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Using fairly simple language, what is Hermite data? I encountered it here, http://www.frankpetterson.com/publications/dualcontour/dualcontour.pdf and could not get an answer on standard StackExchange, who 'referred' me to here.

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I've been reading this article recently and have no clue what a hermite data is. But for this article specifically, I think the author already given a explanation for hermite data in its abstract: Hermite data (i.e; exact intersection points and normals) hope this would help – user297825 Dec 11 '15 at 8:11

Hermite data is the value of a function and all its derivatives up to some order at all points of a data set. It is used in Hermite interpolation.

If you do not supply all the derivatives for all points, then you have Birkhoff data, also called Hermite–Birkhoff, which of course is used in Birkhoff interpolation.

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"derivatives up to some order" ... for us stupid people .. what does that mean? – War Oct 27 '14 at 9:09
    
It means that you store the value at some point, but also how this value changes at that point, and how this change of value changes etc – MHGameWork Jul 9 '15 at 11:13

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