We study the problem of bringing a nonlinear single-input system to a normal form. We follow an approach of Kang and Krener based on studying, step by step, the action of homogeneous transformations on homogeneous terms of the system. The first part of the paper deals with systems whose linearization is controllable. We give explicit transformations bringing the system to a normal form proposed...

In this paper, we propose a streamlined framework of robust 3D acquisition for cultural heritage using both photometric stereo and photogrammetric information. An uncalibrated photometric stereo setup is augmented by a synchronized secondary witness camera co-located with a point light source. By recovering the witness camera’s position for each exposure with photogrammetry techniques, we estim...

In this paper, we consider characterizations based on the Bhattacharyya matrices. We characterize, under certain constraint, dis tributions such as normal, compound poisson and gamma via the diago nality of the 2 X 2 Bhattacharyya matrix.

The research presented in this thesis addresses the problem of updating an analytical model using a parametric Reference Basis approach. In this method, some parameters are assumed to be accurate (e.g. natural frequencies, mode shapes and mass matrix), while others are adjusted so that the eigenvalue equation is satisfied. Updating is done with the use of principal submatrices, and the method s...

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