logo
科言猫学术研究的AI总结
language
手机端手机端
  • Phone Feature微信小程序
简体中文简体中文
notice消息通知
博客博客
delete
arrow
返回

Geodesic Least Mean Square algorithm for 3D tracking

delete2026-05-01
delete0
delete
OA
AI
O
Oumar Butt
C
Clive Cheong Took *
S
Sayed Pouria Talebi
D
Danilo Mandic
DOI：10.1016/j.dsp.2026.106210delete
delete原文链接
delete分享
delete收藏
查看原文
摘要

摘要

En 中文
四元数在三维旋转建模中广为人知。因此，它们已被考虑用于在需要曲率流形建模（例如在球面上）的方向应用中跟踪三维物体。然而，四元数值学习算法（如四元数最小均方算法）并不适用于曲率流形。为解决文献中的这一不足，我们提出了测地线最小均方算法。其创新性源于两个贡献。首先，代价函数基于四元数测地线距离，而非将误差的传统表述作为算术差。其次，其权重被建模为三维旋转，从而使其成为可解释的人工智能算法。对合成数据和真实数据的仿真研究支持了该方法。
Keyword:
quaternions
interpretable AI
least mean square
geodesic distance
3D orientations
AI总结

AI总结

对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。

期刊

D
Digital Signal Processing
IF:
3
论文数:
785
被引数:
0

机构

I
imperial college london
学者数:
9.9K
论文数: 4.4K
被引数: 0
U
university of london
学者数:
21.5W
论文数: 19.7W
被引数: 305
R
roehampton university
学者数:
880
论文数: 885
被引数: 0
学者 查看更多机构
引用论文

引用论文

Maximum Total Quaternion Correntropy for Adaptive Filtering
errIEEE Transactions on Signal Processing
IF0
err2022-01-01
err0
PREAI
errDongyuan Lin; Qiangqiang Zhang; Shanmou Chen; Shiyuan Wang
err分享
err收藏
The Quaternion LMS Algorithm for Adaptive Filtering of Hypercomplex Processes
errIEEE Transactions on Signal Processing
IF0
err2009-04-01
err0
errOAAI
errC.C. Took; D.P. Mandic
err分享
err收藏
Maximum Correntropy Quaternion Kalman Filter
errIEEE Transactions on Signal Processing
IF0
err2023-01-01
err0
PREAI
errDongyuan Lin; Qiangqiang Zhang; Xiaofeng Chen; Shiyuan Wang
err分享
err收藏
Animating rotation with quaternion curves
errACM SIGGRAPH Computer Graphics
IF0
err1985-07-01
err0
PREAI
errKen Shoemake
err分享
err收藏
Enabling quaternion derivatives: the generalized HR calculus
errRoyal Society Open Science
IF0
err2015-08-01
err0
errOAAI
errDongpo Xu; Cyrus Jahanchahi; Clive C. Took; Danilo P. Mandic
err分享
err收藏
Quaternions in Signal and Image Processing: A comprehensive and objective overview
errIEEE SIGNAL PROCESSING MAGAZINE
IF9.6
err2023-09-01
err16
errOAAI
errMiron, Sebastian; Flamant, Julien; Le Bihan, Nicolas; Chainais, Pierre; Brie, David
err分享
err收藏
A Quaternion Widely Linear Adaptive Filter
errIEEE Transactions on Signal Processing
IF0
err2010-08-01
err0
errOAAI
errClive Cheong Took; Danilo P. Mandic
err分享
err收藏
Quaternion to Euler angles conversion: A direct, general and computationally efficient method
errPLOS ONE
IF0
err2022-11-10
err0
errOAAI
errEvandro Bernardes; Stéphane Viollet
err分享
err收藏
Widely Linear Adaptive Filtering Based on Clifford Geometric Algebra: A unified framework [Hypercomplex Signal and Image Processing]
errIEEE SIGNAL PROCESSING MAGAZINE
IF9.6
err2024-03-14
err6
PREAI
errWang, Wenyuan; Dogancay, Kutluyil
err分享
err收藏
Augmented Statistics of Quaternion Random Variables: A lynchpin of quaternion learning machines
errIEEE SIGNAL PROCESSING MAGAZINE
IF9.6
err2024-05-01
err1
PREAI
errTook, Clive Cheong; Talebi, Sayed Pouria; Alcala, Rosa Maria Fernandez; Mandic, Danilo P.
err分享
err收藏
学者 查看更多内容