{"id":"https://openalex.org/W2034385003","doi":"https://doi.org/10.1137/130932430","title":"Efficient Image Segmentation and Restoration Using Parametric Curve Evolution with Junctions and Topology Changes","display_name":"Efficient Image Segmentation and Restoration Using Parametric Curve Evolution with Junctions and Topology Changes","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2034385003","doi":"https://doi.org/10.1137/130932430","mag":"2034385003"},"language":"en","primary_location":{"id":"doi:10.1137/130932430","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130932430","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","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/A5113652722","display_name":"Heike Benninghoff","orcid":null},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Heike Benninghoff","raw_affiliation_strings":["German Aerospace Center"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"German Aerospace Center","institution_ids":["https://openalex.org/I2898391981"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071758656","display_name":"Harald Garcke","orcid":"https://orcid.org/0000-0001-5235-2073"},"institutions":[{"id":"https://openalex.org/I60668342","display_name":"University of Regensburg","ror":"https://ror.org/01eezs655","country_code":"DE","type":"education","lineage":["https://openalex.org/I60668342"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Harald Garcke","raw_affiliation_strings":["University of Regensburg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Regensburg","institution_ids":["https://openalex.org/I60668342"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.9113,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.92894256,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"7","issue":"3","first_page":"1451","last_page":"1483"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation 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/T10052","display_name":"Medical Image Segmentation 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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.994700014591217,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9904999732971191,"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/image-segmentation","display_name":"Image segmentation","score":0.6761023998260498},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.626177966594696},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.6113952994346619},{"id":"https://openalex.org/keywords/scale-space-segmentation","display_name":"Scale-space segmentation","score":0.5537515878677368},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5481139421463013},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.5337755680084229},{"id":"https://openalex.org/keywords/image-restoration","display_name":"Image restoration","score":0.5115212202072144},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5028078556060791},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.49381932616233826},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4763075113296509},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47462594509124756},{"id":"https://openalex.org/keywords/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.4693528115749359},{"id":"https://openalex.org/keywords/maximum-a-posteriori-estimation","display_name":"Maximum a posteriori estimation","score":0.4565829634666443},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43486109375953674},{"id":"https://openalex.org/keywords/segmentation-based-object-categorization","display_name":"Segmentation-based object categorization","score":0.4142847955226898},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3984306752681732},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.34059998393058777},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07041791081428528},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.0701044499874115}],"concepts":[{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.6761023998260498},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.626177966594696},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.6113952994346619},{"id":"https://openalex.org/C65885262","wikidata":"https://www.wikidata.org/wiki/Q7429708","display_name":"Scale-space segmentation","level":4,"score":0.5537515878677368},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5481139421463013},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.5337755680084229},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.5115212202072144},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5028078556060791},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.49381932616233826},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4763075113296509},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47462594509124756},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.4693528115749359},{"id":"https://openalex.org/C9810830","wikidata":"https://www.wikidata.org/wiki/Q635384","display_name":"Maximum a posteriori estimation","level":3,"score":0.4565829634666443},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43486109375953674},{"id":"https://openalex.org/C25694479","wikidata":"https://www.wikidata.org/wiki/Q7446278","display_name":"Segmentation-based object categorization","level":5,"score":0.4142847955226898},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3984306752681732},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.34059998393058777},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07041791081428528},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.0701044499874115},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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":3,"locations":[{"id":"doi:10.1137/130932430","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130932430","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:epub.uni-regensburg.de:61832","is_oa":false,"landing_page_url":"http://orcid.org/0000-0001-5235-2073>","pdf_url":null,"source":{"id":"https://openalex.org/S4306401229","display_name":"University of Regensburg Publication Server (University of Regensburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60668342","host_organization_name":"University of Regensburg","host_organization_lineage":["https://openalex.org/I60668342"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:elib.dlr.de:89709","is_oa":false,"landing_page_url":"http://epubs.siam.org/doi/abs/10.1137/130932430","pdf_url":null,"source":{"id":"https://openalex.org/S4377196266","display_name":"elib (German Aerospace Center)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2898391981","host_organization_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","host_organization_lineage":["https://openalex.org/I2898391981"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Zeitschriftenbeitrag"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W40037269","https://openalex.org/W1488664435","https://openalex.org/W1974612288","https://openalex.org/W1974966195","https://openalex.org/W1987579928","https://openalex.org/W1988317155","https://openalex.org/W1991113069","https://openalex.org/W1991236080","https://openalex.org/W2007156453","https://openalex.org/W2016787456","https://openalex.org/W2023297597","https://openalex.org/W2023782505","https://openalex.org/W2026356722","https://openalex.org/W2026912579","https://openalex.org/W2040124524","https://openalex.org/W2043304250","https://openalex.org/W2051917325","https://openalex.org/W2066945800","https://openalex.org/W2092509712","https://openalex.org/W2098173396","https://openalex.org/W2104095591","https://openalex.org/W2110158442","https://openalex.org/W2114487471","https://openalex.org/W2115218270","https://openalex.org/W2116040950","https://openalex.org/W2118891573","https://openalex.org/W2121927366","https://openalex.org/W2125412888","https://openalex.org/W2128931829","https://openalex.org/W2133542147","https://openalex.org/W2139613843","https://openalex.org/W2142641029","https://openalex.org/W2148395215","https://openalex.org/W2149184914","https://openalex.org/W2151953103","https://openalex.org/W2155904486","https://openalex.org/W2165734775","https://openalex.org/W2172029033","https://openalex.org/W2416170369","https://openalex.org/W3211330693"],"related_works":["https://openalex.org/W3144569342","https://openalex.org/W2185902295","https://openalex.org/W2945274617","https://openalex.org/W2372421320","https://openalex.org/W2057775483","https://openalex.org/W2041871225","https://openalex.org/W2386644571","https://openalex.org/W2387793296","https://openalex.org/W1558398159","https://openalex.org/W2371519352"],"abstract_inverted_index":{"Curve":[0],"evolution":[1],"schemes":[2],"are":[3],"introduced":[4],"for":[5,15,41],"image":[6,42],"segmentation":[7,43],"based":[8],"on":[9,64,69],"a":[10,25,36],"region-based":[11],"contour":[12],"model":[13],"allowing":[14],"junctions,":[16],"vector-valued":[17],"images,":[18],"and":[19,38,44,68],"topology":[20],"changes.":[21],"Together":[22],"with":[23],"an":[24],"posteriori":[26],"denoising":[27],"in":[28],"the":[29,56,73,76],"segmented":[30],"homogeneous":[31],"regions,":[32],"this":[33],"leads":[34],"to":[35],"fast":[37],"efficient":[39],"method":[40],"restoration.":[45],"An":[46],"uneven":[47],"spread":[48],"of":[49,59,75],"mesh":[50],"points":[51],"is":[52],"avoided":[53],"by":[54],"using":[55],"tangential":[57],"degrees":[58],"freedom.":[60],"Several":[61],"numerical":[62],"simulations":[63],"artificial":[65],"test":[66],"problems":[67],"real":[70],"images":[71],"illustrate":[72],"performance":[74],"method.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}