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-11,6 +11,8 @@ \usepackage{amsmath} \usepackage{amssymb} \usepackage{graphicx} +\usepackage{tikz} +\usepackage{pgfplots} \usepackage{dirtytalk} \usepackage{siunitx} @@ -21,6 +23,16 @@ \newcommand{\image}[4]{\begin{figure}[h!] \centering \includegraphics[width=#1\linewidth]{figures/#2} \caption{#4} \label{#3} \end{figure}} \newcommand{\bThreed}{B$^3$D } +\pgfplotsset{ + compat=1.5, + width=7cm, + /pgfplots/ybar legend/.style={ + /pgfplots/legend image code/.code={% + \draw[##1,/tikz/.cd,yshift=-0.25em] + (0cm,0cm) rectangle (3pt,0.8em);}, + } +} + \author{Moravec VojtÄ›ch} \title{Metody komprese bioinformatických dat pro pÅ™enos na HPC infrastrukturu} \date{2018/2019} @@ -115,6 +127,8 @@ Nejprve uvedeme 3 metody, které se použÃvajà pro bezztrátovou kompresi dat pro bezztrátovou kompresi. NáslednÄ› popÃÅ¡eme kompresi \bThreed, která se pÅ™Ãmo zaměřuje na kompresi obrazů, zÃskaných z mikroskopů. +\emph{TODO: Z ORDER} + \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, @@ -130,7 +144,80 @@ LZMA algoritmus kombinuje vÃce druhů algoritmů, LZ77 \cite{LZ77}, aritmetick TÅ™età algoritmem je bzip2, stejnÄ› jako LZMA využÃvá vÃce metod, Run-Length kódovánÃ, Huffmanovo kódovánà a Block-Sorting kompresi \cite{block_sorting}. -Z tÄ›chto třà uvedených, slibuje LZMA nejvÄ›tšà kompresnà pomÄ›r. +V následujÃcÃch grafech porovnáme uvedené 3 metody. VÅ¡echny 3 algoritmy dovolujà nastavit urÄitou úroveň komprese, obecnÄ› platÃ, že vetšà úroveň znamená +vyššà kompresnà pomÄ›r, ale také vÄ›tšà paměťové a Äasové nároky. Né vždy je tedy nejlepÅ¡Ãm Å™eÅ¡enÃm použÃt maximálnà úroveň, obvykle 9. +NásledujÃcà testy byly provedeny nad CZI souborem, který obsahoval 39 Å™ezů žabronožky, Å™ez je uložen v obrazu $1388 \times 1040$ pixelů, kde typ pixelu je Gray16, +tedy 2 byty pro každý pixel, rozmezà hodnot $0 - 65535$. + +\begin{figure}[h!] + \centering + % \pgfplotsset{scaled x ticks=false} + \begin{tikzpicture} + \begin{axis}[ + width=0.8\linewidth, + xlabel = {Úroveň komprese}, + ylabel = {Kompresnà pomÄ›r}, + domain=1:9, + legend entries = {gzip, lzma, bzip2}, + legend pos = outer north east, + ymin=2, ymax=4, + ] + \addplot[red, thick] table{data/artemia_gzip_level.dat}; + \addplot[blue, thick] table{data/artemia_lzma_level.dat}; + \addplot[green, thick] table{data/artemia_bzip2_level.dat}; + \end{axis} + \end{tikzpicture} + \caption{PrůmÄ›rný kompresnà pomÄ›r pro jednotlivé úrovnÄ›} + \label{fig:comp_level_comp} +\end{figure} + +Na Obrázku \ref{fig:comp_level_comp} vidÃme, že pro metody gzip a bzip2 nehraje kompresnà úroveň velkou roli a naopak lzma algoritmus vydává lepšà +výsledky od úrovnÄ› 5. Také vidÃme, že pro kompresi daných snÃmků žabronožky je nejlepšà metoda gzip. Uvedené kompresnà pomÄ›ry jsou průmÄ›rem pÅ™es +vÅ¡echn 39 Å™ezů. Na následujÃcÃm Obrázku \ref{fig:more_files_comp} si porovnáme algoritmy na vÃce souborech, uvedené kompresnà pomÄ›ry jsou průmÄ›rem pÅ™es +vÅ¡echny snÃmky v souboru a kompresnà úroveň 6. + +\begin{figure}[h!] + \centering + \begin{tikzpicture} + \begin{axis}[ + width=0.8\linewidth, + height=0.55\linewidth, + xbar, + enlargelimits=0.25, + ytick = data, + xlabel={Kompresnà pomÄ›r}, + legend pos = outer north east, + symbolic y coords={{Artemia},{Artemia Flash}, {LLC Emerald}, {16 Bit Z Stack}}, + nodes near coords, + ] + % gzip + \addplot coordinates { + (2.67797,{Artemia}) + (1.84856,{Artemia Flash}) + (1.40943,{LLC Emerald}) + (1.47818,{16 Bit Z Stack}) + }; + % lzma + \addplot coordinates { + (3.46118,{Artemia}) + (2.3531,{Artemia Flash}) + (1.64554,{LLC Emerald}) + (1.80586,{16 Bit Z Stack}) + }; + % bzip2 + \addplot coordinates { + (3.62971,{Artemia}) + (2.47042,{Artemia Flash}) + (1.72,{LLC Emerald}) + (1.90709,{16 Bit Z Stack}) + }; + \legend{gzip,lzma,bzip2} + \end{axis} + \end{tikzpicture} + \caption{Srovnánà kompresà mezi vÃce soubory, úroveň komprese 6} + \label{fig:more_files_comp} +\end{figure} + \subsection{Komprese obrazů z mikroskopu, knihovna \bThreed} Tato sekce vycházà z \cite{Balazs164624}, taktéž grafy jsou pÅ™ebrány z této práce. -- GitLab