For applications such as underwater monitoring a platform with a camera will be moving close to a large roughly planar scene. The idea to map the scene by stitching a panorama using planar homographies is nearby. However, serious problems occur with drift caused by uncertainty in the estimation of the matrices and un-modelled lens distortions. Sooner or later image points will be mapped to infi...

Automated and reliable 3D reconstruction of man-made structures is important for various applications in virtual reality, city modeling, military training, etc. This paper is concerned with the automated generation of Digital Building Models (DBM) associated with complex structures comprised of small parts with different slopes, sizes, and shapes, from a LiDAR point cloud. The proposed methodol...

This paper proposes πMatch, a monocular SLAM pipeline that, in contrast to current state-of-the-art feature-based methods, provides a dense Piecewise Planar Reconstruction (PPR) of the scene. It builds on recent advances in planar segmentation from affine correspondences (ACs) for generating motion hypotheses that are fed to a PEaRL framework which merges close motions and decides about multipl...

In this paper we present a motion based segmentation algorithm to automatically detect multiple planes from sparse optical ¤ow information. An optimal estimate for planar motion in the presence of additive Gaussian noise is £rst proposed, including directional uncertainty of the measurements (thus coping with the aperture problem) and a multi-frame (n > 2) setting (adding overall robustness). I...

The standard forward kinematics analysis of 3-RPR planar parallel robots boils down to computing the roots of a sextic polynomial. There are many different ways to obtain this polynomial but most of them include exceptions for which the formulation is not valid. Unfortunately, near these exceptions the corresponding polynomial exhibits numerical instabilities. In this paper, we provide a way ar...

The standard forward kinematics analysis of 3-RPR planar parallel platforms boils down to computing the roots of a sextic polynomial. There are many different ways to obtain this polynomial but all of them include exceptions for which the formulation is not valid. Unfortunately, near these exceptions the corresponding polynomial exhibits numerical instabilities. In this paper, we provide a way ...

motivating the perturbations of frames in hilbert and banach spaces, in this paper we introduce the invariance of fr'echet frames under perturbation. also we show that for any fr'echet spaces, there is a fr'echet frame and any element in these spaces  has a series expansion.

We present a novel approach to modelling the non-linear and timevarying dynamics of human motion, using statistical methods to capture the characteristic motion patterns that exist in typical human activities. Our method is based on automatically clustering the body pose space into connected regions exhibiting similar dynamical characteristics, modelling the dynamics in each region as a Gaussia...

Abstract We study the linear stability of a planar interface separating two fluids in relative motion, focusing on symmetric configuration where have same properties (density, temperature, magnetic field strength, and direction). consider most general case with arbitrary sound speed cs, Alfvén vA, orientation. For instability associated fast mode, we find that lower bound unstable shear velocit...

In this paper instability of planar anisotropic sheet metal during a few forming processes is investigated for the first time. For this reason components of the constitutive tangent tensor for planar anisotropic sheets are developed. By using the above tensor location of necking is predicted. Direction of the shear band is also predicted using the acoustic tensor. A finite element program is pr...