The SantaFe example
Simulate a set of pole figures for the SantaFe standard ODF, estimate an ODF and compare it to the inital SantaFe ODF.
Simulate pole figures
CS = crystalSymmetry('m-3m'); % crystal directions h = [Miller(1,0,0,CS),Miller(1,1,0,CS),Miller(1,1,1,CS),Miller(2,1,1,CS)]; % specimen directions r = equispacedS2Grid('resolution',5*degree,'antipodal'); % pole figures pf = calcPoleFigure(SantaFe,h,r); % add some noise pf = noisepf(pf,100); % plot them plot(pf,'MarkerSize',5) mtexColorMap LaboTeX

ODF Estimation with Ghost Correction
rec = calcODF(pf)
rec = ODF crystal symmetry : m-3m specimen symmetry: 222 Uniform portion: weight: 0.5597 Radially symmetric portion: kernel: de la Vallee Poussin, halfwidth 5° center: 1230 orientations, resolution: 5° weight: 0.4403
ODF Estimation without Ghost Correction
rec2 = calcODF(pf,'NoGhostCorrection')
rec2 = ODF crystal symmetry : m-3m specimen symmetry: 222 Radially symmetric portion: kernel: de la Vallee Poussin, halfwidth 5° center: 1231 orientations, resolution: 5° weight: 1
Error analysis
% calculate RP error calcError(rec,SantaFe) % difference plot between meassured and recalculated pole figures plotDiff(pf,rec)
ans = 0.0483 progress: 100%

Plot estimated pole figures
plotPDF(rec,pf.h,'antipodal')

Plot estimated ODF (Ghost Corrected)
plot(rec,'sections',18,'resolution',5*degree,... 'contourf','FontSize',10,'silent','figSize','large','minmax') mtexColorMap white2black
Warning: Plot properties not compatible to previous plot! I'going to create a new figure.

Plot odf
plot(SantaFe,'sections',18,'contourf','FontSize',10,'silent',... 'figSize','large','minmax') mtexColorMap white2black
Warning: Plot properties not compatible to previous plot! I'going to create a new figure.

Plot Fourier Coefficients
close all; % true ODF plotFourier(SantaFe,'bandwidth',32,'linewidth',2) % keep plot for adding the next plots hold all % With ghost correction: plotFourier(rec,'bandwidth',32,'linewidth',2) % Without ghost correction: plotFourier(rec2,'bandwidth',32,'linewidth',2) legend({'true ODF','with ghost correction','without ghost correction'}) % next plot command overwrites plot hold off

MTEX 5.2.beta1 |