Abstract
We propose a novel fourth order dual method for the minimization of the non-smooth semi-norm ∥Δ∥1 when in amalgamation with a new staircase reducing texture decomposition model of image processing. The proposed model incorporating this high order energy is a variant of the Chambolle Lions denoising model that additionally utilizes a negative Sobolev norm. We claim that the dual method is faster and more stable than the current gradient descent time marching algorithms often used to minimize such energies. Moreover, a proof of convergence of the proposed method, in conjunction with the new model, will be provided. Lastly, we provide guidelines on how the new energy and proposed framework can be naturally incorporated into many popular texture extraction and restoration models of image processing.
Original language | English (US) |
---|---|
Title of host publication | 2010 IEEE International Conference on Image Processing, ICIP 2010 - Proceedings |
Pages | 4137-4140 |
Number of pages | 4 |
DOIs | |
State | Published - Dec 1 2010 |
Externally published | Yes |
Event | 2010 17th IEEE International Conference on Image Processing, ICIP 2010 - Hong Kong, Hong Kong Duration: Sep 26 2010 → Sep 29 2010 |
Conference
Conference | 2010 17th IEEE International Conference on Image Processing, ICIP 2010 |
---|---|
Country/Territory | Hong Kong |
City | Hong Kong |
Period | 09/26/10 → 09/29/10 |
Keywords
- Dual methods
- Meyer norms
- Staircase reduction
- Texture removal
- Total variation
ASJC Scopus subject areas
- Software
- Computer Vision and Pattern Recognition
- Signal Processing