{"id":"https://openalex.org/W6963398701","doi":"https://doi.org/10.2312/egwr/egsr07/207-218","title":"Efficient Basis Decomposition for Scattered Reflectance Data","display_name":"Efficient Basis Decomposition for Scattered Reflectance Data","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W6963398701","doi":"https://doi.org/10.2312/egwr/egsr07/207-218"},"language":"en","primary_location":{"id":"doi:10.2312/egwr/egsr07/207-218","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egwr/egsr07/207-218","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"other","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.2312/egwr/egsr07/207-218","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Weistroffer, R. Peter","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Weistroffer, R. Peter","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Walcott, Kristen R.","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Walcott, Kristen R.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Humphreys, Greg","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Humphreys, Greg","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Lawrence, Jason","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lawrence, Jason","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":null,"topics":[],"keywords":[{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.7997999787330627},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.5461000204086304},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5239999890327454},{"id":"https://openalex.org/keywords/reflectivity","display_name":"Reflectivity","score":0.5123000144958496},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.48240000009536743},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.4410000145435333},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.42329999804496765},{"id":"https://openalex.org/keywords/dimensionality-reduction","display_name":"Dimensionality reduction","score":0.4221999943256378},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.3919999897480011}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.7997999787330627},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5468999743461609},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.5461000204086304},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5239999890327454},{"id":"https://openalex.org/C108597893","wikidata":"https://www.wikidata.org/wiki/Q663650","display_name":"Reflectivity","level":2,"score":0.5123000144958496},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.48240000009536743},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46160000562667847},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.4410000145435333},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.42329999804496765},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.4221999943256378},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4059000015258789},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.3919999897480011},{"id":"https://openalex.org/C99217422","wikidata":"https://www.wikidata.org/wiki/Q4867576","display_name":"Basis pursuit","level":4,"score":0.38339999318122864},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.34369999170303345},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.3407999873161316},{"id":"https://openalex.org/C138827492","wikidata":"https://www.wikidata.org/wiki/Q6661985","display_name":"Data processing","level":2,"score":0.3296000063419342},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3133000135421753},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.29190000891685486},{"id":"https://openalex.org/C153914771","wikidata":"https://www.wikidata.org/wiki/Q5227343","display_name":"Data reduction","level":2,"score":0.2904999852180481},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.28940001130104065},{"id":"https://openalex.org/C55020928","wikidata":"https://www.wikidata.org/wiki/Q3813865","display_name":"Image quality","level":3,"score":0.2838999927043915},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.2833000123500824},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.2806999981403351},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.2766999900341034},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.25940001010894775},{"id":"https://openalex.org/C48921125","wikidata":"https://www.wikidata.org/wiki/Q10861030","display_name":"Linear regression","level":2,"score":0.2565000057220459},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.25450000166893005},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.25189998745918274},{"id":"https://openalex.org/C62649853","wikidata":"https://www.wikidata.org/wiki/Q199687","display_name":"Remote sensing","level":1,"score":0.25130000710487366}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2312/egwr/egsr07/207-218","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egwr/egsr07/207-218","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.2312/egwr/egsr07/207-218","is_oa":true,"landing_page_url":"https://doi.org/10.2312/egwr/egsr07/207-218","pdf_url":null,"source":{"id":"https://openalex.org/S7407052899","display_name":"Eurographics","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"score":0.5127264261245728,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Recent":[0],"progress":[1],"in":[2,70],"acquisition":[3],"technology":[4],"has":[5],"increased":[6],"the":[7,22,72,85,95,101,104],"availability":[8],"and":[9,33,39,44,76,90,100,114,142],"quality":[10],"of":[11,81,97,103,145],"measured":[12,26,129,146],"appearance":[13],"data.":[14],"Although":[15],"representations":[16],"based":[17],"on":[18,84],"dimensionality":[19],"reduction":[20],"provide":[21],"greatest":[23],"fidelity":[24],"to":[25,94,109],"data,":[27],"they":[28],"require":[29],"assembling":[30],"a":[31,50,56,133,143],"high-resolution":[32],"regularly":[34],"sampled":[35],"matrix":[36,48],"from":[37,63],"sparse":[38],"non-uniformly":[40],"scattered":[41,64],"input.":[42],"Constructing":[43],"processing":[45],"this":[46],"immense":[47],"becomes":[49],"significant":[51],"computational":[52],"bottleneck.":[53],"We":[54,123],"describe":[55],"technique":[57],"for":[58],"performing":[59],"basis":[60,73,136,140],"decomposition":[61],"directly":[62],"measurements.":[65],"Our":[66],"approach":[67,126],"is":[68,74,92],"flexible":[69],"how":[71],"represented":[75],"can":[77],"accommodate":[78],"any":[79],"number":[80,96],"linear":[82,135],"constraints":[83],"factorization.":[86],"Because":[87],"its":[88],"time-":[89],"space-complexity":[91],"proportional":[93],"input":[98],"measurements":[99],"size":[102],"output,":[105],"we":[106],"are":[107],"able":[108],"decompose":[110],"multi-gigabyte":[111],"datasets":[112],"faster":[113],"at":[115],"lower":[116],"error":[117],"rates":[118],"than":[119],"currently":[120],"available":[121],"techniques.":[122],"evaluate":[124],"our":[125],"by":[127],"representing":[128],"spatially-varying":[130],"reflectance":[131],"within":[132],"reduced":[134],"defined":[137],"over":[138],"radial":[139],"functions":[141],"database":[144],"BRDFs.":[147]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}