Comments (2)
Thanks @hyrodium ! It makes sense that the constructor extends the knots based on the order.
from bsplines.jl.
Here,
length(basis)
returns 6, but I expect 4.
It seems the constructor BSplineBasis
automatically inserts additional knots on the endpoints. (i.e. the knot vector will be converted from [0,0,0,1,1,1]
to [0,0,0,0,1,1,1,1]
for order 2 (polynomial degree 1). ) With these converted knot vector, number of B-spline functions is 6.
If you would like to have four B-spline functions with knots (0,1) and polynomial degree 1, the following script seems working fine here.
julia> basis = BSplineBasis(2, [0,0,1,1])
4-element BSplineBasis{Vector{Int64}}:
order: 2
breakpoints: [0, 0, 1, 1]
julia> length(basis)
4
Btw, I'm also working on another B-spline package, named BasicBSpline.jl. With this package, you can solve this issue like this:
julia> using BasicBSpline
julia> k = KnotVector(0,1)*3
KnotVector([0.0, 0.0, 0.0, 1.0, 1.0, 1.0])
julia> P = BSplineSpace{1}(k) # polynomial degree 1
BSplineSpace{1, Float64}(KnotVector([0.0, 0.0, 0.0, 1.0, 1.0, 1.0]))
julia> dim(P)
4
from bsplines.jl.
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from bsplines.jl.