $-1$ is randomly added to the cover pixel LSB value +can be fixed by considering the LSB matching (LSBM) subcategory, in which +the $+1$ or $-1$ is randomly added to the cover pixel's LSB value only if this one does not correspond to the secret bit. %TODO : modifier ceci -By considering well-encrypted hidden messages, probabilities of increasing or ofdecreasing value of pixels are equal. Then usual statistical approaches +By considering well-encrypted hidden messages, the probabilities of increasing or decreasing the value of pixels are equal. Then usual statistical approaches cannot be applied here to discover stego-contents in LSBM. The most accurate detectors for this matching are universal steganalysers such as~\cite{LHS08,DBLP:conf/ih/Ker05,FK12}, which classify images according to extracted features from neighboring elements of residual noise. @@ -43,19 +43,31 @@ LSBM approach. % based on our experiments -Instead of (efficiently) modifying LSBs, there is also a need to select pixels whose value +Additionally to (efficiently) modifying LSBs, there is also a need to select pixels whose value modification minimizes a distortion function. -This distortion may be computed thanks to feature vectors that are embedded for instance in the steganalysers +This distortion may be computed thanks to feature vectors that + are embedded for instance in the steganalysers referenced above. -Highly Undetectable steGO (HUGO) method~\cite{DBLP:conf/ih/PevnyFB10} is one of the most efficient instance of such a scheme. -It takes into account so-called SPAM features -%(whose size is larger than $10^7$) -to avoid overfitting a particular -steganalyser. Thus a distortion measure for each pixel is individually determined as the sum of the differences between +The Highly Undetectable steGO (HUGO) method~\cite{DBLP:conf/ih/PevnyFB10}, +WOW~\cite{conf/wifs/HolubF12}, and UNIWARD~\cite{HFD14} +are some of the most efficient instances of such a scheme. + +HUGO takes into account so-called SPAM features. +Thus a distortion measure for each +pixel is individually determined as the sum of the differences between the features of the SPAM computed from the cover and from the stego images. -Thanks to this features set, HUGO allows to embed messages that are $7\times$ longer than the former ones with the same level of +The features embedded in WOW and UNIWARD are based on Wavelet-based +directional filter. Thus, similarelly, the distortion function is +the sum of the differences between these wavelet coefficients +computed from the cover and from the stego images. + + +Due to this distortion measures, HUGO, WOW and UNIWARD allow +to embed messages that are $7$ times longer than the former +ones with the same level of indetectability as LSB matching. -However, this improvement is time consuming, mainly due to the distortion function +However, this improvement is time consuming, mainly due to + the distortion function computation. @@ -76,23 +88,24 @@ In the former, the authors present the Edge Adaptive Image Steganography based on LSB matching revisited further denoted as EAISLSBMR. This approach selects sharper edge regions with respect -to a given embedding rate: the larger the number of bits to be embedded, the coarser +to a given embedding rate: the larger the number of bits to be embedded is, the coarser the edge regions are. -Then the data hiding algorithm is achieved by applying LSBMR on some of the pixels of these regions. +Then the data hiding algorithm is achie\-ved by applying LSBMR on some of the pixels of these regions. The authors show that their proposed method is more efficient than all the LSB, LSBM, and LSBMR approaches -thanks to extensive experiments. +through extensive experiments. However, it has been shown that the distinguishing error with LSB embedding is lower than the one with some binary embedding~\cite{DBLP:journals/tifs/FillerJF11}. -We thus propose to take advantage of these optimized embeddings, provided they are not too time consuming. +We thus propose to take advantage of this optimized embedding, provided they are not too time consuming. In the latter, an hybrid edge detector is presented followed by an ad hoc embedding. The Edge detection is computed by combining fuzzy logic~\cite{Tyan1993} -and Canny~\cite{Canny:1986:CAE:11274.11275} approaches. The goal of this combination +and Canny~\cite{Canny:1986:CAE:11274.11275} approaches. +The goal of this combination is to enlarge the set of modified bits to increase the payload of the data hiding scheme. One can notice that all the previously referenced -schemes~\cite{Luo:2010:EAI:1824719.1824720,DBLP:journals/eswa/ChenCL10,DBLP:conf/ih/PevnyFB10} +sche\-mes~\cite{Luo:2010:EAI:1824719.1824720,DBLP:journals/eswa/ChenCL10,DBLP:conf/ih/PevnyFB10} produce stego contents by only considering the payload, not the type of image signal: the higher the payload is, the better the approach is said to be. @@ -122,12 +135,12 @@ scheme, whose principal characteristic is to take into consideration the cover image and to be compatible with small computation resources. The remainder of this document is organized as follows. -Section~\ref{sec:ourapproach} presents the details of the proposed steganographic scheme and applies it on a running example. -Section~\ref{sec:experiments} shows experiments on image quality, steganalytic evaluation, complexity of our approach, -and compare them to the state of the art steganographic schemes. +Section~\ref{sec:ourapproach} presents the details of the proposed steganographic scheme and applies it on a running example. Among its technical description, +its adaptive aspect is emphasized. +Section~\ref{sub:complexity} presents the overall complexity of our approach +and compares it to HUGO, WOW, and UNIWARD. +Section~\ref{sec:experiments} shows experiments on image quality, steganalysis evaluation, and compares them to the state of the art steganographic schemes. Finally, concluding notes and future work are given in Section~\ref{sec:concl}. - -