Results 161 to 170 of about 35,567 (199)
Some of the next articles are maybe not open access.
Detection Geometric Object in the Conformal Geometric Algebra Framework
2011 12th International Conference on Computer-Aided Design and Computer Graphics, 2011An eficient rndomized agorithm for line and circle detection in the Conformal Geometric Algebra framework is designed and implemented. This arithmetic performs well when an image has strong background noise. In conformal geometric algebra, circle and line in conformal space can be represented as multivectors.
Zongmin Li, Xiaoxuan Hong, Yujie Liu
openaire +1 more source
Conformal Geometric Algebra method for detection of geometric primitives
2016 23rd International Conference on Pattern Recognition (ICPR), 2016In this paper, we present a geometric algebra approach for detection of geometric entities in images. Our algorithm is grounded on two methodologies: representation of geometric entities and perceptual properties using Conformal Geometric Algebra, and a voting scheme which is implemented using a clustering algorithm.
Gerardo Altamirano-Gomez +1 more
openaire +1 more source
2012
In this book, we focus on 5D Conformal Geometric Algebra (CGA). The “conformal” comes from the fact that it handles conformal transformations easily. These transformations leave angles invariant.
openaire +1 more source
In this book, we focus on 5D Conformal Geometric Algebra (CGA). The “conformal” comes from the fact that it handles conformal transformations easily. These transformations leave angles invariant.
openaire +1 more source
2009
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 Plucker coordinates can be used to represent points and planes as well.
openaire +1 more source
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 Plucker coordinates can be used to represent points and planes as well.
openaire +1 more source
Conformal geometric algebra for spherical convex hull
2011 International Conference on Computer Science and Service System (CSSS), 2011For a given number of points on the plane, find a minimum set of points even as a convex polygon, which is one of the classic problems of computational geometry. The traditional method is to determine the relationship between point and polygon, the algorithm is less efficient.
null Xuehui Zhang, null Li Ma
openaire +1 more source
Human like vision using conformal geometric algebra
Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006., 2006In this paper we introduce a conformal model for stereoscopic perception systems. This model fuses stereoscopic views using an extended 3D horopter concept. This model is suitable for building a powerful binocular head for humanoids, intuitive man-machine interfaces and advanced 3D automated visual ...
E. Bayro-Corrochano, D. Gonzalez-Aguirre
openaire +1 more source
Geometric Product of Two Oriented Points in Conformal Geometric Algebra
Advances in Applied Clifford AlgebrasThe author studies products of oriented points in the framework of conformal geometric algebra (CGA) of the three-dimensional Euclidean space, i.e., the Clifford algebra \(Cl(4,1)\). After a brief introduction, the notion of an oriented point in CGA is explained in detail, and then the geometric product of such points is calculated explicitly in ...
openaire +1 more source
Geometric Error Modeling of Parallel Manipulators Based on Conformal Geometric Algebra
Advances in Applied Clifford Algebras, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Visual Servoing on the Sphere Using Conformal Geometric Algebra
Advances in Applied Clifford Algebras, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
López-Franco, Carlos +2 more
openaire +1 more source
Rigid Body Dynamics and Conformal Geometric Algebra
2011We discuss a fully covariant Lagrangian-based description of 3D rigid body motion, employing spinors in 5D conformal space. The use of this space enables the translational and rotational degrees of freedom of the body to be expressed via a unified rotor structure, and the equations of motion in terms of a generalised ‘moment of inertia tensor’ are ...
Anthony Lasenby +2 more
openaire +1 more source