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ODFAnalysis.html
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<!DOCTYPE html
PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN">
<html xmlns:mwsh="http://www.mathworks.com/namespace/mcode/v1/syntaxhighlight.dtd">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<title>ODFs (DocHelp Toolbox)
</title>
<!-- DOCNAME: DocHelp Toolbox -->
<meta name="chunktype" content="refpage">
<!-- CHUNKNAME: ODFAnalysis -->
<!-- HEADSTUFF: ODFAnalysis -->
<!-- HEADSTUFF -->
<meta name="refentity" content="method:ODFAnalysis">
<meta http-equiv="Content-Script-Type" content="text/javascript">
<meta name="toctype" content="fcn">
<link rel="stylesheet" href="up.css"><script language="JavaScript" src="docscripts.js"></script></head>
<body><a name="top_of_page"></a><div class="navbar navbar-inverse navbar-fixed-top">
<div class="navbar-inner">
<div class="container"><a class="brand" href="/">MTEX Toolbox</a><ul class="nav">
<li><a href="/download.html">Downloads</a></li>
</ul>
<ul class="nav">
<li><a href="/documentation.html">Documentation</a></li>
</ul>
<ul class="nav">
<li><a href="/team.html">People</a></li>
</ul>
<ul class="nav">
<li><a href="/publications.html">Publications</a></li>
</ul>
<ul class="nav">
<li><a href="/support.html">Support</a></li>
</ul>
</div>
</div>
</div>
<div class="container">
<h1>ODFs</h1>
<div class="subheading">
<p>ODF stands for orientation distribution functions. This section explains how to import and export ODFs, how to define model
ODFs and how to analyze ODFs, e.g., with respect to modalorientations, textureindex, volumeportions. Pole figure simulation
and single orientation simulation is explained as well.
</p>
</div>
<p>
<table class="ref" width="90%">
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('SantaFe_demo_block','SantaFe_demo_expandable_text');"
valign="top"
width="15">
<img id="SantaFe_demo_expandable_text" src="arrow_right.gif" style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="SantaFe_demo.html">The SantaFe example<td valign="top" width="75%">Simulate a set of pole figures for the SantaFe
standard ODF, estimate an ODF and compare it to the inital SantaFe ODF.</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="SantaFe_demo_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="SantaFe_demo.html#2">Simulate pole figures</a>
</td>
</tr>
<tr>
<td>
<a href="SantaFe_demo.html#3">ODF Estimation with Ghost Correction</a>
</td>
</tr>
<tr>
<td>
<a href="SantaFe_demo.html#4">ODF Estimation without Ghost Correction</a>
</td>
</tr>
<tr>
<td>
<a href="SantaFe_demo.html#5">Error analysis</a>
</td>
</tr>
<tr>
<td>
<a href="SantaFe_demo.html#6">Plot estimated pole figures</a>
</td>
</tr>
<tr>
<td>
<a href="SantaFe_demo.html#7">Plot estimated ODF (Ghost Corrected)</a>
</td>
</tr>
<tr>
<td>
<a href="SantaFe_demo.html#8">Plot odf</a>
</td>
</tr>
<tr>
<td>
<a href="SantaFe_demo.html#9">Plot Fourier Coefficients</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('ModelODFs_block','ModelODFs_expandable_text');"
valign="top"
width="15">
<img id="ModelODFs_expandable_text" src="arrow_right.gif" style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="ModelODFs.html">Model ODFs<td valign="top" width="75%">Describes how to define model ODFs in MTEX, i.e., uniform
ODFs, unimodal ODFs, fibre ODFs, Bingham ODFs and ODFs defined by its Fourier coefficients.</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="ModelODFs_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="ModelODFs.html#3">Introduction</a>
</td>
</tr>
<tr>
<td>
<a href="ModelODFs.html#4">The Uniform ODF</a>
</td>
</tr>
<tr>
<td>
<a href="ModelODFs.html#5">Unimodal ODFs</a>
</td>
</tr>
<tr>
<td>
<a href="ModelODFs.html#7">Fibre ODFs</a>
</td>
</tr>
<tr>
<td>
<a href="ModelODFs.html#8">ODFs given by Fourier coefficients</a>
</td>
</tr>
<tr>
<td>
<a href="ModelODFs.html#10">Bingham ODFs</a>
</td>
</tr>
<tr>
<td>
<a href="ModelODFs.html#14">Combining model ODFs</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('ODFImportExport_block','ODFImportExport_expandable_text');"
valign="top"
width="15">
<img id="ODFImportExport_expandable_text" src="arrow_right.gif" style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="ODFImportExport.html">Importing and Exporting ODF Data<td valign="top" width="75%">Explains how to read and write
ODFs to a data file</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="ODFImportExport_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="ODFImportExport.html#1">Open in Editor </a>
</td>
</tr>
<tr>
<td>
<a href="ODFImportExport.html#4">Define an Model ODF</a>
</td>
</tr>
<tr>
<td>
<a href="ODFImportExport.html#5">Save as .mat file</a>
</td>
</tr>
<tr>
<td>
<a href="ODFImportExport.html#7">Export as an generic ASCII file</a>
</td>
</tr>
<tr>
<td>
<a href="ODFImportExport.html#9">Export an ODF to an MTEX ASCII File</a>
</td>
</tr>
<tr>
<td>
<a href="ODFImportExport.html#10"> Export to VPSC format</a>
</td>
</tr>
<tr>
<td>
<a href="ODFImportExport.html#11">Import ODF Data using the import wizard</a>
</td>
</tr>
<tr>
<td>
<a href="ODFImportExport.html#13">Importing EBSD data using the method loadODF</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('PoleFigureSimulation_demo_block','PoleFigureSimulation_demo_expandable_text');"
valign="top"
width="15">
<img id="PoleFigureSimulation_demo_expandable_text" src="arrow_right.gif"
style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="PoleFigureSimulation_demo.html">Simulating Pole Figure data<td valign="top" width="75%">Simulate arbitrary pole figure
data</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="PoleFigureSimulation_demo_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="PoleFigureSimulation_demo.html#3">Introduction</a>
</td>
</tr>
<tr>
<td>
<a href="PoleFigureSimulation_demo.html#5">Simulate Pole Figure Data</a>
</td>
</tr>
<tr>
<td>
<a href="PoleFigureSimulation_demo.html#11">ODF Estimation from Pole Figure Data</a>
</td>
</tr>
<tr>
<td>
<a href="PoleFigureSimulation_demo.html#14">Exploration of the relationship between estimation error and number of single
orientations</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('EBSDSimulation_demo_block','EBSDSimulation_demo_expandable_text');"
valign="top"
width="15">
<img id="EBSDSimulation_demo_expandable_text" src="arrow_right.gif"
style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="EBSDSimulation_demo.html">Simulating EBSD data<td valign="top" width="75%">How to simulate an arbitrary number of
individual orientations data from any ODF.</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="EBSDSimulation_demo_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="EBSDSimulation_demo.html#6">Simulate EBSD Data</a>
</td>
</tr>
<tr>
<td>
<a href="EBSDSimulation_demo.html#7">ODF Estimation from EBSD Data</a>
</td>
</tr>
<tr>
<td>
<a href="EBSDSimulation_demo.html#11">Exploration of the relationship between estimation error and number of single orientations</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('ODFCharacteristics_block','ODFCharacteristics_expandable_text');"
valign="top"
width="15">
<img id="ODFCharacteristics_expandable_text" src="arrow_right.gif"
style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="ODFCharacteristics.html">Characterizing ODFs<td valign="top" width="75%">Explains how to analyze ODFs, i.e. how to
compute modal orientations, texture index, volume portions, Fourier coefficients and pole figures.</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="ODFCharacteristics_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="ODFCharacteristics.html#7">Modal Orientations</a>
</td>
</tr>
<tr>
<td>
<a href="ODFCharacteristics.html#10">Texture Characteristics</a>
</td>
</tr>
<tr>
<td>
<a href="ODFCharacteristics.html#13">Volume Portions</a>
</td>
</tr>
<tr>
<td>
<a href="ODFCharacteristics.html#16">Fourier Coefficients</a>
</td>
</tr>
<tr>
<td>
<a href="ODFCharacteristics.html#20">Pole Figures and Values at Specific Orientations</a>
</td>
</tr>
<tr>
<td>
<a href="ODFCharacteristics.html#23">Extract Internal Representation</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('ODFPlot_block','ODFPlot_expandable_text');"
valign="top"
width="15">
<img id="ODFPlot_expandable_text" src="arrow_right.gif" style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="ODFPlot.html">Visualizing ODFs<td valign="top" width="75%">Explains all possibilities to visualize ODfs, i.e. pole
figure plots, inverse pole figure plots, ODF sections, fibre sections.</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="ODFPlot_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="ODFPlot.html#5">Pole Figures</a>
</td>
</tr>
<tr>
<td>
<a href="ODFPlot.html#8">Inverse Pole Figures</a>
</td>
</tr>
<tr>
<td>
<a href="ODFPlot.html#12">ODF Sections</a>
</td>
</tr>
<tr>
<td>
<a href="ODFPlot.html#18">Plotting the ODF along a fibre</a>
</td>
</tr>
<tr>
<td>
<a href="ODFPlot.html#19">Fourier Coefficients</a>
</td>
</tr>
<tr>
<td>
<a href="ODFPlot.html#20">Axis / Angle Distribution</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('DetectSampleSymmetry_block','DetectSampleSymmetry_expandable_text');"
valign="top"
width="15">
<img id="DetectSampleSymmetry_expandable_text" src="arrow_right.gif"
style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="DetectSampleSymmetry.html">Detecting sample symmetry<td valign="top" width="75%">Explains how to detect orthotropic
symmetry in an ODF.</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="DetectSampleSymmetry_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="DetectSampleSymmetry.html#3">A synthetic example</a>
</td>
</tr>
<tr>
<td>
<a href="DetectSampleSymmetry.html#4">Reconstruct an ODF from simulated EBSD data</a>
</td>
</tr>
<tr>
<td>
<a href="DetectSampleSymmetry.html#5">Detect the sample symmetry axis in the reconstructed ODF</a>
</td>
</tr>
<tr>
<td>
<a href="DetectSampleSymmetry.html#6">Sample symmetry in an ODF computed from pole figure data</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('MDFAnalysis_block','MDFAnalysis_expandable_text');"
valign="top"
width="15">
<img id="MDFAnalysis_expandable_text" src="arrow_right.gif" style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="MDFAnalysis.html">Misorientation Distribution Function<td valign="top" width="75%">Explains how to compute and analyze
misorientation distribution functions.</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="MDFAnalysis_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="MDFAnalysis.html#3">Computing a misorientation distribution function from EBSD data</a>
</td>
</tr>
<tr>
<td>
<a href="MDFAnalysis.html#4">SUB: The boundary misorientation distribution function</a>
</td>
</tr>
<tr>
<td>
<a href="MDFAnalysis.html#7">SUB: The uncorrelated misorientation distribution function</a>
</td>
</tr>
<tr>
<td>
<a href="MDFAnalysis.html#9">Computing the uncorrelated misorientation function from two ODFs</a>
</td>
</tr>
<tr>
<td>
<a href="MDFAnalysis.html#12">Analyzing misorientation functions</a>
</td>
</tr>
<tr>
<td>
<a href="MDFAnalysis.html#13">SUB: Angle distribution</a>
</td>
</tr>
<tr>
<td>
<a href="MDFAnalysis.html#15">SUB: Axis distribution</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
</table>
</p>
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