Abstract: Systems and methods are provided for recognizing characters within a distorted image. According to a one aspect, a method for recognizing one or more characters within a distorted image includes rendering one or more imitation images, the imitation images including simulations of the distorted image, applying one or more distortion models to the imitation images, thereby generating distorted imitation images, comparing the distorted imitation images with the distorted image in order to compute similarities between the distorted imitation images and the distorted image, and identifying the characters based on the best similarity. According to other aspects, the systems and methods can be configured to provide recognition of other distorted data types and elements.

Abstract: Systems and methods are disclosed for enhancing digital signals. In one implementation, a digital signal that has undergone a non-linear distortion can be received. The non-linear distortion can be reformulated as one or more linear operators that yield a statistical connection between a first signal and a second signal and one or more convex constraints on the first signal and/or the second signal. A convex minimization problem can be formulated in view of the first signal, the second signal, and the one or more convex constraints. The digital signal can be processed to solve the convex minimization problem, thereby generating an enhanced digital signal.

Abstract: Systems and methods are provided for recognizing characters within a distorted image. According to a one aspect, a method for recognizing one or more characters within a distorted image includes rendering one or more imitation images, the imitation images including simulations of the distorted image, applying one or more distortion models to the imitation images, thereby generating distorted imitation images, comparing the distorted imitation images with the distorted image in order to compute similarities between the distorted imitation images and the distorted image, and identifying the characters based on the best similarity. According to other aspects, the systems and methods can be configured to provide recognition of other distorted data types and elements.