author | Santosh G. Vattam <vattam.santosh@gmail.com> |
Fri, 23 Oct 2009 17:12:25 +0530 | |
changeset 159 | 01f57cda252f |
parent 154 | 66b117b7edc7 |
child 171 | 29c0c504750c |
permissions | -rw-r--r-- |
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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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% 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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{#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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\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{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 at your disposal} |
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\subsection{Mayavi2} |
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|
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\begin{frame} |
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\frametitle{Introduction to Mayavi} |
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\begin{itemize} |
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\item Most scientists not interested in details of visualization |
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\item Visualization of data files with a nice UI |
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\item Interactive visualization of data (think Matlab) |
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\item Embedding visualizations in applications |
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\item Customization |
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\end{itemize} |
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\pause |
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\begin{block}{The Goal} |
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Provide a \alert{flexible} library/app for every one of these needs! |
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\end{block} |
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\end{frame} |
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|
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\begin{frame} |
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{Overview of features} |
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\vspace*{-0.3in} |
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\begin{center} |
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\hspace*{-0.2in}\pgfimage[width=5in]{MEDIA/m2/m2_app3_3} |
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\end{center} |
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\end{frame} |
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|
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\begin{frame} |
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\frametitle{Mayavi in applications} |
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\vspace*{-0.3in} |
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\begin{center} |
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\hspace*{-0.2in}\pgfimage[width=4.5in]{MEDIA/m2/m2_envisage} |
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\end{center} |
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\end{frame} |
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|
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\begin{frame} |
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\frametitle{Live in your dialogs} |
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\vspace*{0.1in} |
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\begin{center} |
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\hspace*{-0.2in}\pgfimage[width=2.5in]{MEDIA/m2/mlab_tui} |
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\end{center} |
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\end{frame} |
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|
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\begin{frame} |
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{Exploring the documentation} |
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\begin{center} |
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\pgfimage[width=4in]{MEDIA/m2/m2_ug_doc} |
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\end{center} |
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\end{frame} |
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|
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\begin{frame} |
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\frametitle{Summary} |
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\begin{itemize} |
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\item \url{http://code.enthought.com/projects/mayavi} |
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\item Uses VTK (\url{www.vtk.org}) |
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\item BSD license |
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\item Linux, win32 and Mac OS X |
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\item Highly scriptable |
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\item Embed in Traits UIs (wxPython and PyQt4) |
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\item Envisage Plugins |
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\item Debian/Ubuntu/Fedora |
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\item \alert{Pythonic} |
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\end{itemize} |
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|
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\inctime{10} |
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|
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\end{frame} |
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|
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\subsection{mlab} |
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|
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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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|
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\begin{frame}[fragile] |
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|
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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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|
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\begin{frame}[fragile] |
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\frametitle{Using mlab} |
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|
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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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|
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\vspace*{0.5in} |
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|
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\myemph{\Large Try these} |
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|
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\vspace*{0.25in} |
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|
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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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304 |
\end{lstlisting} |
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305 |
\end{frame} |
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|
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307 |
\begin{frame} |
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308 |
{Exploring the view} |
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309 |
\begin{columns} |
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310 |
\column{0.6\textwidth} |
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311 |
\pgfimage[width=3in]{MEDIA/m2/contour3d} |
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312 |
\column{0.4\textwidth} |
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313 |
\begin{itemize} |
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314 |
\item Mouse |
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315 |
\item Keyboard |
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316 |
\item Toolbar |
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317 |
\item Mayavi icon\pgfimage[width=0.2in]{MEDIA/m2/m2_icon} |
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318 |
\end{itemize} |
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319 |
\end{columns} |
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320 |
\end{frame} |
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321 |
|
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322 |
\begin{frame}[fragile] |
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323 |
\frametitle{\mlab\ plotting functions} |
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324 |
\begin{columns} |
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325 |
\column{0.25\textwidth} |
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326 |
\myemph{\Large 0D data} |
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327 |
\column{0.5\textwidth} |
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328 |
\pgfimage[width=2in]{MEDIA/m2/mlab/points3d_ex} |
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329 |
\end{columns} |
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330 |
|
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parents:
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331 |
\begin{lstlisting} |
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332 |
>>> from numpy import * |
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333 |
>>> t = linspace(0, 2*pi, 50) |
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334 |
>>> u = cos(t)*pi |
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335 |
>>> x, y, z = sin(u), cos(u), sin(t) |
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336 |
\end{lstlisting} |
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337 |
\emphbar{\PythonCode{>>> mlab.points3d(x, y, z)}} |
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338 |
\end{frame} |
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339 |
|
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340 |
\begin{frame} |
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341 |
\begin{columns} |
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342 |
\column{0.25\textwidth} |
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343 |
\myemph{\Large 1D data} |
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344 |
\column{0.5\textwidth} |
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345 |
\pgfimage[width=2.5in]{MEDIA/m2/mlab/plot3d_ex} |
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346 |
\end{columns} |
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347 |
\emphbar{\PythonCode{>>> mlab.plot3d(x, y, z, t)}} |
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348 |
|
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349 |
Plots lines between the points |
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350 |
|
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|
351 |
\end{frame} |
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352 |
|
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353 |
\begin{frame}[fragile] |
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354 |
\begin{columns} |
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355 |
\column{0.25\textwidth} |
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356 |
\myemph{\Large 2D data} |
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357 |
\column{0.5\textwidth} |
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358 |
\pgfimage[width=2in]{MEDIA/m2/mlab/surf_ex} |
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359 |
\end{columns} |
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Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
360 |
\begin{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
361 |
>>> x = mgrid[-3:3:100j,-3:3:100j] |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
362 |
>>> z = sin(x*x + y*y) |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
363 |
\end{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
364 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
365 |
\emphbar{\PythonCode{>>> mlab.surf(x, y, z)}} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
366 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
367 |
\alert{Assumes the points are rectilinear} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
368 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
369 |
\end{frame} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
370 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
371 |
\begin{frame}[fragile] |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
372 |
\myemph{\Large 2D data: \texttt{mlab.mesh}} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
373 |
\vspace*{0.25in} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
374 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
375 |
\emphbar{\PythonCode{>>> mlab.mesh(x, y, z)}} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
376 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
377 |
\alert{Points needn't be regular} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
378 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
379 |
\vspace*{0.25in} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
380 |
\begin{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
381 |
>>> phi, theta = numpy.mgrid[0:pi:20j, |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
382 |
... 0:2*pi:20j] |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
383 |
>>> x = sin(phi)*cos(theta) |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
384 |
>>> y = sin(phi)*sin(theta) |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
385 |
>>> z = cos(phi) |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
386 |
>>> mlab.mesh(x, y, z, |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
387 |
... representation= |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
388 |
... 'wireframe') |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
389 |
\end{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
390 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
391 |
\end{frame} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
392 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
393 |
\begin{frame}[fragile] |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
394 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
395 |
\begin{columns} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
396 |
\column{0.25\textwidth} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
397 |
\myemph{\Large 3D data} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
398 |
\column{0.5\textwidth} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
399 |
\pgfimage[width=1.5in]{MEDIA/m2/mlab/contour3d}\\ |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
400 |
\end{columns} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
401 |
\begin{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
402 |
>>> x, y, z = ogrid[-5:5:64j, |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
403 |
... -5:5:64j, |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
404 |
... -5:5:64j] |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
405 |
>>> mlab.contour3d(x*x*0.5 + y*y + |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
406 |
z*z*2) |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
407 |
\end{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
408 |
\end{frame} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
409 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
410 |
\begin{frame}[fragile] |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
411 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
412 |
\myemph{\Large 3D vector data: \PythonCode{mlab.quiver3d}} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
413 |
\vspace*{0.25in} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
414 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
415 |
\pgfimage[width=2in]{MEDIA/m2/mlab/quiver3d_ex}\\ |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
416 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
417 |
\begin{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
418 |
>>> mlab.test_quiver3d() |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
419 |
\end{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
420 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
421 |
\emphbar{\PythonCode{obj = mlab.quiver3d(x, y, z, u, v, w)}} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
422 |
\inctime{20} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
423 |
\end{frame} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
424 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
425 |
\begin{frame} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
426 |
{Getting hands dirty!} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
427 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
428 |
\begin{block}{Motivational problem} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
429 |
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
|
430 |
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
|
431 |
\begin{center} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
432 |
$T = 288.15 - 6.5z$ |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
433 |
\end{center} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
434 |
\end{block} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
435 |
\end{frame} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
436 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
437 |
\begin{frame}[fragile] |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
438 |
\frametitle{Simple solution} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
439 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
440 |
\begin{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
441 |
lat = linspace(-89, 89, 37) |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
442 |
lon = linspace(0, 360, 37) |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
443 |
z = linspace(0, 100, 11) |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
444 |
\end{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
445 |
\pause |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
446 |
\begin{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
447 |
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
|
448 |
0:100:11j] |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
449 |
t = 288.15 - 6.5*z |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
450 |
mlab.contour3d(x, y, z, t) |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
451 |
mlab.outline() |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
452 |
mlab.colorbar() |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
453 |
\end{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
454 |
\end{frame} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
455 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
456 |
\begin{frame}[fragile] |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
457 |
\frametitle{Exercise: Lorenz equation} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
458 |
\begin{columns} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
459 |
\column{0.25\textwidth} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
460 |
\begin{eqnarray*} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
461 |
\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
|
462 |
\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
|
463 |
\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
|
464 |
\end{eqnarray*} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
465 |
\column{0.25\textwidth} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
466 |
Let $s=10,$ |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
467 |
$r=28,$ |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
468 |
$b=8./3.$ |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
469 |
\end{columns} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
470 |
\structure{\Large Region of interest} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
471 |
\begin{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
472 |
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
|
473 |
-10:60:20j] |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
474 |
\end{lstlisting} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
475 |
\inctime{20} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
476 |
|
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
parents:
diff
changeset
|
477 |
\end{frame} |
66b117b7edc7
Added slides for 3D data visualization session 3 day 2.
Shantanu <shantanu@fossee.in>
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\begin{frame}[fragile] |
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\frametitle{Solution} |
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\begin{lstlisting} |
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def lorenz(x,y,z,s=10.,r=28.,b=8./3.): |
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parents:
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u = s*(y-x) |
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parents:
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v = r*x-y-x*z |
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parents:
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w = x*y-b*z |
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parents:
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return u,v,w |
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x,y,z = mgrid [-50:50:20j,-50:50:20j, |
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parents:
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-10:60:20j ] |
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parents:
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u,v,w = lorenz( x , y , z ) |
66b117b7edc7
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parents:
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# Your plot here |
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parents:
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# |
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parents:
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mlab.show() |
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|
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\end{lstlisting} |
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\end{frame} |
66b117b7edc7
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parents:
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495 |
|
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\end{document} |
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