Merged Madhu and Mainline branches.
--- a/day1/session1.tex Wed Oct 28 13:00:46 2009 +0530
+++ b/day1/session1.tex Wed Oct 28 13:06:58 2009 +0530
@@ -122,6 +122,64 @@
%% % You might wish to add the option [pausesections]
%% \end{frame}
+\begin{frame}
+ \frametitle{Workshop Schedule: Day 1}
+ \begin{description}
+ \item[Session 1] Sat 09:00--10:00
+ \item[Session 2] Sat 10:05--11:05
+ \item[Session 3] Sat 11:20--12:20
+ \item[Session 4] Sat 12:25--13:25
+ \item Quiz -1 Sat 14:25--14:40
+ \item[Session 5] Sat 14:40--15:40
+ \item[Session 6] Sat 15:55--16:55
+ \item Quiz -2 Sat 17:00--17:15
+ \end{description}
+
+ \begin{block}{Goal of the workshop}
+ At the end of this program, successful participants will be able to use python as their scripting and problem solving language. Aimed at Engg. students--focus on basic numerics and plotting-- but should serve a similar purpose for others.
+ \end{block}
+\end{frame}
+
+\begin{frame}
+ \frametitle{Workshop Schedule: Day 2}
+ \begin{description}
+ \item[Session 1] Sun 09:00--10:00
+ \item[Session 2] Sun 10:05--11:05
+ \item[Session 3] Sun 11:20--12:20
+ \item[Session 4] Sun 12:25--13:25
+ \item Quiz -1 Sun 14:25--14:40
+ \item[Session 5] Sun 14:40--15:40
+ \item[Session 6] Sun 15:55--16:55
+ \item Quiz -2 Sun 17:00--17:15
+ \end{description}
+
+\begin{frame}{About the Workshop}
+ \begin{block}{Intended Audience}
+ \begin{itemize}
+ \item Engg., Mathematics and Science teachers.
+ \item Interested students from similar streams.
+ \end{itemize}
+ \end{block}
+
+ \begin{block}{Goal:}
+ Successful participants will be able to
+ \begin{itemize}
+ \item use Python as their scripting and problem solving language.
+ \item train the students to use Python for the same
+ \end{itemize}
+ \end{block}
+\end{frame}
+
+\end{frame}
+\begin{frame}{Checklist}
+ \begin{block}{IPython}
+ Type ipython at the command line. Is it available?
+ \end{block}
+ \begin{block}{Editor}
+ We recommend scite.
+ \end{block}
+ \end{description}
+\end{frame}
\begin{frame}[fragile]
\frametitle{Starting up...}
--- a/day1/session2.tex Wed Oct 28 13:00:46 2009 +0530
+++ b/day1/session2.tex Wed Oct 28 13:06:58 2009 +0530
@@ -261,7 +261,7 @@
\end{frame}
\begin{frame}[fragile]
- \frametitle{List operations}
+\frametitle{List operations}
\begin{lstlisting}
In []: anthrlst = [6,7,8,9]
In []: lnglst = lst + anthrlst
@@ -279,12 +279,12 @@
\section{Simple Pendulum}
\begin{frame}[fragile]
\frametitle{Simple Pendulum - L and T}
-Let us look at a more realistic example of the Simple Pendulum experiment.
+Let us look at the example of the Simple Pendulum experiment.
\begin{center}
\begin{small}
\begin{tabular}{| c | c | c |}
\hline
-L & T & $T^2$ \\ \hline
+$L$ & $T$ & $T^2$ \\ \hline
0.1 & 0.6900 & \\ \hline
0.2 & 0.8989 & \\ \hline
0.3 & 1.1867 & \\ \hline
@@ -366,9 +366,6 @@
Lets look at the pendulum.txt file.
\begin{lstlisting}
$cat data/pendulum.txt
-\end{lstlisting}
-%%$
-\begin{lstlisting}
1.0000e-01 6.9004e-01
1.1000e-01 6.9497e-01
1.2000e-01 7.4252e-01
--- a/day1/session4.tex Wed Oct 28 13:00:46 2009 +0530
+++ b/day1/session4.tex Wed Oct 28 13:06:58 2009 +0530
@@ -96,13 +96,13 @@
\end{frame}
}
-%%\AtBeginSection[]
-%%{
- %%\begin{frame}<beamer>
-%% \frametitle{Outline}
- %% \tableofcontents[currentsection,currentsubsection]
- %%\end{frame}
-%%}
+\AtBeginSection[]
+{
+ \begin{frame}<beamer>
+ \frametitle{Outline}
+ \tableofcontents[currentsection,currentsubsection]
+ \end{frame}
+}
% If you wish to uncover everything in a step-wise fashion, uncomment
% the following command:
@@ -136,30 +136,73 @@
\begin{frame}[fragile]
\frametitle{Matrices: Initializing}
\begin{lstlisting}
- In []: a = matrix([[1,2,3],
- [4,5,6],
- [7,8,9]])
+In []: A = ([[5, 2, 4],
+ [-3, 6, 2],
+ [3, -3, 1]])
- In []: a
- Out[]:
- matrix([[1, 2, 3],
- [4, 5, 6],
- [7, 8, 9]])
+In []: A
+Out[]: [[5, 2, 4],
+ [-3, 6, 2],
+ [3, -3, 1]]
\end{lstlisting}
\end{frame}
\subsection{Basic Operations}
+
+\begin{frame}[fragile]
+\frametitle{Transpose of a Matrix}
+\begin{lstlisting}
+In []: linalg.transpose(A)
+Out[]:
+matrix([[ 5, -3, 3],
+ [ 2, 6, -3],
+ [ 4, 2, 1]])
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Sum of all elements}
+ \begin{lstlisting}
+In []: linalg.sum(A)
+Out[]: 17
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Matrix Addition}
+ \begin{lstlisting}
+In []: B = matrix([[3,2,-1],
+ [2,-2,4],
+ [-1, 0.5, -1]])
+
+In []: linalg.add(A, B)
+Out[]:
+matrix([[ 8. , 4. , 3. ],
+ [-1. , 4. , 6. ],
+ [ 2. , -2.5, 0. ]])
+ \end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Matrix Multiplication}
+\begin{lstlisting}
+In []: linalg.multiply(A, B)
+Out[]:
+matrix([[ 15. , 4. , -4. ],
+ [ -6. , -12. , 8. ],
+ [ -3. , -1.5, -1. ]])
+\end{lstlisting}
+\end{frame}
+
\begin{frame}[fragile]
\frametitle{Inverse of a Matrix}
-
\begin{small}
\begin{lstlisting}
In []: linalg.inv(A)
Out[]:
-matrix([[ 0.07734807, 0.01657459, 0.32044199],
- [ 0.09944751, -0.12154696, -0.01657459],
- [-0.02762431, -0.07734807, 0.17127072]])
-
+array([[ 0.28571429, -0.33333333, -0.47619048],
+ [ 0.21428571, -0.16666667, -0.52380952],
+ [-0.21428571, 0.5 , 0.85714286]])
\end{lstlisting}
\end{small}
\end{frame}
@@ -167,16 +210,8 @@
\begin{frame}[fragile]
\frametitle{Determinant}
\begin{lstlisting}
- In []: linalg.det(a)
- Out[]: -9.5171266700777579e-16
-\end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
-\frametitle{Computing Norms}
-\begin{lstlisting}
- In []: linalg.norm(a)
- Out[]: 16.881943016134134
+In []: det(A)
+Out[]: 42.0
\end{lstlisting}
\end{frame}
@@ -184,19 +219,41 @@
\frametitle{Eigen Values and Eigen Matrix}
\begin{small}
\begin{lstlisting}
- In []: linalg.eigvals(a)
- Out[]: array([1.61168440e+01, -1.11684397e+00, -1.22196337e-15])
-
- In []: linalg.eig(a)
- Out[]:
- (array([ 1.61168440e+01, -1.11684397e+00, -1.22196337e-15]),
- matrix([[-0.23197069, -0.78583024, 0.40824829],
- [-0.52532209, -0.08675134, -0.81649658],
- [-0.8186735 , 0.61232756, 0.40824829]]))
+In []: linalg.eig(A)
+Out[]:
+(array([ 7., 2., 3.]),
+ matrix([[-0.57735027, 0.42640143, 0.37139068],
+ [ 0.57735027, 0.63960215, 0.74278135],
+ [-0.57735027, -0.63960215, -0.55708601]]))
\end{lstlisting}
\end{small}
\end{frame}
+\begin{frame}[fragile]
+\frametitle{Computing Norms}
+\begin{lstlisting}
+ In []: linalg.norm(A)
+ Out[]: 10.63014581273465
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+ \frametitle{Single Value Decomposition}
+ \begin{small}
+ \begin{lstlisting}
+In []: linalg.svd(A)
+Out[]:
+(matrix([[-0.13391246, -0.94558684, -0.29653495],
+ [ 0.84641267, -0.26476432, 0.46204486],
+ [-0.51541542, -0.18911737, 0.83581192]]),
+ array([ 7.96445022, 7. , 0.75334767]),
+ matrix([[-0.59703387, 0.79815896, 0.08057807],
+ [-0.64299905, -0.41605821, -0.64299905],
+ [-0.47969029, -0.43570384, 0.7616163 ]]))
+ \end{lstlisting}
+ \end{small}
+\end{frame}
+
\section{Solving linear equations}
\begin{frame}[fragile]
@@ -219,7 +276,9 @@
\frametitle{Solving using Matrices}
Let us now look at how to solve this using \kwrd{matrices}
\begin{lstlisting}
- In []: A = matrix([[3,2,-1],[2,-2,4],[-1, 0.5, -1]])
+ In []: A = matrix([[3,2,-1],
+ [2,-2,4],
+ [-1, 0.5, -1]])
In []: b = matrix([[1], [-2], [0]])
In []: x = linalg.solve(A, b)
In []: Ax = dot(A, x)
@@ -245,13 +304,24 @@
\end{lstlisting}
\end{frame}
+\section{Summary}
\begin{frame}
- \frametitle{Things we have learned}
+ \frametitle{Summary}
+So what did we learn??
\begin{itemize}
- \item
- \item
+ \item Matrices
+ \begin{itemize}
+ \item Transpose
+ \item Addition
+ \item Multiplication
+ \item Inverse of a matrix
+ \item Determinant
+ \item Eigen values and Eigen matrix
+ \item Norms
+ \item Single Value Decomposition
+ \end{itemize}
+ \item Solving linear equations
\end{itemize}
\end{frame}
\end{document}
-
--- a/day2/3Dplotting.tex Wed Oct 28 13:00:46 2009 +0530
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,557 +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{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{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}
->>> 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{plotting 3-D Surface: $x^2+y^2-z^2=1$}
- \begin{lstlisting}
-u,v = mgrid[-2:2:100j, -pi:pi:100j]
-x=sqrt(u*u+1)*cos(v)
-y=sqrt(u*u+1)*sin(v)
-z=u
-mlab.mesh(x,y,z)
- \end{lstlisting}
-\begin{figure}
-\includegraphics[width=1in, height=1in, interpolate=true]{data/hyperboloid}
-\end{figure}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{mgrid}
- \begin{itemize}
- \item Creates a multidimensional ``meshgrid''
-
- \item In this particular case, creates 2 2D arrays: u,v.
- \end{itemize}
- \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]]])
- \end{lstlisting}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{mesh}
- \begin{itemize}
- \item Plots a surface from data supplied as 2D arrays.
- \end{itemize}
-\end{frame}
-
-\begin{frame}[fragile]
- \frametitle{\mlab\ plotting functions}
- \begin{columns}
- \column{0.25\textwidth}
- \myemph{Points in 3D space}
- \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{Connected points in 3D space}
- \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, y = 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}
-
-
-\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}
-
-\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}
-
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/day2/session3.tex Wed Oct 28 13:06:58 2009 +0530
@@ -0,0 +1,516 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% 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{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}
+>>> 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, y = 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}
+
+
+\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}
+
+\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}
+