From 4c6f7c48497fdb2ff093291e69ac93399fff1bbc Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Vojt=C4=9Bch=20Moravec?= <theazgra@gmail.com>
Date: Sat, 2 Mar 2019 15:59:06 +0100
Subject: [PATCH] Morton coding image. More data to plot.

---
 document/data/LlcBZIP2ByFrame.csv | 209 +++++++
 document/data/LlcGzipByFrame.csv  | 208 +++++++
 document/data/LlcLZMAByFrame.csv  | 209 +++++++
 document/data/query.sql           |  27 +
 document/document.pdf             | Bin 217083 -> 227973 bytes
 document/document.tex             |  17 +-
 document/figures/ZCurve.pdf       | Bin 0 -> 9689 bytes
 document/figures/ZCurve.svg       | 945 ++++++++++++++++++++++++++++++
 8 files changed, 1610 insertions(+), 5 deletions(-)
 create mode 100644 document/data/LlcBZIP2ByFrame.csv
 create mode 100644 document/data/LlcGzipByFrame.csv
 create mode 100644 document/data/LlcLZMAByFrame.csv
 create mode 100644 document/data/query.sql
 create mode 100644 document/figures/ZCurve.pdf
 create mode 100644 document/figures/ZCurve.svg

diff --git a/document/data/LlcBZIP2ByFrame.csv b/document/data/LlcBZIP2ByFrame.csv
new file mode 100644
index 0000000..1c577a9
--- /dev/null
+++ b/document/data/LlcBZIP2ByFrame.csv
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diff --git a/document/data/LlcGzipByFrame.csv b/document/data/LlcGzipByFrame.csv
new file mode 100644
index 0000000..0fce87a
--- /dev/null
+++ b/document/data/LlcGzipByFrame.csv
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diff --git a/document/data/LlcLZMAByFrame.csv b/document/data/LlcLZMAByFrame.csv
new file mode 100644
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--- /dev/null
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diff --git a/document/data/query.sql b/document/data/query.sql
new file mode 100644
index 0000000..f92a6aa
--- /dev/null
+++ b/document/data/query.sql
@@ -0,0 +1,27 @@
+SELECT subblock, compressionRatio, compressionRatioZ
+FROM LlcEmeralCherry
+WHERE compression = 'BZIP2' AND level = 6
+
+/*
+SELECT * FROM
+(
+SELECT ROUND(AVG(originalSize/1000000.0) / (compressionTimeZ/1000.0),5)
+FROM ArtemiaZSect
+WHERE compression = 'GZIP' AND level = 6
+) a,
+(       
+SELECT ROUND(AVG(originalSize/1000000.0) / (compressionTimeZ/1000.0),5)
+FROM ArtemiaFlash
+WHERE compression = 'GZIP' AND level = 6
+) af,
+(
+SELECT ROUND(AVG(originalSize/1000000.0) / (compressionTimeZ/1000.0),5)
+FROM LlcEmeralCherry
+WHERE compression = 'GZIP' AND level = 6
+) llc,
+(
+SELECT ROUND(AVG(originalSize/1000000.0) / (compressionTimeZ/1000.0),5)
+FROM Bit16ZStack
+WHERE compression = 'GZIP' AND level = 6
+) b16;
+*/
\ No newline at end of file
diff --git a/document/document.pdf b/document/document.pdf
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diff --git a/document/document.tex b/document/document.tex
index 0e23388..8c6ec99 100644
--- a/document/document.tex
+++ b/document/document.tex
@@ -123,11 +123,9 @@ LZW, JPEG a JPEG-XR. Všechny tyto komprese jsou specifikací omezeny na 2D obra
 \newpage
 \section{Kompresní metody}
 V této sekci si popíšeme kompresní metody, které jsme vyzkoušeli na bioinformatických datech. 
-Nejprve uvedeme 3 metody, které se používají pro bezztrátovou kompresi dat všech druhů. Tyto 3 metody se stali \emph{de facto} standardem 
-pro bezztrátovou kompresi. Následně popíšeme kompresi \bThreed, která se přímo zaměřuje na kompresi obrazů, získaných z
-mikroskopů.
-
-\emph{TODO: Z ORDER}
+Nejprve uvedeme 3 metody, které se používají pro bezztrátovou kompresi dat všech druhů a se staly \emph{de facto} standardem. 
+Následně popíšeme kompresi \bThreed, která se přímo zaměřuje na kompresi obrazů, získaných z mikroskopů. 
+Také zde prozkoumáme techniku přeuspořádání dat, která by mohla vést k lepším výsledkům komprese.
 
 \subsection{Standartní metody}
 
@@ -241,6 +239,15 @@ druhé části jsou chyby predikce zakódovány pomocí RLE a Huffmana.
 
 Bezztrátová komprese dosáhla kompresního poměru 2,7 kdežto ztrátová WNL komprese dosahuje kompresního poměru 5. Chyba lokalizace jediné molekuly v obrazu vstoupla pouze o 4\%. (Bylo testováno na datasetu získaném pomocí Single-Molecule Localization Microscopy, rozlišení 2-25 nm).
 
+\subsection{Mortonovo kódování}
+Mortonovo kódování, je způsob mapování multidimenzionálních dat na jednodimenzionální data. Jedná se o přeuspořádání dat podle \emph{Z křivky}, která jimi
+prochází. \emph{Z křivka} spadá do skupiny tzv. prostor vyplňujících křívek. Tyto křívky obecně prochází každým bodem prostoru v $n$-dimenzionální hyperkrychli.
+Na Obrázků \ref{fig:zCurve} můžeme vidět jak probíhá mapování 2D prostoru na 1D prostor, pro každý bod roviny je vypočtena $Z$ souřadnice, 
+pomocí které následně seřadíme jednotlivé body. V našem případě pomocí $Z$ souřadnice přeuspořádáme data obrazů.
+
+\image{0.5}{ZCurve.pdf}{fig:zCurve}{Mortonovo kódování}
+
+
 \bibliography{citations}
 \bibliographystyle{ieeetr}
 
diff --git a/document/figures/ZCurve.pdf b/document/figures/ZCurve.pdf
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