{"version":1,"kind":"Article","sha256":"","slug":"90","location":"","dependencies":[],"doi":"10.54294/c46wom","frontmatter":{"title":"A Generalized Squared Euclidean Distance Transform with Voronoi Maps","abstract":"This document describes the implementation of an algorithm that computes a generalization of the distance transform with the squared euclidean metric.\n\nThe generalization allows for interesting image operators, e.g. a morphologic dilation with euclidean ball structure elements that can vary in size across the image. Voronoi maps and the standard distance transform can be computed as well.\n\nThe algorithm is provided as an image processing filter for ITK. Several example programs demonstrate its applications.","license":"You are licensing your work to Kitware Inc. under the\nCreative Commons Attribution License Version 3.0.\n\nKitware Inc. agrees to the following:\n\nKitware is free\n * to copy, distribute, display, and perform the work\n * to make derivative works\n * to make commercial use of the work\n\nUnder the following conditions:\n\\\"by Attribution\\\" - Kitware must attribute the work in the manner specified by the author or licensor.\n\n * For any reuse or distribution, they must make clear to others the license terms of this work.\n * Any of these conditions can be waived if they get permission from the copyright holder.\n\nYour fair use and other rights are in no way affected by the above.\n\nThis is a human-readable summary of the Legal Code (the full license) available at\nhttp://creativecommons.org/licenses/by/3.0/legalcode","keywords":["Voronoi Map","Distance Transform"],"authors":[{"name":"King, Benjamin","email":"benjaminking@web.de","affiliations":["none"],"corresponding":true},{"name":"Döker, Rolf","affiliations":[]},{"name":"Meier, Simone","affiliations":[]},{"name":"Shin, Hoen-oh","affiliations":[]},{"name":"Galanski, Michael","affiliations":[]}],"date_submitted":"2006-05-22T08:19:12Z","external_publication_id":90,"revision_cids":["bafkreihmly32yekbugewsp6ti6chvjt6rgloyswpyccl7rfxjwz3n3ktre"],"github":"https://github.com/midas-journal/midas-journal-90.git"},"mdast":{"type":"root"},"downloads":[{"url":"https://ipfs.desci.com/ipfs/bafkreiepzaerez5amjxe6t6te7mfrvtzvcwt3oxqpwhx4prgb4eakv77l4","title":"root/reviews.md","filename":"reviews.md","extra":{"size_bytes":5870,"type":"file"}},{"url":"https://ipfs.desci.com/ipfs/bafkreiepmha5yk7zzlmnfkwn3xpkheofr7xmmzu4d6wszjivskbm7e46ly","title":"root/insight-journal-metadata.json","filename":"insight-journal-metadata.json","extra":{"size_bytes":9864,"type":"file"}},{"url":"https://dweb.link/ipfs/bafkreia4txnf3b5nnbgcfu6jrkyieh5d2bgvkqx4esl5w7naetkr4ooywa","title":"root/article.pdf","filename":"article.pdf","extra":{"size_bytes":333178,"type":"file"}}],"references":{"cite":{"order":["ref1","ref2"]},"data":{"ref1":{"label":"ref1","enumerator":"1","html":"Fast Algorithms and Applications to Medical Image Processing+PhD thesis+1999+Olivier Cuisenaire"},"ref2":{"label":"ref2","enumerator":"2","html":"N-D linear time exact signed euclidean distance transform+The Insight Journal+1+5+1+416+Feb 2006+Olivier Cuisenaire+Tustison+C. James+Gee"}}}}