Stem[data]

5bb51849-3b03-40ce-84a9-9b9e72c55fb4 35 4 5 decimal

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

ε 0.4 :

ψ(j,k,x):= 2^(j/2)*ψ(2^j*x − k)

x Ψ 10 x ≤ (x ε ≤ (& 1 - ε x ≤ (x 1 ≤ (& 0 cases :

x Ψ

j k x Ψ 2 j x * k - Ψ * :

x c 10 x ≤ (x 4 ≤ (& cases :

j 1 :

k 1.5 :

j k x Ψ x c * k j 2 / + 5 k j 2 / + 5 - 2 2 mat 2 1 sys

j k x Ψ 12 j^x * k - Ψ * :

C0 1 : end 6 : 12 mat

g x 0 end 0.05 range : i 1 x rows range H i el C0 C0 j k x i el Ψ * k 04 sum j 02 sum + : for x H augment 31 line :

Isolate g g eval :

g rows 121

g 2 col x el

Bar plot unicolor style, bar width user. data dt BarSize v data 2 col : t v bar t dt - 0 t dt - v t dt + v t dt + 042 mat : j 1 data rows range j 1 ≡ B data j 1 el data j 2 el bar : B B data j 1 el data j 2 el bar stack : if 11 line for B 41 line :

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 31 line for data r3 r4 r5 augment 21 line :

X g 1 col : Y 0 g 2 col (* : 12 mat datum X Y augment + 7 red plot : 21 line

Smath/Mathcad don't agree on some coefficients ...

g 0.01 BarSize end 10 end 10 - 2 2 mat datum 3 1 sys Stem[data]

Error stem plot for QuickPlot unicolor data Stem stemX 1 data rows range : i 1 stemX rows range stem i el data i 1 el data i 2 el data i 1 el 022 mat : for i 1 stem rows 1 - (range stem i el stem i el stem i 1 + (1 el 1 el 012 mat stack : for V stem 1 el : j 2 stem rows 1 - (range V V stem j el stack : for V V data data rows row stack : 71 line :

j 1.5 : k 1.5 : end 4 : 31 line

j k t Haar 2 j 2 /^2 j^t * k - Ψ * :

t f 0.1 t * :

dwt t 0 end 0.025 range : i 1 t rows range C i el t i el f j k t i el Haar * : for t C augment 31 line :

dwt dwt :

Isolate

dwt Stem 1 1 sys

C dwt 2 col :

idwt x 0 end 0.025 range : i 1 x rows range H i el C i el j k x i el Ψ * k 03 sum j 03 sum : for x H augment 31 line :

idwt idwt :

Isolate

idwt Stem 1 1 sys

http://people.ciirc.cvut.cz/~hlavac/TeachPresEn/11ImageProc/14WaveletsEn.pdf

fo 1 : to 0 : a 1 : 31 sys

t gw i fo * t * - exp t to - a / (2^- exp * :

x gw abs

Bar plot unicolor style, bar width user. data dt BarSize v data 2 col : t v bar t dt - 0 t dt - v t dt + v t dt + 042 mat : j 1 data rows range j 1 ≡ B data j 1 el data j 2 el bar : B B data j 1 el data j 2 el bar stack : if 11 line for B 41 line :

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 31 line for data r3 r4 r5 augment 21 line :

Utilities

M Low High Scale High Low - (M M Min - M Max M Min - 106 -^+ / (* Low + :

n v rotate N v length : p n N mod : p p p 0 ≥ p N + p 0 < NOT accounted cases : Ω v : p 0 ≡ i 1 p range Ω i N + p - el v i el : for i p 1 + (N range Ω i p - el v i el : for 21 line cases Ω 51 line :

data UnestH v data 1 el : j 2 data cols range v v data j el augment : for v 31 line :

Implicit 'zoom fractional' Up/Down M a b zoom a b ≡ (a b | (1 ≠ (& (=> ≡ => implicit conditions ≡ i 1 M rows a * (range j 1 M cols b * (range N i j el M i a / Ceil j b / Ceil el : a 1 ≥ N i j el M i a / Floor j b / Floor el : cases for for N 41 line :

shuffle the vector 'v' v 012345867910111 mat transpose :

Typical Matrix Scheduler M v transpose 19 - v rotate transpose 0 v rotate transpose 1 v rotate transpose 7 v rotate transpose 51 mat transpose : 012345867910111 mat 345867910012111 mat 012345867910111 mat 123458679100111 mat 679100123458111 mat 15 mat

U M UnestH : U U 0255 Scale : image U 1010 zoom : 31 line

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 image

i 111 range :

select the rotated column j 5 :

index 1 to explode nested 'M' data i 1 - M j col 1 el augment :

data 0.25 BarSize