Added some on Chain in the doc.
authorviric@llimona
Mon, 12 Nov 2007 23:17:18 +0100
changeset 211 7715fd687b9f
parent 210 241e8a9137e6
child 212 8afc05d983f4
Added some on Chain in the doc.
doc/Makefile
doc/cadena.eps
doc/cadena.svg
doc/memoria.tex
--- a/doc/Makefile	Fri Nov 09 16:55:40 2007 +0100
+++ b/doc/Makefile	Mon Nov 12 23:17:18 2007 +0100
@@ -5,7 +5,8 @@
 	rapids-nens-rgb2ycc.pdf \
 	house-bleeding.pdf \
 	lena-blocking.pdf \
-	bwlines.pdf
+	bwlines.pdf \
+	cadena.pdf
 
 memoria.pdf: memoria.tex $(INCLUDES)
 	pdflatex $<
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
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--- a/doc/memoria.tex	Fri Nov 09 16:55:40 2007 +0100
+++ b/doc/memoria.tex	Mon Nov 12 23:17:18 2007 +0100
@@ -469,6 +469,7 @@
 
 \section{Tècniques}
 
+\label{sec:tecniques}
 A la l'apartat \ref{sec:perdues} hem explicat quines pèrdues de senyal
 trobem al JPEG, i
 quins són els marges de llibertat que tenim a l'hora d'intentar recuperar la
@@ -666,6 +667,207 @@
 
 \section{Programari}
 
+Com hem vist a l'apartat anterior, trobem nombrosos articles sobre la millora de
+la descompressió JPEG. Malauradament, no trobem els algorismes implementats en
+cap mena d'aplicació per a l'usuari final. GIMP i Adobe Photoshop
+\textregistered, possiblement els processadors de mapes de bits més populars,
+només suporten la descodificació convencional. A la última versió (6b) de la
+\texttt{libjpeg} tampoc hi trobem res d'especial, tot i que a la documentació
+fan una declaració d'intencions per incorporar mètodes de restauració a la
+versió 7, però sembla que el desenvolupament d'aquesta llibreria es va aturar
+precisament a la 6b el 1998.
+
+Així doncs hem trobat oportú construir una aplicació informàtica que ofereixi
+als professionals de la imatge accés relativament fàcil als algorismes de
+restauració més destacats. Com explicàvem al primer apartat d'aquest document,
+la codificació JPEG es continua utilitzant activament, i per tant molts usuaris
+es poden beneficiar d'una iniciativa com aquesta.
+
+Quan hem buscat implementacions dels algorismes, n'hem trobat molt poques,
+i la majoria d'aquestes poques estaven escrites en Matlab. Els interprets de
+Matlab els trobem pràcticament només a les universitats o dins departaments
+d'investigació d'empreses, però la majoria de professionals de la imatge ni el
+posseiran ni el sabran utilitzar. Nosaltres hem desenvolupat tota l'aplicació i
+els algorismes en C i C++, ja que ens semblen els llenguatges més populars i a
+l'abast de qualsevol gràcies a diversos compiladors i enllaçadors lliures
+disponibles. Aquí tenim un llistat de les principals característiques
+del programa:
+\begin{itemize}
+\item Només permet manipular un JPEG alhora, junt amb versions
+recuperades o que teníem guardades a disc.
+\item Tot el procés i emmagatzematge intern de la informació de les imatges
+es realitza en punt flotant (\texttt{float} en C), per evitar pèrdues per
+arrodoniment als càlculs.
+\item El programa requereix que l'usuari entengui la part de descodificació JPEG
+que hem explicat al primer apartat, ja que
+és l'usuari qui determinarà com es realitzaran diversos passos d'aquesta
+descodificació.
+\end{itemize}
+
+L'aplicació inclou implementacions dels algorismes de
+restauració que ens han semblat més prometedors, i també permet comparar
+còmodament diferents versions d'una imatge, bé a ull nu, bé amb mesures
+matemàtiques. A l'hora d'escollir els algorismes, ens hem regit pels següents
+criteris:
+\begin{itemize}
+\item No ens importa la complexitat de l'algorisme en temps de computació o
+memòria. No tractarem vídeo, sino imatges estàtiques. Alguns articles presenten
+novetats exclusivament en el camp de la restauració ràpida, tot i que no
+aconsegueixen recuperacions tan bones com els algorismes lents.
+\item Hem considerat que els exemples d'imatge presentats al mateix article
+ofereixen una bona idea del millor que pot assolir l'algorisme. Creiem que
+alguns articles presenten molt poca millora com per a tenir-los en compte en una
+implementació.
+\item L'algorisme ha de permetre millorar imatges en general. Alguns només
+milloren les zones de baixes freqüències, o fins i tot només serveixen per a
+dibuixos artificials en comptes de fotografies.
+\item L'efecte de l'algorisme s'ha de caracteritzar per pocs paràmetres, i
+aquests han de tenir una relació monòtona amb els seus efectes.
+En la majoria de casos l'usuari no
+entendrà internament algorisme, i variarà intuitivament els paràmetres. Si
+l'usuari no pot entendre l'efecte que té cada paràmetre, segurament refusarà
+manipular-lo.
+\end{itemize}
+
+Podem classificar els algorismes segons la seva funció. A la nostra aplicació
+distingim:
+\begin{itemize}
+\item Mesures no-referencials. Per exemple, GBIM.
+\item Mesures referencials (comparació). Per exemple, la PSNR.
+\item Elements de la cadena de descodificació.
+\end{itemize}
+
+A qualsevol imatge que haguem carregat dins de l'aplicació li podem aplicar els
+algorismes de mesura, i obtindrem els resultats en un nou quadre de
+texte. Per a les mesures referencials haurem d'escollir les dues imatges a
+comparar, en comptes de només una.
+
+\subsection{La cadena de descodificació}
+
+Un cop l'usuari hagi determinat quina imatge JPEG vol recuperar, li caldrà
+decidir com es descodificarà. L'aplicació li donarà un esquema de la
+\emph{cadena de descodificació} amb les baules buides, similar al de la Figura
+\ref{fig:cadena}. Segons on es troben de la cadena, les baules fan referència
+a una part o altra del procés de descodificació. A cada tipus de baula li
+correspon un tipus d'algorisme. Considerem aquests quatre tipus:
+\begin{itemize}
+\item Desquantització i transformada inversa de cada pla.
+\item Restaurador de pla
+\item Escalador dels plans
+\item Canvi de plans de color. Per exemple, de YCbCr a RGB.
+\end{itemize}
+
+\figura{cadena.pdf}{\label{fig:cadena}Cadena de descodificació d'un JPEG amb
+tres plans de color, amb les
+baules (amb el contorn més gruixut) on hi podem col·locar diversos 
+algorismes. Les línies de punts separen els diferents tipus d'algorismes
+acceptats. D'esquerra a dreta: \emph{desquantitzador i IDCT2D},
+\emph{restaurador de pla}, \emph{escalador}, \emph{canvi de plans de color}.}
+
+L'aplicació posarà a la disposició de l'usuari uns quants algorismes de cada
+tipus, i aquest podrà col·locar els que cregui adients a la cadena, en forma de
+baula. Alguns dels algorismes que col·locarem a les baules són configurables.
+Això vol dir que el resultat que donin dependrà tant de l'entrada de
+l'algorisme (de la baula anterior) com de la configuració dels seus
+paràmetres interns.
+
+\subsubsection{Desquantització i IDCT 2D de cada pla}
+
+\begin{description}
+\item[entrada] els intervals de quantització d'un pla de la imatge ocdificada
+\item[sortida] una imatge d'intensitat espacial del pla
+\end{description}
+
+Aquest element té una doble funció: escollir quins punts de l'interval de
+quantització determinaran els coeficients freqüencials concrets, i dur a terme
+la transformada DCT 2D inversa.
+
+A l'hora d'escriure aquest document, a l'aplicació hi ha dos algorismes
+disponibles d'aquest tipus. El primer coincideix amb la descodificació
+convencional de JPEG escollint el punt mig dels intervals. I el segon considera
+la informació dels coeficients AC (tots menys la component contínua DC, el
+primer coeficient de cada bloc) com variables aleatòries exponencials d'igual
+mitjana, com a \cite{trianta2003}. L'usuari pot configurar la mitjana.
+
+\subsubsection{Restaurador de pla}
+
+\begin{description}
+\item[entrada] els intervals de quantització d'un pla de la imatge ocdificada
+\item[entrada] una imatge d'intensitat espacial del pla (imatge de partida)
+\item[sortida] una imatge d'intensitat espacial del pla (imatge millorada)
+\end{description}
+
+La majoria d'algorismes de restauració de JPEGs que hem trobat encaixen dins
+aquesta categoria. Partint d'un pla inicial (als articles sol ser una
+descompressió convencional) utilitzen diverses tècniques per obtenir una versió
+millor del mateix pla. A l'apartat \ref{sec:tecniques} ja hem parlat d'aquest
+tipus d'algorismes.
+
+Cal destacar que als articles utilitzen imatges d'escala de grisos ja que
+exclusivament intenten millorar un pla de la imatge. A la nostra aplicació podem
+utilitzar els algorismes a qualsevol dels plans del JPEG. Igualment, podem
+encadenar tants algorismes d'aquests tipus com volguem, on cada un determinarà
+la imatge inicial del seu successor.
+
+Quan escrivim aquestes línies, l'aplicació dóna implementacions de
+\cite{orourke1995}, \cite{froment2005}, \cite{robertson2004},
+\cite{trianta2003}, \cite{nosratinia2002} i \cite{hp2004}. No tots aquests
+algorismes utilitzen la \emph{projecció a l'espai de quantització} per assegurar
+el compliment de la informació del JPEG, així que també hem inclòs aquesta
+projecció com a algorisme independent. A part de les
+propostes d'articles, inclou un
+senzill algorisme de millora de les zones amb textura desenvolupat per nosaltres
+mateixos que aprofita la naturalesa de l'aplicació: combinar i encadenar
+tècniques. L'explicarem més endavant a l'apartat \ref{sec:hcontrast}.
+Finalment, la implementació actual també inclou uns mòduls especials
+que ens permeten alterar els
+plans mitjançant una altra aplicació informàtica. Són els següents:
+\begin{itemize}
+\item \emph{salvar pla a disc}. Si l'usuari col·loca aquesta funció dins una baula de
+restauració de pla, al aplicar la descodificació definida per la cadena, el pla
+d'entrada de la baula s'escriurà a disc. Llavors l'usuari pot utilitzar el seu
+programa preferit de manipulació fotogràfica amb les tècniques que cregui
+convenients, i guardar-les a disc, utilitzant després la funció que ve a
+continuació.
+\item \emph{carregar pla de disc}. El pla d'entrada d'aquest algorisme
+s'ignorarà completament, i el pla de sortida vindrà determinat per un fitxer
+guardat a disc.
+\end{itemize}
+Aquestes dues funcions les hem utilitzat a la pràctica per millorar els plans
+amb un filtre del GIMP\footnote{GNU Image Manipulation Program
+\url{http://www.gimp.org/}}, el suavitzat Gaussià sel·lectiu.
+Aquesta tècnica també la utilitzen
+combinada amb altres a \cite{queiroz1998} i \cite{kim1999}, i alguns manuals de
+GIMP la recomanen per a eliminar part del soroll d'algunes imatges JPEG.
+Si utilitzem les funcions de \emph{salvar el
+pla}, apliquem el filtre amb el GIMP, \emph{el carreguem a la cadena}, i després
+hi apliquem una \emph{projecció sobre l'espai de quantització}, obtenim
+resultats competitius amb altres algorismes, segons el tipus de imatge i el
+tipus de codificació JPEG.
+
+\subsubsection{Escalador dels plans}
+
+\begin{description}
+\item[entrada] $n$ plans independents, possiblement alguns delmats
+\item[sortida] $n$ plans de color
+\end{description}
+
+
+\subsubsection{Canvi de plans de color}
+
+\begin{description}
+\item[entrada] $n$ plans de color
+\item[sortida] $n$ plans de color
+\end{description}
+
+Aquests algorismes transformen els plans de color codificats del JPEG als plans
+exigits pel sistema gràfic del nostre ordinador. Aquests algorismes només fan
+falta amb les imatges JPEG, i la nostra aplicació ara mateix només suporta a) un
+pla de lluminositat o b) tres plans vermell-ved-blau. Segurament la majoria dels
+nostres JPEG a color estaran codificats amb lluminositat-blavor-vermellor, i per
+tant necessitarem un algorisme conversor de YCbCr a RGB per a veure les imatges
+correctament al programa.
+
 \printindex
 
 \bibliography{cited}