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Method and apparatus for creating a three-dimensional space curve by smoothly connecting a three-dimensional sequence of discretely given paints
Method and apparatus for creating a three-dimensional space curve by smoothly connecting a three-dimensional sequence of discretely given paints
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机译：通过平滑连接离散给定涂料的三维序列来创建三维空间曲线的方法和设备
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摘要
A three-dimensional sequence of discretely given points Pi (i=1, 2, . . . ) is projected onto two mutually adjacent planes (XY plane, YZ plane) in a rectangular coordinate system. Next, two-dimensional point sequence connecting curves (TQ, TR) which smoothly connect the projected point sequences (Qi, Ri) on the respective planes are obtained, and a space curve is created using these two-dimensional point sequence connecting curves. Specifically, the common axis (Y axis) of the two mutually adjacent planes is partitioned at minute intervals, coordinates (xj,yj), (yj,zj) of points (Qj,Rj) on each of the two-dimensional point sequence connecting curves (TQ, TR) having a common axis coordinate yj of a j-th partitioning point are successively obtained, and the space curve is created by the coordinates (xj,yj,zj) (j=1, 2, . . . , n) of a sequence of three-dimensional points (Tj).
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