Tofighi, MohammadKöse, K.Çetin, A. Enis2016-02-082016-02-082014http://hdl.handle.net/11693/28663Date of Conference: 27-30 October 2014Conference Name: International Conference on Image Processing, IEEE 2014A 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, ℓ1, ℓ2, and entropic cost functions.1EnglishDenoisingEpigraph of a cost functionProjection onto convex setsImage denoisingIterative methodsOrthogonal functionsConvex cost functionOrthogonal projectionConference Paper10.1109/ICIP.2014.7025548