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Express"],"published-print":{"date-parts":[[2025,6,2]]},"abstract":"<jats:p>Single-shot, high-speed 2D optical imaging is essential for studying transient phenomena in various research fields. Among existing techniques, compressed optical-streaking ultra-high-speed photography (COSUP) uses a coded aperture and a galvanometer scanner to capture non-repeatable time-evolving events at the 1.5 million-frame-per-second level. However, the use of a randomly coded aperture complicates the reconstruction process and introduces artifacts in the recovered videos. In contrast, non-multiplexing coded apertures simplify the reconstruction algorithm, allowing the recovery of longer videos from a snapshot. In this work, we design a non-multiplexing coded aperture for COSUP by exploiting the properties of congruent sphere packing (SP), which enables uniform space-time sampling given by the synergy between the galvanometer linear scanning and the optimal SP encoding patterns. We also develop an implicit neural representation\u2014which can be self-trained from a single measurement\u2014to not only largely reduce the training time and eliminate the need for training datasets but also reconstruct far more ultra-high-speed frames from a single measurement. The advantages of this proposed encoding and reconstruction scheme are verified by simulations and experimental results in a COSUP system.<\/jats:p>","DOI":"10.1364\/oe.561323","type":"journal-article","created":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T17:00:03Z","timestamp":1747242003000},"page":"24027","update-policy":"https:\/\/doi.org\/10.1364\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Single-mask sphere-packing with implicit neural representation reconstruction for ultrahigh-speed imaging"],"prefix":"10.1364","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3931-0199","authenticated-orcid":true,"given":"Nelson","family":"Diaz","sequence":"first","affiliation":[{"name":"Pontificia Universidad Cat\u00f3lica de Valpara\u00edso"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Madhu","family":"Beniwal","sequence":"additional","affiliation":[{"name":"Centre \u00c9nergie Mat\u00e9riaux T\u00e9l\u00e9communications, Institut National de la Research Scientifique"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Miguel","family":"Marquez","sequence":"additional","affiliation":[{"name":"Centre \u00c9nergie Mat\u00e9riaux T\u00e9l\u00e9communications, Institut National de la Research Scientifique"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2631-082X","authenticated-orcid":true,"given":"Felipe","family":"Guzman","sequence":"additional","affiliation":[{"name":"Pontificia Universidad Cat\u00f3lica de Valpara\u00edso"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7655-9140","authenticated-orcid":true,"given":"Cheng","family":"Jiang","sequence":"additional","affiliation":[{"name":"Centre \u00c9nergie Mat\u00e9riaux T\u00e9l\u00e9communications, Institut National de la Research Scientifique"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5983-0488","authenticated-orcid":true,"given":"Jinyang","family":"Liang","sequence":"additional","affiliation":[{"name":"Centre \u00c9nergie Mat\u00e9riaux T\u00e9l\u00e9communications, Institut National de la Research Scientifique"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8387-8131","authenticated-orcid":true,"given":"Esteban","family":"Vera","sequence":"additional","affiliation":[{"name":"Pontificia Universidad Cat\u00f3lica de Valpara\u00edso"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"285","published-online":{"date-parts":[[2025,5,29]]},"reference":[{"key":"oe-33-11-24027-R1","doi-asserted-by":"publisher","first-page":"74","DOI":"10.1038\/nature14005","volume":"516","author":"Gao","year":"2014","journal-title":"Nature"},{"key":"oe-33-11-24027-R2","doi-asserted-by":"publisher","first-page":"749","DOI":"10.1038\/nphys442","volume":"2","author":"Matlis","year":"2006","journal-title":"Nat. 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