SplineClosed

SplineClosed

is an option for B-spline functions and graphics primitives that specifies whether spline curves or surfaces should be closed.

Details

  • 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->True, all boundaries are connected smoothly.
  • With the setting SplineClosed->{c1,c2,…}, the boundaries are connected in directions i for which ci is True.

Examples

open allclose all

Basic Examples  (2)

Generally, a B-spline curve is open and passes through the first and last control points:

Smoothly closed B-spline curve with the same control points:

B-spline closed in the -direction:

Scope  (1)

B-spline surface closed in both directions:

Properties & Relations  (2)

Construct an open B-spline curve from B-spline basis functions:

The basis functions differ by their indices:

Construct a closed B-spline curve from uniform B-spline basis functions:

The basis functions are periodic. Thus they are of the same shape:

Wolfram Research (2008), SplineClosed, Wolfram Language function, https://reference.wolfram.com/language/ref/SplineClosed.html.

Text

Wolfram Research (2008), SplineClosed, Wolfram Language function, https://reference.wolfram.com/language/ref/SplineClosed.html.

CMS

Wolfram Language. 2008. "SplineClosed." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SplineClosed.html.

APA

Wolfram Language. (2008). SplineClosed. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SplineClosed.html

BibTeX

@misc{reference.wolfram_2024_splineclosed, author="Wolfram Research", title="{SplineClosed}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/SplineClosed.html}", note=[Accessed: 30-December-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_splineclosed, organization={Wolfram Research}, title={SplineClosed}, year={2008}, url={https://reference.wolfram.com/language/ref/SplineClosed.html}, note=[Accessed: 30-December-2024 ]}