B-spline
Noun
Meaning
B-spline (plural B-splines)
Abbreviation of basis spline.
Examples
Example, if we want to interpolate three values in between B-spline nodes ( ), we can write the signal as: Convolution of the signal with a rectangle function gives first order interpolated b-spline values.
Included as part of Spatial's suite of 3D modeling development technologies, 3D Deformable Modeling uses local and global editing features that allow for the easy creation and manipulation of free-form B-spline and NURBS curves and surfaces.
I have some B-Spline code that does this interactively.
When the weight is equal to 1, a NURBS is simply a B-spline and as such NURBS generalizes both B-splines and Bézier curves and surfaces, the primary difference being the weighting of the control points which makes NURBS curves "rational".
For any given set of knots, the B-spline is unique, hence the name, B being short for Basis.
Fast b-spline interpolation on a uniform sample domain can be done by iterative mean-filtering.