5f5e0520-9b4c-4c8c-a6b1-db646fbf43c0 17 3 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Create a 2D matrix of function values

θ rot θ cos θ sin - θ sin θ cos 22 mat :

We make it symmetric by equating both directions. You may range V otherwise for an asymmetric option

θ π 4 / :

θ 0.7854

Mesh U, V  within the bounds L, H L H N xd N intervals U 0 : dx H L - N / : i 1 N 1 + range U i el L dx i * dx - (+ : for U 21 line 41 line :

L 1 - :

H 1 :

mesh 64 :

U L H mesh xd :

V U :

x y fy 1 x 2^1 y * (2^+ (- 0.25 / exp * :

M Min Max Scale Max Min - (M M min - M max M min - / (* Min + :

Generate the symmetric square matrix x y f U V Sym r 1 : i 1 U rows range c 1 : j 1 V rows range M r c el U i el V j el f eval : c c 1 + : 21 line for r r 1 + : 31 line for M 31 line :

N x y fy U V Sym :

Optimiz: numeric N N 0255 Scale :

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45° rot asymGaussian

AsymG

AsymG C:\Snippets\AsymGauss.png READBMP :

Vectorise Diagonal Mat Dia Diagonal elements i 1 Mat rows range Dia i el Mat i i el : for Dia 31 line :

u 1 N rows range : X u 1 - 1 Scale : Y N Dia 01 Scale : Dia X Y augment : 41 line

About image rotation:

1. Perfect 45° from Tracer, otherwise poor.

2. All angles: impecable from Smath program

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θ π - 2 / :

At this point: knowing the values the diagonal should be, it is possible to relate the spot diagonal and reshape .

plot Dia X Y 2^vectorize augment X Y sqrt vectorize augment Dia θ rot * 41 sys :

plot

x c 220 x ≤ (x 255 ≤ (* : I N c N * vectorize : 21 line

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x y XY x y / - :

plot XY 2 1 sys

Select either corner

L 1 - :

H 1 :

mesh 64 :

x c 0 x ≤ : y c 0 y ≤ : 21 line

x c x 0 ≤ : y c y 0 ≤ : 21 line

U L H mesh xd :

V U :

x y fy 1 x 2^y 2^+ (- 0.25 / exp * x c * y c * :

N x y fy U V Sym :

Optimiz: numeric N N 0255 Scale :

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