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논문검색

Image Variational Decomposition Based on Dual Method

초록

영어

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.

목차

Abstract
 1. Introduction
 2. Our Proposed Mathematical Model
 3. Existence of Minimal Solutions
 4. Additional Improved Models
 5. Numerical Experiments
 6. Conclusions and Discussions
 Acknowledgements
 References

저자정보

  • Ruihua Liu School of Mathematics and Statistics, Chongqing University of Technology, Institute of Automation, Chinese Academy of Sciences
  • Ruizhi Jia School of Mathematics and Statistics, Chongqing University of Technology

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