Blending functions
Requirements for blending (basis) functions Bi(t):
- The control point pi has maximal influence near parameter value i; the further we are from i, the less Bi should be; if we want local control (curve does not change far enough from a control point) Bi(t) should be zero for t far from i. Should look like this:
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- If all control points are the same, the resulting curve should be reduced to the same point.