期刊名称：International Journal of Signal Processing, Image Processing and Pattern Recognition
印刷版ISSN：2005-4254
出版年度：2013
卷号：6
期号：1
出版社：SERSC
摘要：In the paper, we firstly recommend a new variational model for image decomposition into cartoon and texture or noise by introducing a new function in Sobolev space, in order to overcome the inconsistency between the theoretical model and numerical simulation. Secondly, we prove the existence of minimal solutions of the improved ROF energy functional. Subsequently, we also introduce two additional improved models in the same way. Finally, we show some numerical experiments of our improved ROF models, and correspondingly compare them with those of the ROF model, VO model and TV- 1 H model. The results show that our models work well.
