eigenQsphere

The eigenvalues of the precision matrix Q with dimension (<code>mm</code>, <code>nn</code>)
and polar angle limits <code>phimin</code>, <code>phimax</code> are calculated.

A method for the multiresolution analysis of spatial fields and images to capture scale-dependent features.
mrbsizeR is based on scale space smoothing and uses differences of smooths at neighbouring scales for finding features on different scales.
To infer which of the captured features are credible, Bayesian analysis is used.
The scale space multiresolution analysis has three steps: (1) Bayesian signal reconstruction.
(2) Using differences of smooths, scale-dependent features of the reconstructed signal can be found.
(3) Posterior credibility analysis of the differences of smooths created.
The method has first been proposed by Holmstrom, Pasanen, Furrer, Sain (2011) <DOI:10.1016/j.csda.2011.04.011> and extended in Flury, Gerber, Schmid and Furrer (2021) <DOI:10.1016/j.spasta.2020.100483>.

Roman Flury

mrbsizeR

Scale Space Multiresolution Analysis of Random Signals

Thimo Schuster

Leena Pasanen

Reinhard Furrer

eigenQsphere function

<dl><dt>phimin</dt>
<dd>Polar angle minimum.</dd>
<dt>phimax</dt>
<dd>Polar angle maximum.</dd>
<dt>mm</dt>
<dd>Number of rows of precision matrix Q.</dd>
<dt>nn</dt>
<dd>Number of columns of precision matrix Q.</dd></dl>

Arguments

Generate eigenvalues of precision matrix Q on the surface of a sphere. — eigenQsphere

<dl>

<dt>phimin</dt>
<dd>Polar angle minimum.</dd>


<dt>phimax</dt>
<dd>Polar angle maximum.</dd>


<dt>mm</dt>
<dd>Number of rows of precision matrix Q.</dd>


<dt>nn</dt>
<dd>Number of columns of precision matrix Q.</dd>

</dl>

eigenQsphere: Generate eigenvalues of precision matrix Q on the surface of a sphere.

Description

Usage

Value

Arguments

Details

Examples