“…Curved surfaces are frequently employed to represent models in various industries such as automotive manufacturing, aerospace, and mold production. With the growing demands within the manufacturing sector, there is a pressing need to enhance the precision of numerical control (NC) machining to meet these requirements (Chen et al, 2023;Dat, Phong, and Phuc, 2022;Tunc et al, 2019;Yan et al, 2015;Lazoglu, Manav, and Murtezaoglu, 2009;Wang, Yu, and Liao, 2006). Machining errors due to tool deflection are an essential issue in the machining process (Changqing et al, 2020;Ghorbani and Movahhedy, 2019;Ma et al, 2018;Budak et al, 2004).…”