Geometric Algebra Levenberg-Marquardt

Authors
Publication date 2019
Host editors
  • M. Gavrilova
  • J. Chiang
  • N. Magnenat Thalmann
  • E. Hitzer
  • H. Ishikawa
Book title Advances in Computer Graphics
Book subtitle 36th Computer Graphics International Conference, CGI 2019, Calgary, AB, Canada, June 17–20, 2019 : proceedings
ISBN
  • 9783030225131
ISBN (electronic)
  • 9783030225148
Series Lecture Notes in Computer Science
Event 36th Computer Graphics International Conference
Pages (from-to) 511-522
Publisher Cham: Springer
Organisations
  • Faculty of Science (FNWI) - Informatics Institute (IVI)
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.
Document type Conference contribution
Language English
Published at https://doi.org/10.1007/978-3-030-22514-8_51
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