Noise removal using smoothed normals and surface fitting
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 surfac...
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sg-ntu-dr.10356-915982023-02-28T19:37:37Z Noise removal using smoothed normals and surface fitting Lysaker, Marius Osher, Stanley Tai, Xue Cheng School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis DRNTU::Engineering::Computer science and engineering::Computing methodologies::Image processing and computer vision 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 version 2009-05-06T08:31:56Z 2019-12-06T18:08:39Z 2009-05-06T08:31:56Z 2019-12-06T18:08:39Z 2004 2004 Journal Article Lysaker, M., Osher, S., & Tai, X. C., (2004). Noise removal using smoothed normals and surface fitting. IEEE Transaction on Image Processing, 13(10), 1345-1357. 1057-7149 https://hdl.handle.net/10356/91598 http://hdl.handle.net/10220/4598 http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:EVII&id=doi:10.1109/TIP.2004.834662&genre=&isbn=&issn=10577149&date=2004&volume=13&issue=10&spage=1345&epage=1357&aulast=Lysaker&aufirst=%20Marius&auinit=&title=IEEE%20Transactions%20on%20Image%20Processing&atitle=Noise%20removal%20using%20smoothed%20normals%20and%20surface%20fitting en IEEE Transaction on Image Processing. IEEE Transection on image processing @copyright 2004 IEEE. The journal's website is located at http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=1331446. 13 p. application/pdf |
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DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis DRNTU::Engineering::Computer science and engineering::Computing methodologies::Image processing and computer vision Lysaker, Marius Osher, Stanley Tai, Xue Cheng Noise removal using smoothed normals and surface fitting |
description |
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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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Lysaker, Marius Osher, Stanley Tai, Xue Cheng |
format |
Article |
author |
Lysaker, Marius Osher, Stanley Tai, Xue Cheng |
author_sort |
Lysaker, Marius |
title |
Noise removal using smoothed normals and surface fitting |
title_short |
Noise removal using smoothed normals and surface fitting |
title_full |
Noise removal using smoothed normals and surface fitting |
title_fullStr |
Noise removal using smoothed normals and surface fitting |
title_full_unstemmed |
Noise removal using smoothed normals and surface fitting |
title_sort |
noise removal using smoothed normals and surface fitting |
publishDate |
2009 |
url |
https://hdl.handle.net/10356/91598 http://hdl.handle.net/10220/4598 http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:EVII&id=doi:10.1109/TIP.2004.834662&genre=&isbn=&issn=10577149&date=2004&volume=13&issue=10&spage=1345&epage=1357&aulast=Lysaker&aufirst=%20Marius&auinit=&title=IEEE%20Transactions%20on%20Image%20Processing&atitle=Noise%20removal%20using%20smoothed%20normals%20and%20surface%20fitting |
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