Title

An Intuitive Algorithm for Rotation about an Arbitrary Axis

Abstract

Transformations are integral part of graphics programs for visualization. Rotation transformations allow viewing objects from different angles. Rotations about the principal axes are straightforward whereas the rotation about an arbitrary axis is complex. We present a new algorithm simpler than the existing techniques for creating arbitrary rotation matrix. It builds upon the change of basis instead of a sequence of rotations based on the angles it makes with the principal axes/planes. We compare it with the existing proofs. Finally, we give an example by creating an axis interactively and 3D object created by rotation a mouse drive polygonal curve. The application developers and practitioners will find this intuitive and simpler algorithm useful.

Meeting Name

2017 International Conference on Soft Computing and its Engineering Applications, icSoftComp 2017 (2017: Dec. 1-2, Changa, India)

Department(s)

Computer Science

Keywords and Phrases

Mathematical transformations; Soft computing; Application developers; Arbitrary axis; Arbitrary rotation; Coordinate frames; Graphics programs; Polygonal curve; Rotation transformation; SIMPLER algorithms; Rotation; Transformations

International Standard Book Number (ISBN)

978-1-5386-2053-3

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2017 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

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