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Noise removal using smoothed normals and surface fitting

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3 Author(s)
Lysaker, M. ; Dept. of Sci. Comput., Simula Res. Lab. AS, Norway ; Osher, S. ; Xue-Cheng Tai

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.

Published in:

Image Processing, IEEE Transactions on  (Volume:13 ,  Issue: 10 )