活动标架 meaning in Chinese
moving frame
Examples
- This paper surveys the algorithmic theory of moving frames developed by peter j . olver and m . fels . their applications to geometry , classical invariant theory are indicated
本文较系统地综述了由peterj . olver和m . fels推广的活动标架理论。 - Application of the theory of moving frames leads to costruct symmetry - preserving numerical approximations to differential invariants and invariant differential equations
通过应用活动标架理论，我们可以构造出微分不变量和不变微分方程的保对称数值近似。 - A large number of analytical data is extracted from well - designed experiments , with which the influence of the generator simplification and the trajectory resample to the last swept volume is analyzed
通过大量实验数据，着重分析了扫描母体的简化和利用活动标架对扫描路径进行重采样两个步骤对扫描体逼近的影响。 - Some pinching theorems about totally real pseudo - umbilical submanifolds with parallel mean curvature vector becoming totally real and totally umbilical submanifolds are obtained by choosing a suitable frame ? eld
通过选取合适的活动标架，获得具有平行平均曲率向量的全实伪脐子流形成为全实全脐子流形的若干pinching定理 - In computation of swept volume approximation , an improved technique to generate the swept volume approximation for arbitrary meshes is presented by introducing generator simplification and path resample using frenet moving frames along the discreted sweeping trajectory . other steps , such as a directed distance field computation on a uniform grid based on the hardware accelerated computation technique and iso - surface extraction using marching cubes algorithm , are also included in this algorithm . in addition , the simplification scheme and smoothing technique are applied to the swept volume generated from iso - surface extraction
本文的主要贡献在于：在扫描体逼近计算方面，在原有任意多边形网格模型沿任意路径运动生成扫描体逼近算法的基础上，提出了加入对扫描母体简化的预处理和用活动标架对扫描路径进行重采样等过程，算法的其它过程还包括：计算扫描体中几何基元的排列，用硬件加速构造无符号的有向距离场，将无符号距离场转化为有符号距离场，从有符号有向距离场提取等值面等。