Restauración digital de imágenes mediante ecuaciones diferenciales parciales

Inpainting, art of improving the image quality, has achieved great development in recent years, reaching a high level of popularity after the restoration of images sent by the Hubble telescope, through mathematical methods and computational tools. However, the images are not always totally affected,...

Full description

Autores:
Triana, Juan Gabriel
Romero, Liliana Constanza
Roldán, Diego Gerardo
Tipo de recurso:
Article of journal
Fecha de publicación:
2013
Institución:
Universidad de Ciencias Aplicadas y Ambientales U.D.C.A
Repositorio:
Repositorio Institucional UDCA
Idioma:
spa
OAI Identifier:
oai:repository.udca.edu.co:11158/1780
Acceso en línea:
https://revistas.udca.edu.co/index.php/ruadc/article/view/925
Palabra clave:
Análisis numérico
Procesamiento de imágenes
Ecuación del calor
Restauración
Ilustraciones
Rights
openAccess
License
Derechos Reservados - Universidad de Ciencias Aplicadas y Ambientales
Description
Summary:Inpainting, art of improving the image quality, has achieved great development in recent years, reaching a high level of popularity after the restoration of images sent by the Hubble telescope, through mathematical methods and computational tools. However, the images are not always totally affected, suffering some loss of information in some areas, others simply are affected by the passage of time, so it is necessary to establish techniques to restore images in which the damage is not reversible using a filter applied to the entire image. This study established a method which allows to detect the damaged regions of the image and to perform a restoration process on the damaged regions, based on partial differential equations, thus achieving the construction of a recovered image. The method proposed in this paper could be applied to the restoration of grayscale and color images and even of artwork.