Define Tangent space. Tangent space synonyms, Tangent space pronunciation, Tangent space translation, English dictionary definition of Tangent space. n. The plane containing all the lines tangent to a specified point on a surface. American Heritage® D
Many manifold learning methods require the estimation of the tangent\nspace of the manifold at a point from locally available data samples. Local\nsampling conditions such as (i) the size of the neighborhood (sampling width)\nand (ii) the number of samples in the neighborhood (sampling density...
Manifold learning has attracted considerable attention over the last decade, in which exploring the geometry and topology of the manifold is the central problem. Tangent space is a fundamental tool in discovering the geometry of the manifold. In this paper, we will first review canonical manifold ...
A new method of metric space investigation, based on classification of its finite subspaces, is suggested. It admits to derive information on metric space ... YA Rylov 被引量: 0发表: 0年 The tangent space in sub-Riemannian geometry Tangent spaces of a sub-Riemannian manifold are themselves ...
(redirected fromTangent manifold) tangent bundle [′tan·jənt ‚bənd·əl] (mathematics) The fiber bundleT(M) associated to a differentiable manifoldMwhich is composed of the points ofMtogether with all their tangent vectors. Also known as tangent space. ...
In differential geometry, the tangent bundle of a differentiable manifold M is the disjoint union[note 1] of the tangent spaces of M. That is,[Math Processing Error] where TxM denotes the tangent space to M at the point x. So, an element of TM can be thought of as a pair (x, v...
首先需要明确的是这几样东西的逻辑关系：这里面的基本对象是向量丛，它是一般纤维丛的一个特殊情况，即...
We propose two novel 3D rotation smoothing methods for video stabilization tasks of the common handheld devices. In this paper, we model the motion trajectories of videos in the tangent space of the 3D Special Orthogonal Group (SO(3) manifold). By considering the video frames in coupled and ...
tangentspace 系统标签: tangentspacemanifoldtrajectorybundlecharts TangentSpaceTangentSpace TangentVectorTangentVector MotionalongatrajectoryisMotionalongatrajectoryis describedbypositionanddescribedbypositionand velocity.velocity. ••PositionusesanoriginPositionusesanorigin ••ReferencesthetrajectoryReferencesthetrajec...
Define tangent plane. tangent plane synonyms, tangent plane pronunciation, tangent plane translation, English dictionary definition of tangent plane. n. The plane containing all the lines tangent to a specified point on a surface. American Heritage® D