Research on O-ring Dimension Measurement Algorithm Based on Cubic Spline Interpolation

Round 1

Reviewer 1 Report

Review for
"Research On O-ring Dimension Measurement Algorithm Based
On Cubic Spline Interpolation"
by Hu Haibing, Xipeng Zheng, Jiajie Yin and Yueyan Wang

The article deals with the use of cubic splines interpolation to get
accurate measurements for finding the center and the radii of two concentric 
circles. Numerical results show that the approach is valuable. 

I did not understand the first part, as the description lacks of precise mathematical 
definitions; I think that article needs to be translated into comprehensible 
mathematical text.
Concerning the use of cubic splines, the boundary conditions should be discussed and 
specified (in the code, we see that it is the use of csape of matlab). Also conditions for existence/uniqueness of a point where the 
second derivative of the cubic splines should be given/studied in detail
(in the code, we see that it is the use of solve in matlab).
I wonder if more or less than 7 points give better/worser results.

Author Response

Dear Reviewer：

    Thank you for looking at my paper and giving me your comments. The following is a response to your comment.

with my best wishes,                                                     Zheng xipeng

Author Response File: Author Response.docx

Reviewer 2 Report

The study deals with developing an algorithm that aids the determination of sealing quality of car engine O-rings, which is very crucial to the performance of such engines.

The article provides good background, especially the applied theories.

The article was well-structured and results clearly described. Potential areas of improvement could be for the labellings in Figure 1 to be improved. The use of "yellow" font isn't quite ideal. 

Also, could the authors provide some additional information/clarity on how the number of samples were determined for the experimental simulations and precise approaches for scaling these up or down if different severities were to be simulated in the future.

Author Response

Dear Reviewer：

    Thank you for looking at my paper and giving me your comments. The following is a response to your comment.

with my best wishes,                                                     Xipeng Zheng

Author Response File: Author Response.docx

Round 2

Reviewer 1 Report

I thank the authors for the revision. I have understood the part concerning the cubic splines and think it is revelant; I thank in particular for the graphics in the cover letter, which has helped me the understanding.

Suggestion: add such graphics in the paper; note also that the second derivative can be zero at several points; I understand that we should use the value where the gradient is minimum/maximum (?); this is however not clearly told

 

Author Response

Dear Reviewer：

Thank you for your reply and recognition of my thesis. The following is my reply to your comments.

with my best wishes, Xipeng Zheng

Author Response File: Author Response.docx