tangent space

(redirected from Tangent vectors)

tangent space

[′tan·jənt ‚spās]
(mathematics)
The vector space of all tangent vectors at a given point of a differentiable manifold.
References in periodicals archive ?
p]M, which is the vector space formed by the set of all tangent vectors to M at P; it is determined by its basis vectors on [T.
If the model is not rendered with diffuse, specular and normal maps there is usually no need to calculate normal and tangent vectors at vertex positions.
5), we have the following equation between the tangent vectors of the curves (c), ([c.
2])], which defines the tangent vectors as [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], with i = 1, 2.
X, Y) is treated as a derivation of the tensor algebra for any tangent vectors X, Y.
Quantized flow: The quantized flow vectors derived from the smooth tangent vectors is used to build stroke directions for the pixels inside a region.
Conversely, if the submanifold is totally geodesic, then h(Y, W) = 0, for arbitrary tangent vectors Y and W.
This differential gives the change of the tangent vectors throughout the function.
A parametric surface w(u, v) is called smooth if the tangent vectors in the u and v directions satisfy
ij] is the Gram matrix corresponding to the pair of tangent vectors ([dx'.
However, to describe the deformation in the direction perpendicular to the thin structure's mid-surface, the information on the tangent vectors ([G.