Denoising using projections onto the epigraph set of convex cost functions Conference Paper
| Authors: | Tofighi, M.; Kose, K.; Cetin, A. E. |
| Title: | Denoising using projections onto the epigraph set of convex cost functions |
| Conference Title: | 2014 IEEE International Conference on Image Processing, ICIP 2014 |
| Abstract: | A new denoising algorithm based on orthogonal projections onto the epigraph set of a convex cost function is presented. In this algorithm, the dimension of the minimization problem is lifted by one and feasibility sets corresponding to the cost function using the epigraph concept are defined. As the utilized cost function is a convex function in RN, the corresponding epigraph set is also a convex set in RN+1. The denoising algorithm starts with an arbitrary initial estimate in RN+1. At each step of the iterative denoising, an orthogonal projection is performed onto one of the constraint sets associated with the cost function in a sequential manner. The method provides globally optimal solutions for total-variation, ℓ<inf>1</inf>, ℓ<inf>2</inf>, and entropic cost functions.1 © 2014 IEEE. |
| Keywords: | denoising; epigraph of a cost function; projection onto convex sets; total variation |
| Journal Title | International Conference on Image Processing. Proceedings |
| Conference Dates: | 2014 Oct 27-30 |
| Conference Location: | Paris, France |
| ISBN: | 1522-4880 |
| Publisher: | IEEE |
| Date Published: | 2014-01-01 |
| Start Page: | 2709 |
| End Page: | 2713 |
| Language: | English |
| DOI: | 10.1109/icip.2014.7025548 |
| PROVIDER: | scopus |
| DOI/URL: | |
| Notes: | IEEE Int. Conf. Image Process., ICIP -- Conference code: 112153 -- Export Date: 2 July 2015 -- 27 October 2014 through 30 October 2014 -- Source: Scopus |
