Title :
Noise removal using smoothed normals and surface fitting
Author :
Lysaker, Marius ; Osher, Stanley ; Tai, Xue-Cheng
Author_Institution :
Dept. of Sci. Comput., Simula Res. Lab. AS, Norway
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.
Keywords :
finite difference methods; image denoising; partial differential equations; smoothing methods; surface fitting; digital images; finite difference scheme; noise removal; partial differential equation techniques; smoothed normals; surface fitting; total-variation filter; Digital images; Filtering; Low pass filters; Mathematics; Noise level; Nonlinear equations; Partial differential equations; Pixel; Statistical analysis; Surface fitting; Algorithms; Cluster Analysis; Computer Simulation; Image Enhancement; Image Interpretation, Computer-Assisted; Imaging, Three-Dimensional; Information Storage and Retrieval; Models, Statistical; Numerical Analysis, Computer-Assisted; Pattern Recognition, Automated; Reproducibility of Results; Sensitivity and Specificity; Signal Processing, Computer-Assisted; Stochastic Processes; Subtraction Technique;
Journal_Title :
Image Processing, IEEE Transactions on
DOI :
10.1109/TIP.2004.834662
