Don,
Welcome to Bill Beaty`s vortex.
I have been here about 15 years. Many others have been here since the 1990s.
I look forward to seeing your movie!
Thanks for the link to the pdf about the mathematics of basic moire
patterns.
Would it be correct to say your moire patterns are on the surface of half a
sphere?
Harry
On Sat, Oct 17, 2020 at 11:25 AM Don86326 wrote:
> Hello VO list,
>
>
> I'm happy to be here. I'm happy to not be expelled for thinking out loud.
> [smiley-face emoticon with care-worn wrinkles]. I'm a wannabe scientist,
> a.k.a. a child scientist with adult ADD. My hunt for dopamine-producing
> personal discoveries brings me to this list -- and wow! Reading the VO
> messages for a few months now, I've come to appreciate VO as a place
> populated by vocal scientists, and likely a hoard of wannabe-s like me.
> This wannabe, though, really is a vortex head. That all may come later.
>
> But as a child, my child scientist really wanted to see more detail in
> moire patterns. Window screens in storm doors when two screens overlap
> would produce moire patterns that had a curvature, drawing my attention.
> Trying to optimize visual resolution I'd move this way and that, but ever
> the detail failed to appear. But now I know that curved interference
> patterns in an interference of two rectilinear grids makes no curves, so
> the curves I saw were a moire transformation of the non-linearity of the
> window screens. Each screen was stretched and mounted in the frame causing
> unequal micro-spacing of the screen weave, and the non-linearity of
> rectilinearity was produced as a difference-image with less overall
> resolution, but encoded with the topology of the interfering medium.
> Topology-extraction from moire patterns is now a science affording optical
> measurement using only video images and algorithms to exacting degrees.
>
> About ten years ago, I noticed moire patterns when a texture of stripes on
> a sphere in a ray-tracing 3D scene model (that makes photo-realism with
> matrix algebra --POVRay.org). My childhood yearn to realize more detail in
> window screen moire was right there with me in that frame of mind... (techy
> man and child scientist in one skull) "Ah! Let's then increase the
> pattern resolution!" I could anticipate the dopamine relief --those
> moments when life doesn't seem so incomplete.
>
> Wow! My child was overwhelmed with what I found!
>
> In the POVRay ray-tracer, a programmatic representation of an object
> adorned by a surface texture in a virtual 3D scene has a 'scaling property'
> for the 'surface texture.' By changing that scaling property of surface
> stripes in a loop, the stripes on a sphere could be produced as many, many
> still-frame images where each image was the same spherical surface, but
> with the stripes on the surface shrinking a bit with each frame. It is a
> long, long journey watching fractal patterns down to a pattern-scale of ten
> to the minus fifteen.
>
> Humbling: I assume to understand the ray-tracer memory model of hyper-fine
> surface stripes is making a threshold-decision per pixel for what to color
> each pixel of the rendered-image by how many surface-stripes the
> memory-model has in it for that certain image pixel. The authors of POVRay
> may be able to help development of a kernel that allows sudden-calculation
> of the interference images independently of the POVRay system. If anyone
> knows how to help with that computer science, please contact me if your
> child scientist wants to play with me.
>
> It's not a hairy ball, but the theorem applies... stripes on a sphere have
> polar dots. A polar view shows latitudinal stripes on a sphere as
> concentric circles --with a center dot. When the stripe pattern shrinks,
> the dots flash between two colors. [The whole image is only two contrasting
> colors.]
>
> The image linked following is a polar-view of a hyper-fine-striped globe
> algorithmically sampled as pixels of an image. The scale of the image is
> selected to show a recurrence of the base-interference-pattern <---stripes
> seen from a polar view, looking like Newton's rings...
>
> Image 1)
> https://groupkos.com/dev/images/Spherical_moire_giant_stripped_sphere_05054.png
>
> The scale-ratio of the stripes is 4.8 X 10^(-6) stripes from equator to
> pole. (These units are not verified carefully but ballParky.)
>
> I've been living with these computer-model-generated hyper-interference
> images for about a decade now. There are many interesting things going
> on. The most obvious at certain hyper-fine interference scale-ratios is a
> moire pattern acceleration affect. This is where the interference pattern
> will move differently than the base-grid motion.
>
> Ref: *The Basics of Line **Moiré Patterns and Optical Speedup*:
> https://arxiv.org/ftp/physics/papers/0703/0703098.pdf
>
> I assume (please advise) that it is the *vehicle of pattern-acceleration*
> that affords a stunning 'virtual lens' that
