This example shows how to reduce the number of points in a Bézier curve. Starting with this Bézier curve:
To select additional points press the Shift key while selecting the next point, or click to use the Point selection dialog.
The original points 7, 8, 14, or 15 have become points 3, 6, 9, and 12 but still have the same location and tangency direction. Although you entered a Number of points in range of 10, the actual number of points is 14 as there are 4 ignored points.
If you do not ignore the points at the tangent discontinuities, reducing the number of points in the curve produces: