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febb5a3d-420d-43e1-aaad-e4a16119559c 98 4 5 decimal

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

M F:\SmathExchange\Image Venturi50.bmp READRGB :

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G

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B

B 25525425425425425425425425425425425425425425425425425425425424322520418416414512510585675032153000000000000000000000000000000255254254254254254254254254254254254254254254254254254254254254249231214194176156138119100826649331750000000000000000000000000000255254254254254254254254254254254254254254254254254254254254254254253241225207189171154136119101846852372392000000000000000000000000025525525425425425425425425425425425425425425425425425425425425425425425425023822220518917215614012410791756147331982000000000000000000000025525525425425425425425425425425425425425425425425425425425425425425425425425424923922420819417816314813311710288736047342110500000000000000000002552552542542542542542542542542542542542542542542542542542542542542542542542542542542522432312162031891741601471331191059277665342301994100000000000000255255254254254254254254254254254254254254254254254254254254254254254254254254254254254254253249241230216204191178166153140128115102917767564433231484000000000025525525425425425425425425425425425425425425425425425425425425425425425425425425425425425425425425425325124423522521220119017816715614313212210998887566564536271811731000255255254254254254254254254254254254254254254254254254254254254254254254254254254254254254254254254254254254254252251244237229218208199188176166158146135126116104968675675848393224162552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542522512452392332262152061981891781691621531421331251171069789822552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542522502492432372322272212102031961891801711641572552552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542532522512492482442382342302552552552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542552552552552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542552552552552552552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542552552552552552552552552552552552552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542552552552552552552552552552552552552552552552552552552552552552552552552552552552552552552552552552552552552552552552552552552542542542542542542542542542542542542542542542542542542542542542542552552552552552552552552552552552552552552552552552552552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542552552552552552552552552552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542552552552552552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542552552552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542552552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542522512502552552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542532522512492452392342302262182092031972552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542532522512472402352302212112031961881771691621541431351281212552552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542532522482412352262152061971881771671591481381301201091009183726456472552552542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542542532512442372262152051941821711621501381281181069687746656453729201395225525525425425425425425425425425425425425425425425425425425425425425425425425425425425425425425425324623822621420319017716615414113011810594837060494030201273000000025525525425425425425425425425425425425425425425425425425425425425425425425425425425425425324623622320919618317015714313011710391766654433121116100000000000025525525425425425425425425425425425425425425425425425425425425425425425425425425425124122721319818316915413912511196826956443120940000000000000000025525525425425425425425425425425425425425425425425425425425425425425425425425023822320719117516014412811297826754402614610000000000000000000025525525425425425425425425425425425425425425425425425425425425425425425224022320618917215413812110488715743281350000000000000000000000002552542542542542542542542542542542542542542542542542542542542542542452282091911721551371191018367513519710000000000000000000000000025525425425425425425425425425425425425425425425425425425425425223821819918016014112110283664932164000000000000000000000000000003364 mat :

Functions/parameters ........ to construct 45° rot, λ background

gray R G + B + 3 / :

gray Min 86

gray Max 167

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B

m n q m n m n - 22 mat :

θ f θ cos θ sin - θ sin θ cos 22 mat :

gray rows gray cols 12 mat 336412 mat

deg 45 :

λ 235 :

Absolute value of a vector v Abs j 1 v rows range a j el v j el abs : for a 21 line :

Round OFF a matrix/vector M n Round i 1 M rows range j 1 M cols range m i j el M i j el n round : for for m 21 line :

v1 mwabs

v2 mwabs

k 13 range RGB x y v k 1 - (* + el sum k el 0 round : for

p 12 range q 12 range i s 1 p el : j s 2 q el : a gray : b a i j el 1 ≠ wht a if : sum sum w 1 p el w 2 q el * (b * + : 61 line for for

R G B deg λ rotate m R rows : n R cols : 12 mat θ deg π * 180 / : A θ f : bounds m n q A * : j 12 range uv j el bounds j col Abs Max 0 round : for u uv 1 el : v uv 2 el : 12 mat N m n u v 22 mat 1 + 2 / : mc N 11 el : nc N 12 el : uc N 21 el : vc N 22 el : 22 mat prepare pixel canvas wht 11113 mat λ * : RGB u 3 v * matrix : x 1 u range y 1 v range s0 A x y 21 mat uc vc 21 mat - (* eval mc nc 21 mat + : s s0 Floor s0 Floor 1 + augment : w s 2 col s0 - s0 s 1 col - augment : sum 00013 mat : p 12 range q 12 range i s 1 p el : j s 2 q el : 12 mat i 0 > (i m ≤ (& j 0 > (& j n ≤ (& a R i j el G i j el B i j el 13 mat : a wht : if sum sum w 1 p el w 2 q el * (a * + : 31 line for for k 13 range RGB x y v k 1 - (* + el sum k el 0 round eval : for 61 line for for RGB 131 line :

To make it work in older SMath
(without try()) a R i j el G i j el B i j el 13 mat : a wht : try i 0 > i m ≤ & j 0 > & j n ≤ & a R i j el G i j el B i j el 13 mat : a wht : if ≡

RotatedImage R G B deg λ rotate :

RotatedImage trace 1

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a i j el (a m n el (¤

RotatedImage 23523523523523523523523523523523523523523523523523523523523545 mat

A k extract m A rows : n A cols 3 / : 12 mat A 1 m n k 1 - (* 1 + n k * submatrix 21 line :

BMP RotatedImage k extract (k 13 sum 3 / :

A function that tests an arbitrary point 
for its membership in the critical region. Test a i j el (a m n el (* :

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 BMP

1 Test - b wht : Test b a : while 21 line while

BMPColor RotatedImage 1 extract RotatedImage 2 extract RotatedImage 3 extract 13 mat :

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 BMPColor

sum 0012 mat transpose :

w 0.769 0.231 0.756 0.244 22 mat :

Ω p 12 range q 12 range Ω p q el w 1 p el w 2 q el * (gray p q el * : for for Ω 21 line :

Ω 0 Round 732322722 mat