The Modal Phase Collinearity (MPC) is a modal indicator designed to decide whether the mode shape used in its computation real or complex-valued vector. Its estimate inherits statistical properties of corresponding estimate. While framework for uncertainty quantification parameters well-known and developed context subspace-based system identification methods, MPC has not been carried out yet. I...

We present a calibration method for multi-view cameras which provides a rigorous maximum-likelihood estimation of the mutual orientation of the cameras within a rigid multi-camera system. No calibration targets are needed just a movement of the multi-camera system taking synchronized images of a high textured and static scene. Multi-camera systems with non-overlapping views have to be rotated w...

INTRODUCTION The DLT (Direct Linear Transformation) algorithm, the most frequently used calibration algorithm, is based on the so-called collinearity condition; i.e. the object, image, and projection center form a straight line. This condition, however, does not hold in an underwater analysis setting due to the nonlinear image deformation caused by refraction at the water-air interface (Figure ...

The notion of homogeneous barycentric coordinates provides a powerful tool of analysing problems in plane geometry. In this paper, we explain the advantages over the traditional use of trilinear coordinates, and illustrate its powerfulness in leading to discoveries of new and interesting collinearity relations of points associated with a triangle.