A method of tone reproduction curves computation by means of gradation trajectories in the form of Bézier curves
Tone reproduction curves (TRCs) have long been the basis for color adjustment in printing systems. Moreover, new algorithms for their processing and calculation, including tone value increase (TVI)‐based ones, are being constantly proposed. However, due to the fact that TRCs are just one‐dimensional...
Gespeichert in:
| Veröffentlicht in: | Mathematical methods in the applied sciences 2022-10, Vol.45 (15), p.8940-8947 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 8947 |
|---|---|
| container_issue | 15 |
| container_start_page | 8940 |
| container_title | Mathematical methods in the applied sciences |
| container_volume | 45 |
| creator | Tarasov, Dmitry Milder, Oleg |
| description | Tone reproduction curves (TRCs) have long been the basis for color adjustment in printing systems. Moreover, new algorithms for their processing and calculation, including tone value increase (TVI)‐based ones, are being constantly proposed. However, due to the fact that TRCs are just one‐dimensional curves covering only one colorant, they are not able to produce an exact match of all colors. Color adjustment with the help of the TRC is unstable, that is, a slight change in one color channel has a dramatic effect on the color reproduction in output. The use of gradation trajectories (GT) as an analytical model within the CIE Lab color space describing the behavior of the entire color gamut of the reproduction device makes it possible to more accurately adjust the individual color channel. Describing GT using the parametric Bézier curves further simplifies this process. In this work, we use GT to fit the TRC/TVI with the parameters recommended by ISO 12647‐2:2013. |
| doi_str_mv | 10.1002/mma.8258 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2710007269</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2710007269</sourcerecordid><originalsourceid>FETCH-LOGICAL-c1848-743d48b8c7933fe41e915c853ab976b2d2ab6a9a1b71cea105f5dae027fc4be03</originalsourceid><addsrcrecordid>eNp1kE1OwzAQhS0EEqUgcYRIbNikeBwndpal4k9qxQbWluNMaKombu0EVG7EObgYTtstq9E8fe-N5hFyDXQClLK7ptETyVJ5QkZA8zwGLrJTMqIgaMwZ8HNy4f2KUioB2Ihsp1GD3dKWka2izrYYOdw4W_amq20bmd59oo-MbTZ9p_dSsQsO3frB8OF0eVA7p1doOuvqgNdhX2JUWdcM1P3vz3eN7hh2Sc4qvfZ4dZxj8v748DZ7juevTy-z6Tw2ILmMBU9KLgtpRJ4kFXLAHFIj00QXucgKVjJdZDrXUAgwqIGmVVpqpExUhhdIkzG5OeSGd7Y9-k6tbO_acFIxEaqigmV5oG4PlHHWe4eV2ri60W6ngKqhUBUKVUOhAY0P6Fe9xt2_nFospnv-DwjXeSY</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2710007269</pqid></control><display><type>article</type><title>A method of tone reproduction curves computation by means of gradation trajectories in the form of Bézier curves</title><source>Access via Wiley Online Library</source><creator>Tarasov, Dmitry ; Milder, Oleg</creator><creatorcontrib>Tarasov, Dmitry ; Milder, Oleg</creatorcontrib><description>Tone reproduction curves (TRCs) have long been the basis for color adjustment in printing systems. Moreover, new algorithms for their processing and calculation, including tone value increase (TVI)‐based ones, are being constantly proposed. However, due to the fact that TRCs are just one‐dimensional curves covering only one colorant, they are not able to produce an exact match of all colors. Color adjustment with the help of the TRC is unstable, that is, a slight change in one color channel has a dramatic effect on the color reproduction in output. The use of gradation trajectories (GT) as an analytical model within the CIE Lab color space describing the behavior of the entire color gamut of the reproduction device makes it possible to more accurately adjust the individual color channel. Describing GT using the parametric Bézier curves further simplifies this process. In this work, we use GT to fit the TRC/TVI with the parameters recommended by ISO 12647‐2:2013.</description><identifier>ISSN: 0170-4214</identifier><identifier>EISSN: 1099-1476</identifier><identifier>DOI: 10.1002/mma.8258</identifier><language>eng</language><publisher>Freiburg: Wiley Subscription Services, Inc</publisher><subject>Algorithms ; Bézier curves ; Color ; color adjustment ; Curves ; fitting ; gradation trajectory ; tone reproduction curves ; Trajectory analysis</subject><ispartof>Mathematical methods in the applied sciences, 2022-10, Vol.45 (15), p.8940-8947</ispartof><rights>2022 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c1848-743d48b8c7933fe41e915c853ab976b2d2ab6a9a1b71cea105f5dae027fc4be03</cites><orcidid>0000-0001-6911-8371 ; 0000-0001-7828-032X</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fmma.8258$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fmma.8258$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Tarasov, Dmitry</creatorcontrib><creatorcontrib>Milder, Oleg</creatorcontrib><title>A method of tone reproduction curves computation by means of gradation trajectories in the form of Bézier curves</title><title>Mathematical methods in the applied sciences</title><description>Tone reproduction curves (TRCs) have long been the basis for color adjustment in printing systems. Moreover, new algorithms for their processing and calculation, including tone value increase (TVI)‐based ones, are being constantly proposed. However, due to the fact that TRCs are just one‐dimensional curves covering only one colorant, they are not able to produce an exact match of all colors. Color adjustment with the help of the TRC is unstable, that is, a slight change in one color channel has a dramatic effect on the color reproduction in output. The use of gradation trajectories (GT) as an analytical model within the CIE Lab color space describing the behavior of the entire color gamut of the reproduction device makes it possible to more accurately adjust the individual color channel. Describing GT using the parametric Bézier curves further simplifies this process. In this work, we use GT to fit the TRC/TVI with the parameters recommended by ISO 12647‐2:2013.</description><subject>Algorithms</subject><subject>Bézier curves</subject><subject>Color</subject><subject>color adjustment</subject><subject>Curves</subject><subject>fitting</subject><subject>gradation trajectory</subject><subject>tone reproduction curves</subject><subject>Trajectory analysis</subject><issn>0170-4214</issn><issn>1099-1476</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kE1OwzAQhS0EEqUgcYRIbNikeBwndpal4k9qxQbWluNMaKombu0EVG7EObgYTtstq9E8fe-N5hFyDXQClLK7ptETyVJ5QkZA8zwGLrJTMqIgaMwZ8HNy4f2KUioB2Ihsp1GD3dKWka2izrYYOdw4W_amq20bmd59oo-MbTZ9p_dSsQsO3frB8OF0eVA7p1doOuvqgNdhX2JUWdcM1P3vz3eN7hh2Sc4qvfZ4dZxj8v748DZ7juevTy-z6Tw2ILmMBU9KLgtpRJ4kFXLAHFIj00QXucgKVjJdZDrXUAgwqIGmVVpqpExUhhdIkzG5OeSGd7Y9-k6tbO_acFIxEaqigmV5oG4PlHHWe4eV2ri60W6ngKqhUBUKVUOhAY0P6Fe9xt2_nFospnv-DwjXeSY</recordid><startdate>202210</startdate><enddate>202210</enddate><creator>Tarasov, Dmitry</creator><creator>Milder, Oleg</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><orcidid>https://orcid.org/0000-0001-6911-8371</orcidid><orcidid>https://orcid.org/0000-0001-7828-032X</orcidid></search><sort><creationdate>202210</creationdate><title>A method of tone reproduction curves computation by means of gradation trajectories in the form of Bézier curves</title><author>Tarasov, Dmitry ; Milder, Oleg</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1848-743d48b8c7933fe41e915c853ab976b2d2ab6a9a1b71cea105f5dae027fc4be03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Algorithms</topic><topic>Bézier curves</topic><topic>Color</topic><topic>color adjustment</topic><topic>Curves</topic><topic>fitting</topic><topic>gradation trajectory</topic><topic>tone reproduction curves</topic><topic>Trajectory analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tarasov, Dmitry</creatorcontrib><creatorcontrib>Milder, Oleg</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><jtitle>Mathematical methods in the applied sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tarasov, Dmitry</au><au>Milder, Oleg</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A method of tone reproduction curves computation by means of gradation trajectories in the form of Bézier curves</atitle><jtitle>Mathematical methods in the applied sciences</jtitle><date>2022-10</date><risdate>2022</risdate><volume>45</volume><issue>15</issue><spage>8940</spage><epage>8947</epage><pages>8940-8947</pages><issn>0170-4214</issn><eissn>1099-1476</eissn><abstract>Tone reproduction curves (TRCs) have long been the basis for color adjustment in printing systems. Moreover, new algorithms for their processing and calculation, including tone value increase (TVI)‐based ones, are being constantly proposed. However, due to the fact that TRCs are just one‐dimensional curves covering only one colorant, they are not able to produce an exact match of all colors. Color adjustment with the help of the TRC is unstable, that is, a slight change in one color channel has a dramatic effect on the color reproduction in output. The use of gradation trajectories (GT) as an analytical model within the CIE Lab color space describing the behavior of the entire color gamut of the reproduction device makes it possible to more accurately adjust the individual color channel. Describing GT using the parametric Bézier curves further simplifies this process. In this work, we use GT to fit the TRC/TVI with the parameters recommended by ISO 12647‐2:2013.</abstract><cop>Freiburg</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/mma.8258</doi><tpages>8</tpages><orcidid>https://orcid.org/0000-0001-6911-8371</orcidid><orcidid>https://orcid.org/0000-0001-7828-032X</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0170-4214 |
| ispartof | Mathematical methods in the applied sciences, 2022-10, Vol.45 (15), p.8940-8947 |
| issn | 0170-4214 1099-1476 |
| language | eng |
| recordid | cdi_proquest_journals_2710007269 |
| source | Access via Wiley Online Library |
| subjects | Algorithms Bézier curves Color color adjustment Curves fitting gradation trajectory tone reproduction curves Trajectory analysis |
| title | A method of tone reproduction curves computation by means of gradation trajectories in the form of Bézier curves |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-23T10%3A55%3A49IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20method%20of%20tone%20reproduction%20curves%20computation%20by%20means%20of%20gradation%20trajectories%20in%20the%20form%20of%20B%C3%A9zier%20curves&rft.jtitle=Mathematical%20methods%20in%20the%20applied%20sciences&rft.au=Tarasov,%20Dmitry&rft.date=2022-10&rft.volume=45&rft.issue=15&rft.spage=8940&rft.epage=8947&rft.pages=8940-8947&rft.issn=0170-4214&rft.eissn=1099-1476&rft_id=info:doi/10.1002/mma.8258&rft_dat=%3Cproquest_cross%3E2710007269%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2710007269&rft_id=info:pmid/&rfr_iscdi=true |