"Bald Eagle" <cre### [at] netscapenet> wrote:
> After much research and review of linear algebra and matrices, I've managed to
> work out the basics of this whole Singular Value Decomposition. As with most of
> these things, some parts were more difficult, some simpler in retrospect.
>
> So here's what I have so far:
>
> Top left: a unit sphere with a number of randomly placed points on its surface.
>
> Top right: The sphere and points scaled and rotated to give an off-axis
> ellipsoid and it's corresponding data points [these will be acquired by trace()
> in future version(s) ]
>
> 3. The ellipsoid after attempting to axis-align it using a matrix derived from
> the SVD.
>
> 4. Step 3 rotated 90 deg.
>
> Looks like the new BB is almost 1/3 of the original (which looks horrible to
> begin with).
>
> The side view looks a bit tilted, so something's still off, so I will keep
> experimenting - hopefully I can streamline the process so I don't have to keep
> manually entering values.

If you have an SVD solver/generator coded in POVRay SDL, I wold very much like
to see it,

JimT

Post a reply to this message