Avoid gimbal lock, a common problem with Euler angles. More efficient and numerically stable than rotation matrices. Preferred in aerospace for representing and computing 3D orientations. A plot ...

RotEx is a set of python helper functions to apply 3D rotation, like Euler Angles etc, based on scipy.spatial.transform.Rotation. You can learn, understand and test Rotation quickly, and use these ...

Cell rotation is a fundamental technique in modern bioscience. For example, it enables three-dimensional (3D) observation of cellular structures and the 3D manipulations required in cellular surgery.

Abstract: We propose a novel quaternion product unit (QPU) to represent data on 3D rotation groups. The QPU leverages quaternion algebra and the law of 3D rotation group, representing 3D rotation data ...

Abstract: The pqr-coordinate in the mapping matrices model of Kim-Akagi developed in order to find a solution to the problems of harmonic caused by non-sinusoidal power system and non-linear loads.

Purdue faculty dedicate countless hours to exploring the frontiers of their respective fields, pushing the boundaries of knowledge and contributing to the ever-evolving landscape of academia. To ...

We study stationary homogeneous solutions to the 3D Euler equation. The problem is motivated by recent exclusions of self-similar blowup for Euler and its relation to the Onsager conjecture and ...