A mathematical definition of bilateral symmetry in point cloud is proposed after a profound study of the principle of symmetry, and an iterative closest point (ICP) based symmetry plane extraction method is presented.
在反求工程中,对称面提取对于点云的几何模型重建具有重要意义。
Presents a symmetry plane reconstruction method based on measured data points, because the majority of parts had been designed with symmetry geometric relationship; after the symmetry plane had been recovered and one with symmetry featuress has been modeled, other symmetry features can be reconstructed by mirror operation.
在对称实物测量造型中,基于对称面进行模型重建可以减少测量数据量、精确重建对称特征和保证实物的对称性。
Rigid body trajectory model of rolling missiles with plane-symmetry;
面对称旋转导弹刚体弹道模型
In according with the basic theory of exterior ballistics and in allusion to the theoretic need of research of key technology of simulative cruise missile,the paper brings forward the requirement of motion equation of plane-symmetry shell.
依据外弹道学基本理论 ,针对巡航导弹模拟弹关键技术研究的理论需要 ,提出了面对称弹丸运动方程的应用需求。
By means of discussing plane symmetry that relates to point, curved surface and curve in a three-dimensional space, this paper gives a method to study point?curved surface?plane symmetric point on a curve?symmetric curved surface and symmetric curve equation.
讨论了三维空间中,点、曲面、曲线关于平面的对称问题,从而给出了求点、曲面、曲线关于平面对称的对称点、对称曲面、对称曲线方程的方法。
By way of the study, we may also judge whether a plane is a symmetric plane of a space curved surface and curve.
通过这些讨论,我们还可以判断出一平面是否是空间曲面、曲线的对称平面。
Study Mathematics-Optical Properties of the Rotating-Axisymmetric Surface
旋转轴对称曲面的数学-光学性质研究
On Pinching Theorem of Sectional Curvature on a Hypersurface with Constant Mean Curvature in Locally Symmetric Quasi-constant Curvature Space;
局部对称拟常黎曼流形中常平均曲率超曲面的截面曲率的Pinching定理
On Pinching Theorem of Sectional Curvature on a Hypersurface with Constant Mean Curvature in a Locally-Symmetric Space;
关于局部对称空间中常平均曲率超曲面的截面曲率的Pinching定理
Hypersurfaces with Constant Mean Curvature in Locally Symmetric Space;
局部对称空间中具有常平均曲率的超曲面
Compact Hyper-surface with Constant Mean Curvature in Locally Symmetric Manifold;
局部对称黎曼流形中的常平均曲率紧致超曲面
Application of the Symmetry in the Calculation of Curvilinear Integral and Surface Integral;
对称性在曲线积分和曲面积分计算中的应用
The application of symmetry to the calculation of curvilinear integral and camber integral;
对称性在曲线积分及曲面积分计算中的应用
Application of Odevity and Symmetry in Curvilinear Integral and Surface Integral;
奇偶性对称性在曲线积分和曲面积分中的应用
Compact Hypersurfaces with Constan Scalar Curvature in Locally Symmetric Manifold
局部对称空间中具有常数量曲率的超曲面
Estimation of Sectional Curvature of Riemann Symmetric Space SU(n)/SO(n);
Riemann对称空间SU(n)/SO(n)截面曲率的估计
Space-like Hypersurfaces in Locally Symmetric Lorentz Spaces
局部对称Lorentz空间中的类空超曲面
This is known as an isochromatic surface.
这样的曲面称为等色面
Symmetry of plane curve is important to function research.
平面曲线的对称性对于函数研究具有重要意义。
The problem of an elastic plane having symmetric parabolic crack is discussed.
研究含轴对称抛物线曲裂纹平面弹性问题.
The Research of Dimensional Conicoide by Using the Orthogonality of Real Symmetric Matrix;
用实对称矩阵的正定性研究空间二次曲面
Some Complete Space-like Hypersurfaces in Locally Symmetric de Sitter Space;
局部对称de Sitter空间中的一类完备类空超曲面
Sectional Curvature of Compact Minimal Submanifolds of Locally Symmetric Manifolds;
局部对称空间中的紧致极小子流形的截面曲率
Harmonic Maps with Potential and Hyper-surface in the Ricci Symmetric Riemannian Manifold
带有位势的调和映射和对称黎曼流形的超曲面