Quaternions in Computer Vision and Robotics

Computer vision and robotics suffer from not having good tools for manipulating three-dimensional objects. Vectors, coordinate geometry, and trigonometry all have deficiencies. Quaternions can be used to solve many of these problems. Many properties of quaternions that are relevant to computer visio...

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Bibliographic Details
Main Authors: Pervin, Edward, Webb, Jon A
Format: Report
Language:English
Subjects:
AUTOMATA
COMPUTER GRAPHICS
COMPUTER VISION
COORDINATES
DEFICIENCIES
GEOMETRY
MATHEMATICAL MODELS
QUATERNIONS
ROBOTS
Theoretical Mathematics
THREE DIMENSIONAL
TRANSFORMATIONS(MATHEMATICS)
TRIGONOMETRY
VECTOR ANALYSIS
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Summary:Computer vision and robotics suffer from not having good tools for manipulating three-dimensional objects. Vectors, coordinate geometry, and trigonometry all have deficiencies. Quaternions can be used to solve many of these problems. Many properties of quaternions that are relevant to computer vision and robotics are developed. Examples are given showing how quaternions can be used to simplify derivations in computer vision and robotics. (Author) Sponsored in part by DARPA.