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7 Cards in this Set
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- Back
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What is a spline?
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piecewise polynomial function
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What do the Knots of a spline delineate?
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delineate break points between polynomial pieces
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What is enforced between the pieces of a spline?
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Some level of continuity
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How can a spline be represented in bezier form?
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By connecting bezier pieces where the pieces in the spline were split by the knots
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NURBS
Knotcount = order = |
non-uniform rational b-spline
order + num control points degree + 1 |
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What does affine invariance mean?
Give an example. |
It means that the application of transforms onto the control points results in the same thing as application onto the vertices.
Bezier curves are an example of this. |
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Why are bezier curves within the convex hull of their control points?
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Because they run on t [0,1] and the sum of the basis functions within that range is 1.
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