{"id":"https://openalex.org/W2057184928","doi":"https://doi.org/10.1145/2766916","title":"Close-to-conformal deformations of volumes","display_name":"Close-to-conformal deformations of volumes","publication_year":2015,"publication_date":"2015-07-27","ids":{"openalex":"https://openalex.org/W2057184928","doi":"https://doi.org/10.1145/2766916","mag":"2057184928"},"language":"en","primary_location":{"id":"doi:10.1145/2766916","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2766916","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-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/A5075762738","display_name":"Albert Chern","orcid":"https://orcid.org/0000-0002-9802-3619"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Albert Chern","raw_affiliation_strings":["Caltech","Caltech,"],"affiliations":[{"raw_affiliation_string":"Caltech","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Caltech,","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029151317","display_name":"Ulrich Pinkall","orcid":"https://orcid.org/0000-0002-2087-6435"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Ulrich Pinkall","raw_affiliation_strings":["TU Berlin","[TU- Berlin]"],"affiliations":[{"raw_affiliation_string":"TU Berlin","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"[TU- Berlin]","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051948556","display_name":"Peter Schr\u00f6der","orcid":"https://orcid.org/0000-0001-9084-7106"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter Schr\u00f6der","raw_affiliation_strings":["Caltech","Caltech,"],"affiliations":[{"raw_affiliation_string":"Caltech","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Caltech,","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075762738"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":1.6244,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.82022311,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"34","issue":"4","first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9972000122070312,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9972000122070312,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9952999949455261,"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/T12504","display_name":"Mathematics and Applications","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/conformal-map","display_name":"Conformal map","score":0.791724681854248},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.7154977321624756},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5824084281921387},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.4648536443710327},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.44863268733024597},{"id":"https://openalex.org/keywords/differential-geometry","display_name":"Differential geometry","score":0.4276520609855652},{"id":"https://openalex.org/keywords/decoupling","display_name":"Decoupling (probability)","score":0.42231452465057373},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.41659799218177795},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.40514832735061646},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3286895453929901},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1526607871055603}],"concepts":[{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.791724681854248},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.7154977321624756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5824084281921387},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.4648536443710327},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.44863268733024597},{"id":"https://openalex.org/C192939610","wikidata":"https://www.wikidata.org/wiki/Q188444","display_name":"Differential geometry","level":2,"score":0.4276520609855652},{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.42231452465057373},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.41659799218177795},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.40514832735061646},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3286895453929901},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1526607871055603},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2766916","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2766916","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"},{"id":"pmh:oai:authors.library.caltech.edu:59563","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20150814-145256783","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W59367885","https://openalex.org/W236890628","https://openalex.org/W333643410","https://openalex.org/W1499071767","https://openalex.org/W1595775335","https://openalex.org/W1976905468","https://openalex.org/W1986883647","https://openalex.org/W1999920361","https://openalex.org/W2011049085","https://openalex.org/W2012995880","https://openalex.org/W2037692348","https://openalex.org/W2047594593","https://openalex.org/W2048623002","https://openalex.org/W2053245826","https://openalex.org/W2054607036","https://openalex.org/W2071427604","https://openalex.org/W2079209697","https://openalex.org/W2089637722","https://openalex.org/W2097246665","https://openalex.org/W2101657948","https://openalex.org/W2132044017","https://openalex.org/W2137742453","https://openalex.org/W2153866927","https://openalex.org/W2169055648","https://openalex.org/W2250107905","https://openalex.org/W2267740974","https://openalex.org/W2293537096","https://openalex.org/W2603469954","https://openalex.org/W3000211808","https://openalex.org/W3136059735","https://openalex.org/W3136375062","https://openalex.org/W4241299865","https://openalex.org/W4289779494","https://openalex.org/W4299816793","https://openalex.org/W6602419680","https://openalex.org/W6647149783"],"related_works":["https://openalex.org/W3127350447","https://openalex.org/W3108700312","https://openalex.org/W4225472102","https://openalex.org/W2382948573","https://openalex.org/W2887325221","https://openalex.org/W3099445031","https://openalex.org/W2184550115","https://openalex.org/W3121191907","https://openalex.org/W1976565969","https://openalex.org/W2909403636"],"abstract_inverted_index":{"Conformal":[0],"deformations":[1,53,68,97],"are":[2],"infinitesimal":[3],"scale-rotations,":[4],"which":[5,45],"can":[6,85],"be":[7,86],"parameterized":[8],"by":[9],"quaternions.":[10],"The":[11,82],"condition":[12],"that":[13],"such":[14],"a":[15,21,38,57,78],"quaternion":[16],"field":[17],"gives":[18],"rise":[19],"to":[20,48,51,63,101],"conformal":[22,52],"deformation":[23],"is":[24],"nonlinear":[25],"and":[26,43,95],"in":[27,99],"any":[28],"case":[29],"only":[30],"admits":[31],"M\u00f6bius":[32],"transformations":[33],"as":[34,54,73],"solutions.":[35],"We":[36],"propose":[37],"particular":[39],"decoupling":[40],"of":[41,56,77],"scaling":[42],"rotation":[44],"allows":[46],"us":[47],"find":[49,67],"near":[50],"minimizers":[55],"quadratic,":[58],"convex":[59],"Dirichlet":[60],"energy.":[61],"Applied":[62],"tetrahedral":[64],"meshes":[65],"we":[66],"with":[69,88],"low":[70],"quasiconformal":[71],"distortion":[72],"the":[74],"principal":[75],"eigenvector":[76],"(quaternionic)":[79],"Laplace":[80],"matrix.":[81],"resulting":[83],"algorithms":[84],"implemented":[87],"highly":[89],"optimized":[90],"standard":[91],"linear":[92],"algebra":[93],"libraries":[94],"yield":[96],"comparable":[98],"quality":[100],"far":[102],"more":[103],"expensive":[104],"approaches.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
