Support function

Support function

In mathematics, for an oriented regular surface, "M", with a unit normal vector, "N", defined everywhere on its surface, the support function h:M o mathbb{R} is defined by: h(mathbf{x})=mathbf{x}cdot N(mathbf{x})quadforall mathbf{x} on the perimeter of "M".

In other words, the support function of a set is an alternate representation of the set in terms of the position of all tangent planes that enclose the set. That is, mathbf{x}cdot N(mathbf{x}) defines a plane that intersects x with a normal "N".

External links

* [http://mathworld.wolfram.com/SupportFunction.html MathWorld on Support Function]


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