Consider a particle moving through a random medium, which consists of spherical obstacles, randomly distributed in R. The particle is accelerated by a constant external field; when colliding with an obstacle, the particle inelastically reflects. We study the asymptotics of X(t), which denotes the position of the particle at time t, as t → ∞. The result is a functional limit theorem for X(t).

We prove existence and a representation formula for solutions to the equations describing steady flows of an isothermal, viscous, compressible gas having a positive infimum for the density ̺, moving in an exterior domain, when the speed of the obstacle and the external forces are sufficiently small.

The detection of motion and moving objects or persons with stationary monocular cameras has been extensively studied. However, those techniques fail if the camera is moving itself. In this paper, we present a method for detecting and estimating the position of moving objects using a monocular camera that is mounted in front of a mobile robot platform. The position estimates are used for obstacl...

This paper presents an approach that how to locate and to detect obstacle or hurdles or the human being or any living being, using synthetic aperture radar (SAR). The paper consist of the acknowledgement of idea how to trace the any moving object on earth level or above the earth level bye using GMTI(Ground Moving Target Indicator) or synthetic aperture radar SAR. It is demonstrated that SAR pr...

A novel collision cone approach is proposed as an aid to collision detection and avoidance between irregularly shaped moving objects with unknown trajectories. It is shown that the collision cone can be effectively used to determine whether collision between a robot and an obstacle (both moving in a dynamic environment) is imminent. No restrictions are placed on the shapes of either the robot o...

In this paper, we present a novel motion-orientated path planning algorithm fo r real-time navigation of mobile agents. The algorithm works well in dynamical and un-configured environments, and is able to produce a collision-free, time -optimal motion trajectory in order to find a navigation path. In addition to the motion constraint path planning, our approach can deal with the unknown obstacl...

Needle insertion is commonly performed in minimally invasive medical procedures such as biopsy and radiation cancer treatment. During such procedures, accurate needle tip placement is critical for correct diagnosis or successful treatment. Accurate placement of the needle tip inside tissue is challenging, especially when the target moves and anatomical obstacles must be avoided. We develop a ne...

A vision-based system for detecting and classifying moving obstacles in a cluttered environment using a single camera mounted on a small unmanned aerial vehicle is presented. Feature correspondences between successive image frames are found using the SIFT algorithm, and a model of the background motion is generated by Random Sample Consensus (RANSAC). The transformed frames are then differenced...