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...
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 ...
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 ...
Hestenes D. Old wine in new bottles: A new algebraic framework for computational geometry. In: Geometric Algebra with Applications in Science and Engineering. Boston: Birkhäuser, 2001, 3--17. Google Scholar [3] Li H. Symbolic computation in the homogeneous geometric model with Clifford algebra...
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 ...
Summary: This paper introduces the mathematical framework of conformal geometric algebra (CGA) as a language for computer graphics and computer vision. Specifically it discusses a new method for pose and position interpolation based on CGA which firstly allows for existing interpolation methods to be ...
A. Lasenby, Recent applications of conformal geometric algebra . In International Workshop on Geometric Invariance and Applications in Engineering Xi’an, China, May 2004.Recent applications of conformal geometric algebra. Lasenby A. International Workshop on Geometric Invariance and Applications in ...
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...
E. Hitzer, Geometric operations implemented by conformal geometric algebra neural nodes, in: Proceedings of the SICE Symposium on Systems and Information, 2008, pp. 357-362.E. Hitzer, Geometric operations implemented by conformal geometric algebra neural nodes, Proc. SICE Symposium on Systems and ...