35e435d3-bed8-467f-9424-8b6a39d417ec 35 4 5 decimal
&[DATE] &[TIME] - &[FILENAME]
&[PAGENUM] / &[COUNT]

Planetary spot system

You need that one for scaling grayscale image

M lo hi Scale hi lo - ( M M Min - M Max M Min - / ( * lo + :

The system can be built to isolate the center spot to make it bigger, and the satellites smaller.

Center Planet ... size σ0 @ x0, y0

x y x0 y0 σ0 f0 255 x x0 - σ0 / ( 2 ^ y y0 - σ0 / ( 2 ^ + ( - exp * :

Satellites ... size σ1 @ N locations xs, ys

x y xs ys σ1 f1 255 x xs - σ1 / ( 2 ^ y ys - σ1 / ( 2 ^ + ( - exp * :

The complete Planetary system: Planet + Satellites

x y Φ x y x0 y0 σ0 f0 x y r 2 π * j * N / cos * r 2 π * j * N / sin * σ1 f1 j 0 N 1 - sum 1 1 line + :

... typical setup for symmetric Φ(x,y).

x y Φ L H n Sym U 0 : dx H L - n / : i 1 n 1 + ( range U i el L dx i * dx - ( + : V i el L dx i * dx - ( + : 2 1 line for symmetric Gaussian r 1 : i 1 U rows range c 1 : j 1 V rows range M r c el U i el V j el Φ : c c 1 + : 2 1 line for r r 1 + : 3 1 line for M 7 1 line : 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Satell 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Planet 142 s *