Effective Inertial Hand Gesture Recognition Using Particle Filtering Based Trajectory Matching by Zuocai Wang, Bin Chen, Jin Wu

“…A particle filter (PF) is employed to estimate the attitude quaternion from gyroscope, accelerometer, and magnetometer sensors. …”
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On forbidden subgraphs of main supergraphs of groups by Xiaoyan Xu, Xiaohua Xu, Jin Chen, Shixun Lin

“…Our classification extends to finite groups $ G $ with $ \mathcal{S}(G) $, a cograph that includes when $ G $ is a direct product of two non-trivial groups, as well as when $ G $ is either a dihedral group, a generalized quaternion group, a symmetric group, an alternating group, or a sporadic simple group.…”
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Multicooperation of Turtle-inspired amphibious spherical robots by Liang Zheng, Yuke Ma, Hui Yu, You Tang

“…First, a novel underwater kinematic model using the unit quaternion (UQ) algorithm is proposed based on attitude interpolation to realize MDOF movement. …”
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Nonlinear Extended Kalman Filter for Attitude Estimation of the Fixed-Wing UAV by Tang Xiaoqian, Zhao Feicheng, Tang Zhengbing, Wang Hongying

“…., Euler angle (EA) and INS/unit quaternion (UQ) simultaneously. These filters, EA-UKF and INS-CKF, use the nonlinear process and measurement model. …”
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Navier-Stokes: Singularities and Bifurcations by Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales

“…Through new theorems, we extend the theory of singularities in fluid dynamics and introduce quaternionic bifurcations, representing an innovative extension of classical bifurcation theory. …”
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A New Double Color Image Watermarking Algorithm Based on the SVD and Arnold Scrambling by Ying Li, Musheng Wei, Fengxia Zhang, Jianli Zhao

“…In the process of the algorithm, we only need to perform real number algebra operations, which have very low computational complexity and are more effective than the one using the quaternion SVD of color image.…”
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WIMUSim: simulating realistic variabilities in wearable IMUs for human activity recognition by Nobuyuki Oishi, Phil Birch, Daniel Roggen, Paula Lago

“…Using these parameters, WIMUSim simulates virtual IMU through differentiable vector manipulations and quaternion rotations. A key novelty enabled by this approach is the identification of WIMUSim parameters using recorded real IMU data through gradient descent-based optimization, starting from an initial estimate. …”
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