convolve functions or kernels on their domain.

Syntax

smoothed = conv(f, psi)

Description

For an MTEX object, conv(x, …) calls x.conv(…). 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.

Signature

conv(x, *args, **kwargs)

Methods it calls

S1FunHarmonic	smoothing by a kernel is one factor per mode
S1Kernel	the convolution with another kernel on the circle: the coefficients multiplied
S2FunHarmonic	convolve a spherical function with a kernel or another spherical function
S2Kernel	the convolution with another kernel on the sphere or SO(3): the coefficients multiplied and divided by 2n+1, a kernel on the sphere
SO3FunCBF	the convolution with a kernel psi, through the harmonic expansion
SO3FunHarmonic	the convolution with another SO(3) function, a kernel, a function on the sphere or a vector of multipliers per degree, as conv(f, g)
SO3FunRBF	the convolution with a kernel psi, again a kernel sum when psi is an SO(3) kernel, otherwise through the harmonic expansion
SO3Kernel	convolution multiplies the coefficients and divides by 2n+1, on S2 when either factor is

Used on

EllipseBasedParameters, PoleFigure2ODFAmbiguity, SO3FunConvolution

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/conv_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.