Talk:Support function

Diagram

A nice diagram would have an origin, a curve around the origin, and tangent planes drawn with rays from the origin to the planes. As I heard Strang put it today in a lecture, the support function is supporting the set with a bunch of planes. —Ben FrantzDale 02:37, 8 February 2007 (UTC)

Perimeter

$h(\mathbf {x} )=\mathbf {x} \cdot N(\mathbf {x} )\quad \forall \mathbf {x}$ on the perimeter of M.

How is the perimeter of a regular surface M defined? --Abdull (talk) 19:22, 28 June 2008 (UTC)

Unresolved issues

• A figure illustrating the definition would be nice (similar to the one in Richard Gardner's book on geometric tomography)
• I was not sure about the use of support functions outside convex geometry. I therefore included the original definition

for orientable manifolds under Variants. Anybody who knows more about this? (I am tempted to omit it completely)

• Are the Categories correct? I am a newcomer on wikipedia and haven't overview over the categories and their correct use.
• I avoided the notion of "convex body", as in the wiki-definition "convex bodies" always contain interior points and this is not needed here anywhere.

Nysgerrig (talk) 15:32, 3 October 2010 (UTC)

• I added a number of Wikilinks to the summary, but did not include one for "non-empty set", as "non-empty" redirects to empty set, which in turn refers one to inhabited set, which is not quite the same thing. Others might question my decision.

--Onkelringelhuth (talk) 14:25, 23 January 2012 (UTC)