{"version":1,"kind":"Article","sha256":"","slug":"121","location":"","dependencies":[],"doi":"10.54294/pu3y4t","frontmatter":{"title":"Well-Composed Image Filters for Repairing 2-D and 3-D Binary Images","abstract":"We consider 2-D and 3-D digital binary images characterized by their well-composedness. Well-composed images exhibit important topological and geometrical properties not shared by their ill-composed counterparts. \r\nThese properties have important implications for various algorithms used by the ITK community such as thinning algorithms and Marching Cubes. We introduce two image filters which repair images that are ill-composed such that the output images are well-composed.","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":["well-composedness","digital topology","binary images"],"authors":[{"name":"Tustison, Nicholas","email":"ntustison@gmail.com","affiliations":[],"corresponding":true},{"name":"Siqueira, Marcelo","affiliations":[]},{"name":"Gee, James","email":"gee@mail.med.upenn.edu","affiliations":[]}],"date_submitted":"2006-08-30T15:40:22Z","external_publication_id":121,"revision_cids":["bafkreiaeby4bu5lzhazwrxzgrjxwdoetcs6qpvfwizflpxhut77f4mqnsu"]},"mdast":{"type":"root"},"downloads":[{"url":"https://pub.desci.com/ipfs/bafkreigmhy7mmkfdphgda7piimpy2qx7q4nn7bqt45ucmapcr4g6qrasey","title":"root/code/Source/.DS_Store","filename":".DS_Store","extra":{"size_bytes":6148,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreig7cydc5vsuufqrtkhnud3cvw6bsh5pk4whbg4fczzhihtbxzf5x4","title":"root/code/Source/BinaryWellComposed2DImageFilter.cxx","filename":"BinaryWellComposed2DImageFilter.cxx","extra":{"size_bytes":2436,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreigdvgr6gm4de53jpfxmrew447cckk4pdwo47t24vaa462gjwo5se4","title":"root/code/Source/BinaryWellComposed3DImageFilter.cxx","filename":"BinaryWellComposed3DImageFilter.cxx","extra":{"size_bytes":1004,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreiesagnipvdsrbjvdvob7afua45qntyzkon3vvgfoh6ysy5mvrzm54","title":"root/code/Source/CMakeLists.txt","filename":"CMakeLists.txt","extra":{"size_bytes":2176,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreiatekj56hyg737rvw5gkabmhk7ye6xg7bmajgtz5nqzoienkeah7y","title":"root/code/Source/IJMacros.txt","filename":"IJMacros.txt","extra":{"size_bytes":3973,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreigxduyav7uvtukpjzmasco5blutl5qsuk4mddktrbfkcdypajl6x4","title":"root/code/Source/brain3d.hdr","filename":"brain3d.hdr","extra":{"size_bytes":348,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafybeihsxuhclaiyx32646v6iskxwosrmaa3srfzxaf2vcoucohy3354eu","title":"root/code/Source/brain3d.img","filename":"brain3d.img","extra":{"size_bytes":28436548,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreiadzzyjhnpr3wrmt7zlzcwsrkfs55uycl7mfk6pruc7byqmozgizi","title":"root/code/Source/itkBinaryWellComposed2DImageFilter.h","filename":"itkBinaryWellComposed2DImageFilter.h","extra":{"size_bytes":3923,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreibvdmtk43d5isbbsatqqzzfqb4ncwmzexwssqglrgwcu3rpobz63i","title":"root/code/Source/itkBinaryWellComposed2DImageFilter.txx","filename":"itkBinaryWellComposed2DImageFilter.txx","extra":{"size_bytes":12684,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreia6beqxnztflarnnhjfomrq2fa4jhwe4bsmlw3ha4nqhwgebhdd3q","title":"root/code/Source/itkBinaryWellComposed3DImageFilter.h","filename":"itkBinaryWellComposed3DImageFilter.h","extra":{"size_bytes":4377,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreib3ju3qyio625x3llc2pgae3msvyrwoeofrhstomwvqb7jutrn6zi","title":"root/code/Source/itkBinaryWellComposed3DImageFilter.txx","filename":"itkBinaryWellComposed3DImageFilter.txx","extra":{"size_bytes":29242,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreibr43prbju4updrvtbb4ormqucebzsehie5l7tteu5mq6o26q3tzu","title":"root/code/Source/progress.make","filename":"progress.make","extra":{"size_bytes":23,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreiaqovhtnge3jkzslykflzfzxkkgmct67hpavgcpbkquv6hexvgxnm","title":"root/code/Source/random2d.hdr","filename":"random2d.hdr","extra":{"size_bytes":348,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreidoskmyzculiymbpbrhjoefo22njmglnde33ti5fov6xyaprcysjm","title":"root/code/Source/random2d.img","filename":"random2d.img","extra":{"size_bytes":1764,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreigym7pqg4yiyqa4gwnwqgtwt3castg3alfuncbfr6igwzx3632fra","title":"root/code/Source/repaired2d.hdr","filename":"repaired2d.hdr","extra":{"size_bytes":348,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreicbjhiccpnsltt3wxfrozedcrxo5rfteg2ny2mskcv65p6ylkxu7e","title":"root/code/Source/repaired2d.img","filename":"repaired2d.img","extra":{"size_bytes":1764,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreigxduyav7uvtukpjzmasco5blutl5qsuk4mddktrbfkcdypajl6x4","title":"root/code/Source/repaired3d.hdr","filename":"repaired3d.hdr","extra":{"size_bytes":348,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafybeicpabrpqginkg45njokhz6qtkxjrwibgnu5w63uve5tbmaa5sxqhi","title":"root/code/Source/repaired3d.img","filename":"repaired3d.img","extra":{"size_bytes":28436548,"type":"file"}},{"url":"https://ipfs.desci.com/ipfs/bafkreicu7hkqwvuxttrk4yjwgtemlaxpsz6ukdkuwkcirztqhfo3dvdn3m","title":"root/insight-journal-metadata.json","filename":"insight-journal-metadata.json","extra":{"size_bytes":9516,"type":"file"}},{"url":"https://ipfs.desci.com/ipfs/bafkreielnc5ledttqvs4bsvilcyvtqst3tfflkio3aypzgiykxsbfbvhx4","title":"root/reviews.md","filename":"reviews.md","extra":{"size_bytes":4212,"type":"file"}},{"url":"https://dweb.link/ipfs/bafybeifbxgb4sylscio66hh35rthvondpib6ckkpi4epa5xykwjvlf4gvi","title":"root/article.pdf","filename":"article.pdf","extra":{"size_bytes":1284489,"type":"file"}}],"references":{"cite":{"order":["ref1","ref2","ref3","ref4","ref5","ref6"]},"data":{"ref1":{"label":"ref1","enumerator":"1","url":"https://doi.org/10.1006/cviu.1995.1006","html":"and+Computer Vision and Image Understanding+61+1+70+83+1995+L. Latecki+U. Eckhardt+A. Rosenfeld+Well-Composed Sets"},"ref2":{"label":"ref2","enumerator":"2","url":"https://doi.org/10.1007/978-94-015-9002-0","html":"Discrete Representation of Spatial Objects in Computer Vision+1998+3+67+2+L. J. Latecki"},"ref3":{"label":"ref3","enumerator":"3","url":"https://doi.org/10.1006/cviu.1995.1061","html":"Digitizations preserving topological and differential geometric properties”, Computer Vision+62+3+370+381+1995+A. Gross+L. J. Latecki"},"ref4":{"label":"ref4","enumerator":"4","url":"https://doi.org/10.1109/tpami.2007.250604","html":"Topological Equivalence between a 3D Object and the Reconstruction of its Digital Image”+IEEE Transactions on Pattern Analysis and Machine Intelligence (accepted for publication).+P. Stelldinger+L. J. Latecki+M. Siqueira"},"ref5":{"label":"ref5","enumerator":"5","url":"https://doi.org/10.1117/12.596447","html":"Making 3D Binary Digital Images Well-Composed”+Proc. of the IS&T/SPIE Conference on Vision Geometry XIII, SPIE+1+2+163+2005+2+M. Siqueira+L. J. Latecki+J. Gallier"},"ref6":{"label":"ref6","enumerator":"6","url":"https://doi.org/10.1117/12.596447","html":"Making 3D Binary Digital Images Well-Composed”+Technical Report MS-CIS-04-22+2004+M. Siqueira+L. J. Latecki+J. Gallier"}}}}