{"version":1,"kind":"Article","sha256":"","slug":"319","location":"","dependencies":[],"doi":"10.54294/gd9piz","thumbnail":"https://pub.desci.com/ipfs/bafkreiaww2qa6eqhahe54voivt4zzdsvnplx3hmmqoczw22uuazn2rx6oq","frontmatter":{"title":"Optimal mass transport for deformable registration and warping of 2D images","abstract":"We implement a warping method which is using the properties of elastic materials to compute the deformation between two images. The proposed elastic registration method incorporates the L2 Kantorovich-Wasserstein distance, also known as the Earth Mover’s Distance (EMD), as a similarity measure. The implemented paper presents an efficient partial differential equation approach for a first-order solution of this problem that is simpler than existing works suggested high-order solutions and is computationally simpler than existing works based on linear programming.\r\n\r\nSpecifically, we implement the following paper\r\nSteven Haker, Lei Zhu, Allen Tannenbaum, and Sigurd Angenent, “Optimal mass transport for registration and warping”, International Journal of Computer Vision, 60(3), p. 225-240, 2004.\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":["Optimal mass transport ","warping ","deformable registration "],"authors":[{"name":"Shamir, Reuben R","email":"rubke@cs.huji.ac.il","affiliations":["The Hebrew University of Jerusaelm"],"corresponding":true}],"date_submitted":"2009-02-17 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