Abstract: In this letter, we propose and demonstrate a method for integration of rotations using nonunit quaternions. Unit quaternions are commonly used to represent rotation, in which case the ...

Abstract: Various algorithms derived from the errors-in-variables (EIV) model are always commonly used for estimating transformation parameters in 3-D point cloud registration, which is attributed to ...

Imagine winding the hour hand of a clock back from 3 o’clock to noon. Mathematicians have long known how to describe this rotation as a simple multiplication: A number representing the initial ...

The story of William Rowan Hamilton’s discovery of new four-dimensional numbers called quaternions is familiar. The solution of a problem that had bothered him for years occurred to him in a flash of ...

JUST as “one shove of the bayonet” was truly said to be more effective than any number of learned discussions on the art of war:— this really practical work, giving genuine quaternion solutions of new ...

Godot v4.3.stable - Debian GNU/Linux trixie/sid trixie - Wayland - Vulkan (Forward+) - dedicated AMD Radeon RX 7600 (RADV NAVI33) - AMD Ryzen 5 7600 6-Core Processor (12 Threads) If one has a model ...

SINCE the publication of Hamilton's “Elements of Quaternions,” in which the great mathematician developed his new calculus with admirable skill and clearness, more than thirty years have passed away, ...

Does ImGuizmo only support Euler angles? I have encountered a problem with Gimbal lock, which is causing me a headache. I hope it can support quaternions in the future. I tried to use quaternions to ...