Abstract
This chapter presents a mathematical approach based on geometric algebra for the computation of problems in computer vision. We will show that geometric algebra is a well-founded and elegant language for expressing and implementing those aspects of linear algebra and projective geometry that are useful for computer vision. Since geometric algebra offers both geometric insight and algebraic computational power, it is useful for tasks such as the computation of projective invariants, camera calibration, and the recovery of shape and motion. We will mainly focus on the geometry of multiple uncalibrated cameras.
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© 2001 Springer Science+Business Media New York
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Corrochano, E.B. (2001). Geometric Algebra of Computer Vision. In: Geometric Computing for Perception Action Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0177-6_4
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DOI: https://doi.org/10.1007/978-1-4613-0177-6_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6535-1
Online ISBN: 978-1-4613-0177-6
eBook Packages: Springer Book Archive