--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/day2/3Dplotting.tex Fri Oct 23 10:35:10 2009 +0530
@@ -0,0 +1,497 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% 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{split}
+ \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 data Visualization}
+
+\author[FOSSEE Team] {FOSSEE}
+
+\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
+\date[] {1, November 2009\\Day 2, Session 3}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\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{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 at your disposal}
+
+\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 every one 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}
+
+\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}
+>>> from enthought.mayavi import mlab
+ \end{lstlisting}
+
+ \vspace*{0.5in}
+
+ \myemph{\Large Try these}
+
+ \vspace*{0.25in}
+
+ \begin{lstlisting}
+>>> mlab.test_<TAB>
+>>> mlab.test_contour3d()
+>>> 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}
+>>> from numpy import *
+>>> t = linspace(0, 2*pi, 50)
+>>> u = cos(t)*pi
+>>> x, y, z = sin(u), cos(u), sin(t)
+ \end{lstlisting}
+ \emphbar{\PythonCode{>>> 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{>>> 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}
+>>> x = mgrid[-3:3:100j,-3:3:100j]
+>>> z = sin(x*x + y*y)
+ \end{lstlisting}
+
+ \emphbar{\PythonCode{>>> mlab.surf(x, y, z)}}
+
+ \alert{Assumes the points are rectilinear}
+
+\end{frame}
+
+\begin{frame}[fragile]
+ \myemph{\Large 2D data: \texttt{mlab.mesh}}
+ \vspace*{0.25in}
+
+ \emphbar{\PythonCode{>>> mlab.mesh(x, y, z)}}
+
+ \alert{Points needn't be regular}
+
+ \vspace*{0.25in}
+\begin{lstlisting}
+>>> phi, theta = numpy.mgrid[0:pi:20j,
+... 0:2*pi:20j]
+>>> x = sin(phi)*cos(theta)
+>>> y = sin(phi)*sin(theta)
+>>> z = cos(phi)
+>>> 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}
+>>> x, y, z = ogrid[-5:5:64j,
+... -5:5:64j,
+... -5:5:64j]
+>>> 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}
+>>> mlab.test_quiver3d()
+\end{lstlisting}
+
+\emphbar{\PythonCode{obj = mlab.quiver3d(x, y, z, u, v, w)}}
+\inctime{20}
+\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}
+
+\end{document}
+