Displaying similar documents to “Numerical algorithm for the computation of the slip-line field”

Contact problem of two elastic bodies. III

Vladimír Janovský, Petr Procházka (1980)

Aplikace matematiky

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The goal of the paper is the study of the contact problem of two elastic bodies which is applicable to the solution of displacements and stresses of the earth continuum and the tunnel wall. In this first part the variational formulation of the continuous and discrete model is stated. The second part covers the proof of convergence of finite element method to the solution of continuous problem while in the third part some practical applications are illustrated.

Straight-lines modelling using planar information for monocular SLAM

André M. Santana, Adelardo A.D. Medeiros (2012)

International Journal of Applied Mathematics and Computer Science

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This work proposes a SLAM (Simultaneous Localization And Mapping) solution based on an Extended Kalman Filter (EKF) in order to enable a robot to navigate along the environment using information from odometry and pre-existing lines on the floor. These lines are recognized by a Hough transform and are mapped into world measurements using a homography matrix. The prediction phase of the EKF is developed using an odometry model of the robot, and the updating makes use of the line parameters...

Fast and Robust Orientation of Cryo-Electron Microscopy Images

Guoliang Xu, Xia Wang, Ming Li, Zhucui Jing (2015)

Molecular Based Mathematical Biology

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We present an efficient and reliable algorithm for determining the orientations of noisy images obtained fromprojections of a three-dimensional object. Based on the linear relationship among the common line vectors in one image plane, we construct a sparse matrix, and show that the coordinates of the common line vectors are the eigenvectors of the matrix with respect to the eigenvalue 1. The projection directions and in-plane rotation angles can be determined fromthese coordinates. A...