суббота, 6 августа 2016 г., 18:21:00 UTC+7 пользователь Rick C. Hodgin написал:

Has anyone ever studied how quickly and exponentially the number of
visible artifacts increase as you zoom in to a fractal in resolution?

For example, if you were to orient a fractal across a 500x500 pixels
image, anything that's fully contained within one pixel at that
resolution would be ignored, but only those things which span at least
one solid pixel (as by relative area) would be included.

I'm thinking you begin at a rendering of one pixel by one pixel. Then
go to 2x2 pixels. Then 4x4 pixels, and so on. And plot the number of distinct and identifiable artifacts (swirls, lines, etc.).

I'm wondering how fast the rate of detail increases?

Best regards,
Rick C. Hodgin

approximately as resolution^dim (or 1/pixel_size^dim), where dim=Hausdorff dimension of the fractal

--- SoupGate-Win32 v1.05
* Origin: fsxNet Usenet Gateway (21:1/5)

Has anyone ever studied how quickly and exponentially the number of
visible artifacts increase as you zoom in to a fractal in resolution?

For example, if you were to orient a fractal across a 500x500 pixels
image, anything that's fully contained within one pixel at that
resolution would be ignored, but only those things which span at least
one solid pixel (as by relative area) would be included.

I'm thinking you begin at a rendering of one pixel by one pixel. Then
go to 2x2 pixels. Then 4x4 pixels, and so on. And plot the number of
distinct and identifiable artifacts (swirls, lines, etc.).

I'm wondering how fast the rate of detail increases?

Best regards,
Rick C. Hodgin

--- SoupGate-Win32 v1.05
* Origin: fsxNet Usenet Gateway (21:1/5)