{"id":"https://openalex.org/W1953155518","doi":"https://doi.org/10.1109/cvpr.2015.7298649","title":"Efficient minimal-surface regularization of perspective depth maps in variational stereo","display_name":"Efficient minimal-surface regularization of perspective depth maps in variational stereo","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1953155518","doi":"https://doi.org/10.1109/cvpr.2015.7298649","mag":"1953155518"},"language":"en","primary_location":{"id":"doi:10.1109/cvpr.2015.7298649","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2015.7298649","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)","raw_type":"proceedings-article"},"type":"article","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/A5084047103","display_name":"Gottfried Graber","orcid":null},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Gottfried Graber","raw_affiliation_strings":["Graz University of Technology, Austria","Graz Univ. of Technology,   Austria"],"affiliations":[{"raw_affiliation_string":"Graz University of Technology, Austria","institution_ids":["https://openalex.org/I4092182"]},{"raw_affiliation_string":"Graz Univ. of Technology,   Austria","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083924426","display_name":"Jonathan Balzer","orcid":null},"institutions":[{"id":"https://openalex.org/I2799798094","display_name":"UCLA Health","ror":"https://ror.org/01d88se56","country_code":"US","type":"funder","lineage":["https://openalex.org/I2799798094"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jonathan Balzer","raw_affiliation_strings":["UCLA, USA","UCLA USA"],"affiliations":[{"raw_affiliation_string":"UCLA, USA","institution_ids":["https://openalex.org/I2799798094"]},{"raw_affiliation_string":"UCLA USA","institution_ids":["https://openalex.org/I2799798094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038328783","display_name":"Stefano Soatto","orcid":"https://orcid.org/0000-0003-2902-6362"},"institutions":[{"id":"https://openalex.org/I2799798094","display_name":"UCLA Health","ror":"https://ror.org/01d88se56","country_code":"US","type":"funder","lineage":["https://openalex.org/I2799798094"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Stefano Soatto","raw_affiliation_strings":["UCLA, USA","UCLA USA"],"affiliations":[{"raw_affiliation_string":"UCLA, USA","institution_ids":["https://openalex.org/I2799798094"]},{"raw_affiliation_string":"UCLA USA","institution_ids":["https://openalex.org/I2799798094"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032205387","display_name":"Thomas Pock","orcid":"https://orcid.org/0000-0001-6120-1058"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Thomas Pock","raw_affiliation_strings":["Graz University of Technology, Austria","Graz Univ. of Technology,   Austria"],"affiliations":[{"raw_affiliation_string":"Graz University of Technology, Austria","institution_ids":["https://openalex.org/I4092182"]},{"raw_affiliation_string":"Graz Univ. of Technology,   Austria","institution_ids":["https://openalex.org/I4092182"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5084047103"],"corresponding_institution_ids":["https://openalex.org/I4092182"],"apc_list":null,"apc_paid":null,"fwci":3.5564,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.95154908,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"511","last_page":"520"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9998999834060669,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9998999834060669,"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/T10638","display_name":"Optical measurement and interference techniques","score":0.9987999796867371,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7075250744819641},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6547043323516846},{"id":"https://openalex.org/keywords/surface-reconstruction","display_name":"Surface reconstruction","score":0.5840844511985779},{"id":"https://openalex.org/keywords/ambiguity","display_name":"Ambiguity","score":0.5604081749916077},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5205608010292053},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4944450855255127},{"id":"https://openalex.org/keywords/depth-map","display_name":"Depth map","score":0.4862717390060425},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4722171127796173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44273439049720764},{"id":"https://openalex.org/keywords/minimal-surface","display_name":"Minimal surface","score":0.43847545981407166},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.43365001678466797},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.41851866245269775},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3611519932746887},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33308807015419006},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22825878858566284},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.0927024781703949}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7075250744819641},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6547043323516846},{"id":"https://openalex.org/C20885615","wikidata":"https://www.wikidata.org/wiki/Q825595","display_name":"Surface reconstruction","level":3,"score":0.5840844511985779},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.5604081749916077},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5205608010292053},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4944450855255127},{"id":"https://openalex.org/C141268832","wikidata":"https://www.wikidata.org/wiki/Q2940499","display_name":"Depth map","level":3,"score":0.4862717390060425},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4722171127796173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44273439049720764},{"id":"https://openalex.org/C30707913","wikidata":"https://www.wikidata.org/wiki/Q1545397","display_name":"Minimal surface","level":2,"score":0.43847545981407166},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.43365001678466797},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.41851866245269775},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3611519932746887},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33308807015419006},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22825878858566284},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0927024781703949},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cvpr.2015.7298649","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cvpr.2015.7298649","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.697.2994","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.697.2994","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://vision.ucla.edu/papers/graberal15.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.8199999928474426}],"awards":[],"funders":[{"id":"https://openalex.org/F4320324190","display_name":"Bundesministerium f\u00fcr Wissenschaft und Forschung","ror":"https://ror.org/02d229b24"},{"id":"https://openalex.org/F4320338294","display_name":"Air Force Research Laboratory","ror":"https://ror.org/02e2egq70"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W201905283","https://openalex.org/W1488499483","https://openalex.org/W1514909517","https://openalex.org/W1539230104","https://openalex.org/W1859403223","https://openalex.org/W1955069752","https://openalex.org/W1964057156","https://openalex.org/W1967434879","https://openalex.org/W1973882119","https://openalex.org/W1986528120","https://openalex.org/W1996510988","https://openalex.org/W1998910452","https://openalex.org/W2007725821","https://openalex.org/W2009250577","https://openalex.org/W2025572378","https://openalex.org/W2026203758","https://openalex.org/W2063878429","https://openalex.org/W2073202561","https://openalex.org/W2092663520","https://openalex.org/W2106813532","https://openalex.org/W2107000830","https://openalex.org/W2108134361","https://openalex.org/W2112421488","https://openalex.org/W2115362620","https://openalex.org/W2117331827","https://openalex.org/W2118428504","https://openalex.org/W2120657032","https://openalex.org/W2128052895","https://openalex.org/W2129404737","https://openalex.org/W2132219293","https://openalex.org/W2135383008","https://openalex.org/W2137341062","https://openalex.org/W2148953571","https://openalex.org/W2156805002","https://openalex.org/W2158449358","https://openalex.org/W2161914072","https://openalex.org/W2167085613","https://openalex.org/W2168071068","https://openalex.org/W2169980043","https://openalex.org/W2171572796","https://openalex.org/W2611820369","https://openalex.org/W4235903938","https://openalex.org/W4285719527","https://openalex.org/W4292872153","https://openalex.org/W6608350097","https://openalex.org/W6632045966","https://openalex.org/W6638979736","https://openalex.org/W6640817630","https://openalex.org/W6679506782","https://openalex.org/W6680187745","https://openalex.org/W6684652418","https://openalex.org/W6684904623"],"related_works":["https://openalex.org/W2353179089","https://openalex.org/W2923538289","https://openalex.org/W2353125546","https://openalex.org/W2470643824","https://openalex.org/W4400595174","https://openalex.org/W2349635380","https://openalex.org/W4353089801","https://openalex.org/W2353819554","https://openalex.org/W2359488321","https://openalex.org/W2389866386"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,42,70],"method":[3],"for":[4],"dense":[5],"three-dimensional":[6],"surface":[7,37],"reconstruction":[8,46],"that":[9,19,53,76],"leverages":[10],"the":[11,21,24,27,50,65,74,80],"strengths":[12],"of":[13,23,29,36,49,73],"shape-based":[14],"approaches,":[15],"by":[16,32,63],"imposing":[17],"regularization":[18],"respects":[20],"geometry":[22],"surface,":[25],"and":[26,56,82],"strength":[28],"depth-map-based":[30],"stereo,":[31],"avoiding":[33],"costly":[34],"computation":[35],"topology.":[38],"The":[39],"result":[40],"is":[41,60,77],"near":[43],"real-time":[44],"variational":[45],"algorithm":[47],"free":[48],"staircasing":[51],"artifacts":[52],"affect":[54],"depth-map":[55],"plane-sweeping":[57],"approaches.":[58],"This":[59],"made":[61],"possible":[62],"exploiting":[64],"gauge":[66],"ambiguity":[67],"to":[68,85],"design":[69],"novel":[71],"representation":[72],"regularizer":[75],"linear":[78],"in":[79],"parameters":[81],"hence":[83],"amenable":[84],"be":[86],"optimized":[87],"with":[88],"state-of-the-art":[89],"primal-dual":[90],"numerical":[91],"schemes.":[92]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}