| 摘要 |
PURPOSE:To control the shape of curved surface simply by controlling freely movement of characteristic curve along controlling curves. CONSTITUTION:A characteristic curve 1 is deformed and moved along controlling curves 2, 3 to make both ends of the characteristic curve 1 conform simultaneously to PiQi. Combination of parallel shifting, rotational shifting and similarity conversion (enlarging and reducing) is enough as the method of deformation and shifting. In the section Pi, Pi+1 and section Qi, Qi+1, a point of correspondence is determined to make the ratio of interior division of arc length of controlling curves 2, 3 equal, and deformation and shifting of the characteristic curve 1 are made in similar way as above-mentioned. Thus, the characteristic curve 1 can be deformed and shifted to pass the designated point of correspondence (Pi, Qi)i=1, n simultaneously, and a smooth curved surface can be formed. |
