May 11, 2020 · The goal of this paper is to give and analyze algorithms for manipulating quaternions in floating-point arithmetic. The setting is the ...
Abstract: Quaternions form a set of four global but not unique parameters, which can represent three-dimensional rotations in a non-singular way.
The goal of this paper is to give and analyze algorithms for manipulating quaternions in floating-point arithmetic. The setting is the following: we assume ...
Quaternions form a set of four global but not unique parameters, which canrepresent three-dimensional rotations in a non-singular way.
These results establish a systematic and general methodology to develop quaternion-domain algorithms for convex and nonconvex quaternion optimization problems.
Jul 31, 2022 · One solution I can think of is to represent each of the 4 elements of the quaternion as a pair of machine-representable floating-point numbers.
Apr 26, 2021 · I know that there are smarter ways to compute the rotation of a vector v by a unit quaternion q than directly applying the qx [v, 0] xq* formula.
Jul 31, 2016 · I need to find a way to do some quaternions operations on GPU. (Such as the product of a vector of quaternions with an other vector of quaternions).
Missing: Manipulating Arithmetic.
Aug 6, 2022 · This article demonstrates how to use quaternions for practical applications. In it, we build intuition about how to use them as building blocks to solve ...
Quaternions have some advantages over matrices. For example, they're smaller: A 3 x 3 matrix of floats is 48 bytes, and a single-precision quaternion is 16 ...