A Note on Rotation Matrices

TL;DR: In this paper, the influence of real weights on rational motion design has been investigated and it has been shown that the effect of real weight on the resulting motion is similar to that of a rational Bezier curve and how the change in dual part of a dual number weight affects the translational component of the motion.

TL;DR: This paper sets forth an approach to robotic kinematics that brings together the use of matrix exponentiation and dual numbers, and shows that a screw displacement can be represented by the exponential of a dual skew-symmetric matrix.

TL;DR: A novel approach to compute the camera pose with respect to a reference object given only mirrored views, which enables mirror-based pose estimation in closed-form under the chordal L2-metric, or in an outlier-robust way by employing iterative L1-norm averaging.

TL;DR: An analysis based on Lie algebra for exploring possible definitions of three-dimensional (3D) orientation vectors and for unifying representations of position and orientation is presented.

TL;DR: In this paper, the authors present an introduction to the mathematical theory underlying computer graphic applications, including transformations, projections, 2-D and 3-D curve definition schemes, and surface definitions.