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SplineClosed

SplineClosed
is an option for B-spline functions and graphics primitives which specifies whether spline curves or surfaces should be closed.
  • For curves, the setting SplineClosed->True makes the first and last points be connected smoothly.
  • For higher dimension surfaces and manifolds, SplineClosed->True makes all boundaries be connected smoothly.
  • With the setting SplineClosed->{c1, c2, ...}, the boundaries are connected in directions i for which ci is True.
Generally, B-spline curve is open and passing through the first and last control points.
Smoothly closed B-spline curve with the same control points:
B-spline closed in v-direction:
Generally, B-spline curve is open and passing through the first and last control points.
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Smoothly closed B-spline curve with the same control points:
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B-spline closed in v-direction:
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B-spline surface closed in both directions:
Construct open B-spline curve from B-spline basis functions:
The basis functions differ by their indices:
Construct closed B-spline curve from uniform B-spline basis functions:
The basis functions are periodic. Thus they are of the same shape:
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