39 citations · 237 across the 48 of their papers we have counts for
6 papers · 1 filter
Convergence Theorems for the Non-Local Means Filter
Qiyu Jin, Ion Grama, Quansheng Liu
In this paper, we establish convergence theorems for the Non-Local Means Filter in removing the additive Gaussian noise. We employ the techniques of "Oracle" estimation to determin…
Cramér large deviation expansions for martingales under Bernstein's condition
Xiequan Fan, Ion Grama, Quansheng Liu
By using the conjugate distribution technique of Cramér, we obtain some expansions of large deviation probabilities for martingales with differences satisfying the conditional Bern…
Sharp large deviation results for sums of independent random variables
Xiequan Fan, Ion Grama, Quansheng Liu
We show sharp bounds for probabilities of large deviations for sums of independent random variables satisfying Bernstein's condition. One such bound is very close to the tail of th…
Sharp large deviation probabilities for sums of independent bounded random variables
Xiequan Fan, Ion Grama, Quansheng Liu
We obtain some optimal inequalities on tail probabilities for sums of independent bounded random variables. Our main result completes an upper bound on tail probabilities due to Ta…
Optimal Weights Mixed Filter for Removing Mixture of Gaussian and Impulse Noises
Qiyu Jin, Ion Grama, Quansheng Liu
According to the character of Gaussian, we modify the Rank-Ordered Absolute Differences (ROAD) to Rank-Ordered Absolute Differences of mixture of Gaussian and impulse noises (ROADG…
A New Poisson Noise Filter based on Weights Optimization
Qiyu Jin, Ion Grama, Quansheng Liu
We propose a new image denoising algorithm when the data is contaminated by a Poisson noise. As in the Non-Local Means filter, the proposed algorithm is based on a weighted linear…