The geometric algebra of a 3D Euclidean space \\(G_{3,0,0}\\) has a point basis and the motor algebra \\(G_{3,0,1}\\) a line basis. In the latter geometric algebra, the lines expressed in terms of Pl眉cker coordinates can be used to represent points and planes as well. The...
This paper starts with an introduction to conformal geometric algebra. This introduction is self-contained, but to keep its length down a number of concepts are introduced with a minimum of explanation. We then turn to the question of how to mathematically encode transformations between circles. We...
Many methods to register 3D/3D medical images have been proposed, but most are based on traditional algebra, and have some problems with registration accuracy and efficiency. Here we reconstruct the position constraints of a 3D medical image with conformal geometric algebra, which is a kind of ...
Conformal Geometric Algebra(CGA) is a new tool for geometric representation and computation.As an integration of advanced geometric invariants and covariants systems,CGA provides a unified and compact homogeneous algebraic framework for classical geometries,together with a set of effective algorithms for ...
Geometric algebra can determine optimal point and polygon point for judging the position circle relationship with that simple and high efficiency. 展开 关键词: Conformal Geometric Algebra Convex Polygon One Shot Spherical Convex Hull 会议名称: 2011 International Conference on Computer Science and Service ...
1Citations Abstract This work presents a new method to apply the Hough Transform to 2D and 3D cloud points using the conformal geometric algebra framework. The objective is to detect geometric entities, with the use of simple parametric equations and the properties of the geometric algebra. We ...
I first developed Versor while reading "Geometric Algebra for Computer Science" by Leo Dorst, Daniel Fontijne, and Stephen Mann. It's a fantastic book and if you're reading this you should also consider reading that.Built to aid in my modelling of organic forms, the initial development was ...
Geometric computing in computer graphics using conformal geometric algebra Early in the development of computer graphics it was realized that projective geometry was well suited for the representation of transformations. Now, it s... D Hildenbrand - 《Computers & Graphics》 被引量: 106发表: 2005年...
... compact suuport 紧支集 Conformal geometric algebra 共形几何代数 conjugate 共轭的 ... xihongguang.wordpress.com|基于3个网页 例句 释义: 全部,共形几何代数 更多例句筛选 1. 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...
Omnidirectional Robot Vision Using Conformal Geometric Computing In this paper, we show how to use the conformal geometric algebra (CGA) as a framework to model the different catadioptric systems using the unified model ... C López-Franco,E Bayro-Corrochano - 《Journal of Mathematical Imaging &...