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On 9/26/20 4:50 PM, Cousin Ricky wrote:
> On 2020-09-26 3:50 PM (-4), Bald Eagle wrote:
>> Cousin Ricky <ric### [at] yahoo com> wrote:
>>> I just noticed that sometimes Bézier curves (or B-splines or
>>> polynomials) are referred to as 2nd or 3rd order, and sometimes as 2nd
>>> or 3rd degree. Are these terms interchangeable?
...
>
> 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.
Expect reasonable.
The day to day use is foggy - me as guilty as any I expect. In doing the
solver work a couple years back, I came to the following understanding:
The degree of a polynomial equation is that of the largest term by
exponent with a non-zero coefficient.
While programming for polynomials the order is the maximum degree a
given algorithm can handle. This might be greater than the degree of any
given equation being evaluated, manipulated, solved for roots, or
whatever - using that algorithm. The coefficient storage required in
these domains then is usually the (order + 1) * coefficient_size.
When matrix math comes into play, folks tend to think in terms of matrix
order which is degree + 1 or 'polynomial' order + 1.
Your kilometers may vary.
Bill P.
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