Results 201 to 210 of about 60,017 (247)
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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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Constrained Dynamics in Conformal and Projective Geometric Algebra
2020In this paper we tackle the problem of constrained rigid body dynamics in the Conformal and Projective Geometric Algebras (CGA, PGA). First we construct a screw-theory based formulation of dynamics in CGA and note the equivalence between this and the PGA dynamics presented by Gunn in[1]. After verifying the formulation via simulation, we move on to the
Hugo Hadfield, Joan Lasenby
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An Efficient Inverse Kinematic Method for SSRMS-type Manipulator with Conformal Geometric Algebra
IEEE International Conference on Advanced Intelligent MechatronicsSSRMS-type Manipulator is a typical type of space manipulator featuring 7-degree-of-freedom offset configuration with redundancy characteristic.
Jingdong Zhao +6 more
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Geometric Entities Voting Schemes in the Conformal Geometric Algebra Framework
Advances in Applied Clifford Algebras, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
López-González, Gehová +2 more
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Kinematics and grasping using conformal geometric algebra
2006In this paper we introduce the conformal geometric algebra in the field of robot grasping. It help us to tackle problems of object modelling, hand kinematics and vision system using a unifying geometric language. We present an grasp algorithm using velocity control.
Julio Zamora-Esquivel +1 more
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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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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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Application of geometric algebra for the description of polymer conformations
The Journal of Chemical Physics, 2008In this paper a Clifford algebra-based method is applied to calculate polymer chain conformations. The approach enables the calculation of the position of an atom in space with the knowledge of the bond length (l), valence angle (θ), and rotation angle (φ) of each of the preceding bonds in the chain.
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Applications of Conformal Geometric Algebra in Mesh Deformation
2013 XXVI Conference on Graphics, Patterns and Images, 2013We illustrate the suitability of Conformal Geometric Algebra for representing deformable mesh models. State-of-the-art modeling tools allow the user to deform 3D models (or region of interest) by selecting sets of points on the surface, called "handles", and move them freely. The deformed surface should look "naturally" stretched and bent.
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Mathematical methods in the applied sciences, 2019
The G8,2 geometric algebra, also called the double conformal/Darboux cyclide geometric algebra (DCGA), has entities that represent conic sections. DCGA also has entities that represent planar sections of Darboux cyclides, which are called cyclidic ...
R. B. Easter, E. Hitzer
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The G8,2 geometric algebra, also called the double conformal/Darboux cyclide geometric algebra (DCGA), has entities that represent conic sections. DCGA also has entities that represent planar sections of Darboux cyclides, which are called cyclidic ...
R. B. Easter, E. Hitzer
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