Geometric Algebra Levenberg-Marquardt

被引：5

作者：

De Keninck, Steven ^{[1
]}

Dorst, Leo ^{[2
]}

机构：

[1] Matrix Factory, Hingene, Belgium

[2] Univ Amsterdam, Amsterdam, Netherlands

来源：

ADVANCES IN COMPUTER GRAPHICS, CGI 2019 | 2019年 / 11542卷

关键词：

Geometric Algebra; Levenberg-Marquardt; Automatic differentiation; Non-linear estimation;

D O I：

10.1007/978-3-030-22514-8_51

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

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.

引用

页码：511 / 522

页数：12

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