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The Geometry Algebra of Computer Vision

In: Geometric Algebra with Applications in Science and Engineering

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  • Eduardo Bayro Corrochano
  • Joan Lasenby

Abstract

In this chapter we present a mathematical approach for the computation of problems in computer vision which is based on geometric algebra. 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 recovery of shape and motion. We will mainly focus on the geometry of multiple uncalibrated cameras

Suggested Citation

  • Eduardo Bayro Corrochano & Joan Lasenby, 2001. "The Geometry Algebra of Computer Vision," Springer Books, in: Eduardo Bayro Corrochano & Garret Sobczyk (ed.), Geometric Algebra with Applications in Science and Engineering, chapter 0, pages 123-146, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4612-0159-5_7
    DOI: 10.1007/978-1-4612-0159-5_7
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