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Smooth Surface

A surface Parameterized in variables $u$ and $v$ is called smooth if the Tangent Vectors in the $u$ and $v$ directions satisfy

\begin{displaymath}
{\bf T}_u\times{\bf T}_v \not = {\bf0},
\end{displaymath}

where ${\bf A}\times{\bf B}$ is a Cross Product.




© 1996-9 Eric W. Weisstein
1999-05-26