{"id":"https://openalex.org/W258448050","doi":"https://doi.org/10.21236/ada478383","title":"Brain and Surface Warping via Minimizing Lipschitz Extensions (PREPRINT)","display_name":"Brain and Surface Warping via Minimizing Lipschitz Extensions (PREPRINT)","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W258448050","doi":"https://doi.org/10.21236/ada478383","mag":"258448050"},"language":"en","primary_location":{"id":"doi:10.21236/ada478383","doi":"https://doi.org/10.21236/ada478383","is_oa":false,"landing_page_url":"https://doi.org/10.21236/ada478383","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"OSD or Non-Service DoD Agency","raw_type":"report"},"volume":null,"type":"report","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/A5016256957","display_name":"Facundo M\u00e9moli","orcid":"https://orcid.org/0000-0001-8409-0549","observed_orcids":["https://orcid.org/0000-0001-8409-0549"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Facundo Memoli","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025218580","display_name":"Guillermo Sapiro","orcid":"https://orcid.org/0000-0001-9190-6964","observed_orcids":["https://orcid.org/0000-0001-9190-6964"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guillermo Sapiro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100606557","display_name":"Paul M. Thompson","orcid":"https://orcid.org/0000-0002-4720-8867","observed_orcids":["https://orcid.org/0000-0002-4720-8867","https://orcid.org/0000-0003-2476-2803","https://orcid.org/0000-0002-2305-8438","https://orcid.org/0000-0002-3377-7014","https://orcid.org/0000-0003-0271-1896"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Paul Thompson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":12,"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":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.8711000084877014,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.8711000084877014,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.056299999356269836,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.031099999323487282,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/infinity-laplacian","display_name":"infinity Laplacian","score":0.9900000095367432},{"id":"https://openalex.org/keywords/geodesic-distance","display_name":"geodesic distance","score":0.8629999756813049},{"id":"https://openalex.org/keywords/cortical-surface","display_name":"cortical surface","score":0.7310000061988831},{"id":"https://openalex.org/keywords/brain-mri","display_name":"brain MRI","score":0.5289999842643738}],"concepts":[{"id":"https://openalex.org/C157202957","wikidata":"https://www.wikidata.org/wiki/Q1659609","display_name":"Image warping","level":2,"score":0.832971453666687},{"id":"https://openalex.org/C43169469","wikidata":"https://www.wikidata.org/wiki/Q580922","display_name":"Preprint","level":2,"score":0.8256217241287231},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.545966386795044},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4621136784553528},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39802685379981995},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35304364562034607},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19721922278404236},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19456472992897034},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1875610053539276},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.10076060891151428}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.21236/ada478383","doi":"https://doi.org/10.21236/ada478383","is_oa":false,"landing_page_url":"https://doi.org/10.21236/ada478383","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"OSD or Non-Service DoD Agency","raw_type":"report"},{"id":"pmh:ADA478743","doi":null,"is_oa":false,"landing_page_url":"http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=ADA478743","pdf_url":null,"source":{"id":"https://openalex.org/S4406923043","display_name":"Defense Technical Information Center (DTIC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"DTIC","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7097769252","https://openalex.org/W7010020186","https://openalex.org/W2288136429","https://openalex.org/W155294354","https://openalex.org/W7098057044","https://openalex.org/W2149155607","https://openalex.org/W2076719740","https://openalex.org/W7098295663","https://openalex.org/W7097656261","https://openalex.org/W1586213844"],"abstract_inverted_index":{"Based":[0],"on":[1,53,110,125],"the":[2,11,58,64,69,89,96,99,108,119],"notion":[3],"Minimizing":[4],"Lipschitz":[5,66],"Extensions":[6],"and":[7,20,82,129],"its":[8],"connection":[9],"with":[10,123],"infinity":[12],"Laplacian,":[13],"a":[14,43,49],"computational":[15],"framework":[16,74,120],"for":[17,91],"surface":[18,97],"warping":[19,24],"in":[21,34,107],"particular":[22],"brain":[23,29,113,135],"\"the":[25],"nonlinear":[26],"registration":[27],"of":[28,68,118],"imaging":[30],"data\"":[31],"is":[32,40,71,104,121],"presented":[33],"this":[35],"paper.":[36],"The":[37,116],"basic":[38],"concept":[39],"to":[41,79],"compute":[42],"map":[44,70],"between":[45],"surfaces":[46,131],"that":[47,94],"minimizes":[48],"distortion":[50],"measure":[51],"based":[52],"geodesic":[54],"distances":[55],"while":[56],"respecting":[57],"boundary":[59,77],"conditions":[60,78],"provided.":[61],"In":[62],"particular,":[63],"global":[65],"constant":[67],"minimized.":[72],"This":[73],"allows":[75,83],"generic":[76],"be":[80],"applied":[81],"direct":[84],"surface-to-surface":[85],"warping.":[86],"It":[87],"avoids":[88],"need":[90],"intermediate":[92],"maps":[93],"flatten":[95],"onto":[98],"plane":[100],"or":[101],"sphere,":[102],"as":[103],"commonly":[105],"done":[106],"literature":[109],"surface-based":[111],"non-rigid":[112],"image":[114],"registration.":[115],"presentation":[117],"complemented":[122],"examples":[124],"synthetic":[126],"geometric":[127],"phantoms":[128],"cortical":[130],"extracted":[132],"from":[133],"human":[134],"MRI":[136],"scans.":[137]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2016-06-24T00:00:00"}