PONE-D-24-37888Fast Surface Reconstruction Algorithm with Adaptive Step SizePLOS ONE

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Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: Yes

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2. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #2: Yes

Reviewer #3: N/A

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3. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: No

Reviewer #2: Yes

Reviewer #3: Yes

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4. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

Reviewer #2: No

Reviewer #3: Yes

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5. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: Title:- Fast Surface Reconstruction Algorithm with Adaptive Step Size

Reviewer:- In this study, authors have proposed adaptive method for step size selection in surface reconstruction algorithm. This article is interesting but needs to be revised by considering the following points.

1. There is some inconsistency in section list (e.g As per the last part of introduction section, Numerical examples section must be given number 5.Similarly conclusion part is on number 6). Moreover, needs to be revised for correcting grammatically and typo mistakes.

2. Suggest to add preliminaries about adaptive step size in basic section.

3. This article is based on adaptive step size, so needs to be add some recent articles relevant to adaptive step size in introduction section.

4. It would be better if you define comparison of various algorithms (Iterations & computational complexity) in the form of continuous graph.

5. - To facilitate reproducible research, if possible, I suggest that the authors release the related source codes on github.com, the website of the authors' research group, or a similar website. This could make a positive impact on the academic community.

6. Needs to be add future motivation in the last paragraph of conclusion.

Reviewer #2: In this paper, the authors propose and investigate a surface reconstruction algorithm with an adaptive step size to enhance the computational efficiency of their previous work on Anderson-accelerated implicit progressive iterative approximation (I-PIA). Specifically, the step size is adjusted based on the current residual: larger residuals suggest the need for larger step sizes, while smaller residuals permit smaller step sizes.

The findings presented are both new and intriguing, and I am confident in the rigor of the analysis and numerical experiments. However, a notable weakness of this paper is that it does not offer substantial new insights. If the "adaptive step size" innovation is deemed sufficient for PLOS ONE, I will endorse the acceptance of this paper for publication, contingent upon a thorough review of its formatting, including things like line indents and punctuation.

Reviewer #3: Fast Surface Reconstruction Algorithm with Adaptive Step Size

Dr. Chengzhi Liu

Summary

In this paper a surface reconstruction algorithm is proposed. It is an accelerated version of the I-PIA method of the author as given in Reference 1. The new part is an adaptation of the stepsize of the used Anderson Acceleration method in order to speed up the convergence. From various numerical experiments it follows that the new algorithm is faster than the original method.

Comment

After minor revision this manuscript is suitable for publication in PLOS ONE. Motivation for this recommendation is given below.

Remarks:

1. I miss a couple of references to the literature, please add these in the revised manuscript:

- please give a reference to the paper where the Anderson Acceleration method is proposed first:

D.G. Anderson, Iterative procedures for nonlinear integral equations, J. ACM 12 (1965) 547-560

- please give references to papers where variable Anderson is used:

D.G.M. Anderson, Comments on "Anderson acceleration, mixing and extrapolation", Numer. Algorithms 80 (1) (2019) 135-234

F.A. Potra, H. Engler, A characterization of the behavior of the Anderson acceleration on linear problems, linear Algebra Appl. 438 (3) (2013) 1002-1011

K. Chen and C. Vuik, Non-stationary Anderson acceleration with optimized damping Journal of Computational and Applied Mathematics, 451, 116077, 2024

2. 4 lines below equation (6): is the matrix B^TB non-singular? If yes please give a prove, if no how should singular systems be handled?

3. 3 lines below equation (9) the relation with an iterative methods is mentioned. I think that the Richardon iteration method is ment. If yes please give a reference, otherwise indicate which method is ment.

4. One line below equation (15): what happens if matrix Omega is not of full rank?

5. Typo: section Numerical Examples should be Section 5.

6. Which programming language is used for the experiments?

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Reviewer #1: Yes: Khurram shahzad, Shanghai university China. Email:- raokamran770@gmail.com

Reviewer #2: Yes: Kewang Chen

Reviewer #3: No

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Fast Surface Reconstruction Algorithm with Adaptive Step Size

PONE-D-24-37888R1

Dear Dr. Liu,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.

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Kind regards,

Xuebo Zhang, Ph.D.

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Reviewers' comments:

Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #1: All comments have been addressed

Reviewer #3: All comments have been addressed

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2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

Reviewer #3: Yes

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3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #3: N/A

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4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: Yes

Reviewer #3: Yes

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5. Is the manuscript presented in an intelligible fashion and written in standard English?

PLOS ONE does not copyedit accepted manuscripts, so the language in submitted articles must be clear, correct, and unambiguous. Any typographical or grammatical errors should be corrected at revision, so please note any specific errors here.

Reviewer #1: Yes

Reviewer #3: Yes

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6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: Suggest to Authors to publish code relevant to this manuscript on Github or any other scientific platform.

Reviewer #3: No additional remarks for the authors. All points I have raised are taken into account. In my opinion the paper can be publisded.

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7. PLOS authors have the option to publish the peer review history of their article (what does this mean?). If published, this will include your full peer review and any attached files.

If you choose “no”, your identity will remain anonymous but your review may still be made public.

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Reviewer #1: Yes: Khurram Shahzad, School of Communication and Information Engineering, Shanghai University, China.

Reviewer #3: Yes: Cornelis Vuik

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