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dc.contributor.advisorRodríguez Valderrama, Paúl Antonio
dc.contributor.authorRojas Gómez, Renán Alfredoes_ES
dc.description.abstractImage restoration consists in recovering a high quality image estimate based only on observations. This is considered an ill-posed inverse problem, which implies non-unique unstable solutions. Regularization methods allow the introduction of constraints in such problems and assure a stable and unique solution. One of these methods is Total Variation, which has been broadly applied in signal processing tasks such as image denoising, image deconvolution, and image inpainting for multiple noise scenarios. Total Variation features a regularization parameter which defines the solution regularization impact, a crucial step towards its high quality level. Therefore, an optimal selection of the regularization parameter is required. Furthermore, while the classic Total Variation applies its constraint to the entire image, there are multiple scenarios in which this approach is not the most adequate. Defining different regularization levels to different image elements benefits such cases. In this work, an optimal regularization parameter selection framework for Total Variation image restoration is proposed. It covers two noise scenarios: Impulse noise and Impulse over Gaussian Additive noise. A broad study of the state of the art, which covers noise estimation algorithms, risk estimation methods, and Total Variation numerical solutions, is included. In order to approach the optimal parameter estimation problem, several adaptations are proposed in order to create a local-fashioned regularization which requires no a-priori information about the noise level. Quality and performance results, which include the work covered in two recently published articles, show the effectivity of the proposed regularization parameter selection and a great improvement over the global regularization framework, which attains a high quality reconstruction comparable with the state of the art algorithms.es_ES
dc.publisherPontificia Universidad Católica del Perúes_ES
dc.rightsAtribución-NoComercial-SinDerivadas 2.5 Perú*
dc.subjectProcesamiento de imágenes digitaleses_ES
dc.subjectReconocimiento de imágeneses_ES
dc.titleAutomatic regularization parameter selection for the total variation mixed noise image restoration frameworkes_ES
dc.typeinfo:eu-repo/semantics/masterThesises_ESíster en Procesamiento de señales e imágenes digitaleses_ESíaes_ES Universidad Católica del Perú. Escuela de Posgradoes_ES de señales e imágenes digitaleses_ES
dc.type.otherTesis de maestría

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Atribución-NoComercial-SinDerivadas 2.5 Perú
Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 2.5 Perú