From f1de4e3f4bfc68caaa1a33203eab1dd8ebb0590f Mon Sep 17 00:00:00 2001 From: Shantanu Date: Fri, 23 Oct 2009 10:35:10 +0530 Subject: Added slides for 3D data visualization session 3 day 2. --- day2/3Dplotting.tex | 497 ++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 497 insertions(+) create mode 100644 day2/3Dplotting.tex diff --git a/day2/3Dplotting.tex b/day2/3Dplotting.tex new file mode 100644 index 0000000..0547608 --- /dev/null +++ b/day2/3Dplotting.tex @@ -0,0 +1,497 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% Tutorial slides on Python. +% +% Author: Prabhu Ramachandran +% 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 +{ + \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} + \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} + \frametitle{Outline} + \tableofcontents[currentsection,currentsubsection] + \end{frame} +} + +\AtBeginSection[] +{ + \begin{frame} + \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_ +>>> 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} + -- cgit