Title :
Multicolor image segmentation using Ambrosio-Tortorelli approximation
Author :
Asahi, Takeshi ; Ortega, Jaime H. ; Lecaros, Rodrigo
Author_Institution :
Centro de Modelamiento Matematico, Univ. de Chile, Santiago, Chile
Abstract :
Our research aims at image segmentation using the variational framework of Mumford and Shah, following an approximation proposed by Ambrosio and Tortorelli. This technique circumvents the use of parametric contours and implicit level-set techniques, where its solution may be regarded as a soft segmentation, with a number the levels or colors being 2N. On the other hand, the implementation was based on an finite difference discretization, where two - and four - color cases are described with their corresponding numerical results.
Keywords :
approximation theory; computational complexity; finite difference methods; image colour analysis; image segmentation; variational techniques; Ambrosio-Tortorelli approximation; finite difference discretization; implicit level-set technique; multicolor image segmentation; parametric contour; soft segmentation; variational framework; Approximation methods; Conferences; Image color analysis; Image segmentation; Level set; Neodymium; Mumford-Shah; Segmentation; de-noising; variational problems;
Conference_Titel :
Image Processing (ICIP), 2011 18th IEEE International Conference on
Conference_Location :
Brussels
Print_ISBN :
978-1-4577-1304-0
Electronic_ISBN :
1522-4880
DOI :
10.1109/ICIP.2011.6116146