{"version":1,"kind":"Article","sha256":"","slug":"775","location":"","dependencies":[],"doi":"10.54294/zv7979","thumbnail":"https://pub.desci.com/ipfs/bafkreidy4uiwyxxvb6jomcnbix3uyxzji7atdcrmmhcjrrxxmtwvxg5eli","frontmatter":{"title":"Higher Order Accurate Derivative and Gradient Calculation in ITK","abstract":"In this article we describe higher order accurate derivative and gradient image filters for the InsightToolkit. These filters are central difference-based numerical derivative approximations that account for additional Taylor series terms and are based on the expressions given by Khan and Ohba.\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":["derivative","Taylor series","gradient"],"authors":[{"name":"McCormick, Matthew","email":"matthew.m.mccormick@gmail.com","affiliations":["University of Wisconsin-Madison"],"corresponding":true}],"date_submitted":"2010-11-12 07:39:07","external_publication_id":775,"revision_cids":["bafkreidzrlyyx4l6l7rk2nuhqiqlmh36at7hfqd335c6i7iynnli4vo5z4"],"github":"https://github.com/InsightSoftwareConsortium/ITKHigherOrderAccurateGradient.git","thumbnail":"https://pub.desci.com/ipfs/bafkreidy4uiwyxxvb6jomcnbix3uyxzji7atdcrmmhcjrrxxmtwvxg5eli"},"mdast":{"type":"root"},"downloads":[{"url":"https://ipfs.desci.com/ipfs/bafkreieeblkj67xjdy5un56h375up25xvfn5nigmdjw4o44h3jgjut6qhi","title":"root/insight-journal-metadata.json","filename":"insight-journal-metadata.json","extra":{"size_bytes":3261,"type":"file"}},{"url":"https://dweb.link/ipfs/bafybeig7o27uyjrisryardga2hqondcck3n65uk3r33lgxhzydpz7p7fnq","title":"root/article.pdf","filename":"article.pdf","extra":{"size_bytes":2274786,"type":"file"}}],"references":{"cite":{"order":["ref1","ref2"]},"data":{"ref1":{"label":"ref1","enumerator":"1","url":"https://doi.org/10.1016/s0377-0427(99)00088-6","html":"Closed-form expressions for the finite difference approximations of first and higher derivatives based on Taylor series+Journal of Computational and Applied Mathematics+107+2+193+1999+IR Khan"},"ref2":{"label":"ref2","enumerator":"2","url":"https://doi.org/10.1016/s0377-0427(02)00816-6","html":"[2] Khan, IR and Ohba, Ryoji. Taylor series based finite difference approximations of higherdegree derivatives+=10.1.1.149.7922\\& rep=rep1\\&type=pdf. 1+154+115+124+2003"}}}}