Geometry Tools
This section of geometry tools especialy contains methods to convert directions and rotations from one paramterization into
another. Additionlly some basic geometrical objects are predefined.
Complete Function list
CSL | coincidence site lattice misorientations
for cubic symmetry |
Miller2quat | calculate quaternion
from Miller indece |
axis2quat | rotational axis,
roational angle to Quaternion |
axis2quat_outer | rotational
axis, roational angle to Quaternion |
brassOrientation | returns
the cube orientation |
cubeOrientation | returns
the cube orientation |
equispacedS2Grid | defines
an equispaced spherical grid |
equispacedSO3Grid | defines
a equispaced grid in the orientation space |
euler2quat | converts
euler angle to quaternion |
fibre2quat | arbitrary
quaternion q with q * h = r |
gossOrientation | returns
the cube orientation |
guessfibre | try to find
the fibre of to given rotations by finding the eigenvector |
hr2quat | arbitrary
quaternion q with q * h = r |
idRotation | the
identical rotation |
idquaternion | the identical
rotation quaternion(1,0,0,0) |
inversion | the inversion
reflection at the origin |
loadCIF | import crystal
symmetry from cif file |
localOrientationGrid | define
a equispaced grid localized to a center orientation |
mat2quat | converts
direction cosine matrix to quaternion |
plotS2Grid | create
a regular S2Grid for plotting |
plotSO3Grid | give
a regular grid in orientation space |
randq | returns
random quaternions |
reflection | defines a reflection
at plane with normal n |
regularS2Grid | Syntax |
regularSO3Grid | give a regular grid in orientation space |
vec42quat | returns a quaternion q with q u_1 = v1 and q u2 = v2 |
xvector | vector (1,0,0) |
yvector | vector
(0,1,0) |
zvector | vector (0,0,1) |