Patchy distribution fields: sampling distance unit and reconstruction adequacy

3D Reconstruction From Non-Euclidian Distance Fields

Figure 1: Left: Naive reconstruction by linear interpolation of 2D Euclidian distances to aliased (i.e. binary) input contours of a two-headed dragon. Note the semi-transparent image plane corresponding to one of the horizontal sampling planes. Middle: Our improved spline interpolation of Non-Euclidian distances. Right: Hight-field representations of the two distance fields shown as semi-transp...

Stability Rates for Patchy Vector Fields

This paper is concerned with the stability of the set of trajectories of a patchy vector field, in the presence of impulsive perturbations. Patchy vector fields are discontinuous, piecewise smooth vector fields that were introduced in Ancona and Bressan (1999) to study feedback stabilization problems. For patchy vector fields in the plane, with polygonal patches in generic position, we show tha...

Sampling-Reconstruction Procedure of Gaussian Fields with Jitter

The description of the optimal Sampling – Reconstruction Procedure of Gaussian fields with jitter is given on basis of the conditional mean rule when the quantity of samples is limited. We analyse the case when the jitter is only presented in some samples. The jitter of each sample is independent and can have the same or different distribution law. We apply the statistical average to the condit...

Coloured signed distance fields for full 3D object reconstruction

We propose a novel 3D object reconstruction framework that is able to fully capture the accurate coloured geometry of an object using an RGB-D sensor. Building on visual odometry for trajectory estimation, we perform pose graph optimisation on collected keyframes and reconstruct the scan variationally via coloured signed distance fields. To capture the full geometry, we conduct multiple scans w...

Distance Sampling