Read e-book online Geometric Algebra Applications Vol. I: Computer Vision, PDF

The target of the amount I Geometric Algebra for machine imaginative and prescient, snap shots  and Neural Computing is to offer a unified mathematical therapy of numerous difficulties within the basic area of man-made intelligence and linked fields utilizing Clifford, or geometric, algebra.

Geometric algebra offers a wealthy and basic mathematical framework for Geometric Cybernetics with a view to boost ideas, thoughts and laptop algorithms with out wasting geometric perception of the matter in query. present mathematical matters could be taken care of in an unified demeanour with out leaving behind the mathematical approach of geometric algebra for example: multilinear algebra, projective and affine geometry, calculus on manifolds, Riemann geometry, the illustration of Lie algebras and Lie teams utilizing bivector algebras and conformal geometry.

By treating a large spectrum of difficulties in a standard language, this quantity I deals either new insights and new options that are meant to be helpful to scientists, and engineers operating in numerous components comparable with the advance and construction of clever machines. each one bankruptcy is written in available phrases observed by means of quite a few examples, figures and a complementary appendix on Clifford algebras, all to explain the idea and the an important points of the applying of geometric algebra to difficulties in pics engineering, photograph processing, development reputation, laptop imaginative and prescient, computing device studying, neural computing and cognitive systems.

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Geometric Algebra Applications Vol. I: Computer Vision, Graphics and Neurocomputing

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