diff options
| -rw-r--r-- | day2/session6.tex | 558 |
1 files changed, 0 insertions, 558 deletions
diff --git a/day2/session6.tex b/day2/session6.tex deleted file mode 100644 index 70e66e5..0000000 --- a/day2/session6.tex +++ /dev/null @@ -1,558 +0,0 @@ -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Tutorial slides on Python. -% -% Author: Prabhu Ramachandran <prabhu at aero.iitb.ac.in> -% Copyright (c) 2005-2009, Prabhu Ramachandran -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\documentclass[compress,14pt]{beamer} -% \documentclass[handout]{beamer} -% \usepackage{pgfpages} -% \pgfpagesuselayout{4 on 1}[a4paper,border, shrink=5mm,landscape] -\usepackage{tikz} -\newcommand{\hyperlinkmovie}{} -%\usepackage{movie15} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Note that in presentation mode -% \paperwidth 364.19536pt -% \paperheight 273.14662pt -% h/w = 0.888 - - -\mode<presentation> -{ - \usetheme{Warsaw} - %\usetheme{Boadilla} - %\usetheme{default} - \useoutertheme{infolines} - \setbeamercovered{transparent} -} - -% To remove navigation symbols -\setbeamertemplate{navigation symbols}{} - -\usepackage{amsmath} -\usepackage[english]{babel} -\usepackage[latin1]{inputenc} -\usepackage{times} -\usepackage[T1]{fontenc} - -% Taken from Fernando's slides. -\usepackage{ae,aecompl} -\usepackage{mathpazo,courier,euler} -\usepackage[scaled=.95]{helvet} -\usepackage{pgf} - -\definecolor{darkgreen}{rgb}{0,0.5,0} - -\usepackage{listings} -\lstset{language=Python, - basicstyle=\ttfamily\bfseries, - commentstyle=\color{red}\itshape, - stringstyle=\color{darkgreen}, - showstringspaces=false, - keywordstyle=\color{blue}\bfseries} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% My Macros -\setbeamercolor{postit}{bg=yellow,fg=black} -\setbeamercolor{emphbar}{bg=blue!20, fg=black} -\newcommand{\emphbar}[1] -{\begin{beamercolorbox}[rounded=true]{emphbar} - {#1} - \end{beamercolorbox} -} -%{\centerline{\fcolorbox{gray!50} {blue!10}{ -%\begin{minipage}{0.9\linewidth} -% {#1} -%\end{minipage} -% }}} - -\newcommand{\myemph}[1]{\structure{\emph{#1}}} -\newcommand{\PythonCode}[1]{\lstinline{#1}} - -\newcommand{\tvtk}{\texttt{tvtk}} -\newcommand{\mlab}{\texttt{mlab}} - -\newcounter{time} -\setcounter{time}{0} -\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\vspace*{0.1in}\tiny \thetime\ m}} - -\newcommand\BackgroundPicture[1]{% - \setbeamertemplate{background}{% - \parbox[c][\paperheight]{\paperwidth}{% - \vfill \hfill - \hfill \vfill -}}} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Configuring the theme -%\setbeamercolor{normal text}{fg=white} -%\setbeamercolor{background canvas}{bg=black} - - - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% Title page -\title[3D Plotting]{3D data Visualization} - -\author[FOSSEE] {FOSSEE} - -\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay} -\date[] {8 November, 2009\\Day 2, Session 6} - -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -%\pgfdeclareimage[height=0.75cm]{iitblogo}{iitblogo} -%\logo{\pgfuseimage{iitblogo}} - -\AtBeginSection[] -{ - \begin{frame}<beamer> - \frametitle{Outline} - \tableofcontents[currentsection,currentsubsection] - \end{frame} -} - -%% Delete this, if you do not want the table of contents to pop up at -%% the beginning of each subsection: -\AtBeginSubsection[] -{ - \begin{frame}<beamer> - \frametitle{Outline} - \tableofcontents[currentsection,currentsubsection] - \end{frame} -} - -\AtBeginSection[] -{ - \begin{frame}<beamer> - \frametitle{Outline} - \tableofcontents[currentsection,currentsubsection] - \end{frame} -} -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -% DOCUMENT STARTS -\begin{document} - -\begin{frame} - \maketitle -\end{frame} - -\begin{frame} - \frametitle{Outline} - \tableofcontents - % You might wish to add the option [pausesections] -\end{frame} - -\section{3D Data Visualization} - -\begin{frame} - \frametitle{What is visualization?} - \Large - \begin{center} - Visual representation of data - \end{center} -\end{frame} - - -%% \begin{frame} -%% \frametitle{Is this new?} -%% \begin{center} -%% We have moved from: -%% \end{center} -%% \begin{columns} -%% \column{} -%% \hspace*{-1in} -%% \includegraphics[width=1.75in,height=1.75in, interpolate=true]{data/3832} -%% \column{}\hspace*{-0.25in} -%% To -%% \column{} -%% \hspace*{-1in} -%% \includegraphics[width=1.75in, height=1.75in, interpolate=true]{data/torus} -%% \end{columns} -%% \end{frame} - -\begin{frame} - \frametitle{3D visualization} - \Large - \begin{center} - Harder but important - \end{center} -\end{frame} - -\begin{frame} - \frametitle{Is this Graphics?} - \Large - \begin{center} - Visualization is about data! - \end{center} -\end{frame} - -\begin{frame} - \frametitle{Examples: trajectory in space} - \Large - \begin{center} - \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex} - \end{center} -\end{frame} - -\begin{frame} - \frametitle{Examples: Fire in a room} - \Large - \begin{center} - Demo of data - \end{center} -\inctime{10} -\end{frame} - -\section{Tools available} - -\subsection{mlab} - -\begin{frame} - {Overview} - \Large - \begin{itemize} - \item Simple - \item Convenient - \item Full-featured - \end{itemize} -\end{frame} - -\begin{frame}[fragile] - - \frametitle{Getting started} - \myemph{\Large Vanilla:} - \begin{lstlisting}[language=bash] - $ ipython -wthread - \end{lstlisting} - \myemph{\Large with Pylab:} - \begin{lstlisting}[language=bash] - $ ipython -pylab -wthread - \end{lstlisting} -\end{frame} - -\begin{frame}[fragile] - \frametitle{Using mlab} - - \begin{lstlisting} -In []:from enthought.mayavi import mlab - \end{lstlisting} - - \vspace*{0.5in} - - \myemph{\Large Try these} - - \vspace*{0.25in} - - \begin{lstlisting} -In []: mlab.test_<TAB> -In []: mlab.test_contour3d() -In []: mlab.test_contour3d?? - \end{lstlisting} -\end{frame} - -\begin{frame} - {Exploring the view} - \begin{columns} - \column{0.6\textwidth} - \pgfimage[width=3in]{MEDIA/m2/contour3d} - \column{0.4\textwidth} - \begin{itemize} - \item Mouse - \item Keyboard - \item Toolbar - \item Mayavi icon\pgfimage[width=0.2in]{MEDIA/m2/m2_icon} - \end{itemize} - \end{columns} -\end{frame} - -\begin{frame}[fragile] - \frametitle{\mlab\ plotting functions} - \begin{columns} - \column{0.25\textwidth} - \myemph{\Large 0D data} - \column{0.5\textwidth} - \pgfimage[width=2in]{MEDIA/m2/mlab/points3d_ex} - \end{columns} - - \begin{lstlisting} -In []: t = linspace(0, 2*pi, 50) -In []: u = cos(t) * pi -In []: x, y, z = sin(u), cos(u), sin(t) - \end{lstlisting} - \emphbar{\PythonCode{In []: mlab.points3d(x, y, z)}} -\end{frame} - -\begin{frame} - \begin{columns} - \column{0.25\textwidth} - \myemph{\Large 1D data} - \column{0.5\textwidth} - \pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex} - \end{columns} - \emphbar{\PythonCode{In []: mlab.plot3d(x, y, z, t)}} - - Plots lines between the points - -\end{frame} - -\begin{frame}[fragile] - \begin{columns} - \column{0.25\textwidth} - \myemph{\Large 2D data} - \column{0.5\textwidth} - \pgfimage[width=2in]{MEDIA/m2/mlab/surf_ex} - \end{columns} - \begin{lstlisting} -In []: x, y = mgrid[-3:3:100j,-3:3:100j] -In []: z = sin(x*x + y*y) - \end{lstlisting} - - \emphbar{\PythonCode{In []: mlab.surf(x, y, z)}} - - \alert{Assumes the points are rectilinear} - -\end{frame} - -\begin{frame}[fragile] - \frametitle{mgrid} - \begin{lstlisting} -In []: mgrid[0:3,0:3] -Out[]: -array([[[0, 0, 0], - [1, 1, 1], - [2, 2, 2]], - - [[0, 1, 2], - [0, 1, 2], - [0, 1, 2]]]) - -In []: mgrid[-1:1:5j] -Out[]: array([-1., -0.5, 0., 0.5, 1.]) -\end{lstlisting} -\end{frame} - -\begin{frame}[fragile] - \frametitle{Example} - \begin{lstlisting} -In []: x, y = mgrid[-1:1:5j, -1:1:5j] -In []: z = x*x + y*y - -In []: z -Out[]: -array([[ 2. , 1.25, 1. , 1.25, 2. ], - [ 1.25, 0.5 , 0.25, 0.5 , 1.25], - [ 1. , 0.25, 0. , 0.25, 1. ], - [ 1.25, 0.5 , 0.25, 0.5 , 1.25], - [ 2. , 1.25, 1. , 1.25, 2. ]]) -\end{lstlisting} -\end{frame} - -\begin{frame}[fragile] - \myemph{\Large 2D data: \texttt{mlab.mesh}} - \vspace*{0.25in} - - \emphbar{\PythonCode{In []: mlab.mesh(x, y, z)}} - - \alert{Points needn't be regular} - - \vspace*{0.25in} -\begin{lstlisting} -In []: phi, theta = mgrid[0:pi:20j, -... 0:2*pi:20j] -In []: x = sin(phi)*cos(theta) -In []: y = sin(phi)*sin(theta) -In []: z = cos(phi) -In []: mlab.mesh(x, y, z, -... representation= -... 'wireframe') -\end{lstlisting} - -\end{frame} - -\begin{frame}[fragile] - - \begin{columns} - \column{0.25\textwidth} - \myemph{\Large 3D data} - \column{0.5\textwidth} - \pgfimage[width=1.5in]{MEDIA/m2/mlab/contour3d}\\ - \end{columns} -\begin{lstlisting} -In []: x, y, z = mgrid[-5:5:64j, -... -5:5:64j, -... -5:5:64j] -In []: mlab.contour3d(x*x*0.5 + y*y + - z*z*2) -\end{lstlisting} -\end{frame} - -\begin{frame}[fragile] - - \myemph{\Large 3D vector data: \PythonCode{mlab.quiver3d}} - \vspace*{0.25in} - - \pgfimage[width=2in]{MEDIA/m2/mlab/quiver3d_ex}\\ - -\begin{lstlisting} -In []: mlab.test_quiver3d() -\end{lstlisting} - -\emphbar{\PythonCode{obj = mlab.quiver3d(x, y, z, u, v, w)}} -\inctime{20} -\end{frame} - - -\subsection{Mayavi2} - -\begin{frame} - \frametitle{Introduction to Mayavi} - \begin{itemize} - \item Most scientists not interested in details of visualization - \item Visualization of data files with a nice UI - \item Interactive visualization of data (think Matlab) - \item Embedding visualizations in applications - \item Customization - \end{itemize} - \pause - \begin{block}{The Goal} - Provide a \alert{flexible} library/app for all of these needs! - \end{block} -\end{frame} - -\begin{frame} - {Overview of features} - \vspace*{-0.3in} - \begin{center} - \hspace*{-0.2in}\pgfimage[width=5in]{MEDIA/m2/m2_app3_3} - \end{center} -\end{frame} - - -\begin{frame} - \frametitle{Mayavi in applications} - \vspace*{-0.3in} - \begin{center} - \hspace*{-0.2in}\pgfimage[width=4.5in]{MEDIA/m2/m2_envisage} - \end{center} -\end{frame} - -\begin{frame} - \frametitle{Live in your dialogs} - \vspace*{0.1in} - \begin{center} - \hspace*{-0.2in}\pgfimage[width=2.5in]{MEDIA/m2/mlab_tui} - \end{center} -\end{frame} - -\begin{frame} - {Exploring the documentation} - \begin{center} - \pgfimage[width=4in]{MEDIA/m2/m2_ug_doc} - \end{center} -\end{frame} - - -\begin{frame} - \frametitle{Summary} - \begin{itemize} - \item \url{http://code.enthought.com/projects/mayavi} - \item Uses VTK (\url{www.vtk.org}) - \item BSD license - \item Linux, win32 and Mac OS X - \item Highly scriptable - \item Embed in Traits UIs (wxPython and PyQt4) - \item Envisage Plugins - \item Debian/Ubuntu/Fedora - \item \alert{Pythonic} - \end{itemize} - - \inctime{10} - -\end{frame} - -\begin{frame} - {Getting hands dirty!} - - \begin{block}{Motivational problem} - Atmospheric data of temperature over the surface of the earth. - Let temperature ($T$) vary linearly with height ($z$): - \begin{center} - $T = 288.15 - 6.5z$ - \end{center} - \end{block} -\end{frame} - -\begin{frame}[fragile] - \frametitle{Simple solution} - - \begin{lstlisting} -lat = linspace(-89, 89, 37) -lon = linspace(0, 360, 37) -z = linspace(0, 100, 11) - \end{lstlisting} -\pause - \begin{lstlisting} -x, y, z = mgrid[0:360:37j,-89:89:37j, - 0:100:11j] -t = 288.15 - 6.5*z -mlab.contour3d(x, y, z, t) -mlab.outline() -mlab.colorbar() - \end{lstlisting} -\end{frame} - -\begin{frame}[fragile] - \frametitle{Exercise: Lorenz equation} - \begin{columns} - \column{0.25\textwidth} - \begin{eqnarray*} - \frac{d x}{dt} &=& s (y-x)\\ - \frac{d y}{d t} &=& rx -y -xz\\ - \frac{d z}{d t} &=& xy - bz\\ - \end{eqnarray*} - \column{0.25\textwidth} - Let $s=10,$ - $r=28,$ - $b=8./3.$ - \end{columns} - \structure{\Large Region of interest} - \begin{lstlisting} -x, y, z = mgrid[-50:50:20j,-50:50:20j, - -10:60:20j] - \end{lstlisting} -\inctime{20} - -\end{frame} -\begin{frame}[fragile] - \frametitle{Solution} - \begin{lstlisting} -def lorenz(x,y,z,s=10.,r=28.,b=8./3.): - u = s*(y-x) - v = r*x-y-x*z - w = x*y-b*z - return u,v,w -x,y,z = mgrid [-50:50:20j,-50:50:20j, - -10:60:20j ] -u,v,w = lorenz( x , y , z ) -# Your plot here -# -mlab.show() - - \end{lstlisting} -\end{frame} - -\begin{frame} - \frametitle{We have covered:} - \begin{itemize} - \item Need of visualization. - \item Using mlab to create 3 D plots. - \item Mayavi Toolkit. - \end{itemize} -\end{frame} - -\end{document} - |