a density tabulated on a Cartesian grid and evaluated by cubic interpolation

Syntax

f = griddedDensity((x,), values)
y = f(queryX)
f = griddedDensity((x, y), values)
z = f(queryX, queryY)

Description

One coordinate array defines each grid axis, with values.shape matching their lengths. Evaluation broadcasts the query coordinates and returns one interpolated value per point. Queries beyond the grid use spline extrapolation. Cubic interpolation can produce negative values or overshoots even when all tabulated values are nonnegative; construction does not renormalise the supplied samples.

Input

grid tuple of increasing coordinate arrays, one per dimension
values numeric values on the tensor-product grid
bandwidth optional smoothing-width metadata carried with the result

Output

f callable griddedDensity, accepting one coordinate argument per dimension

Properties

grid coordinate axes of the stored samples
values tabulated density values
bandwidth smoothing-width metadata

See also

calcDensity, kde1d, kde2d

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/griddedDensity_index_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.