Add NURBS #24
Add NURBS #24
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What is NURBS? Can you link a paper? Maybe in a docstring as well? |
src/interpolation_utils.jl
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| @@ -56,6 +80,13 @@ function get_output_size(interp::NDInterpolation{N_in}) where {N_in} | |||
| size(interp.u)[(N_in + 1):end] | |||
| end | |||
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| make_zero(::T) where {T <: Number} = zero(T) | |||
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| function make_zero(v::T) where {T <: AbstractArray} | |||
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| function make_zero(v::T) where {T <: AbstractArray} | |
| function make_zero!!(v::T) where {T <: AbstractArray} |
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What does this mean? That some methods are mutating and some aren't?
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NURBS stands for Non-Uniform Rational Basis Spline. It's a generalization of B-Spline geometries, where a weight is associated with each control point which determines how relatively attractive the control point is. When all weights are the same, the geometry reduces to a B-spline. NURBS are apparently popular in CAD. The weights are used to construct piecewise rational weight functions for the control points, hence the R (which also makes analytical derivatives a pain). Using the weights certain shapes can be represented exactly which can only be approximated by B-Splines, for instance a circle (which is why I use that in a unit test). The Wikipedia page does a pretty good job of introducing the concept, but the go-to source for this subject is The NURBS book. |
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https://www.brnt.eu/phd/node11.html clears it up. I think this looks good sans the small comments I had above. |
Checklist
contributor guidelines, in particular the SciML Style Guide and
COLPRAC.
Additional context
Fixes #16