{"id":"https://openalex.org/W2032289569","doi":"https://doi.org/10.1080/10824009709480489","title":"Linear Feature Modeling with Curve Fitting: Parametric Polynomial Techniques","display_name":"Linear Feature Modeling with Curve Fitting: Parametric Polynomial Techniques","publication_year":1997,"publication_date":"1997-12-01","ids":{"openalex":"https://openalex.org/W2032289569","doi":"https://doi.org/10.1080/10824009709480489","mag":"2032289569"},"language":"en","primary_location":{"id":"doi:10.1080/10824009709480489","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10824009709480489","pdf_url":null,"source":{"id":"https://openalex.org/S4210199948","display_name":"Annals of GIS","issn_l":"1082-4006","issn":["1082-4006","1947-5683","1947-5691","2374-9318"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geographic Information Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"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/A5102960547","display_name":"Xiaoming Zheng","orcid":"https://orcid.org/0000-0002-1716-9115"},"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/I4210122545","display_name":"Center for Assessment","ror":"https://ror.org/02pdqrx22","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210122545"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaoming Zheng","raw_affiliation_strings":["University of California","Center for Assessment and Monitoring of Forest and Environmental Resources, Department of Environmental Science, Policy and Management , University of California , Berkeley , CA , 94720-3310 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]},{"raw_affiliation_string":"Center for Assessment and Monitoring of Forest and Environmental Resources, Department of Environmental Science, Policy and Management , University of California , Berkeley , CA , 94720-3310 , USA","institution_ids":["https://openalex.org/I4210122545","https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101803828","display_name":"Peng Gong","orcid":"https://orcid.org/0000-0001-8719-2620"},"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/I4210122545","display_name":"Center for Assessment","ror":"https://ror.org/02pdqrx22","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210122545"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peng Gong","raw_affiliation_strings":["University of California","Center for Assessment and Monitoring of Forest and Environmental Resources, Department of Environmental Science, Policy and Management , University of California , Berkeley , CA , 94720-3310 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California","institution_ids":["https://openalex.org/I2803209242"]},{"raw_affiliation_string":"Center for Assessment and Monitoring of Forest and Environmental Resources, Department of Environmental Science, Policy and Management , University of California , Berkeley , CA , 94720-3310 , USA","institution_ids":["https://openalex.org/I4210122545","https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1500,"currency":"USD","value_usd":1500},"apc_paid":null,"fwci":0.4375,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67381865,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":"1-2","first_page":"7","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9965999722480774,"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"}},"topics":[{"id":"https://openalex.org/T14339","display_name":"Image Processing and 3D Reconstruction","score":0.9965999722480774,"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"}},{"id":"https://openalex.org/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12549","display_name":"Image and Object Detection Techniques","score":0.991599977016449,"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/polynomial","display_name":"Polynomial","score":0.6242606043815613},{"id":"https://openalex.org/keywords/curve-fitting","display_name":"Curve fitting","score":0.6016765236854553},{"id":"https://openalex.org/keywords/polynomial-and-rational-function-modeling","display_name":"Polynomial and rational function modeling","score":0.540047287940979},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5218878388404846},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48490649461746216},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4724807143211365},{"id":"https://openalex.org/keywords/polynomial-regression","display_name":"Polynomial regression","score":0.4619254469871521},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44537970423698425},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43698757886886597},{"id":"https://openalex.org/keywords/parametric-equation","display_name":"Parametric equation","score":0.43424785137176514},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.42547303438186646},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37437114119529724},{"id":"https://openalex.org/keywords/linear-regression","display_name":"Linear regression","score":0.24798884987831116},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1999157965183258},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12177535891532898},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09312915802001953}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6242606043815613},{"id":"https://openalex.org/C184389593","wikidata":"https://www.wikidata.org/wiki/Q603159","display_name":"Curve fitting","level":2,"score":0.6016765236854553},{"id":"https://openalex.org/C138029060","wikidata":"https://www.wikidata.org/wiki/Q7226633","display_name":"Polynomial and rational function modeling","level":3,"score":0.540047287940979},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5218878388404846},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48490649461746216},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4724807143211365},{"id":"https://openalex.org/C120068334","wikidata":"https://www.wikidata.org/wiki/Q45343","display_name":"Polynomial regression","level":3,"score":0.4619254469871521},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44537970423698425},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43698757886886597},{"id":"https://openalex.org/C99636146","wikidata":"https://www.wikidata.org/wiki/Q35889","display_name":"Parametric equation","level":2,"score":0.43424785137176514},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.42547303438186646},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37437114119529724},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.24798884987831116},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1999157965183258},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12177535891532898},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09312915802001953},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/10824009709480489","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10824009709480489","pdf_url":null,"source":{"id":"https://openalex.org/S4210199948","display_name":"Annals of GIS","issn_l":"1082-4006","issn":["1082-4006","1947-5683","1947-5691","2374-9318"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geographic Information Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W180588938","https://openalex.org/W1644886288","https://openalex.org/W1988785100","https://openalex.org/W2003453046","https://openalex.org/W2004762196","https://openalex.org/W2048352040","https://openalex.org/W2051765117","https://openalex.org/W2056907475","https://openalex.org/W2057721985","https://openalex.org/W2075003097","https://openalex.org/W2096471740","https://openalex.org/W2129251118","https://openalex.org/W2319120659","https://openalex.org/W2891817961","https://openalex.org/W2989969997","https://openalex.org/W4230704136","https://openalex.org/W4245517269","https://openalex.org/W4253476718","https://openalex.org/W4299914736","https://openalex.org/W4301943080","https://openalex.org/W4388322023"],"related_works":["https://openalex.org/W2375392869","https://openalex.org/W2347459476","https://openalex.org/W3092611839","https://openalex.org/W2371436092","https://openalex.org/W2056457953","https://openalex.org/W2366385262","https://openalex.org/W2381023905","https://openalex.org/W2391876428","https://openalex.org/W1508076108","https://openalex.org/W2374133262"],"abstract_inverted_index":{"A":[0],"decomposition":[1,79],"model":[2,6,17,85],"is":[3,60],"described":[4],"to":[5,46,73],"linear":[7,48,98,105],"features":[8],"sampled":[9,54,96],"by":[10],"manual":[11],"digitization":[12],"or":[13],"field":[14],"survey.":[15],"The":[16,50],"consists":[18],"of":[19,65,77,83,91,104],"three":[20],"components,":[21],"original":[22],"data,":[23],"systematic":[24],"pattern,":[25],"and":[26,31,56,102],"random":[27,67],"error.":[28,68],"Least":[29],"squares":[30,34],"moving":[32],"least":[33],"techniques":[35],"are":[36,44,71],"introduced":[37],"for":[38],"polynomial":[39,58],"curve":[40],"fitting.":[41],"Polynomial":[42],"functions":[43],"proposed":[45],"represent":[47],"features.":[49,106],"position":[51],"deviation":[52],"between":[53],"points":[55,95],"the":[57,66,75,78,84],"function":[59],"used":[61],"as":[62],"an":[63],"approximation":[64],"Experimental":[69],"results":[70],"presented":[72],"show":[74],"effectiveness":[76],"model.":[80],"Potential":[81],"applications":[82],"have":[86],"been":[87],"discussed":[88],"including":[89],"estimation":[90],"errors":[92],"associated":[93],"with":[94],"along":[97],"features,":[99],"digital":[100],"representation":[101],"mapping":[103]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
