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1 \relax 
2 \citation{KassWT88}
3 \citation{ChesnaudRB99}
4 \citation{ChesnaudRB99}
5 \citation{Brunett}
6 \citation{ChesnaudRB99}
7 \citation{ChesnaudRB99}
8 \@writefile{toc}{\contentsline {section}{\numberline {I}Introduction}{1}}
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10 \@writefile{toc}{\contentsline {section}{\numberline {II}Sequential algorithm : outlines}{1}}
11 \citation{ChesnaudRB99}
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25 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {End of first iteration (4 nodes) }}}{2}}
26 \@writefile{lof}{\contentsline {subfigure}{\numberline{(c)}{\ignorespaces {End of second iteration (8 nodes)}}}{2}}
27 \@writefile{lof}{\contentsline {subfigure}{\numberline{(d)}{\ignorespaces {End of fourth iteration (29 nodes)}}}{2}}
28 \newlabel{images_algo}{{1}{2}}
29 \newlabel{secCPUalgodetails}{{III}{2}}
30 \@writefile{toc}{\contentsline {section}{\numberline {III}Sequential algorithm : details}{2}}
31 \@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {III-A}}Criterion}{2}}
32 \@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {III-B}}CPU implementation}{2}}
33 \citation{CUDAPG}
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35 \citation{CUDAFT}
36 \citation{CUDAFC}
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43 \newlabel{debinit}{{3}{3}}
44 \newlabel{fininit}{{9}{3}}
45 \newlabel{loopnewnodes}{{10}{3}}
46 \newlabel{loopmovenodes}{{11}{3}}
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48 \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces the three most-consumming functions for various image sizes}}{3}}
49 \newlabel{CPUprofile}{{2}{3}}
50 \newlabel{GPUgeneralites}{{IV}{3}}
51 \@writefile{toc}{\contentsline {section}{\numberline {IV}NVidia's GPU architecture}{3}}
52 \citation{ChesnaudRB99}
53 \citation{Harris07}
54 \citation{CUDAPG}
55 \@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces schematic diagram of GPU's internal architecture}}{4}}
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57 \newlabel{GPUimplementation}{{V}{4}}
58 \@writefile{toc}{\contentsline {section}{\numberline {V}GPU implementation}{4}}
59 \@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {V-A}}Pre-computations}{4}}
60 \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces \texttt  {compute\_blocks\_prefixes()} details.}}{5}}
61 \newlabel{GPUcumuls}{{4}{5}}
62 \@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {V-B}}Segment contributions}{5}}
63 \citation{CUDAFT}
64 \citation{CUDAPG}
65 \@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces \texttt  {scan\_blocksums()} details.}}{6}}
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69 \@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Optimization of node locations using 8 position tests around each node.}}{6}}
70 \newlabel{GPUtopo}{{7}{6}}
71 \@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces structure for segments contributions computation. Gray symbols help to locate inactive threads as opposed to black ones that figure active threads.}}{7}}
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73 \@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {V-C}}Segments with a slope $k$ such as $|k|\leq 1$}{7}}
74 \@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces Zoom on part a of segment with $|k| < 1$, at pixel level.}}{7}}
75 \newlabel{tripix}{{9}{7}}
76 \@writefile{toc}{\contentsline {subsection}{\numberline {\unhbox \voidb@x \hbox {V-D}}Parameters estimation}{7}}
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78 \newlabel{secSpeedups}{{VI}{7}}
79 \@writefile{toc}{\contentsline {section}{\numberline {VI}Speedups}{7}}
80 \bibstyle{IEEEtran}
81 \bibdata{IEEEabrv,biblio}
82 \bibcite{KassWT88}{1}
83 \bibcite{ChesnaudRB99}{2}
84 \bibcite{Brunett}{3}
85 \bibcite{CUDAPG}{4}
86 \bibcite{CUDAFT}{5}
87 \bibcite{CUDAFC}{6}
88 \bibcite{Harris07}{7}
89 \newlabel{gpualgosimple}{{3}{8}}
90 \@writefile{loa}{\contentsline {algocf}{\numberline {3}{\ignorespaces Parralel GPU algorithm : outlines. \texttt  {<<<...>>>} indicates a GPU kernel parallel process.}}{8}}
91 \@writefile{lot}{\contentsline {table}{\numberline {I}{\ignorespaces  GPU (C2050, sm20) vs CPU timings.}}{8}}
92 \newlabel{tabresults}{{I}{8}}
93 \newlabel{secConclusion}{{VII}{8}}
94 \@writefile{toc}{\contentsline {section}{\numberline {VII}Conclusion}{8}}
95 \@writefile{toc}{\contentsline {section}{References}{8}}