We present a self–consistent nonparametric model of the cosmic velocity field based on the spatial distribution of IRAS galaxies in the recently completed all–sky PSCz redshift survey. The dense sampling of PSCz galaxies allows us to infer peculiar velocities field up to large distances with unprecedented high resolution. The most streaking feature of the PSCz model velocity field is a coherent...

Analyses of peculiar velocity surveys face several challenges, including low signal–to–noise in individual velocity measurements and the presence of small–scale, nonlinear flows. I will present three new analyses that attempt to address these inherent problems. The first is geared towards the better understanding of the estimated errors in the surveys, specifically sampling errors, and the reso...

Geometric methods from dynamical systems are used to study Lagrangian transport in numerically-generated, time-dependent, two-dimensional vector elds. The ows analyzed here are numerical solutions to the barotropic, -plane, potential vorticity equation with viscosity, where the pde parameters have been chosen so that the solution evolves to a meandering jet. Numerical methods for approximating ...

Article history: Received 31 October 2010 Available online 18 May 2012 Communicated by S. Sarkar

We explore a connection of the forced Burgers equation with the Schrödinger (diffusive) interpolating dynamics in the presence of deterministic external forces. This entails an exploration of the consistency conditions that allow to interpret dispersion of passive contaminants in the Burgers flow as a Markovian diffusion process. In general, the usage of a continuity equation ∂ t ρ = −∇(vρ), wh...

S U M M A R Y We present a spherical wavelet-based multiscale approach for estimating a spatial velocity field on the sphere from a set of irregularly spaced geodetic displacement observations. Because the adopted spherical wavelets are analytically differentiable, spatial gradient tensor quantities such as dilatation rate, strain rate and rotation rate can be directly computed using the same c...

This paper addresses the control of robotic manipulators using the velocity field approach. Instead of the usual specification in motion robot control via desired position trajectories depending on time, the specification in the velocity field control formulation is given through a desired velocity vector field as a function of actual position regardless of time. This approach is useful for con...

The present note deals with large time properties of the Lagrangian trajectories of a turbulent flow in IR and IR. We assume that the flow is driven by an incompressible time-dependent random velocity field with Gaussian statistics. We also assume that the field is homogeneous in space and stationary and Markovian in time. Such velocity fields can be viewed as (possibly infinite dimensional) Or...

We present a velocity-map imaging (VMI) setup for photoelectron imaging that utilizes low electric extraction fields. This avoids any complications that could arise from electrostatic interactions between the extraction field and the molecular properties that are probed and has a minimal effect on the trajectory of ions in ion beam experiments. By using an attractive potential supplied to the d...

T. Landelius, L. Haglund, H. Knutsson Computer Vision Laboratory Link oping University, S-581 83 Linkoping Sweden tel. +46 13 28 26 51, fax. +46 13 13 85 26, email: [email protected] Abstract This paper presents an algorithm for retrieving depth and velocity by estimating the 3D-orientation in an image sequence under the assumption of pure translation of the camera in a static scene. Quantitative...