\relax 
\ifx\hyper@anchor\@undefined
\global \let \oldcontentsline\contentsline
\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global \let \oldnewlabel\newlabel
\gdef \newlabel#1#2{\newlabelxx{#1}#2}
\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\let \contentsline\oldcontentsline
\let \newlabel\oldnewlabel}
\else
\global \let \hyper@last\relax 
\fi

\bibstyle{amsrn}
\citation{Vidal:DougLotu:03}
\citation{Vidal:Serra82}
\citation{Vidal:Serra88}
\citation{Vidal:Soille2003}
\citation{Vidal:Beucher1994}
\citation{Vidal:Beucher1998}
\citation{Vidal:Bors2002}
\citation{Vidal:Chatzis2000}
\citation{Vidal:Guo1995}
\citation{Vidal:Iwanowski2000b}
\citation{Vidal:Iwanowski2000a}
\citation{Vidal:Iwanowski2001}
\citation{Vidal:Iwanowski2002b}
\citation{Vidal:Iwanowski2005}
\citation{Vidal:Lee2000}
\citation{Vidal:Meyer1994}
\citation{Vidal:Meyer1996}
\citation{Vidal:Serra1994}
\citation{Vidal:Vizireanu2003}
\citation{Vidal:Iwanowski2001}
\citation{Vidal:Iwanowski2002b}
\citation{Vidal:Iwanowski2005}
\citation{Vidal:Vizireanu2003}
\citation{Vidal:VidCreMao2005b}
\citation{Vidal:VidCreMao2005a}
\citation{Vidal:VidCreMao2006}
\citation{Vidal:Soille1991}
\select@language{english}
\@writefile{toc}{\select@language{english}}
\@writefile{lof}{\select@language{english}}
\@writefile{lot}{\select@language{english}}
\@writefile{toc}{\contentsline {chapter}{\numberline {1}A region-based interpolation method for mosaic images}{201}{chapter.1}}
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{201}{section.1.1}}
\newlabel{xxx:sec:Introduction}{{1}{201}{Introduction\relax }{section.1.1}{}}
\citation{Vidal:VidCreMao2005b}
\citation{Vidal:VidCreMao2005a}
\citation{Vidal:VidCreMao2006}
\citation{Vidal:VidCreMao2005b}
\citation{Vidal:VidCreMao2005a}
\citation{Vidal:VidCreMao2006}
\citation{Vidal:VidCreMao2005a}
\citation{Vidal:VidCreMao2005b}
\citation{Vidal:VidCreMao2005a}
\citation{Vidal:VidCreMao2006}
\@writefile{toc}{\contentsline {section}{\numberline {2}A brief summary of an interpolation technique for binary images}{202}{section.1.2}}
\newlabel{xxx:sec:summary}{{2}{202}{A brief summary of an interpolation technique for binary images\relax }{section.1.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Inclusion property}{202}{subsection.1.2.1}}
\newlabel{xxx:sec:inclusionProperty}{{2.1}{202}{Inclusion property\relax }{subsection.1.2.1}{}}
\newlabel{xxx:eq:inclusionProperty}{{1}{202}{Inclusion property\relax }{equation.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Binary image interpolation algorithm}{202}{subsection.1.2.2}}
\newlabel{xxx:sec:binaryTechniqueAlgorithm}{{2.2}{202}{Binary image interpolation algorithm\relax }{subsection.1.2.2}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Inclusion property example. Part~(d) is the filled grain of part~(a). Similarly, part~(f) is the filled grain of part~(c). Parts~(g) and~(i) are the holes of, respectively, parts~(a) and~(c).}}{203}{figure.1.1}}
\newlabel{xxx:fig:inclusionProperty}{{1}{203}{Inclusion property\relax }{figure.1.1}{}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Treatment of border regions in mosaic images}{203}{section.1.3}}
\newlabel{xxx:sec:binaryImages2Mosaics}{{3}{203}{Treatment of border regions in mosaic images\relax }{section.1.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Classification of border images}{203}{subsection.1.3.1}}
\newlabel{xxx:sec:classificationBorderImages}{{3.1}{203}{Classification of border images\relax }{subsection.1.3.1}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Border test images.}}{203}{figure.1.2}}
\newlabel{xxx:fig:testImages}{{2}{203}{Classification of border images\relax }{figure.1.2}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Classification function.}}{204}{figure.1.3}}
\newlabel{xxx:fig:borderTypeAlgorithm}{{3}{204}{Classification of border images\relax }{figure.1.3}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Border images classification}}{204}{figure.1.4}}
\newlabel{xxx:fig:borderTypeCC}{{4}{204}{Classification of border images\relax }{figure.1.4}{}}
\citation{Vidal:VidCreMao2005b}
\citation{Vidal:VidCreMao2005a}
\citation{Vidal:VidCreMao2006}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Interpolation of border images}{205}{subsection.1.3.2}}
\newlabel{xxx:sec:borderImagesInterpolation}{{3.2}{205}{Interpolation of border images\relax }{subsection.1.3.2}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Interpolation between border images with non-empty intersection.}}{205}{figure.1.5}}
\newlabel{xxx:fig:twoIntersectedBorderImages}{{5}{205}{Interpolation of border images\relax }{figure.1.5}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Interpolation between a border image and non-border image with non-empty intersection.}}{205}{figure.1.6}}
\newlabel{xxx:fig:intersectedBorderImages2}{{6}{205}{Interpolation of border images\relax }{figure.1.6}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Interpolation between a border image and non border image with empty intersection.}}{205}{figure.1.7}}
\newlabel{xxx:fig:intersectedBorderImages3}{{7}{205}{Interpolation of border images\relax }{figure.1.7}{}}
\citation{Vidal:Vizireanu2003}
\citation{Vidal:Iwanowski2002b}
\citation{Vidal:Iwanowski2005}
\@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Artificial CCs~to interpolate isolated border CCs: (a) $X \cap (\DOTSB \bigcup@ \slimits@ _{k=1}^4 \partial A_k)$, (b) $X \cap ((\partial A_1 \cap \partial A_2) \cup (\partial A_2 \cap \partial A_3) \cup (\partial A_3 \cap \partial A_4) \cup (\partial A_4 \cap \partial A_1))$, (c), (d) and (e) $\DOTSB \bigcup@ \slimits@ _{k=1}^4{X \cap \partial A_k, \unhbox \voidb@x \hbox { if } X \cap \partial A_k = \partial A_k}$, (f) $\mathop {Thinning}(A)$. In each case, the left image is $X_1$, the middle image is the artificial CC, and the right image is the interpolated result.}}{206}{figure.1.8}}
\newlabel{xxx:fig:artificialCCs}{{8}{206}{Interpolation of border images\relax }{figure.1.8}{}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Interpolation of mosaic images}{206}{section.1.4}}
\newlabel{xxx:sec:mosaicImagesInterpolation}{{4}{206}{Interpolation of mosaic images\relax }{section.1.4}{}}
\citation{Vidal:Garrido2002}
\citation{Vidal:Soille2003}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1}Region separation}{207}{subsection.1.4.1}}
\newlabel{xxx:sec:regionSeparation}{{4.1}{207}{Region separation\relax }{subsection.1.4.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.2}Matching and interpolation}{207}{subsection.1.4.2}}
\newlabel{xxx:sec:matchingInterpolation}{{4.2}{207}{Matching and interpolation\relax }{subsection.1.4.2}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces General region-based interpolation algorithm.}}{208}{figure.1.9}}
\newlabel{xxx:fig:generalRegionBasedAlgorithm}{{9}{208}{Region separation\relax }{figure.1.9}{}}
\citation{Vidal:VidCreMao2005b}
\citation{Vidal:VidCreMao2005a}
\citation{Vidal:VidCreMao2006}
\citation{Vidal:VidCreMao2005b}
\citation{Vidal:VidCreMao2005a}
\citation{Vidal:VidCreMao2006}
\@writefile{lof}{\contentsline {figure}{\numberline {10}{\ignorespaces A mosaic divided in regions.}}{209}{figure.1.10}}
\newlabel{xxx:fig:separationRegions}{{10}{209}{Region separation\relax }{figure.1.10}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3}Final adjustment}{209}{subsection.1.4.3}}
\newlabel{xxx:sec:finalAdjustment}{{4.3}{209}{Final adjustment\relax }{subsection.1.4.3}{}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Experimental results}{210}{section.1.5}}
\newlabel{xxx:sec:experimentalResults}{{5}{210}{Experimental results\relax }{section.1.5}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {11}{\ignorespaces Example of mosaic interpolation.}}{210}{figure.1.11}}
\newlabel{xxx:fig:example1}{{11}{210}{Experimental results\relax }{figure.1.11}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {12}{\ignorespaces Example of mosaic interpolation.}}{210}{figure.1.12}}
\newlabel{xxx:fig:example2}{{12}{210}{Experimental results\relax }{figure.1.12}{}}
\bibcite{Vidal:Beucher1994}{{1}{}}
\bibcite{Vidal:Beucher1998}{{2}{}}
\bibcite{Vidal:Bors2002}{{3}{}}
\bibcite{Vidal:Chatzis2000}{{4}{}}
\bibcite{Vidal:DougLotu:03}{{5}{}}
\bibcite{Vidal:Garrido2002}{{6}{}}
\bibcite{Vidal:Guo1995}{{7}{}}
\bibcite{Vidal:Iwanowski2000b}{{8}{}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Conclusions}{211}{section.1.6}}
\newlabel{xxx:sec:commentariesAndConclusions}{{6}{211}{Conclusions\relax }{section.1.6}{}}
\bibcite{Vidal:Iwanowski2000a}{{9}{}}
\bibcite{Vidal:Iwanowski2001}{{10}{}}
\bibcite{Vidal:Iwanowski2002b}{{11}{}}
\bibcite{Vidal:Iwanowski2005}{{12}{}}
\bibcite{Vidal:Lee2000}{{13}{}}
\bibcite{Vidal:Meyer1994}{{14}{}}
\bibcite{Vidal:Meyer1996}{{15}{}}
\bibcite{Vidal:Serra82}{{16}{}}
\bibcite{Vidal:Serra88}{{17}{}}
\bibcite{Vidal:Serra1994}{{18}{}}
\bibcite{Vidal:Soille1991}{{19}{}}
\bibcite{Vidal:Soille2003}{{20}{}}
\bibcite{Vidal:VidCreMao2005b}{{21}{}}
\bibcite{Vidal:VidCreMao2005a}{{22}{}}
\bibcite{Vidal:VidCreMao2006}{{23}{}}
\bibcite{Vidal:Vizireanu2003}{{24}{}}
\newlabel{[bibenv:1]}{13.21579pt}