Embedding non-Euclidean color spaces into Euclidean color spaces with minimal isometric disagreement
Isometric embedding of non-Euclidean color spaces into Euclidean color spaces is investigated. Owing to regions of nonzero Gaussian curvature within common non-Euclidean color spaces, we focus on the determination of transformations into Euclidean spaces with minimal isometric disagreement. A comput...
Gespeichert in:
| Veröffentlicht in: | Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2007-06, Vol.24 (6), p.1516-1528 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1528 |
|---|---|
| container_issue | 6 |
| container_start_page | 1516 |
| container_title | Journal of the Optical Society of America. A, Optics, image science, and vision |
| container_volume | 24 |
| creator | URBAN, Philipp ROSEN, Mitchell R BERNS, Roy S SCHLEICHER, Dierk |
| description | Isometric embedding of non-Euclidean color spaces into Euclidean color spaces is investigated. Owing to regions of nonzero Gaussian curvature within common non-Euclidean color spaces, we focus on the determination of transformations into Euclidean spaces with minimal isometric disagreement. A computational method is presented for deriving such a color space transformation by means of a multigrid optimization, resulting in a simple color look-up table. The multigrid optimization is applied on the CIELAB space with the CMC, CIE94, and CIEDE2000 formulas. The mean disagreement between distances calculated by these formulas and Euclidean distances within the new spaces is far below 3% for all investigated color difference formulas. Color space transformations containing the inverse transformations are provided as MATLAB scripts at the first author's website. |
| doi_str_mv | 10.1364/JOSAA.24.001516 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_70490252</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>70490252</sourcerecordid><originalsourceid>FETCH-LOGICAL-c325t-18424f062ee80394a04acaa3cef3e1a2d0ecf402d4239e53c669843708cbe0c83</originalsourceid><addsrcrecordid>eNp1kD1PwzAQhi0EoqUws6EssKU9f8RxxqoqX6rUAZgj174Uo8QpdiLEvyfQSp2Y7qR73lenh5BrClPKpZg9r1_m8ykTUwCaUXlCxjRjkKqMs9NhByXSPGPFiFzE-AEAQqr8nIxoLgoqaTEmdtls0Frnt4lvfbrsTe0sap-Ytm5DEnfaYEyc79rkn9uX696TxnnX6DpxsW2wC84k1kW9DYgN-u6SnFW6jnh1mBPydr98XTymq_XD02K-Sg1nWZdSJZioQDJEBbwQGoQ2WnODFUeqmQU0lQBmBeMFZtxIWSjBc1Bmg2AUn5C7fe8utJ89xq5sXDRY19pj28cyB1EAy9gAzvagCW2MAatyF4b_w3dJofwVW_6JLZko92KHxM2hut80aI_8weQA3B4AHY2uq6C9cfHIqVwKToH_AD4QgbU</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>70490252</pqid></control><display><type>article</type><title>Embedding non-Euclidean color spaces into Euclidean color spaces with minimal isometric disagreement</title><source>OSA Publishing</source><creator>URBAN, Philipp ; ROSEN, Mitchell R ; BERNS, Roy S ; SCHLEICHER, Dierk</creator><creatorcontrib>URBAN, Philipp ; ROSEN, Mitchell R ; BERNS, Roy S ; SCHLEICHER, Dierk</creatorcontrib><description>Isometric embedding of non-Euclidean color spaces into Euclidean color spaces is investigated. Owing to regions of nonzero Gaussian curvature within common non-Euclidean color spaces, we focus on the determination of transformations into Euclidean spaces with minimal isometric disagreement. A computational method is presented for deriving such a color space transformation by means of a multigrid optimization, resulting in a simple color look-up table. The multigrid optimization is applied on the CIELAB space with the CMC, CIE94, and CIEDE2000 formulas. The mean disagreement between distances calculated by these formulas and Euclidean distances within the new spaces is far below 3% for all investigated color difference formulas. Color space transformations containing the inverse transformations are provided as MATLAB scripts at the first author's website.</description><identifier>ISSN: 1084-7529</identifier><identifier>EISSN: 1520-8532</identifier><identifier>DOI: 10.1364/JOSAA.24.001516</identifier><identifier>PMID: 17491619</identifier><language>eng</language><publisher>Washington, DC: Optical Society of America</publisher><subject>Biological and medical sciences ; Exact sciences and technology ; Eye and associated structures. Visual pathways and centers. Vision ; Fundamental and applied biological sciences. Psychology ; Instruments, apparatus, components and techniques common to several branches of physics and astronomy ; Optical instruments, equipment and techniques ; Photometers, radiometers and colorimeters ; Physics ; Vertebrates: nervous system and sense organs</subject><ispartof>Journal of the Optical Society of America. A, Optics, image science, and vision, 2007-06, Vol.24 (6), p.1516-1528</ispartof><rights>2007 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c325t-18424f062ee80394a04acaa3cef3e1a2d0ecf402d4239e53c669843708cbe0c83</citedby><cites>FETCH-LOGICAL-c325t-18424f062ee80394a04acaa3cef3e1a2d0ecf402d4239e53c669843708cbe0c83</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,3256,27923,27924</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=18764310$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/17491619$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>URBAN, Philipp</creatorcontrib><creatorcontrib>ROSEN, Mitchell R</creatorcontrib><creatorcontrib>BERNS, Roy S</creatorcontrib><creatorcontrib>SCHLEICHER, Dierk</creatorcontrib><title>Embedding non-Euclidean color spaces into Euclidean color spaces with minimal isometric disagreement</title><title>Journal of the Optical Society of America. A, Optics, image science, and vision</title><addtitle>J Opt Soc Am A Opt Image Sci Vis</addtitle><description>Isometric embedding of non-Euclidean color spaces into Euclidean color spaces is investigated. Owing to regions of nonzero Gaussian curvature within common non-Euclidean color spaces, we focus on the determination of transformations into Euclidean spaces with minimal isometric disagreement. A computational method is presented for deriving such a color space transformation by means of a multigrid optimization, resulting in a simple color look-up table. The multigrid optimization is applied on the CIELAB space with the CMC, CIE94, and CIEDE2000 formulas. The mean disagreement between distances calculated by these formulas and Euclidean distances within the new spaces is far below 3% for all investigated color difference formulas. Color space transformations containing the inverse transformations are provided as MATLAB scripts at the first author's website.</description><subject>Biological and medical sciences</subject><subject>Exact sciences and technology</subject><subject>Eye and associated structures. Visual pathways and centers. Vision</subject><subject>Fundamental and applied biological sciences. Psychology</subject><subject>Instruments, apparatus, components and techniques common to several branches of physics and astronomy</subject><subject>Optical instruments, equipment and techniques</subject><subject>Photometers, radiometers and colorimeters</subject><subject>Physics</subject><subject>Vertebrates: nervous system and sense organs</subject><issn>1084-7529</issn><issn>1520-8532</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNp1kD1PwzAQhi0EoqUws6EssKU9f8RxxqoqX6rUAZgj174Uo8QpdiLEvyfQSp2Y7qR73lenh5BrClPKpZg9r1_m8ykTUwCaUXlCxjRjkKqMs9NhByXSPGPFiFzE-AEAQqr8nIxoLgoqaTEmdtls0Frnt4lvfbrsTe0sap-Ytm5DEnfaYEyc79rkn9uX696TxnnX6DpxsW2wC84k1kW9DYgN-u6SnFW6jnh1mBPydr98XTymq_XD02K-Sg1nWZdSJZioQDJEBbwQGoQ2WnODFUeqmQU0lQBmBeMFZtxIWSjBc1Bmg2AUn5C7fe8utJ89xq5sXDRY19pj28cyB1EAy9gAzvagCW2MAatyF4b_w3dJofwVW_6JLZko92KHxM2hut80aI_8weQA3B4AHY2uq6C9cfHIqVwKToH_AD4QgbU</recordid><startdate>20070601</startdate><enddate>20070601</enddate><creator>URBAN, Philipp</creator><creator>ROSEN, Mitchell R</creator><creator>BERNS, Roy S</creator><creator>SCHLEICHER, Dierk</creator><general>Optical Society of America</general><scope>IQODW</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>20070601</creationdate><title>Embedding non-Euclidean color spaces into Euclidean color spaces with minimal isometric disagreement</title><author>URBAN, Philipp ; ROSEN, Mitchell R ; BERNS, Roy S ; SCHLEICHER, Dierk</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c325t-18424f062ee80394a04acaa3cef3e1a2d0ecf402d4239e53c669843708cbe0c83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Biological and medical sciences</topic><topic>Exact sciences and technology</topic><topic>Eye and associated structures. Visual pathways and centers. Vision</topic><topic>Fundamental and applied biological sciences. Psychology</topic><topic>Instruments, apparatus, components and techniques common to several branches of physics and astronomy</topic><topic>Optical instruments, equipment and techniques</topic><topic>Photometers, radiometers and colorimeters</topic><topic>Physics</topic><topic>Vertebrates: nervous system and sense organs</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>URBAN, Philipp</creatorcontrib><creatorcontrib>ROSEN, Mitchell R</creatorcontrib><creatorcontrib>BERNS, Roy S</creatorcontrib><creatorcontrib>SCHLEICHER, Dierk</creatorcontrib><collection>Pascal-Francis</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Journal of the Optical Society of America. A, Optics, image science, and vision</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>URBAN, Philipp</au><au>ROSEN, Mitchell R</au><au>BERNS, Roy S</au><au>SCHLEICHER, Dierk</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Embedding non-Euclidean color spaces into Euclidean color spaces with minimal isometric disagreement</atitle><jtitle>Journal of the Optical Society of America. A, Optics, image science, and vision</jtitle><addtitle>J Opt Soc Am A Opt Image Sci Vis</addtitle><date>2007-06-01</date><risdate>2007</risdate><volume>24</volume><issue>6</issue><spage>1516</spage><epage>1528</epage><pages>1516-1528</pages><issn>1084-7529</issn><eissn>1520-8532</eissn><abstract>Isometric embedding of non-Euclidean color spaces into Euclidean color spaces is investigated. Owing to regions of nonzero Gaussian curvature within common non-Euclidean color spaces, we focus on the determination of transformations into Euclidean spaces with minimal isometric disagreement. A computational method is presented for deriving such a color space transformation by means of a multigrid optimization, resulting in a simple color look-up table. The multigrid optimization is applied on the CIELAB space with the CMC, CIE94, and CIEDE2000 formulas. The mean disagreement between distances calculated by these formulas and Euclidean distances within the new spaces is far below 3% for all investigated color difference formulas. Color space transformations containing the inverse transformations are provided as MATLAB scripts at the first author's website.</abstract><cop>Washington, DC</cop><pub>Optical Society of America</pub><pmid>17491619</pmid><doi>10.1364/JOSAA.24.001516</doi><tpages>13</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1084-7529 |
| ispartof | Journal of the Optical Society of America. A, Optics, image science, and vision, 2007-06, Vol.24 (6), p.1516-1528 |
| issn | 1084-7529 1520-8532 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_70490252 |
| source | OSA Publishing |
| subjects | Biological and medical sciences Exact sciences and technology Eye and associated structures. Visual pathways and centers. Vision Fundamental and applied biological sciences. Psychology Instruments, apparatus, components and techniques common to several branches of physics and astronomy Optical instruments, equipment and techniques Photometers, radiometers and colorimeters Physics Vertebrates: nervous system and sense organs |
| title | Embedding non-Euclidean color spaces into Euclidean color spaces with minimal isometric disagreement |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-10T18%3A38%3A26IST&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=Embedding%20non-Euclidean%20color%20spaces%20into%20Euclidean%20color%20spaces%20with%20minimal%20isometric%20disagreement&rft.jtitle=Journal%20of%20the%20Optical%20Society%20of%20America.%20A,%20Optics,%20image%20science,%20and%20vision&rft.au=URBAN,%20Philipp&rft.date=2007-06-01&rft.volume=24&rft.issue=6&rft.spage=1516&rft.epage=1528&rft.pages=1516-1528&rft.issn=1084-7529&rft.eissn=1520-8532&rft_id=info:doi/10.1364/JOSAA.24.001516&rft_dat=%3Cproquest_cross%3E70490252%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=70490252&rft_id=info:pmid/17491619&rfr_iscdi=true |