Many run-to-run (RtR) control methods have been developed in recent years. Two particular set-valued RtR control schemes based on the Dasgupta-Huang Optimal Bounded Ellipsoid (DHOBE) algorithm are introduced. Compared to other RtR control schemes, the methods in this paper only need to know the bound of the noises, and are easy to implement. The DHOBE algorithm, for each recursion, returns an o...

A deterministic attitude estimation problem for a rigid body in a potential field, with bounded attitude and angular velocity measurement errors is considered. An attitude estimation algorithm that globally minimizes the attitude estimation error is obtained. Assuming that the initial attitude, the initial angular velocity and measurement noise lie within given ellipsoidal bounds, an uncertaint...

This paper is aimed at introducing a faster collision detection algorithm for convex polyhedral in a three-dimensional workspace. The problem of collision detection has been researched in the literature of computer graphics, robotics, computational geometry, computer animation, and physically-based modeling. It has been regarded as a computationally demanding task and is often treated as an adv...

The paper introduced an efficient collision detection method for convex polyhedra in a three -dimensional workspace. In cooperation with the enclosing and the enclosed ellipsoids of convex polyhedra, potential collisions can be detected more accurate than those methods using only bounding ellipsoids for object representation, and more efficient than the polyhedral methods. An approach for compu...

In this paper, a novel adaptive all-hexahedral (all-hex) mesh generation algorithm is proposed based on a hybrid octree. This hybrid octree consists of polyhedral cells and each grid point is always shared by eight cells by using a cutting procedure. A dual mesh with all-hex elements is then extracted by analyzing each grid point. Next, sphere or ellipsoid bubble packing is applied to improve t...

This paper addresses the set-membership filtering problem for a class of discrete time-varying systems with sensor saturation in the presence of unknown-but-bounded process and measurement noises. A sufficient condition for the existence of set-membership filter is derived. A convex optimisationmethod is proposed to determine a state estimation ellipsoid that is a set of states compatiblewith s...

This paper is a short didactical introduction to Linear Programming (LP). The main topics are: formulations, notes in convex analysis, geometry of LP, simplex method, duality, ellipsoid algorithm, interior point methods.

We show the linear convergence of a simple first-order algorithm for the minimum-volume enclosing ellipsoid problem and its dual, the D-optimal design problem of statistics. Computational tests confirm the attractive features of this method.

Due to the equivalent relation between UAV target tracking in practice and state estimation academy, this paper concentrates on its application tracking. To relax strict assumption white noise for classical Kalman filter, we consider more general bounded noise, being included an ellipsoid. Then better understanding our proposed ellipsoidal estimation, three continuous processes are shown sequen...

In this study, a method for reconstructing ellipsoids from its three projection contours is described. The line integral projection of elipsoid with uniform density is developed for any projection view. Our reconstruction algorithm starts from the detecting projection contours that has elliptic shape. Then three sets of estimated ellipse parameters are used in reconstructing the ellipsoid. The ...