On 20 Jun, 20:14, Tim Wescott <t...@seemywebsite.com> wrote:
> On Sat, 20 Jun 2009 11:04:38 -0700, Rune Allnor wrote:
> > On 20 Jun, 19:50, Tim Wescott <t...@seemywebsite.com> wrote:
>
> >> My choice of oddball integrals was intentional, as I want to go on to
> >> calculating various moments for the probability distributions of the
> >> surface of the hypersphere when 3D probability distributions are mapped
> >> onto it. *Clearly if I map a tight Gaussian distribution onto the
> >> hypersphere with a standard deviation that's much smaller than the
> >> hypersphere radius the resulting probability distribution will be easy;
> >> it's figuring out what happens as that probability distribution opens
> >> up that's making my brain cramp.
>
> > I'm a bit curious about what kind of problem leads you out in such kinds
> > of calculations?
>
> Unscented transformations for quaternion PDFs used to represent angles in
> a (hopefully soon-to-be) unscented Kalman filter.

The expected value is a 4-vector pointing in some desired
direction and the PDF represents the probability distribution
of actual directions?

Rune