In industries, precise measurement of different form errors is critical and challenging for stringent geometric and dimensional control in manufactured part. These form errors have significant influence on the functional performance of an industrial product that arises due the inherent invariability in measurement techniques and manufacturing devices. Several research have been conducted for evaluation of important form errors such as straightness, flatness, circularity, cylindricity and sphericity using different computational methods. The need of computational methods is justified as they minimize calculation time, human errors and provides improved tolerance values in assessment of form errors. In the same context, this paper presents a comprehensive review and discussion on different computational techniques for distinctive form error evaluation in engineering components. The present work mainly focused on aspects of mathematical formulations and the computational techniques i.e., traditional methods and advanced optimization algorithms, employed for precised evaluation of these errors. Based on the detailed review, several future research directions were described. Finally, last section presents concluding remarks on computational methods in modelling and precise evaluation of form error in manufactured components.

在工业中，不同形状误差的精确测量对于制造零件的严格几何和尺寸控制至关重要且具有挑战性。由于测量技术和制造设备的固有不变性，这些形状误差对工业产品的功能性能有重大影响。已经进行了多项研究，以使用不同的计算方法评估重要的形状误差，例如直线度、平面度、圆度、圆柱度和球度。计算方法的必要性是合理的，因为它们最大限度地减少了计算时间和人为错误，并在评估形状错误时提供了改进的容差值。在同样的语境下，本文对用于工程部件中不同形状误差评估的不同计算技术进行了全面回顾和讨论。目前的工作主要集中在数学公式和计算技术方面，即用于精确评估这些误差的传统方法和先进的优化算法。在详细回顾的基础上，描述了几个未来的研究方向。最后，最后一节提出了关于建模和精确评估制造部件中形状误差的计算方法的总结性评论。用于精确评估这些错误。在详细回顾的基础上，描述了几个未来的研究方向。最后，最后一节提出了关于建模和精确评估制造部件中形状误差的计算方法的总结性评论。用于精确评估这些错误。在详细回顾的基础上，描述了几个未来的研究方向。最后，最后一节提出了关于建模和精确评估制造部件中形状误差的计算方法的总结性评论。