Noise removal using smoothed normals and surface fitting.

Lysaker, Marius; Osher, Stanley; Tai, Xue-Cheng · IEEE Trans Image Process · 2004

other · Level V

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Abstract

In this work, we use partial differential equation techniques to remove noise from digital images. The removal is done in two steps. We first use a total-variation filter to smooth the normal vectors of the level curves of a noise image. After this, we try to find a surface to fit the smoothed normal vectors. For each of these two stages, the problem is reduced to a nonlinear partial differential equation. Finite difference schemes are used to solve these equations. A broad range of numerical examples are given in the paper.

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