

On 20200926 3:50 PM (4), Bald Eagle wrote:
> Cousin Ricky <ric### [at] yahoocom> wrote:
>> I just noticed that sometimes Bézier curves (or Bsplines or
>> polynomials) are referred to as 2nd or 3rd order, and sometimes as 2nd
>> or 3rd degree. Are these terms interchangeable?
>
>
> I've seen people claim they are the same, but I also found this:
>
> "In Bspline terminology, order means degree + 1."
> https://math.stackexchange.com/questions/1730596/norderbsplinesinterpolation
>
> So maybe order is the number of control points, and degree is the highest power
> of the polynomial?
Thanks, this gave me a springboard for further searching. It seems that
the term "order" not only has multiple meanings, it can also be
ambiguous within the same meaning! See conflicting definitions of
"order" just between these Wikipedia articles:
https://en.wikipedia.org/wiki/B%C3%A9zier_curve#Higherorder_curves
https://en.wikipedia.org/wiki/Degree_of_a_polynomial
https://en.wikipedia.org/wiki/Order_of_a_polynomial
My takeaway is that I should purge the word "order" from my code and
documentation, and stick to "degree." Also, the release of quadratic
Bézier splines in SphereSweep will be delayed a day or two because of this.
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