-
Notifications
You must be signed in to change notification settings - Fork 0
/
PoleFigureAnalysis.html
484 lines (478 loc) · 16.5 KB
/
PoleFigureAnalysis.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
<!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>Pole Figures (DocHelp Toolbox)
</title>
<!-- DOCNAME: DocHelp Toolbox -->
<meta name="chunktype" content="refpage">
<!-- CHUNKNAME: PoleFigureAnalysis -->
<!-- HEADSTUFF: PoleFigureAnalysis -->
<!-- HEADSTUFF -->
<meta name="refentity" content="method:PoleFigureAnalysis">
<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>Pole Figures</h1>
<div class="subheading">
<p>Explains how to import pole figure data, how to correct them, and how to recover an ODF.</p>
</div>
<p>
<table class="ref" width="90%">
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('PoleFigureAnalysisIntro_block','PoleFigureAnalysisIntro_expandable_text');"
valign="top"
width="15">
<img id="PoleFigureAnalysisIntro_expandable_text" src="arrow_right.gif"
style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="PoleFigureAnalysisIntro.html">First Steps<td valign="top" width="75%">Get in touch with PoleFigure Data in MTEX.</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="PoleFigureAnalysisIntro_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="PoleFigureAnalysisIntro.html#3">Import of Pole Figures</a>
</td>
</tr>
<tr>
<td>
<a href="PoleFigureAnalysisIntro.html#6">Plotting Pole Figure Data</a>
</td>
</tr>
<tr>
<td>
<a href="PoleFigureAnalysisIntro.html#7">Modify Pole Figure Data</a>
</td>
</tr>
<tr>
<td>
<a href="PoleFigureAnalysisIntro.html#8">Calculate an ODF from Pole Figure Data</a>
</td>
</tr>
<tr>
<td>
<a href="PoleFigureAnalysisIntro.html#9">Simulate Pole Figure Data</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('ImportPoleFigureData_block','ImportPoleFigureData_expandable_text');"
valign="top"
width="15">
<img id="ImportPoleFigureData_expandable_text" src="arrow_right.gif"
style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="ImportPoleFigureData.html">Importing Pole Figure Data<td valign="top" width="75%">How to import Pole Figure Data</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="ImportPoleFigureData_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="ImportPoleFigureData.html#3">Importing pole figure data using the import wizard</a>
</td>
</tr>
<tr>
<td>
<a href="ImportPoleFigureData.html#6">Supported Data Formats</a>
</td>
</tr>
<tr>
<td>
<a href="ImportPoleFigureData.html#7">The Import Script</a>
</td>
</tr>
<tr>
<td>
<a href="ImportPoleFigureData.html#10">Writing your own interface</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('ModifyPoleFigureData_block','ModifyPoleFigureData_expandable_text');"
valign="top"
width="15">
<img id="ModifyPoleFigureData_expandable_text" src="arrow_right.gif"
style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="ModifyPoleFigureData.html">Modify Pole Figure Data<td valign="top" width="75%">Explains how to manipulate pole figure
data in MTEX.</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="ModifyPoleFigureData_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="ModifyPoleFigureData.html#3">Import diffraction data</a>
</td>
</tr>
<tr>
<td>
<a href="ModifyPoleFigureData.html#4">Splitting and Reordering of Pole Figures</a>
</td>
</tr>
<tr>
<td>
<a href="ModifyPoleFigureData.html#6">Correct pole figure data</a>
</td>
</tr>
<tr>
<td>
<a href="ModifyPoleFigureData.html#7">Normalize pole figures</a>
</td>
</tr>
<tr>
<td>
<a href="ModifyPoleFigureData.html#9">Modify certain pole figure values</a>
</td>
</tr>
<tr>
<td>
<a href="ModifyPoleFigureData.html#12">Remove certain measurements from the data</a>
</td>
</tr>
<tr>
<td>
<a href="ModifyPoleFigureData.html#13">Rotate pole figures</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('PoleFigure2odf_block','PoleFigure2odf_expandable_text');"
valign="top"
width="15">
<img id="PoleFigure2odf_expandable_text" src="arrow_right.gif" style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="PoleFigure2odf.html">ODF Estimation from Pole Figure Data<td valign="top" width="75%">This page describes how to
use MTEX to estimate an ODF from pole figure data.</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="PoleFigure2odf_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="PoleFigure2odf.html#5">ODF Estimation</a>
</td>
</tr>
<tr>
<td>
<a href="PoleFigure2odf.html#8">Error analysis</a>
</td>
</tr>
<tr>
<td>
<a href="PoleFigure2odf.html#11">Discretization</a>
</td>
</tr>
<tr>
<td>
<a href="PoleFigure2odf.html#13">Zero Range Method</a>
</td>
</tr>
<tr>
<td>
<a href="PoleFigure2odf.html#14">Ghost Corrections</a>
</td>
</tr>
<tr>
<td>
<a href="PoleFigure2odf.html#15">Theory</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('PF2ODFAmbiguity_block','PF2ODFAmbiguity_expandable_text');"
valign="top"
width="15">
<img id="PF2ODFAmbiguity_expandable_text" src="arrow_right.gif" style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="PF2ODFAmbiguity.html">Ambiguity of the Pole Figure to ODF Reconstruction Problem<td valign="top" width="75%">demonstrates
different sources of ambiguity when reconstructing an ODF from pole figure diffraction data.</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="PF2ODFAmbiguity_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="PF2ODFAmbiguity.html#3">The ambiguity due to too few pole figures</a>
</td>
</tr>
<tr>
<td>
<a href="PF2ODFAmbiguity.html#14">The ambiguity due to too Friedel's law</a>
</td>
</tr>
<tr>
<td>
<a href="PF2ODFAmbiguity.html#20">The inherent ambiguity of the pole figure - ODF relationship</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
<tr>
<td valign="top" width="15">
<div align="center">
<a href="#"
onClick="return toggleexpander('ghost_demo_block','ghost_demo_expandable_text');"
valign="top"
width="15">
<img id="ghost_demo_expandable_text" src="arrow_right.gif" style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="ghost_demo.html">Ghost Effect Analysis<td valign="top" width="75%">Explains the ghost effect to ODF reconstruction
and the MTEX option ghostcorrection.</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="ghost_demo_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="ghost_demo.html#3">Introduction</a>
</td>
</tr>
<tr>
<td>
<a href="ghost_demo.html#4">Construct Model ODF</a>
</td>
</tr>
<tr>
<td>
<a href="ghost_demo.html#5">Simulate pole figures</a>
</td>
</tr>
<tr>
<td>
<a href="ghost_demo.html#6">ODF Estimation</a>
</td>
</tr>
<tr>
<td>
<a href="ghost_demo.html#8">Compare RP Errors</a>
</td>
</tr>
<tr>
<td>
<a href="ghost_demo.html#11">Compare Reconstruction Errors</a>
</td>
</tr>
<tr>
<td>
<a href="ghost_demo.html#14">Plot the ODFs</a>
</td>
</tr>
<tr>
<td>
<a href="ghost_demo.html#20">Calculate Fourier coefficients</a>
</td>
</tr>
<tr>
<td>
<a href="ghost_demo.html#21">Calculate Reconstruction Errors from Fourier Coefficients</a>
</td>
</tr>
<tr>
<td>
<a href="ghost_demo.html#24">Plot Fourier Coefficients</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('PlotPoleFigures_block','PlotPoleFigures_expandable_text');"
valign="top"
width="15">
<img id="PlotPoleFigures_expandable_text" src="arrow_right.gif" style="border:0px"/></a>
</div>
</td>
<td valign="top" width="250px">
<a href="PlotPoleFigures.html">Plotting of Pole Figures<td valign="top" width="75%">Describes various possibilities to visualize
pole figure data.</td></a>
</td>
</tr>
<tr>
<td/>
<td colspan="2">
<div class="expander" id="PlotPoleFigures_block"
style="display:none; background:#e7ebf7; padding-left:2ex;">
<table>
<tr>
<td>
<a href="PlotPoleFigures.html#3">Import of Pole Figures</a>
</td>
</tr>
<tr>
<td>
<a href="PlotPoleFigures.html#4">Visualize the Data</a>
</td>
</tr>
<tr>
<td>
<a href="PlotPoleFigures.html#6">Contour Plots</a>
</td>
</tr>
<tr>
<td>
<a href="PlotPoleFigures.html#8">Plotting Recalculated Pole Figures</a>
</td>
</tr>
</table>
</div>
</td>
</tr>
</table>
</p>
<p style="font-size:1px;"></p>
<table class="footer" border="0" width="100%" cellpadding="0" cellspacing="0">
<tr>
<td valign="baseline" align="right">DocHelp 0.1 beta</td>
</tr>
</table><script>
(function(i,s,o,g,r,a,m){i['GoogleAnalyticsObject']=r;i[r]=i[r]||function(){
(i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o),
m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m)
})(window,document,'script','https://www.google-analytics.com/analytics.js','ga');
ga('create', 'UA-83346204-1', 'auto');
ga('send', 'pageview');
</script></div>
</body>
</html>