The matrix representation has at least the following disadvantages: SO(3) has a rotation matrix of 9 quantities, but a 3D rotation only has 3 degrees of freedom. Therefore the matrix expression is ...

Simulation is done using programs created by a dynamics code generator SDFAST. You don't need to worry about that, and the SDFAST part is easy to replace if you want. Quaternions in the high level ...

I am creating bounding boxes from pointcloud clusters. I am using orientated bounding boxes. Rotating the bounding box by its transposed Rotation matrix will align it with the axes (I know ...

Abstract: The relations for determination of rotation vectors of the electromagnetic field χ and χ′ in a stationary inhomogeneous dielectric medium are obtained. They expand the area of theoretical ...

Find quick revision notes of unit Vectors and 3D Geometry. This revision notes include important terms and formulae from these two chapters. At the time of examination this revision note will prove to ...

We saw previously how to represent 2D vectors on the \(xy\) plane. Now, we will extend this to look at 3D vectors using the \(xyz\) plane. 3D coordinates are used, for example, by air traffic ...

Abstract: Differential evolution (DE) is confirmed as a simple yet efficacious methodology to solve practical optimization problems. In this paper, we develop a new rotating crossover operator (RCO), ...