ODFSections.ODFSections edit page

an abstract class representing sections through orientation space

Orientation space is three dimensional, so plotting an ODF means slicing it. A deriving class fixes how the slices are cut and how an orientation is projected into a slice; everything the plotting needs - the grid, the projection, the axes labels - is asked through this interface.

Class Properties

CS1, CS2 the two symmetry
CS, SS crystal and specimen symmetry
tol tolerance an orientation may deviate from a section
plotGrid the grid the section is evaluated on
gridSize number of points per section

Derived Classes

sigmaSections fixed phi1 - phi2, the MTEX default
phi1Sections fixed Euler angle phi1
PhiSections fixed Euler angle Phi
phi2Sections fixed Euler angle phi2
alphaSections fixed Matthies Euler angle alpha
gammaSections fixed Matthies Euler angle gamma
axisAngleSections fixed misorientation angle
omegaSections rotations about a fixed axis
pfSections pole figure like sections
ipfSections inverse pole figure like sections

Example

cs = crystalSymmetry('222')
oS = axisAngleSections(cs,cs);
ori = oS.makeGrid('resolution',2.5*degree);
oM = PatalaColorKey(cs,cs)
rgb = oM.orientation2color(ori);
plot(oS,rgb,'surf')
cs = crystalSymmetry (āŠ™c→a)
 
  symmetry: 222    
  elements: 4      
  a, b, c : 1, 1, 1
 
 
oM = PatalaColorKey (222 → 222)
 
  antipodal: true
ori = orientation.rand(100,cs,cs)
plot(oS,ori)
ori = misorientation (222 → 222)
  size: 100 x 1

See also

sigmaSections phi2Sections SO3Fun.plotSection