{"id":"https://openalex.org/W7134895903","doi":"https://doi.org/10.1007/s10044-026-01630-1","title":"A general chain code framework for higher dimensions","display_name":"A general chain code framework for higher dimensions","publication_year":2026,"publication_date":"2026-03-10","ids":{"openalex":"https://openalex.org/W7134895903","doi":"https://doi.org/10.1007/s10044-026-01630-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10044-026-01630-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10044-026-01630-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10044-026-01630-1.pdf","source":{"id":"https://openalex.org/S45497385","display_name":"Pattern Analysis and Applications","issn_l":"1433-7541","issn":["1433-7541","1433-755X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pattern Analysis and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10044-026-01630-1.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063140155","display_name":"Julio Mart\u00edn-Herrero","orcid":null},"institutions":[{"id":"https://openalex.org/I6289922","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595","country_code":"ES","type":"education","lineage":["https://openalex.org/I6289922"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Julio Mart\u00edn-Herrero","raw_affiliation_strings":["atlanTTic, Universidade de Vigo, C/Maxwell, 36310, Vigo, Spain"],"raw_orcid":"https://orcid.org/0000-0003-1109-6338","affiliations":[{"raw_affiliation_string":"atlanTTic, Universidade de Vigo, C/Maxwell, 36310, Vigo, Spain","institution_ids":["https://openalex.org/I6289922"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063140155"],"corresponding_institution_ids":["https://openalex.org/I6289922"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.48815354,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"2","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":0.47679999470710754,"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":0.47679999470710754,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.3325999975204468,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.06239999830722809,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/tree-traversal","display_name":"Tree traversal","score":0.800000011920929},{"id":"https://openalex.org/keywords/chain-code","display_name":"Chain code","score":0.6049000024795532},{"id":"https://openalex.org/keywords/voxel","display_name":"Voxel","score":0.5703999996185303},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.5195000171661377},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4699000120162964},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.46309998631477356},{"id":"https://openalex.org/keywords/graph-traversal","display_name":"Graph traversal","score":0.4345000088214874},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.4320000112056732},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.41990000009536743},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41749998927116394}],"concepts":[{"id":"https://openalex.org/C140745168","wikidata":"https://www.wikidata.org/wiki/Q1210082","display_name":"Tree traversal","level":2,"score":0.800000011920929},{"id":"https://openalex.org/C93058836","wikidata":"https://www.wikidata.org/wiki/Q1453572","display_name":"Chain code","level":3,"score":0.6049000024795532},{"id":"https://openalex.org/C54170458","wikidata":"https://www.wikidata.org/wiki/Q663554","display_name":"Voxel","level":2,"score":0.5703999996185303},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.5195000171661377},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47110000252723694},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4699000120162964},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.46309998631477356},{"id":"https://openalex.org/C96333769","wikidata":"https://www.wikidata.org/wiki/Q907955","display_name":"Graph traversal","level":3,"score":0.4345000088214874},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.4320000112056732},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.41990000009536743},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41749998927116394},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39800000190734863},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.38850000500679016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3862999975681305},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.37630000710487366},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.35420000553131104},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.3528999984264374},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.34790000319480896},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.3474999964237213},{"id":"https://openalex.org/C43173174","wikidata":"https://www.wikidata.org/wiki/Q2646942","display_name":"Regular grid","level":3,"score":0.3441999852657318},{"id":"https://openalex.org/C145580432","wikidata":"https://www.wikidata.org/wiki/Q6497118","display_name":"Lattice graph","level":5,"score":0.33959999680519104},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33869999647140503},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.3375999927520752},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.32440000772476196},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.30889999866485596},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.3066999912261963},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2969000041484833},{"id":"https://openalex.org/C141297171","wikidata":"https://www.wikidata.org/wiki/Q1143237","display_name":"Octree","level":2,"score":0.28630000352859497},{"id":"https://openalex.org/C42781572","wikidata":"https://www.wikidata.org/wiki/Q1250322","display_name":"Digital image","level":4,"score":0.28139999508857727},{"id":"https://openalex.org/C13743678","wikidata":"https://www.wikidata.org/wiki/Q240464","display_name":"Minimum spanning tree","level":2,"score":0.27950000762939453},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.27239999175071716},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.26820001006126404},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.2635999917984009},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.2614000141620636},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2590000033378601},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.2563999891281128},{"id":"https://openalex.org/C192368570","wikidata":"https://www.wikidata.org/wiki/Q1789829","display_name":"Digital geometry","level":5,"score":0.25450000166893005}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10044-026-01630-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10044-026-01630-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10044-026-01630-1.pdf","source":{"id":"https://openalex.org/S45497385","display_name":"Pattern Analysis and Applications","issn_l":"1433-7541","issn":["1433-7541","1433-755X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pattern Analysis and Applications","raw_type":"journal-article"},{"id":"pmh:oai:www.investigo.biblioteca.uvigo.es:11093/11845","is_oa":true,"landing_page_url":"http://hdl.handle.net/11093/11845","pdf_url":null,"source":{"id":"https://openalex.org/S4377196408","display_name":"Investigo Institutional repository of UVigo (Universidade de Vigo)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I6289922","host_organization_name":"Universidade de Vigo","host_organization_lineage":["https://openalex.org/I6289922"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s10044-026-01630-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s10044-026-01630-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10044-026-01630-1.pdf","source":{"id":"https://openalex.org/S45497385","display_name":"Pattern Analysis and Applications","issn_l":"1433-7541","issn":["1433-7541","1433-755X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Pattern Analysis and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320324091","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7134895903.pdf","grobid_xml":"https://content.openalex.org/works/W7134895903.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W1491945738","https://openalex.org/W1886288731","https://openalex.org/W1964064379","https://openalex.org/W1964530726","https://openalex.org/W1968219425","https://openalex.org/W1969478833","https://openalex.org/W1976678415","https://openalex.org/W1977644524","https://openalex.org/W1987701469","https://openalex.org/W1992924575","https://openalex.org/W1995921075","https://openalex.org/W2001905250","https://openalex.org/W2003938193","https://openalex.org/W2015731614","https://openalex.org/W2016694037","https://openalex.org/W2030455586","https://openalex.org/W2032463446","https://openalex.org/W2034941089","https://openalex.org/W2040050639","https://openalex.org/W2041063232","https://openalex.org/W2044595627","https://openalex.org/W2051685651","https://openalex.org/W2053344873","https://openalex.org/W2067573656","https://openalex.org/W2070831106","https://openalex.org/W2075046783","https://openalex.org/W2080593108","https://openalex.org/W2084134149","https://openalex.org/W2098863223","https://openalex.org/W2115728899","https://openalex.org/W2118322172","https://openalex.org/W2118382442","https://openalex.org/W2158240273","https://openalex.org/W2159003447","https://openalex.org/W2164440686","https://openalex.org/W2169755043","https://openalex.org/W2169867260","https://openalex.org/W2170633497","https://openalex.org/W2293074376","https://openalex.org/W2913954303","https://openalex.org/W4230276903","https://openalex.org/W4238103299","https://openalex.org/W4297231030"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"A":[1,57],"framework":[2,111],"for":[3,94,139],"encoding":[4],"the":[5,24,30,34,89,100,115,140,143,147,150],"boundary":[6],"of":[7,29,33,44,59,72,99,130,142,149,183,186],"any":[8,123,127],"arbitrary":[9],"binary":[10],"shape":[11,35,101],"in":[12,40,66,114,126,153],"a":[13,41,54,67,78,82,163,180],"high":[14,83],"dimensional":[15,84],"digital":[16,151,175],"image":[17],"is":[18,75,112],"described,":[19],"with":[20,134,172,179],"special":[21],"attention":[22],"to":[23,88],"3D":[25,154],"case.":[26],"The":[27,70,96,110,168],"voxels":[28],"outer":[31,97],"shell":[32],"are":[36,157,160,170],"treated":[37],"as":[38],"vertices":[39],"connected":[42],"subgraph":[43],"an":[45],"undirected":[46],"cubic":[47],"grid":[48],"graph":[49,165],"which":[50],"has":[51],"at":[52],"least":[53],"spanning":[55,61],"tree.":[56],"traversal":[58,166],"this":[60,107],"tree":[62],"visits":[63],"each":[64],"voxel":[65],"repeatable":[68],"order.":[69],"sequence":[71],"traversed":[73],"edges":[74],"coded":[76],"into":[77],"chain":[79,85,92,108,144],"that":[80,117],"constitutes":[81],"code,":[86],"analogous":[87],"classical":[90],"Freeman":[91],"code":[93],"2D.":[95],"surface":[98],"can":[102,119],"be":[103,120],"unambiguously":[104],"reconstructed":[105],"from":[106],"code.":[109],"general":[113],"sense":[116],"it":[118],"used":[121],"under":[122],"connectivity":[124],"rule":[125],"practical":[128],"number":[129],"dimensions":[131],"and":[132,146,155,177],"also":[133],"noncubic":[135],"voxels.":[136],"Explicit":[137],"algorithms":[138,169],"computation":[141],"codes":[145],"reconstruction":[148],"shapes":[152,176],"4D":[156],"detailed.":[158],"These":[159],"based":[161],"on":[162],"hybrid":[164],"algorithm.":[167],"illustrated":[171],"some":[173],"simple":[174],"tested":[178],"benchmark":[181],"dataset":[182],"medical":[184],"images":[185],"intervertebral":[187],"discs.":[188]},"counts_by_year":[],"updated_date":"2026-04-24T08:23:43.765630","created_date":"2026-03-12T00:00:00"}