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The degree of the B-spline with varying knot...

The degree of the B-spline with varying knot vectors:

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+1 vote

asked Sep 23, 2022 in Machine Dynamics by Grayson (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

machine dynamics
computer aided analysis and synthesis of mechanisms
precision points for function generation

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1 Answer

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answered Oct 17, 2022 by Fred (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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