{"version":1,"kind":"Article","sha256":"","slug":"155","location":"","dependencies":[],"doi":"10.54294/1qwjb9","frontmatter":{"title":"Spherical Wavelet ITK Filter","abstract":"This paper describes the Insight Toolkit (ITK) Spherical Wavelet object: itkSWaveletSource. This\r\nITK object is an implementation of a paper by Schr¨oder and W. Sweldens, “Spherical Wavelets: Effi-\r\nciently Representing Functions on the Sphere” [8], with pseudo-code given in their paper entitled “Spherical\r\nwavelets: Texture processing” [7]. In these papers, Swelden et. al. show how to do decompose a\r\nscalar signal defined on a spherical mesh into spherical wavelet coefficients (analysis step, also called\r\nforward transform), and vice-versa (synthesis step, also called inverse transform). We have implemented\r\nthe spherical wavelet transform in ITK entitled itkSWaveletSource object, which will take the scalar\r\nfunction defined on a spherical mesh as input and apply spherical wavelet analysis and synthesis on it.\r\nIn this paper, we describe our code and provide the user with enough details to reproduce the results\r\nwhich we present in this paper. This filter has a variety of applications including shape representation\r\nand shape analysis of brain surfaces, which was the initial motivation for this work.\r\nThis paper is accompanied with the source code, input data, parameters and output data that the\r\nauthors used for validating the spherical wavelet transform described in this paper.","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":["Spherical Wavelet","ITK","Shape analysis"],"authors":[{"name":"Gao, Yi","email":"yi.gao@gatech.edu","affiliations":["Georgia Institute of Technology"],"corresponding":true},{"name":"Nain, Delphine","email":"delfin@cc.gatech.edu","affiliations":[]},{"name":"LeFaucheur, Xavier","affiliations":[]},{"name":"Tannenbaum, Allen","affiliations":[]}],"date_submitted":"2007-06-13","external_publication_id":155,"revision_cids":["bafkreibekpblpxgqaqpxeiponqb3cxca3ybf52nglh6e6hsbi7dgv5yk7m"]},"mdast":{"type":"root"},"downloads":[{"url":"https://pub.desci.com/ipfs/bafkreiahfa7npspc3r47djip4hytfxin5kfebmhgdt2wkorxc5jydquzki","title":"root/code/itkSWaveletTest/CMakeLists.txt","filename":"CMakeLists.txt","extra":{"size_bytes":1296,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreibo5gjkld2wbbgglaykddn3vzur5dmapqbfq6xx3fbsu3jk5lekwu","title":"root/code/itkSWaveletTest/displayMesh.txx","filename":"displayMesh.txx","extra":{"size_bytes":3901,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreiej5ebyfq5fruwnx425ofkmzt7sev4ogjcg33vxmknlprypnzbkbe","title":"root/code/itkSWaveletTest/itkSWaveletSource.h","filename":"itkSWaveletSource.h","extra":{"size_bytes":9423,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreice2fghypfncpoahi5limvihz6dpiyo3b5k4zigajs7a3xescv7a4","title":"root/code/itkSWaveletTest/itkSWaveletSource.txx","filename":"itkSWaveletSource.txx","extra":{"size_bytes":53703,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreif5avswrssvo4jprpiuwcllwi3jg7e6gwhihupgnuhkvajxzf66de","title":"root/code/itkSWaveletTest/itkSWaveletTest.cxx","filename":"itkSWaveletTest.cxx","extra":{"size_bytes":4857,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreihj45irchywpnei7s33vq3nmqqdzgolljj55o3i2uc3f6alapkepm","title":"root/code/itkSWaveletTest/itkSWaveletTest.h","filename":"itkSWaveletTest.h","extra":{"size_bytes":1797,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreia35krb3r6hcqyxfocibhzzi3p74f34v7rh7qdldgaafokxojdpqi","title":"root/code/itkSWaveletTest/itkSWaveletTest1.cxx","filename":"itkSWaveletTest1.cxx","extra":{"size_bytes":1254,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreif6hb4jkuuj7lslpx3mrd4sp2ykj26zxr4xfbfmoerol7qttocesq","title":"root/code/itkSWaveletTest/itkSWaveletTest2.cxx","filename":"itkSWaveletTest2.cxx","extra":{"size_bytes":2720,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreidnnodxu35xqalk6tt7tfotdiw6gfknz3f2rufskbs432u2chkacu","title":"root/code/itkSWaveletTest/itkSWaveletTest3.cxx","filename":"itkSWaveletTest3.cxx","extra":{"size_bytes":1867,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreicgo3ewziwzri4qe7opozj5ew4vle36liqkam6w233tpqexnm5dly","title":"root/code/itkSWaveletTest/itkSWaveletTest4.cxx","filename":"itkSWaveletTest4.cxx","extra":{"size_bytes":2232,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreihzzzeywtxikiudqxo6o5zrb7moi4xehdni2jndvdn2nfnbx6cmau","title":"root/code/itkSWaveletTest/itkSWaveletTest5.cxx","filename":"itkSWaveletTest5.cxx","extra":{"size_bytes":2970,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreibq7oz2gzhkxlzqc24xmsdqhdah75m5sb4zosrc2fvgmiyr3vbwsq","title":"root/code/itkSWaveletTest/para10.meta","filename":"para10.meta","extra":{"size_bytes":68174,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreidhibfhcwl6ebjdyokphfgpjylke66wmsq365zqfcs5ltnqxpwahu","title":"root/code/itkSWaveletTest/right_wcase62d_pp_surfSPHARM_procalign_Y.txt","filename":"right_wcase62d_pp_surfSPHARM_procalign_Y.txt","extra":{"size_bytes":9526,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreigu4douiyb6czofzchnd64zcyptgdj7hbcfb26qhxojegavpeoodq","title":"root/code/itkSWaveletTest/x10.txt","filename":"x10.txt","extra":{"size_bytes":10522,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreibo2lllp7kfcfdziquooahpvqebzsqwu3hya2rh67237krbwpzorq","title":"root/code/itkSWaveletTest/meta/finestSubdivision0.meta","filename":"finestSubdivision0.meta","extra":{"size_bytes":861,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreias57y564cmvmvaeloj4l34znwfxpmmmhzpwe4qub2ymmfuwtf73u","title":"root/code/itkSWaveletTest/meta/finestSubdivision1.meta","filename":"finestSubdivision1.meta","extra":{"size_bytes":2438,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreidhokt7bftfgyn5jaw6zbxrqsyfkzxcurccetugj4jasnhq76hy24","title":"root/code/itkSWaveletTest/meta/finestSubdivision2.meta","filename":"finestSubdivision2.meta","extra":{"size_bytes":9949,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreidygp76qdj4vo2vo3gybcoxijemmrmwp7uwm4nsdfp62ikekn5nkq","title":"root/code/itkSWaveletTest/meta/finestSubdivision3.meta","filename":"finestSubdivision3.meta","extra":{"size_bytes":42296,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreibsau6zu23ujrng5xj4stzfhn43frrq646ewlyknrdh3q7q4unuke","title":"root/code/itkSWaveletTest/meta/finestSubdivision4.meta","filename":"finestSubdivision4.meta","extra":{"size_bytes":185839,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafkreihxxdzl4r5w6abregtqkzjr6berp2ypz4utofrmdvxaylyca5ehdi","title":"root/code/itkSWaveletTest/meta/finestSubdivision5.meta","filename":"finestSubdivision5.meta","extra":{"size_bytes":784237,"type":"file"}},{"url":"https://pub.desci.com/ipfs/bafybeiel7rht35s2coym7yqthkirsv473i5m6gi6xlanonk64h5xocqkxy","title":"root/code/itkSWaveletTest/meta/finestSubdiv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