Results 141 to 150 of about 386 (180)
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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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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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Trident Snake Control Based on Conformal Geometric Algebra
Advances in Intelligent Systems and Computing, 2015Local controllability of a trident snake robot is solved by means of 5D conformal geometric algebra. The non–holonomic kinematic equations are assembled, their property to be a Pfaff system is discussed and the solution is found. The functionality is demonstrated on a virtual model in CLUCalc programme.
Radomil Matoušek +2 more
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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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ConformalALU: A Conformal Geometric Algebra Coprocessor for Medical Image Processing
IEEE Transactions on Computers, 2015Medical imaging involves important computational geometric problems, such as image segmentation and analysis, shape approximation, three-dimensional (3D) modeling, and registration of volumetric data. In the last few years, Conformal Geometric Algebra (CGA), based on five-dimensional (5D) Clifford Algebra, is emerging as a new paradigm that offers ...
Salvatore Vitabile +2 more
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