Re: [Vo]:Newton's rings fractal

2020-10-17 Thread H LV
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 

Re: [Vo]:Newton's rings fractal

2020-10-17 Thread Jones Beene
Moire effect in fractal...
Hmm... derivative of Newton's rings ?
 Moire Effect in Fractal 

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Moire Effect in Fractal


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[Vo]:Newton's rings fractal

2020-10-17 Thread Don86326

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 
emerges during the movie. The 'lens' magnifies the center of the image 
as the image is round and the acceleration offset is from radial pattern 
movement (outer to inner radius).


The lens is literally --from the vantage of the surface apparent of the 
image-- a lens into the future/past^(?) of the animated time-line of 
images <---because, the future is a shrunken scale of the same image of 
Newton's rings.  The