Variational principles in image processing and the regularization of orientation fields

Simple item page
dc.coverageDOI: 10.1142/S0218127409024426
dc.creatorCisternas, Jaime
dc.creatorGÁlvez, Marcelo
dc.creatorStieltjes, Bram
dc.creatorLaun, Frederik B.
dc.date2009
dc.date.accessioned05-01-2026 18:11
dc.date.available05-01-2026 18:11
dc.description<p>Variational principles and partial differential equations have proved to be fundamental elements in the mathematical modeling of extended systems in physics and engineering. Of particular interest are the equations that arise from a free energy functional. Recently variational principles have begun to be used in Image Processing to perform basic tasks such as denoising, debluring, etc. Great improvements can be achieved by selecting the most appropriate form for the functional. In this article we show how these ideas can be applied not just to scalar fields (i.e. grayscale images) but also to curved manifolds such as the space of orientations. This work is motivated by the denoising of images acquired with Magnetic Resonance scanners using diffusion-sensitized magnetic gradients.</p>eng
dc.descriptionVariational principles and partial differential equations have proved to be fundamental elements in the mathematical modeling of extended systems in physics and engineering. Of particular interest are the equations that arise from a free energy functional. Recently variational principles have begun to be used in Image Processing to perform basic tasks such as denoising, debluring, etc. Great improvements can be achieved by selecting the most appropriate form for the functional.<br/>In this article we show how these ideas can be applied not just to scalar fields (i.e. grayscale images) but also to curved manifolds such as the space of orientations. This work is motivated by the denoising of images acquired with Magnetic Resonance scanners using diffusion-sensitized magnetic gradients.spa
dc.identifierhttps://investigadores.uandes.cl/en/publications/5781a45b-28a1-4d84-9745-3350d8ddbb2a
dc.languageeng
dc.rightsinfo:eu-repo/semantics/openAccess
dc.sourcevol.19 (2009) nr.8 p.2705-2716
dc.subjectAnisotropic diffusion
dc.subjectImage processing
dc.subjectMagnetic resonance imaging
dc.subjectOrientation field
dc.subjectVariational principles
dc.subjectVariational principles
dc.subjectImage processing
dc.subjectOrientation field
dc.subjectAnisotropic diffusion
dc.subjectMagnetic resonance imaging
dc.titleVariational principles in image processing and the regularization of orientation fieldseng
dc.typeConference articleeng
dc.typeArtículo de la conferenciaspa
Files
Collections
Investigación Facultad de Ingeniería y Ciencias Aplicadas