rgb

aad01e38-2ed2-4bf2-9bcc-1bfdeeb1c0a0 3 6 5 auto

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

Fourier 2D Exercise

t0 1 time :

rgb

rgb 3793703503313102912692602792973183383583783974184374574764994974794584384183993793593393213042862692642722873053223383543713884054204364534704874974954804634474314153973813653493323152992822723793713533343162972782612672853053233433603803984184364554744935014854684484304103923733543363203032872712642672832993153313453613763934104234384534714864964944844684544374234063903763593453293793733583383233032882682592742913103263453613793954154314504674855004954794614434254083903733553383223062912772652652752883033193333473623763924084204354494644794904944914804644524354224073923793763613433283102962782622622792943123273453603773934094264424594754915004924764594434264103943783613453293153012872742652672762883033173313433573703843984124254384524654794894944904834694563793773643483333193022882712602662812953123263423573713874024174324474634784924994934784624484324174023873713563423273143012882762672692702822953083213343453583703833964104214344454594714824923793783673533383263102972842682582672812943093223363513643783914054194334474624754894994964854704574434284144013873733593463313203072962852742672692722822933053173293403523633743863984114204333793793703593433323203052942812672592652782903033163283423553673793924044174304434554684824924984944844704584454324204073943823693563453313213102982872782702692722742852943053153273373473583683793793733633513383283163032932822692602622732842953073193303423543643763883984114224334454574684814894974944894794664554444324214103973863763633523423293203102992902832742702732732772862943043793793753673573453363263153042952852732632592652762862953063173273373473583683783893984104194304404504604714824884964934894834724624534424304204124003893803703583503403293213123022932882802733793793793703633533423343263173062982902802702632602662732822903013103193273373463563643743813914004104184284374474554644734834874944934894864804694604524434324234164073963873793713603513433363793793793753683613533433363293213123042972892812732652612612672742822892983063143223293383453533613693773843924004094164234324404484554624714794844874924904864844814754644574504434344254184113793793793793733673623543463403343283213133062992942872802732662632622642702742812882943023083143223283353423483543623683753813873944004094154214274334424494554614674724794824854894884844834813793793793793783733693633593523463403353313253203143083022972922872812752702662642642652692722762812872922983043093153193253303373423483533573633693753803863903954004084144184244284334394474523793793793793793793753723683643603563513463423373343303253223173123083043002952912872832782742722702682662652672702732752782802832882932973023073113143183223253303363413453483533563603633693753793793793793793793793793763753723703673643613583553513473453423393363333303273243223183143113083063032992962932902872852812782772762762742732722712712712732732772792812822832862862882902922953793793793793793793793793793793793793783773753743733713703693673663643623603583573553533513483473453443423403383363343333313303283263243223203193163143113093073063043033012992982962952932922923793793793793793793793793793793793793793793793793793793793793793793783783783783773773773763763763763763753753753743743743743733713713693693683673663663663653643633623623613603603593593583573563793793793793793793793793793793793793793793793783783783773773773753743733723713703693683673663653643633623613603593583573573563543533513503483473463443433413403403383383363353343333323313303293793793793793793793793793793783783753743713703683653633603583563533503473453433413393363333303283263243223203163133113093063043022992972952932912892862852822822802792782772772762752742742732753793793793793793793793763733703673633593563513473443403363333303263233193153113083053012972932902872832782752742732722702682682682702742752772792822832862892932983033063103123163193223253293343793793793793793763723683643593543483433383333293253203143093053002952902862812752712682662642642672712732762802852902943013053103143183233283343403443483533573613673743783823873913954004074123793793793793753703653603523453393343293233163103032972922862792732682642632632672702762832892943013073133193253313383443503553613673743803853903974034114164214274324404484524584634684724774813793793793783713643573483413343283213123052982912842762682632612642692752832902973043113193263343413473553623693773843903984064144204264344434504574634704774824864904894864844824804724634574513793793793733663583473393313233143052972892802712632602632702792872953043123213293383463553633723803883974064144224314394494564644734814864914934894874844754654574504424314234164083973893823753793793783693603493393303223103002922822712622592652752842933033143233323423533613723803914004104194304394494584684784864924954914884804694604514424314214134023923843743633543453373263183103013793793743653543413323223092982892772662582632752852963073183283403513613723833944044154274384484594704824894974944904804694594484364254164043923823723603503413283203102992912842762712722742753793793723613473353253112992882742632582702822923063183293423553663783904024144264384504634754874974964924804684574444314204083953843723593483373243143032942852762702722712752862953053153263363793793693563413293163012892742622602732852993133253393533653793924054184314464594724854974964904774634504374244113973843713573453303203082972852762682702692782883003113223343433553663773894003793783653513363233062932782632602742873023173313463603753904044184324474634774915004954814674524374234083933793653503363233102982852752662672712822943073193323423553663793914044154274394514633793773633463313152992842672592732873043193353513663833974144294454614764925004924774614454294143983823663513363213082942802692662682802923063193323443583703843984104234364494624764864934914873793753603413263072922732592682843023193363533693864034214374544714895014944774604434264083923753583423253112972822672662682822963113253393533653813964094234364514654794914944904814664544394263793723553363193002832642612802973163343533703884064254424624794984984824634454264093913733553373213052892732642672782933093253393543683844004154294444604764894954924814654534364224073913773613793713523333132942742592732913123303513683884074284474654865014924724534344143953753563373203032862702642702853023193353503653823994154304454624794944964904734574424264103933783623473303132983364 mat :

Fourier

1. Define the functions

rgb cols rgb rows 12 mat 643312 mat

M cfft2d M mwfft2 :

M icfft2d M mwifft2 :

s mwfix s mwround ≡

M abs M mwabs eval :

x lo hi f x lo ≤ 0 x hi ≥ 255 lo hi 21 mat 025521 mat x linterp if if :

A robust construct of the Matrix Scale function M Low High Scale min M Min : max M Max : maxmin max min - (1012 -^+ : HighLow High Low - (: i 1 M rows range j 1 M cols range N i j el M i j el min - maxmin / : for for HighLow N * Low + 61 line :

f M Vectorise i 1 M rows range j 1 M cols range V i j el M i j el f eval : for for V 21 line :

M nc nr Pad A M cfft2d : Fourier 2D cfft ≡ insert 'nc' cols in 'A' i 1 A rows range j 1 nc range vert i j el 0 : for for a A 1 A rows 1 A cols 2 / mwfloor submatrix : b A 1 A rows A cols 2 / mwfloor 1 + A cols submatrix : S a vert b augment transpose : insert 'nr' rows in the transpose 'S' i 1 S rows range j 1 nr range horiz i j el 0 : for for a S 1 S rows 1 S cols 2 / mwfloor submatrix : b S 1 S rows S cols 2 / mwfloor 1 + S cols submatrix : S a horiz b augment transpose : 111 line :

t0 1 time :

3. Conclude the zoom demo

practical zoom limit 2 ≤

Group the recovered rgb S rgb 3216 Pad : iVrgb S icfft2d : RGB iVrgb mwabs eval : s RGB 0255 Scale : zoom s mwround : 51 line

Insert/center ncols/nrows inverse Fourier absolute of the inversed matrix scale to rgb grayscale round OFF the zoomed image 51 line

iVBORw0KGgoAAAANSUhEUgAAAGAAAAAxCAIAAACqKDs9AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAGU9JREFUaEON23f8/vXYxvGGUho0tFAqGtJESSqzzBYhDaVlJ0IhmRVpSaXQXjQpZBRFmlRWGlQatlS3Qj3wvO7X9/F2+eXucX/++D6u3/W7rs/nfB/ncRzn+R7X7B/4wAce+chH3nrrrX//+9//+te//u53v/vLX/5y3333/fGPf7z33nu9M/vssy+00EKPfvSj55lnHi8e85jHPOpRj/LPXiy44IJezD///F54s/9aeOGFffiBBx5wq7vvvvuee+5xK397MV6Pf/rY//zv5b+8Fskcc8whqnnnnXeBBRZw8/nmm6+/7u9Fr/1X7/jbNf7L67nmmmu22WYTQ7e9//77e/G3v/2tAAytYMY7nivaP//5z774pz/96be//e1qq602G4A+/OEPv+lNb3r961//mte85oUvfOGznvWs1VdffZllljFOUT7iEY8AwROe8ISVVlppnXXW8YHNNtts++23f+tb3/qe97xnv/32O/zww4877rizzz77ggsu+P73v//Tn/70jjvu8AAoe/Zdd911yy23/OhHP7rkkkvOP//8M88889hjjz3kkEM+8pGP+Pob3/jGbbfd1g1f8IIXPPOZz1x11VWXXXbZJZdccpFFFoE4CDx68cUXf9KTnvS0pz1tgw02eNGLXvTKV75yu+2223XXXd/xjncIfv/99z/ssMPc8/TTT//a1772ne985/LLL//JT35y44033nbbbfL9hz/8QbLF8+tf//oXv/jFj3/8Y5H4ZJF8+tOfPuiggz70oQ+9853v3G233YCwxRZbiOe5z33uKqus4nETgPbee2//t/POO2+11VYveclLnvOc54jmyU9+8lJLLSVEyZx77rlFDLKnPvWp6667LozcRZRgNciPfvSjBvz5z3/+i1/84le/+tXvfve711xzjVCEBaB45DWYrr322u9973tgOuOMM2BqYPvuu+9ee+31lre8BeJbbrmlp0NhrbXWgshiiy3m6TLk6WiCvIDz/hprrLHeeuuVp9e+9rU77bTT2972Njf52Mc+ZqhHHnnkCSeccNZZZ33961+/9NJLZetXv/oVjDAlBuHI73//eykUj/+94oorYPrlL3/55JNPPuaYYz71qU+5zwc/+ME99tgDIG9+85snAL33ve9917ve9YY3vMHzNt10U8nElKc85SmSueiii4oPRtgrk8svv/yaa6757Gc/e+ONN5ZJo3ILGKGD4D73uc994QtfOPfcc7/97W//4Ac/+PnPfy6HAkJdSHkhrOuvv95/iem888477bTTfAW4IB4wuS2YNtxww6c//ekrr7zyE5/4REh5eoqjX2F4U3g+4GMvfvGLZWubbbbBqd13391YjNA9P/vZz5544oloJWeDVjfffPNvfvMbIkrRQoIde/nZz3529dVXYxZYzznnnFNPPVVgwKKPCUDvfve73ddQASQ+vEITiVphhRUkTRqpjKQF97jHPc6bMizPIpPzHXbYQf7dgU5hdPTRR5900kme8a1vfcvzUElMMpbmGQHFQU1AhABHMMEU+w499FADEwYuI4VIEGSjjTZCFinxUI+WLTFkNyElhYTwjGc8A+vBKniClXmckrZ99tkHQ4ElKmAxgW9+85soDAt5wvHbb79dbDAiQGDRo3cEjOnYd/HFFxvLBCDycy/jlAeRvfSlL11//fU5gmcvvfTSEshx+Za/XEmgK664Ig3iEYyKidZw0K0+/vGPU/VwBM+46qqrwIHnoAEQKvEmrwebLrroIknmCMbwmc985sADD+QI7pY9veIVrzDy5z3veXLGMklsiSWWqCxkz6wKcCySJ3AAYT//+c/3FclDcDchFh6C4+7MLgdYww2uu+46OWMCwAKT8Niz15xBjicAcTsxSd3rXvc6MVGZZ8CIVdOUZ0tXJEJyGDEjGEkshtOaVPOjXXbZxR3e9773IcLBBx8clfICrkRWkpYdZN7AQnUw3XDDDYgmY9L7pS99adCb+xqY2GhfYEmPd8ZuAUjeYx/7WABV0VziRPnllluONkuhgbz85S9/1ateJfcifPvb3w56FnPAAQckQ9ZD6dlCzoBZMnrnnXf+85///OEPfzgByHcwiIB33HFHoZA0lUkakZO6pCW0zAhGwoJaWiMBngVTFVAJUNq6GypRDZhOOeUU3A4mbCpdQ3TVWv9kBEoPy0QoLu4rvpgRQCqaowNSeJCUMGnjFyGaQ+Txj388pmNWtc+lquCa98UJUK4KXOIwumSI9e75/ve/v1LoQbh//PHH84cqsnr3la98ZQKQtMtVERgkcr7sZS9DDYN369w6p5xzzjlhhNseT2tYjfaenQWQg0R5NirtueeeWPmJT3xCqTJOiQomorvyyis9W6L4JW9CpZoUhMJtxQWIPiOf4sNB33UH0X/yk5/kdO7MYvjU1ltvjVbGjCZCRZlMHS5oPsBS/mSUYWGcgA0H97Uy4WWw7lMpJEZ4UQBv5qdHHXWUHE8AQjkYyXwPVuw333xzX0YigwcBPpOVx8CI1sBU04hZsPPI+IxK+PzqV79anukCnwdM8pP4FXjDvvDCC3VMCAwL3OGOxA8mhKJ8SMGOWaK6zzAClk8FSpISXtxyLmxOLGbaoXFgyStfJ/y1115b2Lgj7PAaGqzFDS8GIng64FxyTDebbLIJyFAMDqoWyCYAVWU9DIkUSyozSENFIl9DY/1bmq83YUYwojivvVNmfEY1Ud18i+LI3n3cDZvUOE+RFt50xBFHsHCyx2TdGqS4Dw/iUJDCIOjUT7MqL3gWO/jlL3+JdAofAn7jG98ILHAzkcEsQxA/jaMwIqMzvJCLZ6EM/xYkvBBfzHy9mmgI4ItifEO+fQxkmOGLcJgAxC+MQbb9lXnggRCJYARU1DByCfFNBMYaOq/DBhNLQqV6E622j8keg+cRsgEmt2JtsiF6PKURyWeQCpZekSWTXkgpwDwSa6gPKJXewPJX4QMWUwcW3inVkCVD33UH94G7e8qB0o5cOgb5Dy+poqPhrfQIApAxL80wn8Iyo+AbCdObIDM0zPo3QO4oCUYCI05kbO5okFU0iOIICNASRlBPbvXZXMk77itFiA0mvKuIaAV4Kmet0okYUp4VUsaj99XCKnlIgRp8Sl9n8MBi2+AASsyClIttAa65EtIpgrV5vuKLDB43CTnnUtdVd5AxRKOjegMEmWByEuEhAVUiQZaPRIYJNSTwzgSgOjQ+XZ+mISINkIeRW6ADraEGz3YLdY2soI6iYAYQKtEdyKblzTJxG7J0x564OKSQVnBI6ilKeO2cANg5Z0GBwDJrwQutCmbxIOWPxGDBmPRyoIlfUINXBs/IzLZ0EgiIYplXkOkehiTlgyEq8yTv0XST+RryaFABxyjQx/AnAPmcv805pDeY6YKSjceoKmowIkt+jEoGX4tEXMiJQWCCkb/8G1LpDqEIE6aQgi9OMX4ZI16eKofIj1Ye56EErohgFsnTILdCAXWXfLSRpkvUpPpqF5iRZtdUpm4YNKMhhpSLHsOLVGuOgQtiqOkkAJc23RbRPIKX4ZqHIjWugQJw8iekmblY7wIojAhB0JkRdTA8WkMBRKjJpuFpmJp/MzzogIn0INViBelBCmOjrm9VNdAKWHAHlvvLhGeRtkwOcsFLYASiwEs7fpmUGI8WiYjwwiAVOK2TmqgzgBruUKVWCzqIpj9uvQXjvK5dhp0qSZ433XQTlK00UCiSBlz9Kv66VN4JQMxMIQsgbAKbfOob45GaLdUSjm+VNoozPIOkW922YfOdurVRU3GKhuNU80zmB0RgqSPAUhYxy9fdRFcSXpELw9VaDyXGAZl46BFkQ5LMhSoRzTA4NNToiAERpkpnqFz/sssuUyLN2vlUCtVn4RT4XMACHLzCURHwjgsxweeFm8zMxbhAAMlYJKJMMGkd8+ymaeKmOGxiTNik16IaLsPMDNWAc3EOxbDV0YoCsDBrXC16ta6mWGTt8K2LY3NBxjg9AmQErm/AMlwWBlWitqjkD2rV32ZbuEae6KbNwzjYaZpg13winerCwMebwId04EMfCAJFq1FNwCx/FQTGPwGo9YpaagB5GMN3wYhnM7CcH0yZf+YNKdnOwiUfBTgUo2E3qpgiCixjRhZWhVmwYEwtAyLULHg1kwoygkXGUMNNqCVMN0dbRRp26qOeUDcLO8FQqKoCPnwXKvi4BBMxhODDO+4GQd6cYJkO+GhWWdBScbqUq5KSGKFhn3/OLJjl026UW7uQGUbyQ4ASlStl9ZY4IIVQUkp6cUqeB1gGwKqwwJCYOlIYoXGmRCM3fiiQG5YBpYZtrK62oIFocGy+jonkqcEDNMZB3E1Ar55Kg2R4hAd53FCrtIkHgmKDoDjRPw4C0SiMxXSM3yFBimnZJxBIqko3AQh9cKc5R5M3L3zO69iEYr7sLpCqDyA91YdDBZbsYVZ4cZBBLklOiUEm+bGMJDGCKgfRAKfVpE3YgQB2qAQU8OFdF5hcvYBpkwb/hLIPD/h4nJt0ueGAUnoUX+zGcWhyBnwUj8CEl6LB6gKrfCtK5DwBSG0DgRdI+FCkwDSQQtcaB7SqISBA5JIKrAYZGYJMipQkuQIc1EhS9lJlXPNs6eX3YiJPDQSFsjP5F7HQ2RAE8SK1Yl+CZXCgNGwouECJU64AhdTANDSD0t+mr01cm2f4VnMON0Fnr0duPAJJfQV2/y+A6pWCKfV1IVeQ4VeooVhX5pV/gQ/jUJo74PYAEfXCEfuYiAuOOMiPB5psTj7rd+Mj94mSrmCNmGCNm9gxwB34BjESDaC9Bjd++UutNSI1wFVkyErYzGSV9h4qsXAJlEzKX+rLpPqvrgEZArr8s4nLQDCRdoFycJCPQhMTB6D42EXIroEviGe54mygEzvcg74L+qCv+IZ+RC4HEiANMZrNSwNSlwy87q8EoP/McsdAYdqnh2H34mH+a5ZPDgRHjz79gQHrNL6zvAnisB5XTey4gh7uXYE+cCd/0Lu86CoTIxnyMbLitUtKonwv8lmfn9kXG9YzC1KDQQ8P0MBuepx9ZZYRDk6N4U0zi0hzt4Y3hvRfKRa5urCJhIeKcSpaxaw4xRm7knbry1wymSNaf7Em68QyX58ApJgJ97+adAD5O/0iM2py2/hzotqCMjmSlnbqEqYHQx3Dj8Q6/EiILq5UWSSN4UrqYxdp0MXoLYY9DctnUuyJg7jqY4c3DXuqhqprVVIdg9etGfknG2LnbjKz3PHwVSw4wgIoUIjVMlyeswzjl8N8odRVzmoCsoD6gAY5KlrTlzG86Z6g4U1XtPp1I+GyRmUkLv5qYC7VpwJXnzUKnCJVzaqK1ZFW8nq/2XXdf9MArayn/3eTnlZWdosgg/xJNDhiQXTNDqHA/0Y3xPzKsOpTOVd0JFYPUtEZnbcEmqAZec1kg6wYjxLeKYFaynF5p0bJaLsMr2/5uptM95bu7ym1l9rX0RaJREhd4pQkcUrqBKCHXhWmtJNe0KSaTe3NYOsPk8BDZx6eUTMdEP9XP934W8ozTk1z1/SZBa+90/h9smEbMwTxRWGupa6EGzbt1Aeq/QLQBwhGeipPtCngjCYnYk/TjbVhGqxRowUQJgBBQYtYg1MPHWsSkQtfqqnulZM1HfMwj4wgTcegLrIBR6puOlZTF5nbzDKZaD4xriYWY5G4zE9PKRp8M7IWADy6CS3Otmxi5JIniwiuEpE/jx/zMuMyUqsXnNdkwrTWMlDzMpd5mZltmwvWUuwRzCx3zDKbb2LivnUiLQy1fgaXsVzNOKLiWCFiEAis9TJvaHm8cxoB0UmEVj+8gxq1tmN26otjboXzzQM4bhOrZlVyI0PiaV5K6S3jSnPdnGQbvyVKg2+V0sJba2+mo62KNK1vLWms8JrcWxtqac3k3qqbxblZAWovJcihk92CRlhj2QxXW+gYC4xwwXCgtIHXrD1Exqy9/U9SQiKIoAavgSZRtIvghm6LEWwLFoMOrW/gAvIDolUhqw6SanHDqhAK2NuQfyjIuXl5EKCAlQ0QmJdbSLSyYTmtNQ0rsy7rjRbVrGxYEmqRu+My1oy8aZnNksh/SKwmuDXa0GnWTrTU1MJr0JgrmSgZmxE2c2ntlXG2qNhSWYuK3oeaz0SQ1i6mEaFTRa09PHBICTj0B8rCUAQsYkRLsQFhW9HqxPRSbIs71gmdD7I8FgqtyXZKyNWaLDj8V+dgQNaOMxDbs7QWjlkzhxeGSQOIsjKd0Gm9tf2ftjda8RmUqSIS0SyLrZ0paDGMg86yLD1WWluWRhBKgYjctKo5vczaeo1DIMHRtofl0UEKY7PGahUVCm2rSX4ouODivyBlGQyDyAeIvks+Fn0sP1r94TjgpkE0tBUsE/JBp/T0H8sdACIukmbJAx3Eaat+GA01NbsDQSd37GpYh4YRHeELM1ZcfGysQLeYQDv8q+Xnjie1Vq8sWHJpY2PsAkHEqnALgGRioT6N4EWiaI0ZBMEBHaSwkGpF1YIpBqGSrwwsAOGeSGGRrL0NKDAs+cBTliJDbdLKGUvherzl37P5ZpjNQZDcMDKd9nzYjQpiTqwqEQvJqMptsbZE3y4r1OioZZc2WlteYa7I2HmUdsGnNxGFK2g0sdvTjmvGaRMC7WVe/rEAHO3zdLawVWSIoA84+KuF93gxNvWtt7o53JFC2aKVNtmRQI2DRd7auREXffANhZJ1SD8zmQAkdZV9hcAAEpdUt5NhkPyiEyetA+DIOCUJmtSkZpFSW926D5h2MgbQ7e2AvtMByKK+tkthc9VqsdzavZreAqOaaNKBHZfNL9CMzdV2I7CjzWiWTCYqFKBppM3COhi8qKFFh7HvgNGC5BVyyRaVl9ruhtbWg9xDagKQezUnNgD3ahsjdPgOdOJOByfcgqZsqCLO2FAFXNAgmjz4olA4riabuWBvW6lteMGF2rE9XDiiKmPHRn2ljjYYwNHePMp4B00oCyjjLAOOQKTteYhAHO6jwnTCwCiwg1KE1HazHBtFK5Ydl2kLrzlHGPlfH2uB2EAmACmZ2XNHOQ3MfemCa4AZd8AMAt9vVz50aKqtwfaaORSfEg3qKXxEOijD7TrdxW7HZvzAhTra/IMFUMYBD+90epBwlNsOeNCg+hUoiN+GsgRIgya2o0NjK5kD1nxg9/T6d7sDAPImOHiCGoIsHSkYZ2IQhRvMLNqzSfTxmNwHfTymA6edUAItdDpD5S/svdMRQR1dt9YKSFqs6WwSbnbyNCkRgnGOgy/qK1vtNHZ86WgeyNSaWQ5TpR2gYCJQEk6nXgzJ08XA9YBC6cMlEaRZi798oGVD+a7PILRx5MWtkIM3IQq6dBIUMWf6oE6Y+QTYOuyWuDo1AubBHejgpHegJppOTwnRt6aPmmLNgEbaHdYcJ12MXwMSX5wJ6kBQR6fUnQ53UlCngWwKPvSQWadztJRAMVQDNuzkjx1NYkdH6r/wqLOePt95uNqLjlZ2iIn8O+7F1130KwxJndk4VPDlpCloB9ygS1wdeSHRzrvEHXmQJeh0/k4f0Pk7mmJknQDEms4BgaYD5jxVP6YY5bsdU9S2qVCKNx2xW5bUkTIiGudetQI8fhzolI+OdVVPa1Cb3NVktNPdKcrOdHYUoPNKggRKMxIbZOL0LHFKiadrr9rCVzrF+e9DnEZFb63duF0mjz4dCPJgP0iAEXT8U2Sw84FOc/tK5yMxUyntcCSvUbDVF9WaAccaj4SLY9PUhDJ81wEXlEEu/iJKJiWH41Bi7VhGK6SO4LAM/K1rb7oLneGGQJE2bhipR2yEgyasEB814s3IdIk6LCiIUPJQWDPVzzBUzH/84x+66gmDIMqDQNvyBX115E/9EwpQ6nfIuDOkilpn3flxsuI47oOl/SyhI/cY0XHy5jWgcSlPggANQqGVngWOKENK/T4B4Tt4P84f9tOIfLDDdG0odtSmBcDpQ+VGwUk7fg8UdDZT6wAgemqyBIYjAlMc9A2u2qtaTRyXTsUBr5nmBKCWSnVAHd82cszsAJapdmVLotg+Qslh3IGO9PoWdIasxilyxAEBIDr3izUE5bVESdeAxufNrYifCXYAsG5FD6VJ6wj5dMvej2VEJbZKZwoyjxMMxtVScEBHs8wbuNhgCjoYtgBwGRa14KO30nkJDJvkrDO2LMJNZqoYgfRbDczsXGKH20VTr4zSZg/sEM/FxOfosWPaUVc0ZAVyemEoJs3y4/F+q9FPWnhNHqyQiaBj49IrQ6Ah0povN+9XLTUWHalxeQEXfNGhdLQ+EQ1cFM1+2KLeDYF32j+B8zv87YyaVIkHiTqaxgqE1E8jgNIR7VbOZvogrEZLXlvqWEz0EVk/1Mh6ACcyrozGpQs6/QJB44e9JJ3D6WJQ5sEHHxQQ3gqR3PwvLxS9zzPIWAMazAVNh2o73q8stDDQ7zM8vWPZypDCXBcqoxmfZoKzhIvmUwJ0nrw2TwFHR0IlScNZb9VvWHy4qVm/Fxm/YVFwGJ9nzZwwU/ONtkZrJLCtxRYuIMUaZdV3oGP+YlS4I/m4kyUzndKFw3KFNdARXCfERYy6/QKp8tRvoQgKGQc0CAKazqt1PFSdApkpUseaPbpfh4xfGfX0zmNQrgCkR0pyPdL2oh9CyRB2y6ISLgyUl1qg9DuaJueqgckACssH7/fiXx6tVb/ZRYaGAAAAAElFTkSuQmCC zoom 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 rgb

The Smath, native image region is zoomed ~ 3.9

lo 20 :

hi 200 :

x f x lo ≤ 0 x hi ≥ 255 lo hi 21 mat 025521 mat x linterp if if :

Typical RGB light intensifier

x f

Z f zoom Vectorise :

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 Z

1 time t0 - 77 sec *