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dc.contributor.authorYou, Yu-La
dc.contributor.authorKaveh, Mos
dc.contributor.authorXu, Wen-Yuan
dc.contributor.authorTannenbaum, Allen R.
dc.date.accessioned2010-05-19T18:47:24Z
dc.date.available2010-05-19T18:47:24Z
dc.date.issued1994-11
dc.identifier.citationYu-Li You, M. Kaveh, Wen-Yuan Xu, and Allen Tannenbaum, "Analysis and design of anisotropic diffusion for image processing," Proceedings of the 1st IEEE Conference on Image Processing, 1994, Vol. 2, 497-501en_US
dc.identifier.isbn0-8186-6952-7
dc.identifier.urihttp://hdl.handle.net/1853/33080
dc.description©1994 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or distribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.en_US
dc.descriptionPresented at ICIP-94, the 1994 IEEE International Conference on Image Processing, 13-16 November 1994, Austin, TX
dc.descriptionDOI: 10.1109/ICIP.1994.413620
dc.description.abstractAnisotropic diffusion is posed as a process of minimizing an energy function. Its global convergence behavior is determined by the shape of the energy surface, and its local behavior is described by an orthogonal decomposition with the decomposition coefficients being the eigenvalues of the local energy function. A sufficient condition for its convergence to a global minimum is given and is identified to be the same as the condition previously proposed for the well-posedness of 1-D diffusions. Some behavior conjectures are made for anisotropic diffusions not satisfying the sufficient condition. Finally, some well-behaved anisotropic diffusions are proposed and simulation results are shown.en_US
dc.language.isoen_USen_US
dc.publisherGeorgia Institute of Technologyen_US
dc.subjectConvergence of numerical methodsen_US
dc.subjectDiffusionen_US
dc.subjectEigenvalues and eigenfunctionsen_US
dc.subjectImage processingen_US
dc.subjectMinimizationen_US
dc.subjectSmoothing methodsen_US
dc.titleAnalysis and design of anisotropic diffusion for image processingen_US
dc.typeProceedingsen_US
dc.contributor.corporatenameUniversity of Minnesota. Dept. of Electrical Engineering
dc.publisher.originalInstitute of Electrical and Electronics Engineers


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