This research aims to establish a methodology for en or analysis, providing a norm to analyse the margin of en or between a prototype and its final product during reverse engineering. it is anticipated thar the information derived from such an error analysis is advantageous either for refinement of the product or for modification of a later CAD model, In error analysis, the priority is to establish a universal comparison-standard for the prototype and the final product. In other words, this research calls for a coordinate transformation matrix which transforms the coordinate of measured point-data of a prototype to another coordinate system consistent with that of the final product. The main issues in this research include. 1. Process point-data beforehand and construct a B-spline surface based on these data. 2. Regard statistics as a reference to determine the number of exam-points required for error analysis. 3. Use a simplex method along with a least-squares method to acquire three translation and three rotation parameters for coordinate transformation. 4. Conduct error analysis and display margins of error In addition to fundamental theory and algorithmic discussion, this research proves the viability of the proposed methodology by examples.