Geometric algebra

Geometric Algebra Analysis of Quantum Pure State and Mixed State

量子纯态与混合态的几何代数分析

Matching and Estimating Motion of Line Model Using Geometric Algebra

利用几何代数进行线段模型匹配和运动估计

Realization of Circle Fitting Algorithm Based on Conformal Geometric Algebra

基于共形几何代数的圆拟合方法实现

Conformal Geometric Algebra & A New Framework for Computational Geometry

共形几何代数&几何代数的新理论和计算框架

Geometric Algebra and Its Usage in Flight Dynamics

几何代数及其在飞行力学中的应用

Conformal Geometric Algebra for Motion and Shape Description

共形几何代数与运动和形状的刻画

Algorithms of elimination and simplification based on geometric algebra in automatic proving of geometric theorem

几何代数在定理证明中的消元与化简算法

Past mathematicians explained it with the so-called geometric algebra .

以往的数学史家多用几何代数观点来解释这个问题。

This paper applies conformal geometric algebra to analyze the reverse kinematics of serial robot .

本文应用共形几何代数分析串联机器人的运动学反解。

Geometric algebra is a more general mathematical language established on the basis of the Clifford algebra .

几何代数是在Clifford代数的基础上，建立的一种更具概括性数学语言。

Conformal Geometric Algebra ( CGA ) is a new tool for geometric representation and computation .

共形几何代数是一个新的几何表示和计算工具。

This paper tries to introduce conformal geometric algebra for the building of V-Construction neighborhood algorithm .

本文尝试将共形几何代数理论引入V-邻域算法构建中。

Conformal Geometric Algebra and Algebraic Manipulations of Geometric Invariants

共形几何代数与几何不变量的代数运算

The mathematics expressions of using geometric algebra to solve the unified driving of linear transformations are equal to those of quaternion algebra .

分析表明采用几何代数与采用四元数代数在解决三维线性变换的统一推导问题方面，数学描述等价。

Draw multidimensional unified objects expression and operation structure of conformal geometric algebra , the unique organization of objects and attributes , multi-dimensional integrated structure of V-neighborhood algorithm framework is proposed .

借鉴CGA多维统一的对象表达和运算结构，及对象与属性的独特组织机制，提出了多维统一的V-邻域算法结构框架。

Then the three-dimensional community case simulation study shows that the interpolation algorithm of this paper has better interpolation results , and that indicate V-neighborhood algorithm structure based conformal geometric algebra has good generality and extending .

三维社区案例模拟研究显示，本文构建的插值算法具有较好的插值效果，显示基于CGA的V-邻域算法结构具有较好的通用性和可推广性。

Now , we will want to use another system is geometric algebra , in particular the five-dimensional conformal geometric algebra , it unifies mathematical systems used computer graphics in a simple and intuitive way .

现在将要使用的一个新的数学系统是几何代数，尤其是五维共形几何代数，它统一了过去使用的各种数学系统，能够以简便和富有几何直观的方式应用于我们的问题中。

This paper discussed the application of Clifford algebra ( Geometric algebra ) in the area of computer vision , presented the uniform formula of 2D and 3D rotation and their application in matching and estimation motion of the line segments model .

进而探讨了该公式在直线模型匹配和运动估计中的应用；

A Method to Evaluate Geometric Constraints Based on Algebra Theory

一种基于代数理论评估几何约束的方法