The invention discloses an error-controllable curved
surface matching generation method based on a Trimmed curve and a
lofting method thereof, and relates to the technical field of three-
dimensional modeling, two curved surfaces S1 (u1, v1) and S2 (u2, v2) are given, matching is carried out by modifying a
cutting curve, namely the Trimmed curve, on the curved surfaces S1 (u1, v1) and the curved surfaces S2 (u2, v2), the matched curved surfaces completely coincide with the curved surfaces S1 (u1, v1) and are spliced with the
cutting curve on the curved surfaces S2 (u2, v2), and the three-
dimensional modeling is carried out. G0, G1 and G2 are continuous at the joint. According to the method, the high-quality matching curved surface can be generated within the preset splicing error threshold value, it is ensured that the generated matching curved surface has high fairness and quality, compared with industrial standard
software CATIA
software, the matching curved surface generated through the method can completely coincide with the reference curved surface while the quality of the matching curved surface generated through the method is kept the same, and the matching effect is good. And subsequent adjustment and modification are easier. The method can also be applied to
lofting, and a
lofting curved surface with controllable errors is obtained.