+1 vote
in Machine Dynamics by (34.3k points)
The degree of the B-spline with varying knot vectors:

(a) Increases with knot vectors

(b) Decreases with knot vectors

(c) Remains constant

(d) none of the mentioned

I got this question in homework.

The query is from Precision Points for Function Generation topic in chapter Computer Aided Analysis and Synthesis of Mechanisms of Machine Dynamics

1 Answer

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by (38.6k points)
Right answer is (a) Increases with knot vectors

The best explanation: Changing the degree of the curve due to the increase of knots will change the shape of the curve globally and will not be considered. Therefore, inserting a new knot causes a new control point to be added. In fact, some existing control points are removed and replaced with new ones by corner cutting.

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