We Don’t Really Need Quaternions in Geometric Modeling, Computer Graphics and Animation: Here Is Why

Fuhua Cheng; T. Lee Johnson; Anastasia Kazadi; Ethan G. Toney; Jonathan I. Watson; Alice J. Lin

doi:10.14733/cadaps.2023.1061-1073

We Don’t Really Need Quaternions in Geometric Modeling, Computer Graphics and Animation: Here Is Why

Fuhua Cheng, T. Lee Johnson, Anastasia Kazadi, Ethan G. Toney, Jonathan I. Watson, Alice J. Lin

Producción científica: Article › revisión exhaustiva

Resumen

It has long been believed that quaternions are more efficient to use for 3D rotations than ordinary rotation approach. It is also commonly believed that the geometric meaning of quaternions is more obvious. One can also easily recover rotation axis and rotation angle from the representation of a rotation quaternion. In this paper we present important features of ordinary rotation that are critical in judging which technique should be used in a particular application. We show that everything quaternion rotation can do, ordinary rotation can do as well and, actually, more efficiently, including interpolation of rotations.

Idioma original	English
Páginas (desde-hasta)	1061-1073
Número de páginas	13
Publicación	Computer-Aided Design and Applications
Volumen	20
N.º	6
DOI	https://doi.org/10.14733/cadaps.2023.1061-1073
Estado	Published - 2023

Nota bibliográfica

Publisher Copyright:
© 2023 CAD Solutions, LLC.

Financiación

author is supported by the National Science Foundation of China Research work of the first author is supported by the National Science Foundation of China (61572020).

Financiadores	Número del financiador
National Natural Science Foundation of P.R. China	61572020

ASJC Scopus subject areas

Computational Mechanics
Computer Graphics and Computer-Aided Design
Computational Mathematics

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AU - Kazadi, Anastasia

AU - Toney, Ethan G.

AU - Watson, Jonathan I.

AU - Lin, Alice J.

PY - 2023

Y1 - 2023

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AB - It has long been believed that quaternions are more efficient to use for 3D rotations than ordinary rotation approach. It is also commonly believed that the geometric meaning of quaternions is more obvious. One can also easily recover rotation axis and rotation angle from the representation of a rotation quaternion. In this paper we present important features of ordinary rotation that are critical in judging which technique should be used in a particular application. We show that everything quaternion rotation can do, ordinary rotation can do as well and, actually, more efficiently, including interpolation of rotations.

KW - Computer Animation

KW - Computer Graphics

KW - Quaternion

KW - Rotation

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We Don’t Really Need Quaternions in Geometric Modeling, Computer Graphics and Animation: Here Is Why

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ASJC Scopus subject areas

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