Results 131 to 140 of about 352 (177)
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Navigation functions in Conformal Geometric Algebra
IX Latin American Robotics Symposium and IEEE Colombian Conference on Automatic Control, 2011 IEEE, 2011Conformal Geometric Algebra (CGA) can greatly improve controllers by simplifying the necessary equations and by its ability to apply geometric operations to more complicated geometric entities. In this paper we extend a singularity free CGA-based angular and linear velocity controller with navigation functions.
Geoff Fink +2 more
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2018
This chapter is devoted to a presentation of conformal geometric algebra (CGA) targeted to the sort of applications dealt with in chapters 4 (robotics) and 5 (molecular geometry). This means that the ground space will be the Euclidean space E3 and that the algebra we will be working with is designed so that it can encode all conformal transformations ...
Carlile Lavor +2 more
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This chapter is devoted to a presentation of conformal geometric algebra (CGA) targeted to the sort of applications dealt with in chapters 4 (robotics) and 5 (molecular geometry). This means that the ground space will be the Euclidean space E3 and that the algebra we will be working with is designed so that it can encode all conformal transformations ...
Carlile Lavor +2 more
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Binocular Computer Vision Based on Conformal Geometric Algebra
Advances in Applied Clifford Algebras, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jaroslav Hrdina, Aleš Návrat
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Triple Conformal Geometric Algebra for Cubic Plane Curves
Mathematical Methods in the Applied Sciences, 2017The triple conformal geometric algebra (TCGA) for the Euclidean ‐plane extends CGA as the product of 3 orthogonal CGAs and thereby the representation of geometric entities to general cubic plane curves and certain cyclidic (or roulette) quartic, quintic, and sextic plane curves.
Robert Benjamin Easter, Eckhard Hitzer
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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
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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
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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.
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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.
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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.
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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.
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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
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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
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