Abstract
Partial differential equation (PDE) and wavelet shrinkage are two kinds of feature preserving regularized image recovery methods. In this paper, the equivalence of the two methods is discussed according to function space theory, and a new hybrid model combining adaptive PDE and wavelet shrinkage is proposed. In the new hybrid model, we use adaptive PDE with edge enhancing property. The regular coefficient of adaptive model is locally adjusted according to directional derivatives of image. Compared with traditional smoothing models, the new hybrid model has no Gibbs phenomena, smoothes image without staircasing, and enhances edge to preserve feature and texture of image. Both theoretical analysis and experiments have verified the validity o f the new model proposed in this paper.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
