{"id":"https://openalex.org/W4212904137","doi":"https://doi.org/10.5220/0010840900003122","title":"A Step Towards Learning Contraction Kernels for Irregular Image Pyramid","display_name":"A Step Towards Learning Contraction Kernels for Irregular Image Pyramid","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4212904137","doi":"https://doi.org/10.5220/0010840900003122"},"language":"en","primary_location":{"id":"doi:10.5220/0010840900003122","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0010840900003122","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 11th International Conference on Pattern Recognition Applications and Methods","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.5220/0010840900003122","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083304019","display_name":"Darshan Batavia","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Darshan Batavia","raw_affiliation_strings":["TU Wien, Pattern Recognition and Image Processing Group 193/03, Vienna, Austria, --- Select a Country ---"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Wien, Pattern Recognition and Image Processing Group 193/03, Vienna, Austria, --- Select a Country ---","institution_ids":["https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078283118","display_name":"Roc\u0131\u0301o Gonz\u00e1lez-D\u0131\u0301az","orcid":"https://orcid.org/0000-0001-9937-0033"},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Rocio Gonzalez-Diaz","raw_affiliation_strings":["University of Seville, Department of Applied Math I, Seville, Spain, --- Select a Country ---"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Seville, Department of Applied Math I, Seville, Spain, --- Select a Country ---","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081777844","display_name":"Walter G. Kropatsch","orcid":"https://orcid.org/0000-0003-4915-4118"},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Walter Kropatsch","raw_affiliation_strings":["TU Wien, Pattern Recognition and Image Processing Group 193/03, Vienna, Austria, --- Select a Country ---"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Wien, Pattern Recognition and Image Processing Group 193/03, Vienna, Austria, --- Select a Country ---","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00814927,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"60","last_page":"70"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9991999864578247,"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9991999864578247,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9986000061035156,"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/T10036","display_name":"Advanced Neural Network Applications","score":0.9962999820709229,"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/contraction","display_name":"Contraction (grammar)","score":0.6771961450576782},{"id":"https://openalex.org/keywords/edge-contraction","display_name":"Edge contraction","score":0.6738065481185913},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5459704399108887},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.46800580620765686},{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.4438607692718506},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4351259469985962},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41317906975746155},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3994755148887634},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3295280337333679},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3218822479248047},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.25182121992111206},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2282569408416748},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1073247492313385},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.08977171778678894},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.07085379958152771}],"concepts":[{"id":"https://openalex.org/C163415756","wikidata":"https://www.wikidata.org/wiki/Q126473","display_name":"Contraction (grammar)","level":2,"score":0.6771961450576782},{"id":"https://openalex.org/C204562854","wikidata":"https://www.wikidata.org/wiki/Q1397646","display_name":"Edge contraction","level":5,"score":0.6738065481185913},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5459704399108887},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.46800580620765686},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.4438607692718506},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4351259469985962},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41317906975746155},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3994755148887634},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3295280337333679},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3218822479248047},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.25182121992111206},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2282569408416748},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1073247492313385},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.08977171778678894},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.07085379958152771},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5220/0010840900003122","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0010840900003122","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 11th International Conference on Pattern Recognition Applications and Methods","raw_type":"proceedings-article"},{"id":"pmh:oai:idus.us.es:11441/144287","is_oa":true,"landing_page_url":"https://hdl.handle.net/11441/144287","pdf_url":null,"source":{"id":"https://openalex.org/S4306401665","display_name":"Deposito de Investigacion Universidad de Sevilla (University of Seville)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79238269","host_organization_name":"Universidad de Sevilla","host_organization_lineage":["https://openalex.org/I79238269"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference output"}],"best_oa_location":{"id":"doi:10.5220/0010840900003122","is_oa":true,"landing_page_url":"https://doi.org/10.5220/0010840900003122","pdf_url":null,"source":null,"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 11th International Conference on Pattern Recognition Applications and Methods","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1505528213","https://openalex.org/W1971117671","https://openalex.org/W2002211861","https://openalex.org/W2024762634","https://openalex.org/W2068014716","https://openalex.org/W2116553182","https://openalex.org/W2125638038","https://openalex.org/W2136186816","https://openalex.org/W2490578157","https://openalex.org/W2608311224","https://openalex.org/W2917992617","https://openalex.org/W2969793202","https://openalex.org/W3153101654","https://openalex.org/W3186240299"],"related_works":["https://openalex.org/W2077314575","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W4380682190","https://openalex.org/W2005710836","https://openalex.org/W2102386043","https://openalex.org/W2945307361","https://openalex.org/W2946972079","https://openalex.org/W3105424255","https://openalex.org/W4288345683"],"abstract_inverted_index":{"A":[0,167],"structure":[1,119],"preserving":[2],"irregular":[3,47,113,222],"image":[4,91,98,114,223],"pyramid":[5,115,224],"can":[6,156,171,206],"be":[7,157,172,207],"computed":[8],"by":[9],"applying":[10],"basic":[11],"graph":[12,24,48],"operations":[13],"(contraction":[14],"and":[15,120,133,194],"removal":[16],"of":[17,25,58,73,96,123,141,148,153,164,197,203,220],"edges)":[18],"on":[19,55,78],"the":[20,38,56,59,62,71,74,79,97,106,118,121,124,130,134,139,142,145,149,177,183,187,191,195,198,214,218],"4":[21],"adjacent":[22],"neighbourhood":[23],"an":[26,33,46,85,221],"image.":[27],"In":[28],"this":[29,204],"paper,":[30],"we":[31,82,137,181],"derive":[32],"objective":[34,51,80,178,192],"function":[35,52,193],"that":[36,87,105,116,155,174],"classifies":[37],"edges":[39,60],"as":[40,209],"contractible":[41],"or":[42],"removable":[43],"for":[44,67,144,186,217],"building":[45],"pyramid.":[49],"The":[50,201],"is":[53],"based":[54],"cost":[57,196],"in":[61,110],"contraction":[63,75,150,165,169,199,215],"kernel":[64,170,216],"(sub-graph":[65],"selected":[66,173],"contraction)":[68],"together":[69,159],"with":[70],"size":[72],"kernel.":[76,200],"Based":[77],"function,":[81],"also":[83],"provide":[84],"algorithm":[86,108],"decomposes":[88],"a":[89,111,162,210],"2D":[90],"into":[92],"monotonically":[93],"connected":[94,146],"regions":[95],"surface,":[99],"called":[100],"slope":[101],"regions.":[102],"We":[103],"proved":[104],"proposed":[107],"results":[109],"graph-based":[112],"preserves":[117],"topology":[122],"critical":[125],"points":[126],"(the":[127],"local":[128,131],"maxima,":[129],"minima,":[132],"saddles).":[135],"Later":[136],"introduce":[138],"concept":[140],"dictionary":[143],"components":[147],"kernel,":[151],"consisting":[152],"sub-graphs":[154],"combined":[158],"to":[160,190],"form":[161],"set":[163],"kernels.":[166],"favorable":[168],"best":[175],"satisfies":[176],"function.":[179],"Lastly,":[180],"show":[182],"experimental":[184],"verification":[185],"claims":[188],"related":[189],"outcome":[202],"paper":[205],"envisioned":[208],"step":[211],"towards":[212],"learning":[213],"construction":[219]},"counts_by_year":[],"updated_date":"2026-08-14T07:06:38.338062","created_date":"2025-10-10T00:00:00"}