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Support Function

Let $M$ be an oriented Regular Surface in $\Bbb{R}^3$ with normal N. Then the support function of $M$ is the function $h:M\to\Bbb{R}$ defined by

h({\bf p})={\bf p}\cdot{\bf N}({\bf p}).


Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, p. 293, 1993.

© 1996-9 Eric W. Weisstein