band

d2ca201b-614e-409a-8a1c-c13b93f0bfa2 27 4 5 decimal

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

Part 1: The rainbow RGB color scheme

8 band RGB rainbow colors 25500255128025525500255002006475752550012864012800093 mat :

Vector 'x' is the linear interpolator over each of the 'colors', i.e: over the 8 band RGB basis rainbow. Next, we will create the complete 'rainbow' colormap from interpolation. There are lot of "colormap" for specific rendering of 3D plots.

x 032649612816019222425691 mat :

This is the interpolation module we have used to create the complete rainbow bands, in the collapsed area

R colors 1 col : G colors 2 col : B colors 3 col : 31 line

j 1255 range band j 1 + 1 el j : band j 1 + 2 el x R j linterp Floor : band j 1 + 3 el x G j linterp Floor : band j 1 + 4 el x B j linterp Floor : band 12 el 255 : 51 line for band 21 line

The relative perception of the brightness of R,G,B of average person has been normalised NTSC => 0.299*Red+0.587*Green+0.114*Blue = 1. At the image capture, the gray level is pro- portioned to this NTSC ratio to produce the 3 RGB components. The NTSC conversion is done on the *.raw image, quantisation follows. Even if the sky looks blue, there is little blue in nature, not much red, nature is mostly green to human eye.

band

Rainbow colormap         
col 1 =  gray  band
col 2 =  Red band
col 3 =  Green band
col 4 =  Blue band band 025500125540225580325512042551605255200625524072552808255320925536010255400112554401225548013255520142555601525560016255640172556801825572019255760202558002125584022255880232559202425596025255100026255104027255108028255112029255116030255120031255124032255128033255131034255135035255139036255143037255147038255151039255155040255159041255163042255167043255171044255175045255179046255183047255187048255191049255195050255199051255203052255207053255211054255215055255219056255223057255227058255231059255235060255239061255243062255247063255251064255255065247255066239255067231255068223255069215255070207255071199255072191255073183255074175255075167255076159255077151255078143255079135255080127255081119255082111255083103255084952550858725508679255087712550886325508955255090472550913925509231255093232550941525509572550960255097025329802514990249610002488101024610102024412103024214104024116105023918106023720107023622108023424109023226110023028111022930112022732113022534114022436115022238116022040117021842118021744119021546120021348121021250122021052123020854124020656125020558126020360127020162128020064129219669130419275131718881132918487133111809313414176991351617210513618168111137211641171382316012313925157129140281531351413014914114232145147143351411531443713715914539133165146421291711474412517714846121183149491171891505111419515153110201152561062071535810221315460982191556394225156659023115767862371587082243159727824916075752551617272251162707024716367672431646565239165636323516660602311675858227168565622316953532191705151215171494921117246462071734444203174424219917539391951763737191177353518717832321831793030179180282817518125251711822323167183212116318418181591851616155186141415118711111471889914318977139190441351912213119200128193201281944012819560128196801281971001281981201281991401282001601282011801282022001282032201282042401282052601282062801282073001282083201282093401282103601282113801282124001282134201282144401282154601282164801282175001282185201282195401282205601282215801282226001282236201282246401282256201242266001202275801162285601122295401082305201042315001002324809623346092234440882354208423640080237380762383607223934068240320642413006024228056243260522442404824522044246200402471803624816032249140282501202425110020252801625360122544082552042564 mat :

The respective RGB traces R band 1 col band 2 col augment : G band 1 col band 3 col augment : B band 1 col band 4 col augment : 31 sys

Rainbow RGB bands wrt their respective RGB

B R G 3 1 sys

band band transpose : n 24 : 21 sys

data ListCollect collect row/wise 'n' data ct 1 : i 1 n range rainbow ct el data 1 row : ct ct 1 + : 21 line for rainbow nest the collection v rainbow 1 el : j 2 rainbow rows range v v rainbow j el stack : for v 81 line :

r band 2 row : g band 3 row : b band 4 row : 31 line

Red r ListCollect : Green g ListCollect : Blue b ListCollect : 31 line

rainbow Red Green Blue 13 mat :

iVBORw0KGgoAAAANSUhEUgAAAQAAAAAYCAYAAAAVgCMkAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAC4SURBVHhe7dTNCoJAGIbRr6zu/3ILdGxc9EMUtUkX7znwMaMOKC6e3Vw116Fq0xne3Ftxzn3Zai59qu0fMz/tX6//9Gw/HvucauizrB/30w9nbvt+9uuZZe3npmms1sb7uu5+qv4XNp1W/Ts2muX9QCgBgGACAMEEAIIJAAQTAAgmABBMACCYAEAwAYBgAgDBBACCCQAEEwAIJgAQTAAgmABAMAGAYAIAwQQAggkABBMACCYAEKvqChS1/zUX8xShAAAAAElFTkSuQmCCABBMACCYAEAwAYBgAgCxqq46kv9NOkZCOwAAAABJRU5ErkJggg== rainbow

Part 2: Vectorize a matrix over a scalar function

Vectorise Stuff

You need that one for scaling grayscale image M lo hi Scale hi lo - (M M Min - M Max M Min - / (* lo + :

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

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 :

Discrete compactor L 1 - : H 1 : N 24 : 13 mat U L H N xd : V U : 31 sys

1. 2D function
2. 2D matrix fnct
................
3. The vectorizing fnct
................
4. The vectorized matrix u v f 255 u 2^v 2^+ (- exp * : Ω u v f U V Sym : x q x 2.5^: Z Ω q vectorize : 41 sys

Ω Z 0255 Scale :

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 Ω

The matrix vectorizing function

algo style function: elements wise function over data data algo Vectorise i 1 data rows range j 1 data cols range Fnct i j el data i j el algo eval : for for Fnct 21 line :

M lo hi Scale hi lo - (M M Min - M Max M Min - 1012 -^+ / (* lo + :

V [Venturi]

V 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mat :

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 V

lo 16 : hi 128 : 21 line

x algo 0 x lo ≤ 255 x hi ≥ lo hi 21 mat 025521 mat x linterp cases :

S V algo Vectorise : lumin S 0255 Scale : 21 sys

x algo 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 lumin

Smath 'linterp' NOT scalar V f vectorize not supported ≡

ω V algo vectorize : #

Part 3: Vectorize a grayscale image over RGB rainbow

8 band RGB rainbow colors 25500255128025525500255002006475752550012864012800093 mat :

x 032649612816019222425691 mat :

Explain . . .

1. Smath vectorize a matrix over a scalar function.

2. The rainbow band can't be used linterp, because linterp is

not scalar in the sense of scalar maths.

3. The necessary scalar linterp is created from if/otherwise.

4. Next: V [ the grayscale image] is vectorized for each

rainbow band [RGB] ... each band subjected to user scale.

]]> V [Venturi]

V 1261231171101039790879399106113119126132139146152159166166160153146139133126120113107101959088919610210711311812412913514014515115716216616516015414914413813212712211611110510094911261241181111059993878995102108114120127133139145152158164167162156149143137131124118112107101969088899410010511011512012513113714114615115716216516516115615114614113513012512011511012612411911310810196898691971031091151201261321381441501561621671651601541481421361301241181131071029792888892961011061111161211251311361401451501551601631651641601551511451411361311261251201141091039993878793981041091151201261311361421471531581641671641591531481421371311261201151101051009691888992961011061101141191231281331371421461511551601631651631611561521261261211161111061019690878994981041091141191241291341391441491541591641661641591541491441391341291241191141091051009692899090949810310711111511912312813213714014514815315716116412612612211811310910399958986899498103107112117121126130135140144149154158163166165162157152148143138134129124120115110107102999591899091949810210611011311712112512913313714014412612612312011411110710298948986889397101105109114118122126131135139143148152156161164166165161157153148144140136131127123119115110107103999693909091919598102105109112116119123126126124121117113109105101989490878791959810210611011411812112512913313714114414815215616016316616516316015515214814414013713212912512111711411010710310097949190919192959810112612612512211911511210910510198959188868892959810210610911211611912312613013313714014314715015315716116316516416316115715415114714314013713313012712311911711311010710410198969391126126126123121118114111109106102999793908887899194971001031061091121151191211251271301331371391431461491521551581611621651641631621601561531511481441411391361321291261241201171141121261261261251231201181141121101071041019996949188878789919496991021051071101131151181201231261281311331361391411441471491521541571601611621641631621611601581551521501481451421391371261261261261241221211181151131111091071041021009896939189888788909194969810110310510710911211411611812112312512712913113313613814014214414715015215415615716016116216316316116116012612612612612612412312112011711511311211010810710510310199979694929089888888909192949697991011031051061081101121141161181191211231251271291301321331361381391411431441461491511261261261261261261251241231211201191171151141121111101081071061041031011009897969493919190898988899091929393949698991011021041051061071081101121141151161181191201211231251261261261261261261261261251251241231221211201191181171161151141131121111101091081071061051041031021011009998979695949392929291919190909091919293949494959596979798126126126126126126126126126126126126126126125125124124123123122122121121120119119118118117116116115115114113113112111111110110109109108107107106105105104103102102101101100100999998989797126126126126126126126126126126126126126126126126126126126126126126126126126126126126126125125125125125125125125125125125125124124124123123123122122122122122121121121121120120120120120119119119126126126126126126126126126126126126126126126126126126126126126125125124124124123123123122122122121121121120120120119119119119118118117117116116115115114114113113113113112112111111111110110110126126126126126126126126126126126125125124123123122121120119119118117116115114114113112111110109109108107107105104104103102101101100999898979695959494939393929292929191919212612612612612612612612512412312212112011911711611511311211111010910810610510410310210099989796949392919191908989899091929293949495969899101102103104105106107108110111126126126126126125124123121120118116114113111110108107105103102100989795949290898988888990919293959798100102103105106108109111113115116118119120122125126127129130132133136137126126126126125123122120117115113111110108105103101999795939189888888899092949698100102104106108110113115117118120122125127128130132134137139140142144147149151153154156157159160126126126126124121119116114111109107104102999795928988878890929497991011041061091111141161181211231261281301331351381401421451481501521541571591611621631631621611611601571541521501261261261241221191161131101081051029996939088878890939698101104107110113115118121124127129132135138141144146150152155158160162164164163162161158155152150147144141139136132130127125126126126123120116113110107103100979490878688929598101105108111114118120124127130133137140143146150153156159162164165164163160156153150147144140138134131128125121118115112109106103100126126125122118114111107103999692898688929599102106109113117120124128131135138142146149153157161163166165163160156153149145142139135131127124120117114109107103100979592909191921261261241201161121081041009691888690949710210611011411812212613013413814214615015415816216616516416015615214814414013613212812412011611210810510198959290919092959810210510911212612612311911411010510096918787919510010410811311812212613113513914414915315716216616516315915415014614113713212812411911511010710399959289909093961001041071111141181221261301331261261221171121081029893888791961011061101151201251301351391441491541591641671651601561511461411361311261221171121081039995928989909498102106111114118122126130135138142146150154126126121115110105100958986919610110611211712212813213814314815415916416716415915414814313813312712211711210710398939089899397102106111115119123128133137141145150154159162164164162126125120114109102979186899510110611211812312913414014615115716316716515915314814213613112511911410810499948989899499104108113118122127132136141145150155160164165163160155151146142126124118112106100948887939910511111812312913514214715416016616616115414814213613012411811210710296918889939810310811311812312813313814314815315916316516416015515114514113613012612012612411711110498918691971041101171231291361431491551621671641571511451381321251191121071019590889095101106112117122127133138143148154160165165163158152147142137131126121116110104993364 mat :

x mapR 03221 mat 25525521 mat x linterp Floor 0 x ≤ (x 32 ≤ (& 326421 mat 25525521 mat x linterp Floor 32 x ≤ (x 64 ≤ (& 649621 mat 255021 mat x linterp Floor 64 x ≤ (x 96 ≤ (& 9612821 mat 0021 mat x linterp Floor 96 x ≤ (x 128 ≤ (& 12816021 mat 07521 mat x linterp Floor 128 x ≤ (x 160 ≤ (& 16019221 mat 75021 mat x linterp Floor 160 x ≤ (x 192 ≤ (& 19222421 mat 06421 mat x linterp Floor 192 x ≤ (x 224 ≤ (& 22425621 mat 64021 mat x linterp Floor 224 x ≤ (x 256 ≤ (& 0 cases :

x mapG 03221 mat 012821 mat x linterp Floor 0 x ≤ (x 32 ≤ (& 326421 mat 12825521 mat x linterp Floor 32 x ≤ (x 64 ≤ (& 649621 mat 25525521 mat x linterp Floor 64 x ≤ (x 96 ≤ (& 9612821 mat 25520021 mat x linterp Floor 96 x ≤ (x 128 ≤ (& 12816021 mat 2007521 mat x linterp Floor 128 x ≤ (x 160 ≤ (& 16019221 mat 75021 mat x linterp Floor 160 x ≤ (x 192 ≤ (& 19222421 mat 0021 mat x linterp Floor 192 x ≤ (x 224 ≤ (& 22425621 mat 0021 mat x linterp Floor 224 x ≤ (x 256 ≤ (& 0 cases :

x mapB 03221 mat 0021 mat x linterp Floor 0 x ≤ (x 32 ≤ (& 326421 mat 0021 mat x linterp Floor 32 x ≤ (x 64 ≤ (& 649621 mat 0021 mat x linterp Floor 64 x ≤ (x 96 ≤ (& 9612821 mat 06421 mat x linterp Floor 96 x ≤ (x 128 ≤ (& 12816021 mat 6425521 mat x linterp Floor 128 x ≤ (x 160 ≤ (& 16019221 mat 25512821 mat x linterp Floor 160 x ≤ (x 192 ≤ (& 19222421 mat 12812821 mat x linterp Floor 192 x ≤ (x 224 ≤ (& 22425621 mat 128021 mat x linterp Floor 224 x ≤ (x 256 ≤ (& 0 cases :

x mapB x mapR x mapG 3 1 sys

algo style function: elements wise function over data data algo Vectorise i 1 data rows range j 1 data cols range Fnct i j el data i j el algo eval : for for Fnct 21 line :

M lo hi Scale hi lo - (M M Min - M Max M Min - 1012 -^+ / (* lo + :

x algo x mapR : red V algo Vectorise : red red 0255 Scale : 31 sys

x algo x mapG : green V algo Vectorise : green green 0255 Scale : 31 sys

x algo x mapB : blue V algo Vectorise : blue blue 0255 Scale : 31 sys

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 red green blue 1 3 mat 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green red blue 1 3 mat 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