what does "resolution" mean during odf analysis and how does it relate to "halfwidth"

[Rongpei Shi]

Just wondering what is the meaning of "resolution" in the following output in MTEX-demo

and does it have any relationship with respect to the half width of the Kernel function?

Thanks!

Rongpei

odf1 = calcODF(ebsd('Fe'))

odf2 = calcODF(ebsd('Fe'),'halfwidth',5*degree)

 performing kernel density estimation

 kernel: de la Vallee Poussin, hw = 7°

 approximation grid: 11722 orientations, resolution: 3.7°

[Ralf Hielscher]

Normally, kernel density estimation means that there is a kernel function centered at each individual orientation. In order speed up computations MTEX sometimes rounds the individual orientations towards a fixed approximation grid. The resolution of the approximation grid means how close are those orientations.

There is a dependency to the halfwidth. By default the resolution of the approximation grid is chosen half the halfwidth of the kernel function.

Ralf