Many potential applications of computer vision require a 3D tracking system which can cope with very unpredictable, rapid motions of the camera while operating at frame rate. This cannot be achieved using previously available techniques. Robustness in tracking is achieved by combining different systems in a non trivial way. This allows trackers to be designed in such a way that they are not gen...

A new boundary force is proposed to solve rigid body interaction in SPH (Smoothed Particle Hydrodynamics). The new boundary force is impulse-based rather than potential-based. The impulse is converted to a boundary force with a fundamental observation that the impulse is a momentum change which is a result of a force acting on an object during a time interval. Our new impulse-based boundary for...

The State-Dependant Riccati Equation method has been frequently used to design suboptimal controllers applied to nonlinear dynamic systems. Different methods for local stability analysis of SDRE controlled systems of order greater than two such as the attitude dynamics of a general rigid body have been extended in literature; however, it is still difficult to show global stability properties of...

In the present paper we describe the dynamics of the revised rigid body, the dynamics of the rigid body with distributed delays and the dynamics of the fractional rigid body. We analyze the stationary states for given values of the rigid body’s parameters. Mathematics Subject Classification: 26A33, 53C63,58A05, 58A40.

Please note: This document is ©1997 by David Baraff. This chapter may be freely duplicated and distributed so long as no consideration is received in return, and this copyright notice remains intact.

This paper gives necessary and sufficient conditions for the (n-dimensional) generalized free rigid body to be in a state of relative equilibrium. The conditions generalize those for the case of the three-dimensional free rigid body, namely that the body is in relative equilibrium if and only if its angular velocity and angular momentum align, that is, if the body rotates about one of its princ...

‎the water wave generation by wave paddle and a freely falling rigid body are examined by using an incompressible smoothed particle hydrodynamics (isph)‎. ‎in the current isph method‎, ‎the pressure was evaluated by solving pressure poisson equation using a semi-implicit algorithm based on the projection scheme and the source term of pressure poisson equation contains both of divergence free ve...

It has been usual in most old-style text books for dynamics to treat the formulas describing linear(or translational) and angular(or rotational) motion of a rigid body separately. For example, the famous Newton’s 2nd law, f = ma, for the translational motion of a rigid body has its partner, so-called the Euler’s equation which describes the rotational motion of the body. Separating translation ...

This paper analyses the dynamic behavior of a rail vehicle using experimental and simulation analysis on multi-rigid–flex body model. The mathematical models are developed considering car body, bogie frame, wheel axle for vehicles rigid–flexible multi-rigid formulations, taking as rigid flexible flex–rigid analysis. A finite element model was in ANSYS, substructure modal were performed. is vali...