Last Updated
：2025/11/22
surface normal
（ plural ）
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(differential geometry) A unit vector at any given point P of a surface M which is perpendicular to the tangent plane T_P(M) of M at P. For a surface with parametrization ⃑x(u,v), it is given by
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surface normal
To compute the surface normal at a point P on the parametrized surface x(u, v), take the normalized cross product of the partial derivatives x_u and x_v.
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To compute the surface normal at a point P on the parametrized surface x(u, v), take the normalized cross product of the partial derivatives x_u and x_v.
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