{"id":273,"date":"2019-09-17T13:06:24","date_gmt":"2019-09-17T13:06:24","guid":{"rendered":"http:\/\/winkoms.eu\/?p=273"},"modified":"2026-10-04T07:54:48","modified_gmt":"2026-10-04T07:54:48","slug":"quina-resolucio-ha-de-tenir-la-camera-digital-del-meu-microscopi","status":"publish","type":"post","link":"https:\/\/winkoms.eu\/ca\/quina-resolucio-ha-de-tenir-la-camera-digital-del-meu-microscopi\/","title":{"rendered":"Quina resoluci\u00f3 ha de tenir la c\u00e0mera digital del meu microscopi?"},"content":{"rendered":"
Font original: http:\/\/www.microscopiaoberta.com\/?p=184&lang=ca<\/a><\/h6>\n
\n

\"\"<\/p>\n

\u00c9s un cl\u00e0ssic que els nostres clients ens preguntin per c\u00e0meres digitals de \u201cquan m\u00e9s Megap\u00edxels millor\u201d per\u00f2 la realitat \u00e9s que El poder separador\u00a0( A.K.A.\u00a0resoluci\u00f3)\u00a0d\u2019un microscopi\u00a0NO la d\u00f3na la c\u00e0mera\u00a0sin\u00f3\u00a0l\u2019objectiu\u00a0del microscopi<\/em><\/strong><\/p>\n

En el mercat existeixen c\u00e0meres de microscopi des de 1 fins a 32 Megap\u00edxels , essent habituals els 5 i 10 Megap\u00edxels, per\u00f2 si el poder separador\/resoluci\u00f3 no la dona la c\u00e0mera llavors quants p\u00edxels s\u00f3n els necessaris per treballar amb microsc\u00f2pia?<\/em><\/p>\n

Primer punt \u2013 El poder Separador (A.K.A. Resoluci\u00f3 ) d\u2019un microscopi<\/strong><\/p>\n

Per determinar \u00a0p\u00edxels necessitem abans cal que coneguem el\u00a0poder separador<\/strong>\u00a0dels nostres\u00a0microscopis.<\/p>\n

Aquest par\u00e0metre ve determinat principalment por l\u2019Apertura Num\u00e8rica dels nostres objectius i est\u00e0 definit per la seg\u00fcent formula simplificada:<\/p>\n

\"\"<\/p>\n

Nota de l’editor (2026):<\/strong> 0,61·λ\/NA és el criteri de Rayleigh<\/strong> (dos punts incoherents, caiguda d’intensitat ~26%) — el criteri operatiu correcte per a una càmera. Difereix del límit de difracció d’Abbe d = λ\/(2·NA) (el límit d’informació, basat en capturar el primer ordre difractat) per un factor 1,22 (el primer zero de J₁\/π). El límit teòric d’informació és, per tant, un ~20% més fi que el valor de Rayleigh usat aquí.<\/div>\n

Segon punt \u2013 Teorema de Nyquist<\/strong><\/p>\n

Tenim ja la resoluci\u00f3 dels nostres objectius, per\u00f2, com es tradueix ara en p\u00edxels?<\/p>\n

Per aix\u00f2, utilitzem el Teorema de Nyquist que ens determinar\u00e0 la mida de p\u00edxel ideal per a cadascun dels nostres objectius. Una formula per calcular la mida de\u00a0p\u00edxel\u00a0IDEAL<\/strong>\u00a0en microsc\u00f2pia \u00e9s:<\/p>\n

\"\"<\/p>\n

Nota de l’editor (2026):<\/strong> el teorema de Nyquist s’aplica estrictament a la freqüència de tall òptica<\/strong> fc<\/sub> = 2·NA\/λ (il·luminació incoherent), no al criteri de Rayleigh. El Nyquist estricte exigeix p ≤ M·λ\/(4·NA); la fórmula de dalt (p = 0,61·λ·M\/(2·NA)) és 1,22× més laxa — una regla pràctica conservadora (coincideix amb el pixel calculator de Nikon MicroscopyU), no el teorema en si. Mai recomana submostrejar. A més, complir Nyquist només garanteix que la informació pot<\/em> transferir-se, no que sigui totalment utilitzable: prop de fN<\/sub> la MTF òptica ja ha caigut, i la MTF del propi píxel quadrat val sinc(p·f) = 0,637 en la seva pròpia freqüència de Nyquist. A la pràctica, 2,5–3 píxels per element resolt és un objectiu més segur que 2.<\/div>\n\n\n\n\n\n\n\n\n\n
M<\/th>\nNA<\/th>\np ideal, article (µm)<\/th>\np Nyquist estricte (µm)<\/th>\nratio<\/th>\n<\/tr>\n<\/thead>\n
10<\/td>\n0,25<\/td>\n6,77<\/td>\n5,55<\/td>\n1,22<\/td>\n<\/tr>\n
20<\/td>\n0,40<\/td>\n8,46<\/td>\n6,94<\/td>\n1,22<\/td>\n<\/tr>\n
40<\/td>\n0,65<\/td>\n10,42<\/td>\n8,54<\/td>\n1,22<\/td>\n<\/tr>\n
63<\/td>\n0,85<\/td>\n12,55<\/td>\n10,28<\/td>\n1,22<\/td>\n<\/tr>\n
100<\/td>\n1,25<\/td>\n13,54<\/td>\n11,10<\/td>\n1,22<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Tercer punt \u2013 Mida Sensor C\u00e0mera<\/strong><\/p>\n

⚠ Correcció (afegida el 2026):<\/strong> les designacions 1", 1\/2", 1\/3"… són etiquetes òptiques històriques heretades dels tubs vidicon — no<\/strong> són mesures físiques. Si es calcula la mida del sensor com la diagonal literal (25,4 mm per a "1 polzada"), el resultat de megapíxels màxims surt inflat un factor ~2–2,5×:<\/p>\n\n\n\n\n\n\n\n\n
Format<\/th>\nDiagonal literal<\/th>\nDimensions reals<\/th>\n<\/tr>\n<\/thead>\n
1"<\/td>\n25,4 mm<\/td>\n12,8 × 9,6 mm (diagonal ≈ 16 mm)<\/td>\n<\/tr>\n
1\/2"<\/td>\n12,7 mm<\/td>\n6,4 × 4,8 mm<\/td>\n<\/tr>\n
1\/3"<\/td>\n8,47 mm<\/td>\n4,8 × 3,6 mm<\/td>\n<\/tr>\n
1\/2.5"<\/td>\n10,16 mm<\/td>\n5,76 × 4,32 mm<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Cal utilitzar sempre les dimensions físiques reals del sensor concret de la càmera, no l’etiqueta en polzades, a l’hora de calcular els megapíxels necessaris.<\/p><\/div>\n

Ara ja sabem quines dimensions cal que tinguin els nostres p\u00edxels per a resoldre amb m\u00e0xim detall les imatges dels nostres microscopis per\u00f2 ens falta traduir la mida de 1 p\u00edxel a les resolucions que utilitzem amb les nostres c\u00e0meres.<\/p>\n

La f\u00f3rmula m\u00e9s simple \u00e9s:<\/p>\n

\"\"<\/p>\n

La forma m\u00e9s simple \u00e9s:<\/p>\n

\"\"<\/p>\n

IMPORTANT! Per sobre del valor MegaP\u00edxels obtingut estarem sobre mostrejant l\u2019imatge i no obtindrem m\u00e9s informaci\u00f3. Per sota del valor perdem informaci\u00f3 i no \u00e9s recomanable en absolut.<\/p>\n

Nota de l’editor (2026):<\/strong> el sobremostreig no fa perdre informació, i no és només malbaratament — guanya robustesa de mostreig, apropa les freqüències al tall òptic, i millora el demosaicing Bayer. Els sensors de microscòpia moderns sobremostregen deliberadament. El que costa el sobremostreig és relació senyal\/soroll per píxel i mida de fitxer, no resolució. Un objectiu pràctic és triar un sensor amb un píxel entre el Nyquist estricte i ~1,5× aquest valor.<\/div>\n","protected":false},"excerpt":{"rendered":"

El poder separador\u00a0(A.K.A.\u00a0resoluci\u00f3)\u00a0d\u2019un microscopi\u00a0no la d\u00f3na la c\u00e0mera\u00a0sin\u00f3\u00a0l\u2019objectiu\u00a0del microscopi<\/p>\n","protected":false},"author":1,"featured_media":264,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"rs_blank_template":"","rs_page_bg_color":"","slide_template_v7":"","footnotes":""},"categories":[7],"tags":[],"yoast_head":"\nQuina resoluci\u00f3 ha de tenir la c\u00e0mera digital del meu microscopi? - Winkoms<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/winkoms.eu\/ca\/quina-resolucio-ha-de-tenir-la-camera-digital-del-meu-microscopi\/\" \/>\n<meta property=\"og:locale\" content=\"ca_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quina resoluci\u00f3 ha de tenir la c\u00e0mera digital del meu microscopi? 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