{"id":"https://openalex.org/W1604887083","doi":"https://doi.org/10.1007/3-540-31272-2_16","title":"Tensor Field Visualization Using a Metric Interpretation","display_name":"Tensor Field Visualization Using a Metric Interpretation","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1604887083","doi":"https://doi.org/10.1007/3-540-31272-2_16","mag":"1604887083"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-31272-2_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-31272-2_16","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Visualization","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040236693","display_name":"Ingrid Hotz","orcid":"https://orcid.org/0000-0001-7285-0483"},"institutions":[{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]},{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ingrid Hotz","raw_affiliation_strings":["Institute for Data Analysis and Visualization, (IDAV), Department of Computer Science, University of California, Davis, CA, 95616, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Data Analysis and Visualization, (IDAV), Department of Computer Science, University of California, Davis, CA, 95616, USA","institution_ids":["https://openalex.org/I2803209242","https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100808706","display_name":"Louis Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]},{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Louis Feng","raw_affiliation_strings":["Institute for Data Analysis and Visualization, (IDAV), Department of Computer Science, University of California, Davis, CA, 95616, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Data Analysis and Visualization, (IDAV), Department of Computer Science, University of California, Davis, CA, 95616, USA","institution_ids":["https://openalex.org/I2803209242","https://openalex.org/I84218800"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108428297","display_name":"Hans Hagen","orcid":null},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]},{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]},{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Hans Hagen","raw_affiliation_strings":["Institute for Data Analysis and Visualization, (IDAV), Department of Computer Science, University of California, Davis, CA, 95616, USA","Computer Graphics and Visualization Group, Technical University of Kaiserslautern, PO Box 3049, 67653, Kaiserslautern, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Data Analysis and Visualization, (IDAV), Department of Computer Science, University of California, Davis, CA, 95616, USA","institution_ids":["https://openalex.org/I2803209242","https://openalex.org/I84218800"]},{"raw_affiliation_string":"Computer Graphics and Visualization Group, Technical University of Kaiserslautern, PO Box 3049, 67653, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077191719","display_name":"Bernd Hamann","orcid":"https://orcid.org/0000-0002-3579-5005"},"institutions":[{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]},{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bernd Hamann","raw_affiliation_strings":["Institute for Data Analysis and Visualization, (IDAV), Department of Computer Science, University of California, Davis, CA, 95616, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Data Analysis and Visualization, (IDAV), Department of Computer Science, University of California, Davis, CA, 95616, USA","institution_ids":["https://openalex.org/I2803209242","https://openalex.org/I84218800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114031893","display_name":"Kenneth I. Joy","orcid":null},"institutions":[{"id":"https://openalex.org/I2803209242","display_name":"University of California System","ror":"https://ror.org/00pjdza24","country_code":"US","type":"education","lineage":["https://openalex.org/I2803209242"]},{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kenneth Joy","raw_affiliation_strings":["Institute for Data Analysis and Visualization, (IDAV), Department of Computer Science, University of California, Davis, CA, 95616, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Data Analysis and Visualization, (IDAV), Department of Computer Science, University of California, Davis, CA, 95616, USA","institution_ids":["https://openalex.org/I2803209242","https://openalex.org/I84218800"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5381,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.77160494,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"269","last_page":"281"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10799","display_name":"Data Visualization and Analytics","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tensor-field","display_name":"Tensor field","score":0.7994160056114197},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6367334723472595},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.55865478515625},{"id":"https://openalex.org/keywords/cauchy-stress-tensor","display_name":"Cauchy stress tensor","score":0.5291645526885986},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5224686861038208},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.5050123333930969},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.5017461776733398},{"id":"https://openalex.org/keywords/metric-tensor","display_name":"Metric tensor","score":0.48154667019844055},{"id":"https://openalex.org/keywords/structure-tensor","display_name":"Structure tensor","score":0.47327470779418945},{"id":"https://openalex.org/keywords/infinitesimal-strain-theory","display_name":"Infinitesimal strain theory","score":0.4681572914123535},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4586581587791443},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4473499655723572},{"id":"https://openalex.org/keywords/cartesian-tensor","display_name":"Cartesian tensor","score":0.4395020604133606},{"id":"https://openalex.org/keywords/tensor-density","display_name":"Tensor density","score":0.401168555021286},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33466124534606934},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2769709825515747},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.268669992685318},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25469326972961426},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22295862436294556},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20949053764343262},{"id":"https://openalex.org/keywords/exact-solutions-in-general-relativity","display_name":"Exact solutions in general relativity","score":0.1538127362728119},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.11333027482032776},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09542578458786011},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08768588304519653}],"concepts":[{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.7994160056114197},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6367334723472595},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.55865478515625},{"id":"https://openalex.org/C171338203","wikidata":"https://www.wikidata.org/wiki/Q13409892","display_name":"Cauchy stress tensor","level":2,"score":0.5291645526885986},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5224686861038208},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.5050123333930969},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5017461776733398},{"id":"https://openalex.org/C8466233","wikidata":"https://www.wikidata.org/wiki/Q757269","display_name":"Metric tensor","level":3,"score":0.48154667019844055},{"id":"https://openalex.org/C113315163","wikidata":"https://www.wikidata.org/wiki/Q7625159","display_name":"Structure tensor","level":3,"score":0.47327470779418945},{"id":"https://openalex.org/C85523063","wikidata":"https://www.wikidata.org/wiki/Q935731","display_name":"Infinitesimal strain theory","level":3,"score":0.4681572914123535},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4586581587791443},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4473499655723572},{"id":"https://openalex.org/C64835786","wikidata":"https://www.wikidata.org/wiki/Q17004583","display_name":"Cartesian tensor","level":5,"score":0.4395020604133606},{"id":"https://openalex.org/C148125525","wikidata":"https://www.wikidata.org/wiki/Q904927","display_name":"Tensor density","level":4,"score":0.401168555021286},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33466124534606934},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2769709825515747},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.268669992685318},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25469326972961426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22295862436294556},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20949053764343262},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.1538127362728119},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.11333027482032776},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09542578458786011},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08768588304519653},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.0},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-31272-2_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-31272-2_16","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Visualization","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.59.2738","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.59.2738","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://graphics.cipic.ucdavis.edu/%7Ehamann/HotzFengHagenHamannJoy2005.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1978196063","https://openalex.org/W2057069415","https://openalex.org/W2073470731","https://openalex.org/W2079380280","https://openalex.org/W2085669261","https://openalex.org/W2098819183","https://openalex.org/W2110465594","https://openalex.org/W2114340937","https://openalex.org/W2122753588","https://openalex.org/W2138987052","https://openalex.org/W2140213259","https://openalex.org/W2149309906","https://openalex.org/W2172221034","https://openalex.org/W2184736891","https://openalex.org/W3013911745","https://openalex.org/W3141226869","https://openalex.org/W3150131900","https://openalex.org/W4233285401","https://openalex.org/W4250776769","https://openalex.org/W4253983956"],"related_works":["https://openalex.org/W1990592457","https://openalex.org/W2385280846","https://openalex.org/W4379533802","https://openalex.org/W1978447471","https://openalex.org/W2163389833","https://openalex.org/W1973226081","https://openalex.org/W2009098493","https://openalex.org/W2137131157","https://openalex.org/W2067416119","https://openalex.org/W2901586367"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
