<p> rgb </p>

237a0544-c326-4a9e-b738-51a1b56d9d41 14 4 5 decimal

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

rgb 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mat :

lo 25 :

hi 230 :

Smath 5346 takes "if/else"
linterp. 6179 does not x f x lo ≤ 0 x hi ≥ 255 lo hi 21 mat 025521 mat x linterp if if :

Typical RGB light intensifier

x f 1 1 sys iVBORw0KGgoAAAANSUhEUgAAAEAAAAAhCAIAAADmozp2AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAA0rSURBVFhHldlltFfVFgVwB/HgSYcK0iEhoCiKdIdBI40iWCgWKt2ldCjS3YgojQMLFVAkFCxAERAMkI7v73dddxxCHcN3PryB93/O3nPONefa8a7r16/fiy+++PDDDz/wwAMVK1YsVqxYlixZ0qVLd9NNN5UuXbpGjRotWrR44okn+vbtO27cuAULFqxfv3779u0//vjjhQsXzp07d+jQoS+++GLDhg1+mjBhgtGefPLJli1b1q5du3z58gULFjRaxowZs2fPXqhQoTvuuKNOnToG7NKly0svvTR8+PA33nhj0aJF69at27p163fffffbb78Z88yZM4cPH/7yyy8/+uijd955Z+7cuaYeMGDAs88++9BDDzVq1Khq1aplypS5+eabDXudKY3VuXPnJk2aVKtWDegbb7wxffr0mTJlKlCggCnr1q3bpk2brl279u/ff/z48YCa77PPPjtw4MCpU6cuXbr0yy+/fPPNN5s3b3777bdnzJgxcuTIHj16gNisWbNatWrdfvvtoGfLlg0NY+bLl8/cENCrXbt2Tz31VO/evUeNGuXDpUuXEgKT77///tdffz179uzp06ePHTtm8G3bthHOC1OmTHnllVd8Qiaf33fffSkEzEdjwsBqvsKFC2fOnDlt2rQ5c+ZUEGVp0KBBTOblMWPGkIQwn3zyyddffw39xYsXaaYUu3bteu+995YvXz5t2jTTGPbRRx81LNXvvPNOQ91www3//fPJlSuXWcxVs2bNxo0bd+jQ4emnnwYLed+qydq1az/++OOvvvrKsCdOnMDkjz/+UBZ/2bJli1+XLFkydepU76cQ8CVwZL733nvBLVWqlCL858+HkUqUKFGpUqWGDRvioA59+vQh2PTp0998881Nmzbt2LHjhx9+MDoaJ0+eZC1/QcOvRB09ejTvGTzUIny5cuUUhDRoKEju3LmDSfXq1dUEhscff5ylBw8erNqzZs0ih7IAvWfPHmSOHz+ODEpHjx799ttvP//88xQCMD3zzDMdO3YkBkluu+02gyq6JFx//fV58+YtWbIkDurQunVrE7DcsGHDXnvttfnz569atYpT+fWnn35CQDD4yr93797NVH71jje976vHHnvMCLSoUqUKJmZBAA05yZo1K0+b6K677pIffsaZL5AZNGjQ2LFjybF48eI1a9Z88MEHNGKzn3/+2YwpBIj0/PPPi4FyQ6kIkpA/f35GSpMmjQlwUIe7776bGTi7U6dOCPvq1VdflcKFCxeuXr0aDaBVg0hocDB3yaXEK8hbb701Z86cSZMmYcJaHNy+fXuSC0mFChXUXN6UJciIJjK33HKLBKqM0j344IOPPPJIt27devbsOXToUMWZOXMmp5k3hUA0IoOqoIwb1JcQw21EYVBupipatKhaCzqnEZK/0fYtI06ePJnSQgyrfItdyHP+/PkIIiaaFfHUxMTsy10DBw7s3r27shAbGcLT7tZbb+Ux06lJkEEMPXigYkIFbN68udiozwsvvJBKgCr4kVYR4IMSVhpQIrqqPOTIkUNZVJlmnHb//fejoduohhTpiSGMeBEGVtpjcuTIETXRHDHxDz7eu3cvku+//z4yXMEbuiRdDQIDpQ1LdTrio2URTu9CAyUYPJqBBo2STp1KoFevXuTkb2IwCSPh6mdwsfdNhgwZohRc62N/11jU9xo9+GrEiBGYgMVaavLuu+/qVzt37gzX/v7779wlJ8gI4r59+xhP69QPvKw4gjtx4kSD6Np8QWZrFAuhpESiKKKUlZ88efIAlkogXEQASSCADOEAH5RqSgNvEwCNSLYvFcffZZFOChJMOJsl1IRZLT1CAg0yVg8x0MtFhfy64f79+xGwcqlM8NH7NUq9BVtthxuVSO+fN28ey8mx/MSqpRkyC8PT+jIBRWApLQ+H+C0hrRRiXaRIEakAXR2sdLHYqSwmfsITW+1F0H3IioppKAMyukanM0oLPlowTJDBpz6aFUrqoEQMJjBYyY9eiZL/ZEK9AWeeVEzE9CLtlSgce5lArGiMZE3hbFoqnFKIhNpVrlwZPo7kPCGL8imFmoiHVVZ9kMFQcb2j0Bpi8DFC06ZNFVanNrLxKUUvJSKqNAcr66NIrFixQoQ4ykKGmMXRcslpuHGgzqZWfIiYAuJ2FQEOxoFgvKQpyVPQML0uUb9+fcGCCTL41KR48eLIAG1lRQAfTDxKFA1EYPzqHW8qkUrqxdLFckbTBrguiKmVBJrX7LgJgFhbzi386FmedWGSL1u2jBUx3LhxIzdy2lUEoqX6/uWXXyYSK3MbTzMcJmYyn5qY2PSkFRKpwgeysmXLSrb9Ariahj6oIDggZj3BLZbe6CQIe0EZvaliQkkOouhv99xzD41sIo0fJJm5VatWDBk84YEqofo3BIKGphZMhJuvkOFmPUH7x0cbNiJKNp4msISbSY7r1atnYtMDAQpujKcj857VClC5x1BnUxkcNERV8mCLGMJ2APEkHdN2xsuShq0G6MHZOKpKsn8kEDTiYS0pxEdv4TF9ACu1Ruy5557Dja2pgh4bYEgnJAkWPNu2bYsqK0o2tmqIME/iLB7aXdDmT9ayBAV5ZlMQ/JWXBNodFfiQEHDTAgHPvyJwJZm//hu95MEzHgW88kE+HhIkT2jhoYWHaUOReOz+ScMq1PGoP408wukJsdjp/yPwV6BJWZgtqUwC5UoQgSCZO6bXlKJcVquomLCpmD7O94oWdYvS6SVRPfudKGDqeeCfBA64ATHAQQYTVcIwEJje3GGVmPXKVFzjEPbQjsMe4Q3BZQwJDlfoAZYULhcSpvcIugxEWiIwGoDARGb8++8roPrqG/GNlhq9CFDyUCUJLgc7BvGu5hipteXiV5iSyEZTiokjqdGa4okFxK/wwZqEFRMjML0AYGu91/FIYK5oUORXkGsJgJ70ULiVWGVJq4hq55tkNaAirNE99QSyxYKggUTfjDVB64yWQjxyktbLVjokfQ5WNE0qKBdA1KFRsjIwHhFZgBfsXi18tiexONhf2DhdRYBbqM4kHGIV4wp+MCjcJsDefPSIJQxigkEGLqCWZE90elipTsIAqplwTixevEsLEBlPv0rwWbmGDBli5bIzff311+0RbDdiYU52HJYte3KHJ5tca/PBgwevWolRZHTBFy8CcHOyj1A7aqkmj9pRwwc0uLZDoFt0CQ8xaXHjbF4Cl7uMYBzGg1UnSTZFgNqxOqFbX+1AnT9tb2xybHVseEB0foDP3sF2yKYotnq2D/5iwwe9d7z56aefXq4A02teomk+wpOK6uoLeuzkGIAZYkPqfymtAlYlFgIaSVum2MbpJBALDzeS1lGBrgHXacGFgI2ArY4TbWxLCQmfg3VsS23mYLWBcw6ODZytka9iZ2pbYTT7bY5imVQC5CcP57h4gV6HEhSGYXFuESzQbdriSEBvdZAwdsIQT33NUhV7zwCdbKTjVBCIGUD1nZjBtd90lwG0nVmyi6ZoYGWe2bNnO0zbwNrGygA5BJKrbWfUVmzA489UAt5gfW+oODTQyyjPEF5zkEiHY6qDLoXWQrY2hNjJnO4UuJ2+bS0dL+0reddtgq2yAzg/KH1yLmOJQOwnL7hlsjcmrQ/BpauhSCkkwJgiOZolBqZmHDUvt1HfAME8FgtRY2Lt2ZbDS3BDH7cGqqGjgc4qcSzmOtXjaWpxCDfDreg8ygNx0+YIRm+gyc8SDpM0Zn1m0E8IbHYdT/Coa1uhqmqrARBL3kwdeyRw4zAYh2N1uHygicM1xpDpNkpDe+jZhuO1GmOhpJmgx2PcomJxoncxYaML04cffkhUCbNrD9zElkVkUHIcsxnWXjgYaA0jTrDsSmMLiKQF4lgc9AarBxHZmKBMoSVo6KGa3YoYaKap1yrQcAJCDE1j/vZx5BUNSbVkxt2TgKqv9FBd0UFProZgjRsu5pZLBxGNL64Eie06DGET8UZMFHcQQJOWS2PFUGfax71BRCsQ+1auEn8KlcCQJvViS0TioibuTWU0LlRoD70mYzjuQtJYvE5Fhlm5cqXbB4cmF3JMEpdzaPiLv/vVO9olW/sqBNKpiA2inkZjuOnt32HOAG2ViCutuJ+La1NR0QacPM2lB+hXxGLRFALkJCr/cBXqxoIbekNjQnvjmpttOM1ByUKjS5DWnauDrHS64nU2B915PO4VSc5dRgaFipErJiEwaQK3f+sH/n6lLZ0znd+dMAM0meNSEdy4VFRbFzOmVgQTpRCQIWUCEVCGsyRZnixShDGlSDAf9CTR0bVzTUOzI4ZxXV15NBnVpLoRza3WcbMrlCSXOYkiSuwsmJNFdbnArfXZIxKbobUvdZNyQlCaNNyoqkCj4fYFpbjWNYUYaDyp1+s2DrY6Mqq4TB/m0bYsT0Km+uaA3peOpA6jhlNHwhtdag1tKWUYXYXq+gHocbeub0hknPrZPerJjZIgD9zl/1WA21qBf4hC6WgA1jhdi1hxVSxFOp4VXbeECloR+h+6FzfRjF2z7gAAAABJRU5ErkJggg== rgb

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 :

V f rgb Vectorise :

V 25525525525525525525525525525525525525525525525525525525525525525525525525555 mat

x f 1.3 x lo - (* :

N f rgb Vectorise :

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 N

EXPLAIN the BUG: Smath 6179 supports the Vectorise(f,M) ... QED: f(x):= 1.3*(x-lo) Does not support "if/else/linterp" ... V is all 255 [white]. Smath 5346 responds correctly to V:=Vectorise("if/else/linterp",rgb)

This part below "Fourier zoom" works well

1. Define the functions

rgb cols rgb rows 12 mat 643312 mat

M cfft2d M mwfft2 :

M icfft2d M mwifft2 :

M abs M mwabs eval :

2. Fourier 2D Procedure

V rgb cfft2d :

iV V icfft2d :

Fo iV abs :

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 Fo

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 :

s mwfix

s mwround

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

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1 time t0 - 92 s *