day2/3Dplotting.tex
author Shantanu <shantanu@fossee.in>
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Tutorial slides on Python.
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%
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% Author: Prabhu Ramachandran <prabhu at aero.iitb.ac.in>
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% Copyright (c) 2005-2009, Prabhu Ramachandran
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\documentclass[compress,14pt]{beamer}
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% \documentclass[handout]{beamer}
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% \usepackage{pgfpages}
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% \pgfpagesuselayout{4 on 1}[a4paper,border, shrink=5mm,landscape]
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\usepackage{tikz}
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\newcommand{\hyperlinkmovie}{}
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%\usepackage{movie15}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Note that in presentation mode 
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% \paperwidth  364.19536pt
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% \paperheight 273.14662pt
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% h/w = 0.888
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\mode<presentation>
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{
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  \usetheme{Warsaw}
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  %\usetheme{Boadilla}
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  %\usetheme{default}
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  \useoutertheme{split}
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  \setbeamercovered{transparent}
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}
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% To remove navigation symbols
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\setbeamertemplate{navigation symbols}{}
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\usepackage{amsmath}
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\usepackage[english]{babel}
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\usepackage[latin1]{inputenc}
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\usepackage{times}
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\usepackage[T1]{fontenc}
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% Taken from Fernando's slides.
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\usepackage{ae,aecompl}
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\usepackage{mathpazo,courier,euler}
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\usepackage[scaled=.95]{helvet}
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\usepackage{pgf}
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\definecolor{darkgreen}{rgb}{0,0.5,0}
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\usepackage{listings}
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\lstset{language=Python,
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    basicstyle=\ttfamily\bfseries,
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    commentstyle=\color{red}\itshape,
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  stringstyle=\color{darkgreen},
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  showstringspaces=false,
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  keywordstyle=\color{blue}\bfseries}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% My Macros
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\setbeamercolor{postit}{bg=yellow,fg=black}
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\setbeamercolor{emphbar}{bg=blue!20, fg=black}
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\newcommand{\emphbar}[1]
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{\begin{beamercolorbox}[rounded=true]{emphbar} 
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      {#1}
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 \end{beamercolorbox}
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}
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%{\centerline{\fcolorbox{gray!50} {blue!10}{
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%\begin{minipage}{0.9\linewidth}
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%    {#1} 
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%\end{minipage}
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%    }}}
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\newcommand{\myemph}[1]{\structure{\emph{#1}}}
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\newcommand{\PythonCode}[1]{\lstinline{#1}}
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\newcommand{\tvtk}{\texttt{tvtk}}
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\newcommand{\mlab}{\texttt{mlab}}
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\newcounter{time}
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\setcounter{time}{0}
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\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\vspace*{0.1in}\tiny \thetime\ m}}
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\newcommand\BackgroundPicture[1]{%
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  \setbeamertemplate{background}{%
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      \parbox[c][\paperheight]{\paperwidth}{%
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      \vfill \hfill
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 \hfill \vfill
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}}}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Configuring the theme
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%\setbeamercolor{normal text}{fg=white}
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%\setbeamercolor{background canvas}{bg=black}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Title page
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\title[]{3D data Visualization}
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\author[FOSSEE Team] {FOSSEE}
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\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
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\date[] {1, November 2009\\Day 2, Session 3}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%\pgfdeclareimage[height=0.75cm]{iitblogo}{iitblogo}
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%\logo{\pgfuseimage{iitblogo}}
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\AtBeginSection[]
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{
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  \begin{frame}<beamer>
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    \frametitle{Outline}      
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    \tableofcontents[currentsection,currentsubsection]
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  \end{frame}
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}
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%% Delete this, if you do not want the table of contents to pop up at
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%% the beginning of each subsection:
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\AtBeginSubsection[]
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{
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  \begin{frame}<beamer>
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    \frametitle{Outline}
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    \tableofcontents[currentsection,currentsubsection]
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  \end{frame}
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}
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\AtBeginSection[]
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{
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  \begin{frame}<beamer>
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    \frametitle{Outline}
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    \tableofcontents[currentsection,currentsubsection]
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  \end{frame}
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}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% DOCUMENT STARTS
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\begin{document}
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\begin{frame}
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  \maketitle
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\end{frame}
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\begin{frame}
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  \frametitle{Outline}
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  \tableofcontents
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  % You might wish to add the option [pausesections]
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\end{frame}
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\section{3D Data Visualization}
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\begin{frame}
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    \frametitle{What is visualization?}
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    \Large
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    \begin{center}
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    Visual representation of data
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    \end{center}
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\end{frame}
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\begin{frame}
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    \frametitle{Is this new?}    
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    \begin{center}
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    We have moved from:
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    \end{center}
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    \begin{columns}
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    \column{}
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    \hspace*{-1in}    
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    \includegraphics[width=1.75in,height=1.75in, interpolate=true]{data/3832}      
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    \column{}\hspace*{-0.25in}
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    To
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    \column{}
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    \hspace*{-1in}
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    \includegraphics[width=1.75in, height=1.75in, interpolate=true]{data/torus}  
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    \end{columns}
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\end{frame}
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\begin{frame}
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    \frametitle{3D visualization}
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    \Large
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    \begin{center}
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        Harder but important
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    \end{center}
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\end{frame}
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\begin{frame}
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    \frametitle{Is this Graphics?}
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    \Large
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    \begin{center}
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        Visualization is about data!
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    \end{center}
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\end{frame}
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\begin{frame}
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    \frametitle{Examples: trajectory in space}
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    \Large
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    \begin{center}
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        \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex}
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    \end{center}
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\end{frame}
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\begin{frame}
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    \frametitle{Examples: Fire in a room}
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    \Large
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    \begin{center}
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        Demo of data
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    \end{center}
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\inctime{10}
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\end{frame}
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\section{Tools available}
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\subsection{mlab}
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\begin{frame}
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    {Overview}
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    \Large
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    \begin{itemize}
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        \item Simple
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        \item Convenient
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        \item Full-featured
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    \end{itemize}
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\end{frame}
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\begin{frame}[fragile]
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    \frametitle{Getting started}
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    \myemph{\Large Vanilla:}
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    \begin{lstlisting}[language=bash]
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        $ ipython -wthread
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    \end{lstlisting}
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    \myemph{\Large with Pylab:}
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    \begin{lstlisting}[language=bash]
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        $ ipython -pylab -wthread
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    \end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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    \frametitle{Using mlab}
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    \begin{lstlisting}
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>>> from enthought.mayavi import mlab
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    \end{lstlisting}
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    \vspace*{0.5in}
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    \myemph{\Large Try these}
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    \vspace*{0.25in}
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    \begin{lstlisting}
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>>> mlab.test_<TAB>
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>>> mlab.test_contour3d()
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>>> mlab.test_contour3d??
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    \end{lstlisting}
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\end{frame}
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\begin{frame}
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    {Exploring the view}
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    \begin{columns}
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        \column{0.6\textwidth}
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    \pgfimage[width=3in]{MEDIA/m2/contour3d}
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        \column{0.4\textwidth}
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        \begin{itemize}
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            \item Mouse
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            \item Keyboard
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            \item Toolbar
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            \item Mayavi icon\pgfimage[width=0.2in]{MEDIA/m2/m2_icon}
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        \end{itemize}
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    \end{columns}
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\end{frame}
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\begin{frame}[fragile]
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    \frametitle{plotting 3-D Surface: $x^2+y^2-z^2=1$}
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    \begin{lstlisting}
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u,v = mgrid[-2:2:100j, -pi:pi:100j]
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x=sqrt(u*u+1)*cos(v)
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y=sqrt(u*u+1)*sin(v)
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z=u
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mlab.mesh(x,y,z)
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    \end{lstlisting}
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\begin{figure}
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\includegraphics[width=1in, height=1in, interpolate=true]{data/hyperboloid}
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\end{figure}
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\end{frame}
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\begin{frame}[fragile]
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    \frametitle{mgrid}    
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    \begin{itemize}
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      \item Creates a multidimensional ``meshgrid''
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      \item In this particular case, creates 2 2D arrays: u,v.
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    \end{itemize}      
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    \begin{lstlisting}
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In []: mgrid[0:3,0:3]
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Out[]: 
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array([[[0, 0, 0],
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        [1, 1, 1],
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        [2, 2, 2]],
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       [[0, 1, 2],
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        [0, 1, 2],
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        [0, 1, 2]]])
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    \end{lstlisting}    
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\end{frame}
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\begin{frame}[fragile]
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    \frametitle{mesh}
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      \begin{itemize}
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        \item Plots a surface from data supplied as 2D arrays.
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      \end{itemize}      
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\end{frame}
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\begin{frame}[fragile]
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    \frametitle{\mlab\ plotting functions}
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    \begin{columns}
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        \column{0.25\textwidth}
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        \myemph{Points in 3D space}
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        \column{0.5\textwidth}
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    \pgfimage[width=2in]{MEDIA/m2/mlab/points3d_ex}
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    \end{columns}
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    \begin{lstlisting}
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>>> from numpy import *
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>>> t = linspace(0, 2*pi, 50)
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>>> u = cos(t)*pi
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>>> x, y, z = sin(u), cos(u), sin(t)
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    \end{lstlisting}
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    \emphbar{\PythonCode{>>> mlab.points3d(x, y, z)}}
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\end{frame}
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\begin{frame}
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  \begin{columns}
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        \column{0.25\textwidth}
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        \myemph{Connected points in 3D space}
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        \column{0.5\textwidth}
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        \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex}
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  \end{columns}
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  \emphbar{\PythonCode{>>> mlab.plot3d(x, y, z, t)}}
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    Plots lines between the points
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\end{frame}
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\begin{frame}[fragile]
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    \begin{columns}
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        \column{0.25\textwidth}
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        \myemph{\Large 2D data}
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        \column{0.5\textwidth}
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        \pgfimage[width=2in]{MEDIA/m2/mlab/surf_ex}
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    \end{columns}            
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    \begin{lstlisting}
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>>> x, y = mgrid[-3:3:100j,-3:3:100j]
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>>> z = sin(x*x + y*y)
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    \end{lstlisting}
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    \emphbar{\PythonCode{>>> mlab.surf(x, y, z)}}
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    \alert{Assumes the points are rectilinear}
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\end{frame}
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\begin{frame}[fragile]
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    \myemph{\Large 2D data: \texttt{mlab.mesh}}
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    \vspace*{0.25in}
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    \emphbar{\PythonCode{>>> mlab.mesh(x, y, z)}}
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    \alert{Points needn't be regular}
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    \vspace*{0.25in}
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\begin{lstlisting}
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>>> phi, theta = numpy.mgrid[0:pi:20j, 
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...                         0:2*pi:20j]
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>>> x = sin(phi)*cos(theta)
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>>> y = sin(phi)*sin(theta)
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>>> z = cos(phi)
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>>> mlab.mesh(x, y, z, 
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...           representation=
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...           'wireframe')
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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  \begin{columns}
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        \column{0.25\textwidth}
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        \myemph{\Large 3D data}
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        \column{0.5\textwidth}
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        \pgfimage[width=1.5in]{MEDIA/m2/mlab/contour3d}\\        
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    \end{columns}
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\begin{lstlisting}
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>>> x, y, z = ogrid[-5:5:64j, 
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...                -5:5:64j, 
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...                -5:5:64j]
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>>> mlab.contour3d(x*x*0.5 + y*y + 
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                   z*z*2)
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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    \myemph{\Large 3D vector data: \PythonCode{mlab.quiver3d}}
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    \vspace*{0.25in}
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    \pgfimage[width=2in]{MEDIA/m2/mlab/quiver3d_ex}\\
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\begin{lstlisting}
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>>> mlab.test_quiver3d()
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\end{lstlisting}
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\emphbar{\PythonCode{obj = mlab.quiver3d(x, y, z, u, v, w)}}
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\inctime{20}
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\end{frame}
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154
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diff changeset
   416
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   417
\subsection{Mayavi2}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   418
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   419
\begin{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   420
  \frametitle{Introduction to Mayavi}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   421
  \begin{itemize}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   422
  \item Most scientists not interested in details of visualization
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   423
  \item Visualization of data files with a nice UI
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   424
  \item Interactive visualization of data (think Matlab)
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   425
  \item Embedding visualizations in applications
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   426
  \item Customization
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   427
  \end{itemize}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   428
  \pause
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   429
  \begin{block}{The Goal}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   430
      Provide a \alert{flexible} library/app for every one of these needs!
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   431
  \end{block}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   432
\end{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   433
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   434
\begin{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   435
    {Overview of features}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   436
      \vspace*{-0.3in}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   437
  \begin{center}    
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   438
    \hspace*{-0.2in}\pgfimage[width=5in]{MEDIA/m2/m2_app3_3}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   439
  \end{center}    
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   440
\end{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   441
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   442
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   443
\begin{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   444
    \frametitle{Mayavi in applications}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   445
      \vspace*{-0.3in}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   446
  \begin{center}    
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   447
    \hspace*{-0.2in}\pgfimage[width=4.5in]{MEDIA/m2/m2_envisage}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   448
  \end{center}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   449
\end{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   450
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   451
\begin{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   452
    \frametitle{Live in your dialogs}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   453
      \vspace*{0.1in}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   454
  \begin{center}    
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   455
    \hspace*{-0.2in}\pgfimage[width=2.5in]{MEDIA/m2/mlab_tui}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   456
  \end{center}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   457
\end{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   458
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   459
\begin{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   460
    {Exploring the documentation}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   461
    \begin{center}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   462
    \pgfimage[width=4in]{MEDIA/m2/m2_ug_doc}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   463
    \end{center}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   464
\end{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   465
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   466
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   467
\begin{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   468
  \frametitle{Summary}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   469
      \begin{itemize}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   470
          \item \url{http://code.enthought.com/projects/mayavi}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   471
          \item Uses VTK (\url{www.vtk.org})
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   472
          \item BSD license
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   473
          \item Linux, win32 and Mac OS X
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   474
          \item Highly scriptable
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   475
          \item Embed in Traits UIs (wxPython and PyQt4)
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   476
          \item Envisage Plugins
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   477
          \item Debian/Ubuntu/Fedora
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   478
          \item \alert{Pythonic}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   479
      \end{itemize}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   480
    
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   481
      \inctime{10}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   482
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   483
\end{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   484
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   485
\begin{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   486
    {Getting hands dirty!}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   487
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   488
        \begin{block}{Motivational problem}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   489
        Atmospheric data of temperature over the surface of the earth.
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   490
        Let temperature ($T$) vary linearly with height ($z$):
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   491
        \begin{center}            
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   492
        $T = 288.15 - 6.5z$
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   493
        \end{center}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   494
        \end{block}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   495
\end{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   496
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   497
\begin{frame}[fragile]
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   498
    \frametitle{Simple solution}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   499
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   500
    \begin{lstlisting}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   501
lat = linspace(-89, 89, 37)
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   502
lon = linspace(0, 360, 37)
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   503
z = linspace(0, 100, 11)
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   504
    \end{lstlisting}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   505
\pause
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   506
    \begin{lstlisting}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   507
x, y, z = mgrid[0:360:37j,-89:89:37j,
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   508
                0:100:11j]
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   509
t = 288.15 - 6.5*z
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   510
mlab.contour3d(x, y, z, t)
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   511
mlab.outline()
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   512
mlab.colorbar()
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   513
    \end{lstlisting}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   514
\end{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   515
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   516
\begin{frame}[fragile]
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   517
    \frametitle{Exercise: Lorenz equation}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   518
    \begin{columns}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   519
        \column{0.25\textwidth}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   520
        \begin{eqnarray*}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   521
        \frac{d x}{dt} &=& s (y-x)\\
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   522
        \frac{d y}{d t} &=& rx -y -xz\\
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   523
        \frac{d z}{d t} &=& xy - bz\\
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   524
        \end{eqnarray*}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   525
        \column{0.25\textwidth}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   526
        Let $s=10,$
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   527
        $r=28,$ 
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   528
        $b=8./3.$
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   529
    \end{columns}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   530
    \structure{\Large Region of interest}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   531
  \begin{lstlisting}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   532
x, y, z = mgrid[-50:50:20j,-50:50:20j,
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   533
                -10:60:20j]
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   534
  \end{lstlisting}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   535
\inctime{20}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   536
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   537
\end{frame}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   538
\begin{frame}[fragile]
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   539
    \frametitle{Solution}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   540
  \begin{lstlisting}
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   541
def lorenz(x,y,z,s=10.,r=28.,b=8./3.):
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   542
    u = s*(y-x)
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   543
    v = r*x-y-x*z
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   544
    w = x*y-b*z
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   545
    return u,v,w
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   546
x,y,z = mgrid [-50:50:20j,-50:50:20j,
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   547
                    -10:60:20j ]
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   548
u,v,w = lorenz( x , y , z )
66b117b7edc7 Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff changeset
   549
# Your plot here
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#
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mlab.show()
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  \end{lstlisting}
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\end{frame}
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\end{document}
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