Review Reports - Solution of Spatial Transformation Relationship of Similar Ruled Surfaces Based on Registration of Divided Regions

Round 1

Reviewer 1 Report

The main advantage of the algorithm reported in this paper was focused on the geometric transformation relationship of the complex similar surfaces such as local sudden deformation or curvature changes. However, the demonstration of the algorithm on a blade part in this paper as shown in Figure 4 and Figure 5 has no such features. Therefore, it’s difficult to assess the ability and performance of the algorithm to solve the problems in this paper . I would suggest that authors to take another example with such typical features. My other questions and suggestions are listed below:

1. Line 194, Step 5, more details should be given on how the boundary points were connected, by direct straight line or fitted curve?

2. Figure 4, What does the red and blue colour represent? What was the size of the blade? It would be useful to show a picture of the actual blade so the readers could understand better the issues the paper was to address.

3. Figure 5, What is the size of the blade? What is the meshing size in (b)? How the region was divided from (a) to (b)? It’s difficult to see how was the meshing lines in (b) was generated from the boundary points in (a).

4. Figure 8,(a) registration time of the two algorithms? RMSE?

5. How RMS and the registration time was calculated in Table 1?

6. English proofreading is needed.

Author Response

Dear Editor, Dear reviewers

Thank you for your letter dated October 10. We were pleased to know that our work was rated as potentially acceptable for publication in Machines, subject to adequate revision. We thank the reviewers for the time and effort that they have put into reviewing the previous version of the manuscript. Their suggestions have enabled us to improve our work. Based on the instructions provided in your letter, we uploaded the file of the revised manuscript. Accordingly, we have uploaded a copy of the original manuscript with all the changes highlighted by using the track changes mode in MS Word.

Appended to this letter is our point-by-point response to the comments raised by the reviewers. The comments are reproduced and our responses are given directly afterward in a different color (red).

We would like also to thank you for allowing us to resubmit a revised copy of the manuscript.

We hope that the revised manuscript is accepted for publication in the Machines.

Sincerely,

Dr. Han Feiyan

Xi'an University of Science and Technology

Email: hanfeiyan@126.com

Please see the attachment for a copy of the original

Author Response File: Author Response.pdf

Reviewer 2 Report

This paper develops a new method for solving the spatial transformation relationship of similar ruled surfaces. The method is based on registration of divided regions.

Algorithms can solve for the geometric transformation relationship between similar surfaces with flexible transformations involving local deformation or curvature change. The main contributions are nicely summarized at the end of the paper on p. 12.

The research presented here appears to be somewhat novel and is contrasted with prior approaches in the introduction. Verification of accuracy and efficiency of the method is shown for the sample application, programmed in MATLAB software.

Some revisions are suggested to improve the paper:

[1] The application is for a generic "ruled blade". Please explain how this blade is used in the machining process? Is the blade a cutting tool? Is it a turbine blade? This is very unclear to the reader.

[2] The coordinate systems used in the paper all seem to be locally Cartesian, that is, 3 mutually orthogonal unit vectors. General curvilinear coordinate systems need not have orthogonal basis vectors, and these basis vectors need not be of unit length. This should be explained in the paper.

[3] The paper has numerous problems with grammar and punctation. Many sentences end incorrectly with commas rather than periods, and capitalization of words is sporadic and inconsistent. Please correct these issues.

[4] Step 1 in the algorithms should be removed: "Given two similar surfaces P and P'".

This is not really a "step" because nothing is being done, but instead is the initial condition.

[5] Text in legends and axis labels of Fig. 8 should be enlarged. It is too small to read without extreme magnification.