This paper addresses the problem of motion synchronization (or averaging) and describes a simple, closedform solution based on a spectral decomposition, which does not consider rotation and translation separately but works straight in SE(3), the manifold of rigid motions. Besides its theoretical interest, being the first closed form solution in SE(3), experimental results show that it compares ...

Abstract A closed‐form solution for localising and synchronising an acoustic sensor node with respect to a Wireless Acoustic Sensor Network (WASN) is presented. The aim allow efficient scaling of WASN by individually calibrating newly joined nodes instead recalibrating the entire array. key contribution that be calibrated does not need include built‐in emitter. proposed method uses signals emit...

A direct linear closed-form solution followed by Jacobian optimization is proposed to solve AX=XB for hand-eye calibration. The approach does not require A,B satisfying rigid transformation rather than the classic ones based on quaternion algebra or screw rule, so the technique is more flexible. Rigid deduction and demonstration are given based on matrix theory. Computer simulation and real dat...

This article deals with the free vibration analysis and determination of the seismic parameters of a sloping-frame which consists of three members; a horizontal, a vertical, and an inclined member. The both ends of the frame are clamped, and the members are rigidly connected at joint points. The individual members of the frame are assumed to be governed by the transverse vibration theory of an ...