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Ms. Ref. No.:  SIGPRO-D-19-00262R1
Title: Two-paths hybrid algorithm for segmenting image of unequal cluster sizes based on chaos optimization and improved fuzzy c-means
Signal Processing

Dear Dr. zhu,

Reviewers' comments on your work have now been received. You will see that Reviewer #2 has some critical concerns about the correctness of some equations and is advising against publication of your work. Therefore I must reject it.

For your guidance, I append the reviewers' comments below.

Thank you for giving us the opportunity to consider your work.

Yours sincerely,

Lu¨ªs Ducla Soares, PhD
Handling Editor
Signal Processing

********************************************************





Reviewers' comments:


Reviewer #1: For most of the comments previously,the author did rethink many aspects of them and have made a response.
1.It has been made an appropriate deletion of section 2 ("Background works". It is more clear to see related works.
2.The author made a simple explanation on the difference among those four chaotic equations. The author also made further
explanations in the following part.
3.The author have re-created the parameter list in Table 3, and made a detailed explanation on it. In some extant, it is explained why those parameters were chosen.
4.After the author's explanation, the ground truth images of the NDT images are available to get now.
5.The word "Evolutionary computation" now is more suitable than "Artificial intelligence".

In general, the paper re-submitted is better than original version.



Reviewer #2: I'm glad to see that this manuscript has been improved extensively and majority of my concerns have been responded reasonably. However, I still have several major issues disclosed below:

Major comments:

1. The authors have showed the deduced process of formula (20), from which I find something wrong. I cannot get formula (16) according to my analysis when taking the partial derivative of L with respect to uij. Perhaps they made a confusion about subscripts i and j in uij and L. Try to use different subscripts rather than i and j, and re-deduce the minimization process of formula (15).

2. As mentioned above, their experimental results are no longer convincing. However, I still want to make some comments on results of syn1 and syn2. These two images are perhaps more suitable to test the robustness to noises of one algorithm.

Minor comments:

In Tab 4 and 5, maximum values of a merit should be written in special format (eg. bold type) to facilitate readers.


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