Talk:Coons patch

Untitled
S.A.Coons taught the graduate computer graphics series at the University of Utah my second year there. His "little red book" is his best reference where he also discuses the best length for a cubic Hermite curve (given it is a quarter arc.) Also he demonstrates the rational mapping of a quadrilateral to another. He was a scholar in brevity. The use of the 'C' operator | for Boolean sum is forced because I failed to find the circumscribed + in the symbols. Its more right too.

Coons' patch was developed for GM at GM. Car surfaces were a very big deal. Frank Ford Little Ph.D. (talk) 21:02, 4 April 2012 (UTC)


 * Do you mean ⊕ or maybe $$\oplus$$? — Fly by Night  ( talk )  15:42, 8 April 2012 (UTC)

some problems with this article
This article begins thus:
 * The union of two sets contains the elements which are in either one or the other.

The lay reader whose experience is remote from mathematics may read that and wonder if it's about labor unions. If this is on some aspect of applied mathematics that should be made clear in the first sentence. Even someone like me who understands the first sentence has no idea what the article is about after reading it.

Then:
 * An interpolant is a mathematical construction which matches data, a set of linear functionals called its interpolation properties.

At least this begins to make clear that mathematics is what it's about. But nothing yet on what a Coons surface is.
 * Coons combined two interpolants to get the union of their interpolation properties.
 * Coons combined two interpolants to get the union of their interpolation properties.

This doesn't say who Coons is. A 17th-century astronomer? A 19th-century chemist? A 16-year-old mathematical prodigy who was on TV last week?

The article doesn't mention that "Coons' problem was to describe car surfaces" until after going through some mathematical formulas and saying what Coons did with them. Thus it may lose many readers before they have a clue what the article is about. The term "Coons surface" never appears in the article, except in the title.

If I am right in surmising that these are surfaces generated by computer graphics software used in design or description of shapes of automobiles, then that should be made clear at the outset. Michael Hardy (talk) 19:41, 5 April 2012 (UTC)

clarification
I added the to the article, given the obvious issues above. F = q(E+v×B) ⇄ ∑ici 15:11, 8 April 2012 (UTC)
 * I did a compete rewrite so the issues above refer to the old version  rather than the newer version . You might want to review your taging.--Salix (talk): 15:57, 8 April 2012 (UTC)
 * I realize that, but whatever. Its still a stub though, so I'll remove the confusing/issue tags. Surely there is more background and scope for extension? F = q(E+v×B) ⇄ ∑ici 18:41, 8 April 2012 (UTC)

Coons' Contributions were the lofting projectors and the Boolean sum. Seeing an application of univariate interpolation in 2 variables was smart. Formulating the 'or' of projectors from the composition of the remainders was brilliant. Your treatment hides more than it reveals.Fflittle (talk) 02:54, 9 April 2012 (UTC)
 * I do agree Boolean sum and lofting should get a mention. I just need to find a good reference to establish the fact.--Salix (talk): 17:05, 15 April 2012 (UTC)