{"version":1,"kind":"Article","sha256":"","slug":"304","location":"","dependencies":[],"doi":"10.54294/qw6pt8","thumbnail":"https://pub.desci.com/ipfs/bafkreidb5t44axiaxe45m7qjfejza52xsp5vvl3row2nw3vqe6245n7q6e","frontmatter":{"title":"A Novel Information-Theoretic Point-Set Measure Based on the Jensen-Havrda-Charvat-Tsallis Divergence","abstract":"A novel point-set registration algorithm was proposed in [6] based on minimization of the Jensen-Shannon divergence. In this contribution, we generalize this Jensen-Shannon divergence point-set measure framework to the Jensen-Havrda-Charvat-Tsallis divergence. This generalization permits a fine-tuning of the actual divergence measure between robustness and specificity. The principle contribution of this submission is theitk::JensenHavrdaCharvatTsallisPointSetMetric class which is derived from the existing itk::PointSetToPointSetMetric. In addition, we provide other classes with utility that would extend beyond the point-set measure framework that we provide in this paper. This includes a point-set analogue of the itk::ImageFunction, i.e. itk::PointSetFunction. From this class we derive the class itk::ManifoldParzenWindowsPointSetFunction which provides a Parzen windowing scheme for learning the local structure of point-sets. Finally, we include the \r\nitk::DecomposeTensorFunction class which wraps the different vnl matrix decomposition schemes for easy use within ITK. \r\n","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":["tensor decomposition","Jensen-Shannon","Jensen-Havrda-Charvat-Tsallis","point-set metric"],"authors":[{"name":"Tustison, Nicholas","email":"ntustison@gmail.com","affiliations":[],"corresponding":true},{"name":"Awate, Suyash","email":"suyash@cs.utah.edu","affiliations":[]},{"name":"Gee, James","email":"gee@mail.med.upenn.edu","affiliations":[]}],"date_submitted":"2008-11-09 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