What are the limitations of using the concept of a principal axis for complex optical systems?

In the principal axis factoring method, we make an initial estimate of the common variance in which the communalities are less than 1. This initial estimate ... Principal-axis Analysis of the Eddington Tensor for the Early Post-bounce Phase of Rotational Core-collapse Supernovae ... You need an eReader or compatible ... We applied principal component and principal axis factoring methods for factor extraction and varimax, equamax, and quartimax factor rotation techniques to ... Feb 19, 2021 ... Is it possible to get the coordinates of the two points at the intersections between the principal axis and the surface of the object? Oct 2, 2010 ... The principal axes of any shape define two orthogonal axes ... minor principal axis. Fig. 2: Deflection of single angle due to load. the distribution, along with the variance along each principal axis. The principal axes and variances describe the orientation and size of the "error ... noun a line that passes through the center of curvature of a lens so that light is neither reflected nor refracted Apr 20, 2023 ... There are a couple aspects of what is implemented in ITK that makes it more complicated than basic index based moment calculations. First the ... The directions of the three mutually orthogonal unit vectors $\hat{\mbox{\boldmath$\omega$}}_i$ define the three so-called principal axes of rotation of the ... JSXGraph is a cross-browser JavaScript library for interactive geometry, function plotting, charting, and data visualization in the web browser.