smoothing without the shrinking: every smoothing pass is followed by a slightly larger unshrinking one with a negative step, so the gain over the pair, (1 - lk)(1 - mk), is about one over the low frequencies and the area is given back. This is approximate; the areas move, only not systematically one way (Taubin, SIGGRAPH 1995)

Input

iter number of smoothing and unshrinking step pairs; default 5
lambda_ positive smoothing parameter; default 0.5
mu negative unshrinking parameter; default -0.53

Members

smooth the vertices after iter pairs of a smoothing step lambda_ and an unshrinking step mu, the fixed ones kept

Used on

EBSD3Analysis, Grains3DBoundaries, Grains3DSmoothing, GrainSmoothing, GrainSmoothingAdvanced, QuadruplePoints

MATLAB’s taubinFilter

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/taubinFilter_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.