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Nonlinear Diffusion Toolbox

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Nonlinear Diffusion Toolbox

by Frederico D'Almeida

 

10 Jul 2003 (Updated 26 Mar 2004)

Set of functions to perform nonlinear diffusion on images.

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Description

This toolbox has functions to perform nonlinear diffusion on images. This kind of image filtering is particularly useful for reducing noise and to simplify images for further segmentation. Much of these functions are based on Perona and Malick's work, and also on J. Weickert's papers. The fast AOS diffusion is implemented. There is also 3D diffusion functions, color image diffusion and Coherence-Enhancing diffusion

Acknowledgements
This submission has inspired the following:
Nonlinear Coupled Diffusion
MATLAB release MATLAB 6.5 (R13)
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Comments and Ratings (38)
03 Dec 2003 Mylene Farias

Real nice demos.

04 Dec 2003 Alessandro Tomasi

An excellent tool! It really helps to gain a better understanding of the processes involved. Fast execution, clear comments, useful diagrams, and working examples (demos) provided. What more do you want?

06 Dec 2003 Amin Charaniya

Very useful toolbox. Was wondering how much more work would it be to extend it to n-dim.

25 Mar 2004 Michael Bach

This toolbox saved me a couple of days, probably weeks.
It is highly appreciated!
Thanks

07 Apr 2004 Simon Robidas

Wonderful toolbox. Great demos, useful comments. I especially like the nldif2demo. Saved me so much time!

12 Apr 2004 ali iskurt

  Really wonderful,
 I was trying to implement nonlinear diffusion filters based on transactions when I have seen this nonlinear diffusion filters' code , I caught the way how to do it .

22 Apr 2004 KISSI Adelaïde

A god toolbox.

22 Apr 2004 KISSI Adelaïde

A good toolbox.

29 Apr 2004 lin pan

good

13 May 2004 Robert Schiessl

Good stuff. Implements fast, good algorithms for
nonlinear diffusion ... never saw something nearly as good!

14 Jun 2004 Fredrick Mauser

Excellent and fast implementation of latest NL diffusion schemes. Particularly impressed with Coherence enhancing algorithm. Uses the optimal AOS technique. Very impressive work. Thank you for the contribution!

01 Jul 2004 zhongchao shi

very valuable implementation of nonlinear diffusion filtering.

20 Feb 2005 Ramesh Sen

That was very helpful.

11 Mar 2005 Sharat Chikkerur

Just what I was looking for..Thanks!

01 Aug 2005 Francesco Brun

I may be wrong, but I think that in cedif.m at line 158 and 161 you have to divide by (alfa + eps) instead of (alfa). Anyway, you made a marvellous work. It would be great if you add Weickert's Edge Enhancing Anisotropic Diffusion too. I notice in documentation you put a reference to eedif.m but it's not included.

04 Nov 2005 François Aspert

Very nice toolbox that save me a lot of time. With great demos and clear explanations.

05 Dec 2005 Matthias Schabel

Very nice work - almost trivial to use the code for my application.

25 Apr 2006 Nat Anga

Great! Very well explained, very useful. Obtained very good results!!

24 May 2006 Chao Wang

Thanks for sharing.

16 Jun 2006 soheil kya  
15 Aug 2006 Viton Vitanis

Thanks for sharing!

06 Sep 2006 Changhua Wu

This toolkit is good. However I found a bug in cedif.m

I tried it on two images and each time it generates a divide-by-zero warning. I belive this two line cause the trouble:
line 158:
dd = ( c2_m_c1 .* s1_m_s2 )./(alfa);
line 161:
d12 = -(c2_m_c1).*s12./(alfa);

21 Mar 2007 dileep kumar

Excellent work.it was very useful for bigginer like me.All lines are well commented.
Thanks alot

07 Apr 2007 jianfei ge

Good!Thank you!!!

16 Jul 2007 rasoul khayati

Your toolbox is good. But, let me know, how do you calculate Cm constant in nldif.m? your comment in head of this file is not sufficient. Please mail me any documentation about Cm. computation. thanks.

09 Aug 2007 Zhiming Wang

Excellent work. Thank you!

29 Jan 2008 Chris Coello

Really useful toolbox, working perfectly and intelligently coded. Thanks, a lot of time saved !!

21 Mar 2008 kavita Jagadal

good

30 Apr 2008 NEgar Sani

no comments

28 Aug 2008 tg tg

good

11 Sep 2008 Solaree Shi

It gave a great help in image segmentation for my further research.

05 May 2009 Anil N  
11 Aug 2010 Sun SHENG

It is really great helpful to those who are doing PDE image process. The author is also a good gentlman . He had helped me many times about the toolbox's function.

27 Sep 2010 mops zaki

there is bug in almost all file for example
Input argument "x" is undefined.
in fileaosiso at 16
y = zeros(size(x));

 Input argument "x" is undefined.
in file aosiso1 at 16
y = zeros(size(x));
i cant under stand why these are are coming as im using the higher version of matlab. R14

18 Oct 2010 Xiuli À=

nice work!
but there is a tiny question, the function name of 3d nonlinear diffusion should be nldif3, not nldif, this maybe a typo.

22 Dec 2010 Aadarsh Malviya

theres some problem in linear diffusion. I am getting colored images in nonlinear.

How can i reduce the diffusion and I am unable to undrstand the inputs takn can any one help me please aadarshmalviya@gmail.com

28 Jan 2011 Ding Yuan

Hi Frederico,

I am translating your matlab code in to IDL, I find that in the convolution step ('gsderiv.m'), the gaussian kernel is not normalized. It is done in 1D 'kernel=kernel/sum(kernel)', however, it is important that you do it like this:
kernel_grid=meshgrid(kernel_index,kernel_index)
kernel = exp(-.5*(kernel_grid./sigma).^2)
kernel=kernel/sum(kernel)

then you do convolution

 

15 Nov 2011 ray li

good,thanks.

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Updates
11 Aug 2003

File updating due to bug reported by users

12 Aug 2003

File updating due to bug reported by users

26 Mar 2004

File updating. Include 3D e 1D filtering and some other improvements

Tag Activity for this File
Tag Applied By Date/Time
filtering Frederico D'Almeida 22 Oct 2008 07:04:40
nonlinear diffusion Frederico D'Almeida 22 Oct 2008 07:04:40
anisotropic diffusion Frederico D'Almeida 22 Oct 2008 07:04:40
coherenceenhancing diffus Frederico D'Almeida 22 Oct 2008 07:04:40
nonlinear diffusion mops zaki 27 Sep 2010 13:22:15
coherenceenhancing diffus XiaoFeixia 06 Jun 2011 00:56:03
anisotropic diffusion kuang 21 Jul 2011 10:28:59
coherenceenhancing diffus xiuhong 29 Mar 2012 03:01:30

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