Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Perceptual quantizer
open-in-new
<h2 id="technical-details">Technical details</h2> <p>The PQ EOTF (<a href="/facts/Electro-optical_transfer_function/6MVRUugA">electro-optical transfer function</a>) is as follows:<a class="footnote-ref" id="fnref:20" href="#fn:20"><sup>20</sup></a><a class="footnote-ref" id="fnref:21" href="#fn:21"><sup>21</sup></a> </p><p> F D = E O T F [ E ′ ] = 10000 ( max [ ( E ′ 1 / m 2 − c 1 ) , 0 ] c 2 − c 3 ⋅ E ′ 1 / m 2 ) 1 / m 1 {\displaystyle F_{D}=EOTF[E']=10000\left({\frac {\max[(E'^{1/m_{2}}-c_{1}),0]}{c_{2}-c_{3}\cdot E'^{1/m_{2}}}}\right)^{1/m_{1}}} </p><p>The PQ inverse EOTF is as follows: </p><p> E ′ = E O T F − 1 [ F D ] = ( c 1 + c 2 ⋅ Y m 1 1 + c 3 ⋅ Y m 1 ) m 2 {\displaystyle E'=EOTF^{-1}[F_{D}]=\left({\frac {c_{1}+c_{2}\cdot Y^{m_{1}}}{1+c_{3}\cdot Y^{m_{1}}}}\right)^{m_{2}}} </p><p>where </p> <ul><li> E ′ {\displaystyle E'} is the non-linear signal value, in the range [ 0 , 1 ] {\displaystyle \left[0,1\right]} .</li> <li> F D {\displaystyle F_{D}} is the displayed luminance in cd/m2</li> <li> Y = F D / 10000 {\displaystyle Y=F_{D}/10000} is the normalized linear displayed value, in the range [0:1] (with Y = 1 {\displaystyle Y=1} representing the peak luminance of 10000 cd/m2)</li> <li> m 1 = 2610 16384 = 1305 8192 = 0.1593017578125 {\displaystyle m_{1}={\frac {2610}{16384}}={\frac {1305}{8192}}=0.1593017578125} </li> <li> m 2 = 128 2523 4096 = 2523 32 = 78.84375 {\displaystyle m_{2}=128{\frac {2523}{4096}}={\frac {2523}{32}}=78.84375} </li></ul> <ul><li> c 1 = 3424 4096 = 107 128 = 0.8359375 = c 3 − c 2 + 1 {\displaystyle c_{1}={\frac {3424}{4096}}={\frac {107}{128}}=0.8359375=c_{3}-c_{2}+1} </li> <li> c 2 = 32 2413 4096 = 2413 128 = 18.8515625 {\displaystyle c_{2}=32{\frac {2413}{4096}}={\frac {2413}{128}}=18.8515625} </li> <li> c 3 = 32 2392 4096 = 2392 128 = 18.6875 {\displaystyle c_{3}=32{\frac {2392}{4096}}={\frac {2392}{128}}=18.6875} </li></ul> <h2 id="see-also">See also</h2> <ul><li><a href="/facts/Transfer_functions_in_imaging/6MVRUugA">Transfer functions in imaging</a></li> <li><a href="/facts/High-dynamic-range_television/jzRH1mFe">High-dynamic-range television</a></li></ul> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>"ST 2084:2014". IEEE Xplore. doi:10.5594/SMPTE.ST2084.2014. ISBN 978-1-61482-829-7. Archived from the original on 24 July 2020. Retrieved 24 July 2020. <a href="978-1-61482-829-7" target="_blank">978-1-61482-829-7</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> <li id="fn:2"><p>Dolby Laboratories. "Dolby Vision Whitepaper" (PDF). Archived (PDF) from the original on 4 June 2016. Retrieved 24 August 2016. <a href="http://www.dolby.com/us/en/technologies/dolby-vision/dolby-vision-white-paper.pdf" target="_blank">http://www.dolby.com/us/en/technologies/dolby-vision/dolby-vision-white-paper.pdf</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li> <li id="fn:3"><p>Eilertsen, Gabriel (2018). The high dynamic range imaging pipeline. Linköping University Electronic Press. pp. 30–31. ISBN 9789176853023. Archived from the original on 23 January 2021. Retrieved 22 August 2020. <a href="9789176853023" target="_blank">9789176853023</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li> <li id="fn:4"><p>Chris Tribbey (10 July 2015). "HDR Special Report: SMPTE Standards Director: No HDR Format War, Yet". MESA. Archived from the original on 13 September 2015. Retrieved 21 September 2015. <a href="https://web.archive.org/web/20150913044219/http://mesalliance.org/blog/me-daily/2015/07/10/smpte-standards-director-no-hdr-format-war-yet/" target="_blank">https://web.archive.org/web/20150913044219/http://mesalliance.org/blog/me-daily/2015/07/10/smpte-standards-director-no-hdr-format-war-yet/</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li> <li id="fn:5"><p>Bryant Frazer (9 June 2015). "Colorist Stephen Nakamura on Grading Tomorrowland in HDR". studiodaily. Archived from the original on 13 September 2015. Retrieved 21 September 2015. <a href="http://www.studiodaily.com/2015/06/colorist-stephen-nakamura-grading-tomorrowland-dolby-vision/" target="_blank">http://www.studiodaily.com/2015/06/colorist-stephen-nakamura-grading-tomorrowland-dolby-vision/</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li> <li id="fn:6"><p>Dolby Laboratories. "Dolby Vision Whitepaper" (PDF). Archived (PDF) from the original on 4 June 2016. Retrieved 24 August 2016. <a href="http://www.dolby.com/us/en/technologies/dolby-vision/dolby-vision-white-paper.pdf" target="_blank">http://www.dolby.com/us/en/technologies/dolby-vision/dolby-vision-white-paper.pdf</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></p></li> <li id="fn:7"><p>Dolby. "Dolby Vision Whitepaper - An introduction to Dolby Vision" (PDF). Retrieved 14 February 2021. <a href="https://professional.dolby.com/siteassets/pdfs/dolby-vision-whitepaper_an-introduction-to-dolby-vision_0916.pdf" target="_blank">https://professional.dolby.com/siteassets/pdfs/dolby-vision-whitepaper_an-introduction-to-dolby-vision_0916.pdf</a> <a href="#fnref:7" class="footnote-back-ref">↩</a></p></li> <li id="fn:8"><p>"ST 2084:2014". IEEE Xplore. doi:10.5594/SMPTE.ST2084.2014. ISBN 978-1-61482-829-7. Archived from the original on 24 July 2020. Retrieved 24 July 2020. <a href="978-1-61482-829-7" target="_blank">978-1-61482-829-7</a> <a href="#fnref:8" class="footnote-back-ref">↩</a></p></li> <li id="fn:9"><p>"BT.2100 : Image parameter values for high dynamic range television for use in production and international programme exchange". International Telecommunication Union. 4 July 2016. Archived from the original on 27 April 2019. Retrieved 25 January 2021. <a href="https://www.itu.int/rec/R-REC-BT.2100" target="_blank">https://www.itu.int/rec/R-REC-BT.2100</a> <a href="#fnref:9" class="footnote-back-ref">↩</a></p></li> <li id="fn:10"><p>"ITU announces BT.2100 HDR TV standard". Rasmus Larsen. 5 July 2016. Archived from the original on 10 July 2016. Retrieved 26 July 2016. <a href="https://www.flatpanelshd.com/news.php?subaction=showfull&id=1467719709" target="_blank">https://www.flatpanelshd.com/news.php?subaction=showfull&id=1467719709</a> <a href="#fnref:10" class="footnote-back-ref">↩</a></p></li> <li id="fn:11"><p>"BT.2100 : Image parameter values for high dynamic range television for use in production and international programme exchange". International Telecommunication Union. 4 July 2016. Archived from the original on 27 April 2019. Retrieved 25 January 2021. <a href="https://www.itu.int/rec/R-REC-BT.2100" target="_blank">https://www.itu.int/rec/R-REC-BT.2100</a> <a href="#fnref:11" class="footnote-back-ref">↩</a></p></li> <li id="fn:12"><p>Dolby Laboratories. "Dolby Vision Whitepaper" (PDF). Archived (PDF) from the original on 4 June 2016. Retrieved 24 August 2016. <a href="http://www.dolby.com/us/en/technologies/dolby-vision/dolby-vision-white-paper.pdf" target="_blank">http://www.dolby.com/us/en/technologies/dolby-vision/dolby-vision-white-paper.pdf</a> <a href="#fnref:12" class="footnote-back-ref">↩</a></p></li> <li id="fn:13"><p>Dolby. "Dolby Vision Profiles and Levels Version 1.3.2 - Specification" (PDF). Archived from the original (PDF) on 29 September 2020. Retrieved 12 February 2021. <a href="https://web.archive.org/web/20200929014520/https://professional.dolby.com/siteassets/content-creation/dolby-vision-for-content-creators/dolbyvisionprofileslevels_v1_3_2_2019_09_16.pdf" target="_blank">https://web.archive.org/web/20200929014520/https://professional.dolby.com/siteassets/content-creation/dolby-vision-for-content-creators/dolbyvisionprofileslevels_v1_3_2_2019_09_16.pdf</a> <a href="#fnref:13" class="footnote-back-ref">↩</a></p></li> <li id="fn:14"><p>Consumer Technology Association (27 August 2015). "CEA Defines 'HDR Compatible' Displays". Archived from the original on 11 June 2019. Retrieved 12 February 2021. <a href="https://www.cta.tech/News/Press-Releases/2015/August/CEA-Defines-‘HDR-Compatible’-Displays.aspx" target="_blank">https://www.cta.tech/News/Press-Releases/2015/August/CEA-Defines-‘HDR-Compatible’-Displays.aspx</a> <a href="#fnref:14" class="footnote-back-ref">↩</a></p></li> <li id="fn:15"><p>HDR10+ Technologies, LLC (4 September 2019). "HDR10+ System Whitepaper" (PDF). Retrieved 12 February 2021.{{cite web}}: CS1 maint: numeric names: authors list (link) <a href="https://hdr10plus.org/wp-content/uploads/2019/08/HDR10_WhitePaper.pdf" target="_blank">https://hdr10plus.org/wp-content/uploads/2019/08/HDR10_WhitePaper.pdf</a> <a href="#fnref:15" class="footnote-back-ref">↩</a></p></li> <li id="fn:16"><p>"AV1 Image File Format (AVIF)". aomediacodec.github.io. Retrieved 2021-01-31. <a href="https://aomediacodec.github.io/av1-avif/" target="_blank">https://aomediacodec.github.io/av1-avif/</a> <a href="#fnref:16" class="footnote-back-ref">↩</a></p></li> <li id="fn:17"><p>"Canon EOS-1D X Mark III Review". The-Digital-Picture.com. Retrieved 2021-02-15. <a href="https://www.the-digital-picture.com/Reviews/Canon-EOS-1D-X-Mark-III.aspx" target="_blank">https://www.the-digital-picture.com/Reviews/Canon-EOS-1D-X-Mark-III.aspx</a> <a href="#fnref:17" class="footnote-back-ref">↩</a></p></li> <li id="fn:18"><p>Adam Wilt (20 February 2014). "HPA Tech Retreat 2014 – Day 4". DV Info Net. Archived from the original on 1 November 2014. Retrieved 5 November 2014. <a href="http://www.dvinfo.net/article/trip_reports/hpa-tech-retreat-2014-day-4.html" target="_blank">http://www.dvinfo.net/article/trip_reports/hpa-tech-retreat-2014-day-4.html</a> <a href="#fnref:18" class="footnote-back-ref">↩</a></p></li> <li id="fn:19"><p>Adam Wilt (20 February 2014). "HPA Tech Retreat 2014 – Day 4". DV Info Net. Archived from the original on 1 November 2014. Retrieved 5 November 2014. <a href="http://www.dvinfo.net/article/trip_reports/hpa-tech-retreat-2014-day-4.html" target="_blank">http://www.dvinfo.net/article/trip_reports/hpa-tech-retreat-2014-day-4.html</a> <a href="#fnref:19" class="footnote-back-ref">↩</a></p></li> <li id="fn:20"><p>"BT.2100 : Image parameter values for high dynamic range television for use in production and international programme exchange". International Telecommunication Union. 4 July 2016. Archived from the original on 27 April 2019. Retrieved 25 January 2021. <a href="https://www.itu.int/rec/R-REC-BT.2100" target="_blank">https://www.itu.int/rec/R-REC-BT.2100</a> <a href="#fnref:20" class="footnote-back-ref">↩</a></p></li> <li id="fn:21"><p>"BT.2124 : Objective metric for the assessment of the potential visibility of colour differences in television". www.itu.int. Retrieved 2021-04-29. <a href="https://www.itu.int/rec/R-REC-BT.2124/en" target="_blank">https://www.itu.int/rec/R-REC-BT.2124/en</a> <a href="#fnref:21" class="footnote-back-ref">↩</a></p></li> </ol>