fuzzy mathematical morphology on images

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I need guide on applying fuzzy mathematical morphology on images.

Fuzzy Mathematical Morphology use concepts of fuzzy set theory. I am trying to explore Fuzzy MM approach in image processing. The values of a fuzzy set should be interpreted as degrees of membership and not as pixel values.

Fuzzy image processing has three main stages: Image fuzzification, modification of membership values, and image defuzzification.
Reference: Fuzzy Mathematical Morphology approach in Image Processing
The fuzzification and defuzzification steps are due to the fact that we do not possess fuzzy hardware. Therefore, the coding of image data (fuzzification) and decoding of the results (defuzzification) are steps that make possible to process images with fuzzy techniques. After the image data are transformed from gray-level plane to the membership plane (fuzzification), and then I want to apply dilation and erosion.

The Deﬁnition [De Baets, 1997] of fuzzy dilation and fuzzy erosion of A by B (Structuring Element)are the gray-scale images can be found in (page 6)

Opening and Closing Operators in Fuzzy Morphology Using Conjunctive Uninorms by M. Gonz´alez

I am trying to do Fuzzy MM dilation and erosion in gray scale images by using Matlab image processing toolbox. But confused how to do it? I want to apply [De Baets, 1997] definition in gray scale image.

Can you please make it more clear the idea for me? I am new in this area.

Thanks for your time and cooperation.

Regards,
Kazi

Posted 10-Mar-12 17:20pm

Kazi Mostafa

Updated 11-Mar-12 21:31pm

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Sergey Alexandrovich Kryukov 10-Mar-12 23:52pm

Pretty big topic. This is not a question. What is your project? What kind of help do you expect? What is done so far? Are you familiar with fuzzy-set mathematics?
--SA

Kazi Mostafa 12-Mar-12 2:43am

Dear SA,

Thanks for comments.

Fuzzy Mathematical Morphology use concepts of fuzzy set theory. I am trying to explore Fuzzy MM approach in image processing. The values of a fuzzy set should be interpreted as degrees of membership and not as pixel values.

The Deﬁnition [De Baets, 1997] of fuzzy dilation and fuzzy erosion of A by B (Structuring Element)are the gray-scale images can be found in

Opening and Closing Operators in Fuzzy Morphology Using Conjunctive Uninorms by M. Gonz´alez

[ Please Click here ]

I am trying to do Fuzzy MM dilation and erosion in gray scale images by using Matlab image processing toolbox. But confused how to do it? I want to apply [De Baets, 1997] definition in gray scale image.

Thanks for your time and cooperation.

Regards,
Kazi

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Aniket Yadav · Answer 1 · 2012-03-11T21:02:00

Solution 1

check this link

http://www.mathworks.in/help/toolbox/images/f18-12508.html[^]

Posted 11-Mar-12 21:02pm

Aniket Yadav

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Kazi Mostafa 12-Mar-12 3:25am

Thanks for solution. Its very useful to understand MM by using Matlab image processing toolbox.
But my question was about fuzzy mathematical morphology. Fuzzy image processing has three main stages: Image fuzzification, modification of membership values, and image defuzzification. The fuzzification and defuzzification steps are due to the fact that we do not possess fuzzy hardware. Therefore, the coding of image data (fuzzification) and decoding of the results (defuzzification) are steps that make possible to process images with fuzzy techniques. After the image data are transformed from gray-level plane to the membership plane (fuzzification), and then I want to apply dilation and erosion.
Can you please make it more clear the idea for me? I am new in this area. Thanks a lot for your solution.

Aniket Yadav 12-Mar-12 7:45am

Sorry Boss, I am totally unaware of this topic... But still i searched and found the above link which i thought will be useful to you.
The search criteria which i applied was "after fuzzification apply dilation and erosion".

You can use it and find the material useful to you

Kazi Mostafa 12-Mar-12 23:39pm

Thanks a lot. Now I am trying to use your keywords to search. But thanks again for your time and some nice feedback.