The trajectory of the impacting asteroid is another issue of considerable debate and still unresolved. Historically, circular plan views of impact craters confounded many investigators who assumed a circular crater requires a vertical impact. They wondered why more craters are not elliptical. Gilbert and Barringer both realized that 45° impacts are the most probable trajectories for meteoritic ...

The advent in recent years of robust, real-time, model-based tracking techniques for rigid and non-rigid moving objects has made automated surveillance and event recognition a possibility. We present a statistically based model of object trajectories which is learnt from image sequences. Trajectory data is supplied by a tracker using Active Shape Models, from which a model of the distribution o...

assertions IMPLEMENTATION

We consider the problem of trajectory prediction, where a trajectory is an ordered sequence of location visits and corresponding timestamps. The problem arises when an agent makes sequential decisions to visit a set of spatial locations of interest. Each location bears a stochastic utility and the agent has a limited budget to spend. Given the agent’s observed partial trajectory, our goal is to...

ion Refinement  Failed STE assertion  “real” counter example  something is really wrong  “spurious” counter example  too many X’s in the simulation  After spurious counter example Specification needs to be refined hard to know what kind Pitfall 1 & & OR multiplexer in0

Trajectory design for high-dimensional systems with nonconvex constraints is a challenging problem considered in this paper. Classical dynamic programming is often employed, but can only find a global optimal solution for low-dimensional problems. Recently, randomized techniques were introduced into trajectory design with considerable success; however, their performance is not reliable when pro...

This paper presents a model-based control design for trajectory tracking of two-wheeled mobile robots based on Linear Quadratic Regulator (LQR) optimal control. The model proposed in this article has been implemented on a computational model which is obtained from kinematic and dynamic relations of KHEPERA IV. The purpose of control is to track a predefined reference trajectory with the best po...

this paper presents a delay compensator fuzzy control for trajectory tracking of omni-directional mobile robots. fuzzy logic control (flc) of the robots is a suitable strategy for dealing with model uncertainties, nonlinearities and disturbances.  on the other hand, in many robotic applications such as mobile robots, delay phenomenon is able to substantially deteriorate the behavior of system's...