We study the inverse scattering problem for a Schrödinger operator related to static wave with variable velocity, using GLM (Gelfand–Levitan–Marchenko) integral equation. assume have noisy data, and we derive stability estimate error of solution equation by showing invertibility between suitable function spaces. To regularise problem, formulate variational total least squares show that, under c...

This paper introduces a model-based approach to capturing a persons shape, appearance and movement. A 3D animated model of a clothed persons whole-body shape and appearance is automatically constructed from a set of orthogonal view colour images. The reconstructed model of a person is then used together with the least-squares inverse-kinematics framework of Bregler et al. [4] to capture simple ...

This paper presents the robust localization of an omnidirectional mobile robot using a regular polygonal array of optical mice that are installed at the bottom of a mobile robot. First, the basic principle of the proposed localization scheme is explained. Second, the velocity kinematics from a mobile robot to an array of optical mice is derived as an overdetermined linear system. Third, for a g...

This paper presents the latest advances we made in static and dynamic locomotion with our compliant quadrupedal robot StarlETH. We outline a hierarchical task-space inverse dynamics framework based on least square optimization that allows for simple generation of complex robot behaviors and simultaneous optimization of joint torque and contact force objectives. Strong focus is put on experiment...

This paper compares two adaptive methods of de-convolving the instrument responses from seismic events against the standard single-degree-of-freedom (SDOF) method. The Least Mean Squares (LMS) algorithm and the square root, Recursive Least Squares (RLS) algorithm are considered and investigated using three seismic events. Both adaptive methods do not assume any knowledge of instrument data, but...