{"version":1,"kind":"Article","sha256":"","slug":"112","location":"","dependencies":[],"doi":"10.54294/msr7a5","frontmatter":{"title":"Conformal Flattening ITK Filter","abstract":"This paper describes the Insight Toolkit (ITK) Conformal Flattening filter: itkConformalFlatteningFilter.\r\nThis ITK filter is an implementation of a paper by Sigurd Angenent, et al., “On the Laplace-Beltrami\r\nOperator and Brain Surface Flattening”. This filter performs an angle preserving map of any genus\r\nzero (i.e. no handles) triangulated mesh to the sphere or, alternatively, to the plane. In other words,\r\nany given triangle in the resulting sphere will have the same angles as the corresponding triangle in the\r\noriginal mesh, though their areas may differ. In this paper, we describe our code and provide the user\r\nwith enough details to reproduce the results which we present in this paper. This filter has a variety of\r\napplications including the flattening of brain surfaces, which was the initial motivation for this work.","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":["Brain","Conformal Flattening","Mesh","ITK","VTK","Angle-preserving"],"authors":[{"name":"Gao, Yi","email":"yi.gao@gatech.edu","affiliations":[]},{"name":"Melonakos, John","email":"jmelonak@ece.gatech.edu","affiliations":["Georgia Tech"],"corresponding":true},{"name":"Melonakos, John","email":"john@arrayfire.com","affiliations":[]},{"name":"Tannenbaum, Allen","affiliations":[]}],"date_submitted":"2006-07-11T03:41:53Z","external_publication_id":112,"revision_cids":["bafkreicyqretxrisuovyfixbidpwjmh2bpqxuf67bfyezqhxjt5a63cc6a"]},"mdast":{"type":"root"},"downloads":[{"url":"https://pub.desci.com/ipfs/bafkreibujoctgnsgorh63fcb2gs3tdan7t2hh6adggz3vkcwrslfm3laiy","title":"root/code/itkConformalFlattening-code/CMakeLists.txt","filename":"CMakeLists.txt","extra":{"size_bytes":2093,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreicyta3inw6ilixlzxperu5lo2c6act3nlgcar7o55244cq5n4e6li","title":"root/code/itkConformalFlattening-code/CMakeTemplate.txt","filename":"CMakeTemplate.txt","extra":{"size_bytes":1918,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreigi7yaxzxym5hdiptzp2xhxbjrfeoh5cmirtid7cike6hiycd22qy","title":"root/code/itkConformalFlattening-code/IJMacros.txt","filename":"IJMacros.txt","extra":{"size_bytes":3205,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreibkmvwafbdnl5eu3wo3mbsngdakpjngxd44bxtbpeovnvaktafvcu","title":"root/code/itkConformalFlattening-code/ImageCompare.cxx","filename":"ImageCompare.cxx","extra":{"size_bytes":8164,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreibh6lis47avp6jakwptqyddqvqgta6vqcgrtrhjp2litxhfelchla","title":"root/code/itkConformalFlattening-code/itkConformalFlatteningFilter.h","filename":"itkConformalFlatteningFilter.h","extra":{"size_bytes":4207,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreihp43q6w4qaxi6w6cfb7lpgzey4htgcm325ixfm3qqg2gi7nqaspu","title":"root/code/itkConformalFlattening-code/itkConformalFlatteningFilter.txx","filename":"itkConformalFlatteningFilter.txx","extra":{"size_bytes":24636,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreidc5xpv4bxnu5uldspyio2vipxf6qcpw4yi73anz2p2emz4rn7gye","title":"root/code/itkConformalFlattening-code/itkConformalFlatteningFilterTest.cxx","filename":"itkConformalFlatteningFilterTest.cxx","extra":{"size_bytes":8289,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreib2gulaxdtpfk7cdashsap7nix3lhcj36t6y2zi2cuuwznsmx5yji","title":"root/code/itkConformalFlattening-code/itkConformalFlatteningFilterTest.h","filename":"itkConformalFlatteningFilterTest.h","extra":{"size_bytes":1520,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafybeid6vke3dzn7aikbvgtsbwkvx45ocrfp7de2livayqtuco3shdbjla","title":"root/code/itkConformalFlattening-data/brain.vtk","filename":"brain.vtk","extra":{"size_bytes":15236402,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreicbqwb4xwrlv5xtukjy6rdd23r6v426cqmc553j4sm4dqoc5oc5om","title":"root/code/itkConformalFlattening-data/nice.vtk","filename":"nice.vtk","extra":{"size_bytes":265594,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreiddhcx5e7h2wz5xdennvcdeaffgvmoqxdqgdtob6gragm3afk5ory","title":"root/code/itkConformalFlattening-data/niceFlat.vtk","filename":"niceFlat.vtk","extra":{"size_bytes":322794,"type":"file"}},{"url":"https://ipfs.desci.com/ipfs/bafkreiduln6zwvf35xnotd2a5grekvuon7zcbho67h6wtxuhbqlnkf2vky","title":"root/reviews.md","filename":"reviews.md","extra":{"size_bytes":6260,"type":"file"}},{"url":"https://ipfs.desci.com/ipfs/bafkreihyj7ilhptjjicm4if6fjty3qvxqk22wrvxacuv6zchue6uu3pk5a","title":"root/insight-journal-metadata.json","filename":"insight-journal-metadata.json","extra":{"size_bytes":11867,"type":"file"}},{"url":"https://dweb.link/ipfs/bafybeifnbb7kgwslmb2cqjtjmgnttmn2xm4zmou7i75yolxwzjmxwezkim","title":"root/article.pdf","filename":"article.pdf","extra":{"size_bytes":4068936,"type":"file"}}],"references":{"cite":{"order":["ref1","ref2","ref3","ref4","ref5"]},"data":{"ref1":{"label":"ref1","enumerator":"1","url":"https://doi.org/10.1109/42.796283","html":"On 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