回転推定arXiv:2411.13109
回転推定のための特殊ユニタリパラメータ化推定器
Special Unitary Parameterized Estimators of Rotation
SU(2)を用いてWahba問題を再定式化し、クォータニオンパラメータの線形制約を導出するとともに、ニューラルネットワークで回転を学習するための2つの新しい連続表現を提案した。
分類: cs.RO
原文アブストラクト
This paper revisits the topic of rotation estimation through the lens of special unitary matrices. We begin by reformulating Wahba's problem using $SU(2)$ to derive multiple solutions that yield linear constraints on corresponding quaternion parameters. We then explore applications of these constraints by formulating efficient methods for related problems. Finally, from this theoretical foundation, we propose two novel continuous representations for learning rotations in neural networks. Extensive experiments validate the effectiveness of the proposed methods.