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2019 | OriginalPaper | Chapter

Geometric Algebra Levenberg-Marquardt

Authors : Steven De Keninck, Leo Dorst

Published in: Advances in Computer Graphics

Publisher: Springer International Publishing

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Abstract

This paper introduces a novel and matrix-free implementation of the widely used Levenberg-Marquardt algorithm, in the language of Geometric Algebra. The resulting algorithm is shown to be compact, geometrically intuitive, numerically stable and well suited for efficient GPU implementation. An implementation of the algorithm and the examples in this paper are publicly available.

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previous chapter Gajit: Symbolic Optimisation and JIT Compilation of Geometric Algebra in Python with GAALOP and Numba

next chapter Transverse Approach to Geometric Algebra Models for Manipulating Quadratic Surfaces

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Title: Geometric Algebra Levenberg-Marquardt
Authors: Steven De Keninck
Leo Dorst
Publisher: Springer International Publishing
Book: Advances in Computer Graphics
Print ISBN: 978-3-030-22513-1

Electronic ISBN: 978-3-030-22514-8

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-3-030-22514-8_51

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