Image Denoising Methods. A New Nonlocal Principle

471 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints (2012, background): “The operator L and its generalizations arise in many applications such as image analyses [19, 32, 33, 39], machine learning [47], nonlocal Dirichlet forms [5, Sec.”
A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations (2015, background): “s in which diﬀerent length scales are involved. Anomalous diﬀusion phenomena are ubiquitous in nature [29, 35]; among the several applications of these nonlocal models let us mention image processing [8, 22, 24, 32], ﬁnance [11, 13], electromagnetic ﬂuids [34], peridynamics [42] and porous media ﬂow”
Identification of the Diffusion Parameter in Nonlocal Steady Diffusion Problems (2013, methodology): “Among those applications we have image analyses [14, 24, 25, 32], machine learning [36], nonlocal Dirichlet forms [6], kinetic equations [8, 31], phase transitions [11, 23], and nonlocal heat conduction [12].”