A Study on the Coarse-to-Fine Error Decomposition and Compensation Method of Free-Form Surface Machining

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

The second paragraph of Introduction may be separated into 2 parts such that problem statement of motivation and literature review. 

According to (3), the optimization problem is conducted within multivariable aspect. That would be helpful if author can state the discussion especially with Lagrange function (4) when the constrain is omitted with the Lagrange term within the aspect of this application.

By the leaning laws (5-7), is the solution of original problem (3) be guaranteed? How advantage of this comparing with some approached such the ADPs?  Authors may consider remaking this point in accordance to the wavelet thresholding scheme also. 

\omega in (5) presents the frequency parameter is it relevant to the \omega in (17) which is stand for the wavelet coefficient? 

Furthermore the parameter \lambda may play an importance role. How or criteria that authors come up with the section in (18) also with any effect with \sigma?

Utilizing percentage as the uniform is very suggested such that in the conclusion authors may mention the decreasing of maximum absolute error and mean machine error in percentage also. 

 

  

 

 

 

 

Adding recent references (2023-2024) may support the active in this research. 

Comments on the Quality of English Language

N/A

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

There is no logical mathematical transition from expression (7) to expression (8).

In general, expression (1) is not consistent with expression (8).

The conclusion of line 197 “«e is the convergence parameter, generally taken as − ´ 7 - ¹⁰  .” has no analytical explanation.

Figure 1. Transitions should be represented as blocks rather than elms.

Figure 3 and Figure 8 are similar in their graphical interpretation. The similarity is not disclosed by the authors.

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

Comments and Suggestions for Authors

Authors already considered all comment raised by the reviewer. 

Comments on the Quality of English Language

N/A