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...
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 ...
https://doi.org/10.1360/SSM-2019-0329 Download PDF|View PDF| + Add to library | Keywords Export|Email| Rating 0 Citations 0 Altmetric 411 Article access Article metrics 科大讯飞翻译(iFLYTEK Translation) Abstract This paper further develops conformal geometric algebra (CGA) from both the algebrai...
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 ...
Unable to display preview.Download preview PDF. Rights and permissions Reprints and permissions Copyright information © 2008 Springer-Verlag London Limited About this chapter Cite this chapter (2008). Conformal Geometry. In: Geometric Algebra for Computer Graphics. Springer, London. https://doi.org...
robust set of algorithms for performing circle blends for a range of cases. An arbitrary level of G-continuity can be achieved by simple alterations to the underly- ing parameterisation. Our method exploits the computational framework provided by conformal geometric algebra. This employs a five-...
Kinematics of robot manipulators in the motor algebra 1.2.3 Kinematic constraints in conformal geometric algebra Now we need only formulate the constraints for collinearity and coplana...E. Bayro-Corrochano and D. Kähler, “Kinematics of robot manipulators in the motor algebra,” pp. ... E ...
The proposed framework enables us not only to intuitively represent quadric surfaces but also to construct objects using Conformal Geometric Algebra. Our proposed framework also provides the computation of the intersection of quadric surfaces, the normal vector, and the tangent plane of a quadric ...
Lasenby, A.: Recent applications of conformal geometric algebra. In: Li, H., et al. (eds.) Computer Algebra and Geometric Algebra with Applications. LNCS, vol. 3519, pp. 298–328. Springer, Berlin (2005)A. Lasenby, Recent applications of conformal geometric algebra. In Interna- tional ...