average a map property separately within each grain.

Syntax

values = grainMean(ebsd, propertyValues)

Description

For an MTEX object, grainMean(x, …) calls x.grainMean(…). Additional positional and keyword arguments are passed to that method unchanged. Its documentation specifies the accepted inputs, units, symmetry handling and optional outputs. Consult the corresponding method for the behaviour of a particular object type.

Example

Average the GROD angle once per grain and map the same averages back to the pixels. The small Forsterite sample is downloaded and cached on first use.

import numpy as np
import matplotlib.pyplot as plt
from mtex import mtexdata, calcGrains, calcGROD, grainMean, degree, plot, mtexColorbar

ebsd = mtexdata('small', verbose=False)['Forsterite']
grains = calcGrains(ebsd, angle=10*degree, minPixel=5)
omega = calcGROD(ebsd, grains).angle()/degree
perGrain = grainMean(ebsd, omega, grains)
perPixel = grainMean(ebsd, omega)
print('Per-grain shape:', perGrain.shape, 'Per-pixel shape:', perPixel.shape)
print('First five grain means (degrees):', np.round(perGrain[:5], 3))
plot(grains, perGrain, colorRange=(0, 5))
mtexColorbar(title='Mean GROD angle (degrees)')
plt.show()

With grains supplied, the output follows grains.id; without it, each pixel receives its grain average. Averaging the deviation angle gives an angular spread, not a mean orientation. Use orientation.mean to average orientations with crystal symmetry.

Per-grain shape: (15,) Per-pixel shape: (1952,)
First five grain means (degrees): [0.632 1.407 0.406 1.394 3.378]

Example output for EBSD.grainMean

Signature

grainMean(x, *args, **kwargs)

Methods it calls

EBSD	the average of a property over each grain

Used on

EBSDGROD, GrainOrientationParameters, GrainSpatialPlots

source

Citing this page. This page is part of the documentation of MTEX, a free and open source MATLAB toolbox for analyzing and modeling crystallographic textures. It was written by The MTEX Developers and is published at https://mtex-toolbox.github.io/grainMean_py.html. If you use MTEX, or reuse text or figures from this page, in your research, please cite

F. Bachmann, R. Hielscher, H. Schaeben: Texture Analysis with MTEX - Free and Open Source Software Toolbox, Solid State Phenomena 160 (2010), 63-68. 10.4028/www.scientific.net/SSP.160.63

BibTeX

@article{bachmann2010mtex,
  author  = {F. Bachmann and R. Hielscher and H. Schaeben},
  title   = {Texture Analysis with MTEX - Free and Open Source Software Toolbox},
  journal = {Solid State Phenomena},
  volume  = {160},
  pages   = {63-68},
  year    = {2010},
  doi     = {10.4028/www.scientific.net/SSP.160.63},
  url     = {https://doi.org/10.4028/www.scientific.net/SSP.160.63}
}

Other papers describing specific MTEX methods are listed under Publications — please cite the one that best fits your application. The MTEX source code is licensed under the GNU General Public License v2.0; the text and figures of this documentation are licensed under CC BY 4.0, which permits reuse — including by automated systems — provided The MTEX Developers and this page are credited.