From 4b086f2b3e5cfb73aff41888d09546511a911573 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Vojt=C4=9Bch=20Moravec?= <theazgra@gmail.com> Date: Sun, 3 Mar 2019 09:52:32 +0100 Subject: [PATCH] Plotting. --- document/data/plot_notes.txt | 17 +++++++++ document/data/query.sql | 19 +++++----- document/document.pdf | Bin 227973 -> 232360 bytes document/document.tex | 67 +++++++++++++++++++++++++++++++++-- document/figures/ZCurve.pdf | Bin 9689 -> 9649 bytes document/figures/ZCurve.svg | 31 ++++++++++------ 6 files changed, 111 insertions(+), 23 deletions(-) diff --git a/document/data/plot_notes.txt b/document/data/plot_notes.txt index bc6adb0..8f0b7b8 100644 --- a/document/data/plot_notes.txt +++ b/document/data/plot_notes.txt @@ -33,6 +33,23 @@ Level_6;ZOrder;AverageCompressionRation LLC Emerald 1.71823 16 Bit Z Stack 1.88627 ----------------------------------------------- +Level_6;DifferenceNormal_VS_ZOrder + GZIP + Artemia 105.95400 + Artemia Flash 109.29308 + LLC Emerald 101.46799 + 16 Bit Z Stack 101.15722 + LZMA + Artemia 103.48855 + Artemia Flash 104.98964 + LLC Emerald 102.23146 + 16 Bit Z Stack 101.92729 + BZIP2 + Artemia 99.84425 + Artemia Flash 100.77455 + LLC Emerald 99.89707 + 16 Bit Z Stack 98.90801 +----------------------------------------------- Level_6;NormalOrder;BitsPerPixel GZIP Artemia 5.99774 diff --git a/document/data/query.sql b/document/data/query.sql index f92a6aa..25f99d8 100644 --- a/document/data/query.sql +++ b/document/data/query.sql @@ -1,27 +1,26 @@ -SELECT subblock, compressionRatio, compressionRatioZ -FROM LlcEmeralCherry -WHERE compression = 'BZIP2' AND level = 6 +-- SELECT subblock, compressionRatio, compressionRatioZ +-- FROM LlcEmeralCherry +-- WHERE compression = 'GZIP' AND level = 6 + -/* SELECT * FROM ( -SELECT ROUND(AVG(originalSize/1000000.0) / (compressionTimeZ/1000.0),5) +SELECT ROUND((AVG(compressionRatioZ) / AVG(compressionRatio))*100.0,5) FROM ArtemiaZSect WHERE compression = 'GZIP' AND level = 6 ) a, ( -SELECT ROUND(AVG(originalSize/1000000.0) / (compressionTimeZ/1000.0),5) +SELECT ROUND((AVG(compressionRatioZ) / AVG(compressionRatio))*100.0,5) FROM ArtemiaFlash WHERE compression = 'GZIP' AND level = 6 ) af, ( -SELECT ROUND(AVG(originalSize/1000000.0) / (compressionTimeZ/1000.0),5) +SELECT ROUND((AVG(compressionRatioZ) / AVG(compressionRatio))*100.0,5) FROM LlcEmeralCherry WHERE compression = 'GZIP' AND level = 6 ) llc, ( -SELECT ROUND(AVG(originalSize/1000000.0) / (compressionTimeZ/1000.0),5) +SELECT ROUND((AVG(compressionRatioZ) / AVG(compressionRatio))*100.0,5) FROM Bit16ZStack WHERE compression = 'GZIP' AND level = 6 -) b16; -*/ \ No newline at end of file +) b16; \ No newline at end of file diff --git a/document/document.pdf b/document/document.pdf index f5376cffc3047d0fccd65f26cdf0e5158ab5b242..95e2f082fe0381e67a482d610b76b45786d76273 100644 GIT binary patch delta 46945 zcmZs>bC4%N(=9x<ZQHhO+qSWzo%xMz+uE@`vt!$~ZR76q+%LX}d*Ay{MpjowS9Nyx 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\ifx\pgfmathresult\empty\else\pgfmathparse{\pgfmathresult-#1}\fi + }, + y filter/.append code={ + \ifx\pgfmathresult\empty\else\pgfmathparse{\pgfmathresult-#2}\fi + }, + xticklabel=\pgfmathparse{\tick+#1}\pgfmathprintnumber{\pgfmathresult}, + yticklabel=\pgfmathparse{\tick+#2}\pgfmathprintnumber{\pgfmathresult} + } +} \author{Moravec VojtÄ›ch} \title{Metody komprese bioinformatických dat pro pÅ™enos na HPC infrastrukturu} @@ -127,6 +139,12 @@ Nejprve uvedeme 3 metody, které se použÃvajà pro bezztrátovou kompresi dat NáslednÄ› popÃÅ¡eme kompresi \bThreed, která se pÅ™Ãmo zaměřuje na kompresi obrazů, zÃskaných z mikroskopů. Také zde prozkoumáme techniku pÅ™euspořádánà dat, která by mohla vést k lepÅ¡Ãm výsledkům komprese. +Komprese budou hodnoceny pomocà kompresnÃho pomÄ›ru, který je vypoÄten následovnÄ›: +\begin{equation*} + \text{kompresnà pomÄ›r} = \frac{\text{velikost dat}}{\text{velikost komprimovaných dat}} +\end{equation*} +\noindent žádoucà jsou tedy hodnoty vÄ›tÅ¡Ã než $1.0$. + \subsection{Standartnà metody} Standartnà metody, které zde uvedeme, jsou hojnÄ› využÃvány v nejrozÅ¡ÃÅ™eněšjÅ¡Ãch programech zabývajÃcà se bezztrátovou kompresÃ. Tyto metody jsou navrženy tak, @@ -239,14 +257,57 @@ druhé Äásti jsou chyby predikce zakódovány pomocà RLE a Huffmana. Bezztrátová komprese dosáhla kompresnÃho pomÄ›ru 2,7 kdežto ztrátová WNL komprese dosahuje kompresnÃho pomÄ›ru 5. Chyba lokalizace jediné molekuly v obrazu vstoupla pouze o 4\%. (Bylo testováno na datasetu zÃskaném pomocà Single-Molecule Localization Microscopy, rozliÅ¡enà 2-25 nm). +\newpage \subsection{Mortonovo kódovánÃ} -Mortonovo kódovánÃ, je způsob mapovánà multidimenzionálnÃch dat na jednodimenzionálnà data. Jedná se o pÅ™euspořádánà dat podle \emph{Z kÅ™ivky}, která jimi -procházÃ. \emph{Z kÅ™ivka} spadá do skupiny tzv. prostor vyplňujÃcÃch kÅ™Ãvek. Tyto kÅ™Ãvky obecnÄ› procházà každým bodem prostoru v $n$-dimenzionálnà hyperkrychli. +Mortonovo kódovánÃ, je způsob mapovánà multidimenzionálnÃch dat na jednodimenzionálnÃ. Jedná se o pÅ™euspořádánà dat podle \emph{Z kÅ™ivky}, která jimi +procházÃ. \emph{Z kÅ™ivka} spadá do skupiny tzv. prostor vyplňujÃcÃch kÅ™Ãvek, které obecnÄ› procházà každým bodem prostoru v $n$-dimenzionálnà hyperkrychli. Na Obrázků \ref{fig:zCurve} můžeme vidÄ›t jak probÃhá mapovánà 2D prostoru na 1D prostor, pro každý bod roviny je vypoÄtena $Z$ souÅ™adnice, -pomocà které následnÄ› seÅ™adÃme jednotlivé body. V naÅ¡em pÅ™ÃpadÄ› pomocà $Z$ souÅ™adnice pÅ™euspořádáme data obrazů. +pomocà které následnÄ› seÅ™adÃme jednotlivé body. $Z$ souÅ™adnice je vypoÄtena prolnutÃm bitů $X$-ové a $Y$-ové souÅ™adnice. +V naÅ¡em pÅ™ÃpadÄ› pomocà $Z$ souÅ™adnice pÅ™euspořádáme data obrazů. \image{0.5}{ZCurve.pdf}{fig:zCurve}{Mortonovo kódovánÃ} +\begin{tikzpicture} + \begin{axis}[ + ybar, + %xlabel = {}, + ylabel = {Procentualnà zmÄ›na kompresnÃho pomÄ›ru}, + axis line origin={0,100}, + width=0.8\linewidth, + symbolic x coords={{Artemia},{Artemia Flash}, {LLC Emerald}, {16 Bit Z Stack}}, + legend pos = outer north east, + x tick label style={ + rotate=90, + anchor=east, + }, + xtick=data, + nodes near coords, + every node near coord/.append style={rotate=90}, + ] + % gzip + \addplot coordinates { + ({Artemia},105.95400) + ({Artemia Flash},109.29308) + ({LLC Emerald},101.46799) + ({16 Bit Z Stack},101.15722) + }; + % lzma + \addplot coordinates { + ({Artemia},103.4885) + ({Artemia Flash},104.98964) + ({LLC Emerald},102.23146) + ({16 Bit Z Stack},101.92729) + }; + % bzip2 + \addplot coordinates { + ({Artemia},99.84425) + ({Artemia Flash},100.77455) + ({LLC Emerald},99.89707) + ({16 Bit Z Stack},98.90801) + }; + \legend{gzip,lzma,bzip2} + \end{axis} +\end{tikzpicture} \bibliography{citations} \bibliographystyle{ieeetr} diff --git a/document/figures/ZCurve.pdf b/document/figures/ZCurve.pdf index 498d390d4eef751b8e75e215d292eaf5ffd8058f..39777938ade06e687140eba262607e31e3e3782a 100644 GIT binary patch delta 7412 zcmZXXRZtvSo3$HlB)AjYJwQVPjYE(?a0%MD1$U>h;7)J|!QI{6oj`Dh;O-XY%s=&4 z&3tEHtXl7?=VI-u_hRoQ`5O5+1z4JbJsID-kn?L+mrUVuHr0)VTq%EmaI^kT_9(Kz z!cRE-7?~6a*#>gy4F|93sPl*yi?~u9eKNT`xJ;67_hO=)9<~*c*z?)hg++%@VTGUM zbn|}3Vy7{&`JFEXerj)V<myDHjJ)mM)^nk-`L(8>elJ36N`;y)S8{6|NU+k>Old3u z)7zv{sM>MtufF$Y^(yBKMShw}NBu_Jq!OxJR@Svo`Q5pg9h)lb$cE914V#udatR;6 zYWBh4&YRlQYH687sM87a(yZmSenYNZ(C_SGBl@ArWNEzP<E5#YVm`s;n*@V--+_K( zy+F|%#otIo$;27+#NK5lqp(sT0Mj6G`DA}4TCJ<Rl0`*?#%PIlM)z_9&UNv_gQpLL 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