Methods and systems for generating enhanced images using Euler's Elastica model

摘要

A process is proposed for using a degraded first image to generate a visually pleasing second image, which is a stationary point of an Euler's Elastica energy. The Euler's Elastica problem is converted into a well-designed constrained minimization which an Augmented Lagrangian method can be applied. The invention has applications to variational image denoising, repairing image inpainting, and image zooming. Certain embodiments of the invention have been found to be fast to converge and simple to implement.