| 摘要 |
<p>This invention relates to a method and apparatus for generating spatial curves which can generate three-dimensional spatial curves from three-dimensional point sequences given discretely within a short processing time. A three-dimensional point sequence Pi (i = 1, 2, ...) is projected onto two planes (XY, YZ planes) adjacent to each other in an orthogonal coordinates system and two-dimensional point sequence connection curves (TQ, TR) connecting smoothly the projected point sequences (Qi, Ri) on each plane are determined. Next, the common axis (Y axis) of the adjacent two planes is divided into infinitesimal sections and coordinates values (Xj, Yj), (Yj, Zj) of the points (Qj, Rj) on each two-dimensional point sequence connection curve (TQ, TR) having the common axis coordinates value yj of the jth division point are determined sequentially, and spatial curves are generated by the coordinates values (xj, yj, zj) (j = 1, 2, ..., n) of a three-dimensional point sequence (Tj).</p> |
