We show how the basic,advanced and rational invariants in conformal geometric algebra(CGA) appear naturally in geometric problems,how they are manipulated algebraically,and how to obtain the .
文中介绍了共形几何代数中的基本、高级和有理不变量如何在几何问题中自然出现,它们之间如何进行代数运算,以及如何通过不变量的化简,自然地得到几何条件的充分必要化和几何定理的完全化。
Applications of conformal geometric algebra(CGA) in problems of computer vision and graphics related to motion and shape description show that,CGA can provide universal and effective representations and algorithms.
共形几何代数在基于运动和形状刻画的视觉和图形学若干问题中的应用,反映了它能够提供统一和有效的表示和算法,这些应用主要集中在采纳几何体的Grassmann分级表示以及刚体运动的旋量和扭量表示。
This paper reviews major achievements in recent years on geometric algebras and advanced invariant computing,with emphasis upon the background,guideline and estab- lishment of conformal geometric algebra and its important contributions to the development of advanced invariants in classical geometry.
综述近几年来几何代数和高级不变量计算两方面的主要进展,重点是共形几何代数的背景、思路、发展和对经典几何的高级不变量理论发展的重要作用。
New technology of seeker conformal phased array antenna;
导引头共形相控阵天线新技术
Researches on Conformal Radiating Elements and Array Antennas;
共形辐射单元及共形阵列研究
In this paper,a kind of cylindrical EBG structures applied to base station cylindrical conformal dipole array antennas is studied.
对一种柱面电磁带隙结构应用于圆柱共形偶极子振基站天线进行了研究。
By Complex Mapping theory, doing mutual numerical calculation to finite odd and even interpolation points on the non-circle cross-section profile of special-shaped products, the conformal mapping function which can mutually transform cross-section region into unit dish region is set up.
应用共形映射理论,在异型材非圆截面轮廓上,通过有限奇偶插值点的相互数值求解,建立异型材截面域与单位圆域相互转化的共形映射函数。
According to the complex conformal mapping principle, a systemic modeling was made on the extruding die for special-typed metals and the plastically deforming metals.
采用复变共形映射理论 ,对异型材挤压模及金属塑性变形体进行系统建模 ,并建立塑变形体的能量方程 ,根据极值原理 ,得到异型材挤压模优化设计参
A pinching theorem of compact pseudoumbilical submanifolds with parallel mean curvature vector in a locally symmetric conformally flat Riemannian manifolds;
局部对称共形平坦黎曼流形中具平行平均曲率向量的伪脐子流形的一个刚性定理
In this paper,we study 2-harmonic spacelike hypersurfaces in a locally symmetric and conformally flat lorentz manifold and obtain a pinching theorem of the class of hypersurfaces to the ambient manifold.
研究局部对称共形平坦洛伦兹流形中的2-调和类空超曲面,得到它对外围空间的一个拼挤定理。
In this paper, we discuss the 2-harmonic spacelike submanifolds in a locally symmetric and conformally flat pseudo-riemannian manifold and get two sufficient conditions under which Mn turns into a maximal submanifold,and the results in [2] are improved.
讨论局部对称共形平坦伪黎曼流形的2-调和类空子流形,得到这类子流形成为极大的二个充分条件,推广了文[2]中的结论。