{"id":"https://openalex.org/W2001619034","doi":"https://doi.org/10.1109/icme.2007.4284900","title":"An Energy-Minimizing Mesh Parameterization","display_name":"An Energy-Minimizing Mesh Parameterization","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2001619034","doi":"https://doi.org/10.1109/icme.2007.4284900","mag":"2001619034"},"language":"en","primary_location":{"id":"doi:10.1109/icme.2007.4284900","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icme.2007.4284900","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multimedia and Expo, 2007 IEEE International Conference on","raw_type":"proceedings-article"},"type":"conference-paper","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":null,"display_name":"Li Yong","orcid":null},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Yong","raw_affiliation_strings":["College of Computer Science, Beijing University of Technology, China","Beijing University of technology, Beijing"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science, Beijing University of Technology, China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Beijing University of technology, Beijing","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100461634","display_name":"Bo Liu","orcid":"https://orcid.org/0000-0002-2393-117X"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liu Bo","raw_affiliation_strings":["College of Computer Science, Beijing University of Technology, China","Beijing University of technology, Beijing"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science, Beijing University of Technology, China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Beijing University of technology, Beijing","institution_ids":["https://openalex.org/I37796252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081554265","display_name":"Hongbin Zhang","orcid":"https://orcid.org/0000-0002-8375-0039"},"institutions":[{"id":"https://openalex.org/I37796252","display_name":"Beijing University of Technology","ror":"https://ror.org/037b1pp87","country_code":"CN","type":"education","lineage":["https://openalex.org/I37796252"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhang Hong-bin","raw_affiliation_strings":["College of Computer Science, Beijing University of Technology, China","Beijing University of technology, Beijing"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science, Beijing University of Technology, China","institution_ids":["https://openalex.org/I37796252"]},{"raw_affiliation_string":"Beijing University of technology, Beijing","institution_ids":["https://openalex.org/I37796252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I37796252"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1028492,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1315","last_page":"1318"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9991999864578247,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9983000159263611,"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/invariant","display_name":"Invariant (physics)","score":0.5456916689872742},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4756690561771393},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47554489970207214},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.45888859033584595},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4543428421020508},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.44716203212738037},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4424285292625427},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.412195086479187},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36739951372146606},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35582780838012695},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3213038146495819},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3081805109977722},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24796482920646667},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14692243933677673},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.10268887877464294},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07517513632774353}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5456916689872742},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4756690561771393},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47554489970207214},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.45888859033584595},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4543428421020508},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.44716203212738037},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4424285292625427},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.412195086479187},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36739951372146606},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35582780838012695},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3213038146495819},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3081805109977722},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24796482920646667},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14692243933677673},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.10268887877464294},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07517513632774353},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icme.2007.4284900","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icme.2007.4284900","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multimedia and Expo, 2007 IEEE International Conference on","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8899999856948853,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1976584051","https://openalex.org/W2075010828","https://openalex.org/W2097246665","https://openalex.org/W2111501452","https://openalex.org/W2135370022","https://openalex.org/W2164297311","https://openalex.org/W2170120409","https://openalex.org/W4233370650","https://openalex.org/W6629887872","https://openalex.org/W6684837874"],"related_works":["https://openalex.org/W1980419027","https://openalex.org/W2369361542","https://openalex.org/W647759170","https://openalex.org/W2366854666","https://openalex.org/W1655720158","https://openalex.org/W769655569","https://openalex.org/W1499828956","https://openalex.org/W2595523213","https://openalex.org/W2006176066","https://openalex.org/W103088352"],"abstract_inverted_index":{"In":[0],"this":[1,69],"paper,":[2],"we":[3],"propose":[4],"a":[5],"new":[6,15],"energy-minimizing":[7,53,71],"mesh":[8,45],"parameterization":[9],"method,":[10],"which":[11],"linearly":[12],"combines":[13],"two":[14],"energies":[16],"EQand":[17],"EM.":[18],"It":[19],"not":[20],"only":[21],"avoids":[22],"triangles":[23],"overlap":[24],"in":[25],"the":[26,42,47,52,57,62],"parameter":[27,48],"domain,":[28],"but":[29],"also":[30],"is":[31],"invariant":[32],"under":[33],"rotation,":[34],"translation":[35],"and":[36,55,76],"scale":[37],"transformations.":[38],"We":[39],"first":[40],"parameterize":[41],"original":[43],"3D":[44],"to":[46],"plane":[49],"by":[50,60],"using":[51],"parameterization,":[54],"get":[56],"optimal":[58],"effect":[59],"optimizing":[61],"weights":[63],"wijgradually.":[64],"Experimental":[65],"results":[66],"indicate":[67],"that":[68],"optimized":[70],"method":[72],"has":[73],"low":[74],"distortion":[75],"good":[77],"stability.":[78]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
