Results 211 to 220 of about 60,017 (247)
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On the Use of Conformal Geometric Algebra in Geometric Constraint Solving
2011To model a geometrical part in Computer Aided Design systems, declarative modeling is a well-adapted solution to declare and specify geometric objects and constraints. In this chapter, we are interested in the representation of geometric objects and constraints using a new language of description and representation, Geometric Algebra (GA).
Philippe Serré +2 more
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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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Notes on Differential Kinematics in Conformal Geometric Algebra Approach
2015We consider different elements of a 5D conformal geometric algebra (CGA) as moving geometric objects whose final position is given by a specific kinematic chain. We show the form of the differential kinematics equations for different CGA elements, in particular point pairs, spheres and their centres.
Jaroslav Hrdina, Petr Vasík
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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 ...
Eduardo Bayro-Corrochano +1 more
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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.
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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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Parameterization of 3D Conformal Transformations in Conformal Geometric Algebra
2010Conformal geometric algebra is a powerful mathematical language for describing and manipulating geometric configurations and their conformal transformations. By providing a 5D algebraic representation of 3D geometric configurations, conformal geometric algebra proves to be very helpful in pose estimation, motion design, and neuron-based machine ...
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Foundations for Strip Adjustment of Airborne Laserscanning Data with Conformal Geometric Algebra
Advances in Applied Clifford Algebras, 2021E. Hitzer +4 more
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