{"id":"https://openalex.org/W2115116953","doi":"https://doi.org/10.1109/icip.2005.1530141","title":"The Euclidean k-distance transformation in arbitrary dimensions: a separable implementation","display_name":"The Euclidean k-distance transformation in arbitrary dimensions: a separable implementation","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2115116953","doi":"https://doi.org/10.1109/icip.2005.1530141","mag":"2115116953"},"language":"en","primary_location":{"id":"doi:10.1109/icip.2005.1530141","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2005.1530141","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE International Conference on Image Processing 2005","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/87247","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043256458","display_name":"O. Cuisenaire","orcid":"https://orcid.org/0000-0002-9611-5026"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"O. Cuisenaire","raw_affiliation_strings":["Ecole Polytechnique Federale de Lausanne (EPFL), Signal Processing Institute, Lausanne, Switzerland","[Signal Process. Inst., Ecole Polytech. Fed. de Lausanne, Switzerland]"],"affiliations":[{"raw_affiliation_string":"Ecole Polytechnique Federale de Lausanne (EPFL), Signal Processing Institute, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"[Signal Process. Inst., Ecole Polytech. Fed. de Lausanne, Switzerland]","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043256458"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.17374288,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"II","last_page":"658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9997000098228455,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9997000098228455,"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/T10191","display_name":"Robotics and Sensor-Based Localization","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9976999759674072,"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/separable-space","display_name":"Separable space","score":0.7338990569114685},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.7337077260017395},{"id":"https://openalex.org/keywords/raster-graphics","display_name":"Raster graphics","score":0.6650312542915344},{"id":"https://openalex.org/keywords/euclidean-distance-matrix","display_name":"Euclidean distance matrix","score":0.6552780866622925},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.6504791975021362},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.5461581349372864},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.508965015411377},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.49377378821372986},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.489937961101532},{"id":"https://openalex.org/keywords/weighted-voronoi-diagram","display_name":"Weighted Voronoi diagram","score":0.48921895027160645},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.48049771785736084},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.46194228529930115},{"id":"https://openalex.org/keywords/raster-scan","display_name":"Raster scan","score":0.4403696060180664},{"id":"https://openalex.org/keywords/distance-transform","display_name":"Distance transform","score":0.43757495284080505},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.4350889325141907},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.4295836091041565},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3778378963470459},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.354861319065094},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20864716172218323},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1880216896533966},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.1485212743282318},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14230740070343018},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07576736807823181}],"concepts":[{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.7338990569114685},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.7337077260017395},{"id":"https://openalex.org/C181844469","wikidata":"https://www.wikidata.org/wiki/Q182270","display_name":"Raster graphics","level":2,"score":0.6650312542915344},{"id":"https://openalex.org/C171558263","wikidata":"https://www.wikidata.org/wiki/Q5406122","display_name":"Euclidean distance matrix","level":3,"score":0.6552780866622925},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.6504791975021362},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5461581349372864},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.508965015411377},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.49377378821372986},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.489937961101532},{"id":"https://openalex.org/C20468658","wikidata":"https://www.wikidata.org/wiki/Q17130624","display_name":"Weighted Voronoi diagram","level":3,"score":0.48921895027160645},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.48049771785736084},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.46194228529930115},{"id":"https://openalex.org/C145406643","wikidata":"https://www.wikidata.org/wiki/Q2641959","display_name":"Raster scan","level":2,"score":0.4403696060180664},{"id":"https://openalex.org/C73621898","wikidata":"https://www.wikidata.org/wiki/Q2940504","display_name":"Distance transform","level":3,"score":0.43757495284080505},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.4350889325141907},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.4295836091041565},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3778378963470459},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.354861319065094},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20864716172218323},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1880216896533966},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.1485212743282318},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14230740070343018},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07576736807823181},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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:10.1109/icip.2005.1530141","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icip.2005.1530141","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE International Conference on Image Processing 2005","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.epfl.ch:87247","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/231665","pdf_url":"http://infoscience.epfl.ch/record/87247","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"","raw_type":"conference proceedings"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:87247","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/231665","pdf_url":"http://infoscience.epfl.ch/record/87247","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"","raw_type":"conference proceedings"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2115116953.pdf","grobid_xml":"https://content.openalex.org/works/W2115116953.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1497420307","https://openalex.org/W1517229131","https://openalex.org/W1590129394","https://openalex.org/W1973965874","https://openalex.org/W2009427280","https://openalex.org/W2078059979","https://openalex.org/W2133221360","https://openalex.org/W2134560790","https://openalex.org/W6631049978","https://openalex.org/W6635483588"],"related_works":["https://openalex.org/W2375946647","https://openalex.org/W2355645862","https://openalex.org/W2389652943","https://openalex.org/W2212899008","https://openalex.org/W2128178760","https://openalex.org/W310595686","https://openalex.org/W4236390568","https://openalex.org/W1973965874","https://openalex.org/W1560500123","https://openalex.org/W2086290400"],"abstract_inverted_index":{"The":[0],"signed":[1],"k-distance":[2],"transformation":[3],"(k-DT)":[4],"computes":[5],"the":[6,32,46],"k":[7],"nearest":[8],"prototypes":[9],"from":[10],"each":[11],"location":[12],"on":[13],"a":[14,19,26],"discrete":[15],"regular":[16],"grid":[17],"within":[18],"given":[20],"D":[21,35],"dimensional":[22],"volume.":[23],"We":[24],"propose":[25],"new":[27],"k-DT":[28],"algorithm":[29],"that":[30],"divides":[31],"problem":[33],"into":[34],"1-dimensional":[36],"problems":[37],"and":[38,42,49],"compare":[39],"its":[40],"accuracy":[41],"computational":[43],"complexity":[44],"to":[45],"existing":[47],"raster-scanning":[48],"propagation":[50],"approaches.":[51]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
