Add to ORKGIn this paper, we consider several parameterizations of rigid transformations using motors in 3-D conformal geometric algebra. In particular, we present parameterizations based on the exponential, outer exponential, and Cayley maps of bivectors, as well as a map based on a first-order approximation of the exponential followed by orthogonal projection onto the group manifold. We relate these parameterizations to the matrix representations of rigid transformations in the 3-D special Euclidean group
International audienceThe book explores the use of Lie groups in the kinematics and dynamics of rigi...
After revising known representations of the group of Euclidean displacements Daniel Klawitter gives ...
To advance the use of geometric algebra in practice, we develop computational methods for parameteri...
In this paper, we consider several parameterizations of rigid transformations using motors in 3-D co...
The motion rotors, or motors, are used to model Euclidean motion in 3D conformal geometric algebra. ...
Conformal transformations are described by rotors in the conformal model of geometric algebra (CGA)....
The classical Vahlen matrix representation of conformal transformations on R(n) is directly related ...
In this paper we present a novel method for nonlinear rigid body motion estimation from noisy data u...
In this paper we tackle the problem of constrained rigid body dynamics in the Conformal and Projecti...
Affine transformation (or geometric transformation) provides a mathematical foundation for shape man...
A Cayley map for the special Euclidean group SE(3) is introduced to relate, for a soft continuum rob...
International audienceWe introduce a compactification of the group of rigid motions in 3-space deriv...
We provide a geometric rigidity estimate a ̀ la Friesecke-James-Müller for conformal matrices. Name...
This work investigates the geometry of the homogeneous representation of the group of proper rigid-b...
We identify a novel parameterization for the group of finite rotations (SO3), consisting of an atlas...
International audienceThe book explores the use of Lie groups in the kinematics and dynamics of rigi...
After revising known representations of the group of Euclidean displacements Daniel Klawitter gives ...
To advance the use of geometric algebra in practice, we develop computational methods for parameteri...
In this paper, we consider several parameterizations of rigid transformations using motors in 3-D co...
The motion rotors, or motors, are used to model Euclidean motion in 3D conformal geometric algebra. ...
Conformal transformations are described by rotors in the conformal model of geometric algebra (CGA)....
The classical Vahlen matrix representation of conformal transformations on R(n) is directly related ...
In this paper we present a novel method for nonlinear rigid body motion estimation from noisy data u...
In this paper we tackle the problem of constrained rigid body dynamics in the Conformal and Projecti...
Affine transformation (or geometric transformation) provides a mathematical foundation for shape man...
A Cayley map for the special Euclidean group SE(3) is introduced to relate, for a soft continuum rob...
International audienceWe introduce a compactification of the group of rigid motions in 3-space deriv...
We provide a geometric rigidity estimate a ̀ la Friesecke-James-Müller for conformal matrices. Name...
This work investigates the geometry of the homogeneous representation of the group of proper rigid-b...
We identify a novel parameterization for the group of finite rotations (SO3), consisting of an atlas...
International audienceThe book explores the use of Lie groups in the kinematics and dynamics of rigi...
After revising known representations of the group of Euclidean displacements Daniel Klawitter gives ...
To advance the use of geometric algebra in practice, we develop computational methods for parameteri...