{"id":"https://openalex.org/W57217572","doi":"https://doi.org/10.1007/978-3-642-60607-6_22","title":"Piecewise Linear Approximation for Scientific Data","display_name":"Piecewise Linear Approximation for Scientific Data","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W57217572","doi":"https://doi.org/10.1007/978-3-642-60607-6_22","mag":"57217572"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-60607-6_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-60607-6_22","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Modeling: Theory and Practice","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/A5109163772","display_name":"Wolfgang Stra\u00dfer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wolfgang Strasser","raw_affiliation_strings":["Wilhelm-Schickard-Institut f\u00fcr auf Informatik, Auf der Morgenstelle 10, D-72076, T\u00fcbingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wilhelm-Schickard-Institut f\u00fcr auf Informatik, Auf der Morgenstelle 10, D-72076, T\u00fcbingen, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037976392","display_name":"Reinhard Klein","orcid":"https://orcid.org/0000-0002-5505-9347"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Reinhard Klein","raw_affiliation_strings":["Wilhelm-Schickard-Institut f\u00fcr auf Informatik, Auf der Morgenstelle 10, D-72076, T\u00fcbingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wilhelm-Schickard-Institut f\u00fcr auf Informatik, Auf der Morgenstelle 10, D-72076, T\u00fcbingen, Germany","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111672864","display_name":"Ren\u00e9 T. Rau","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ren\u00e9 Rau","raw_affiliation_strings":["Wilhelm-Schickard-Institut f\u00fcr auf Informatik, Auf der Morgenstelle 10, D-72076, T\u00fcbingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Wilhelm-Schickard-Institut f\u00fcr auf Informatik, Auf der Morgenstelle 10, D-72076, T\u00fcbingen, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03521127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"335","last_page":"341"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9986000061035156,"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":0.9986000061035156,"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/T11106","display_name":"Data Management and Algorithms","score":0.991100013256073,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9869999885559082,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.8130536675453186},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6877307891845703},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.6353293657302856},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.578849732875824},{"id":"https://openalex.org/keywords/approximation-error","display_name":"Approximation error","score":0.5748075842857361},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5452982187271118},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5395099520683289},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5241684913635254},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.5161501169204712},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4628910422325134},{"id":"https://openalex.org/keywords/scientific-visualization","display_name":"Scientific visualization","score":0.43027663230895996},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3794015347957611},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33093559741973877},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.23340299725532532},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2165604829788208},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.16175100207328796},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.13479983806610107},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1344020962715149}],"concepts":[{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.8130536675453186},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6877307891845703},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.6353293657302856},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.578849732875824},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.5748075842857361},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5452982187271118},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5395099520683289},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5241684913635254},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.5161501169204712},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4628910422325134},{"id":"https://openalex.org/C59740354","wikidata":"https://www.wikidata.org/wiki/Q2737866","display_name":"Scientific visualization","level":3,"score":0.43027663230895996},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3794015347957611},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33093559741973877},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.23340299725532532},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2165604829788208},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.16175100207328796},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13479983806610107},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1344020962715149},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-60607-6_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-60607-6_22","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Modeling: Theory and Practice","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W71126","https://openalex.org/W153666873","https://openalex.org/W1597196612","https://openalex.org/W1987076234","https://openalex.org/W1989513862","https://openalex.org/W1990353576","https://openalex.org/W2043896016","https://openalex.org/W2075010828","https://openalex.org/W2082246999","https://openalex.org/W2119231080","https://openalex.org/W2126521141","https://openalex.org/W2153962084","https://openalex.org/W2156343066","https://openalex.org/W2162870748","https://openalex.org/W2229412420","https://openalex.org/W2999068457","https://openalex.org/W3160104214","https://openalex.org/W4206570602","https://openalex.org/W4230163235","https://openalex.org/W4233857083","https://openalex.org/W4242724835"],"related_works":["https://openalex.org/W1596838019","https://openalex.org/W3182827720","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2083709218","https://openalex.org/W2131136359","https://openalex.org/W2014642192","https://openalex.org/W2133947431"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
