Expositions of the Euler equations for rotation a rigid body often invoke idea specially damped system whose energy dissipates while its angular momentum magnitude is conserved in frame. An attempt to explicitly construct such damping function leads more general, but still integrable, cubic trajectories are confined nested sets quadric surfaces space. For some choices parameters, lines fixed po...

A composite quadric model (CQM) is an object modeled by piecewise linear or quadric patches. We study the continuous detection problem of a special type of CQM objects which are commonly used in CAD/CAM, that is, the boundary surfaces of such a CQM intersect only in straight line segments or conic curve segments. We present a framework for continuous collision detection (CCD) of this special ty...

Some researchers have presented the application of radial basis function approximation to the evaluation of option contracts. In a previous study, the authors described the evaluation of Asian options by using radial basis function approximation. The numerical results indicated that the computational accuracy depended on the radial basis function and the reciprocal multi-quadric function was be...

In Part I ([2]) the authors introduced solid tangent sweeps and solid tangent clusters produced by sweeping a planar region S tangentially around cylinders. This paper extends [2] by sweeping S not only along cylinders but also around more general surfaces, cones for example. Interesting families of tangentially swept solids of equal height and equal volume are constructed by varying the cylind...

The topic of our research is unconstrained 0-1 quadratic programming. We find some properties of the Boolean Quadric Polytope, which is obtained from the standard linearization of the given 0-1 quadratic function. By using a result obtained by Deza and Laurent on a class of hypermetric inequalities for the Cut Polytope, we find a necessary and sufficient condition for a class of inequalities to...

Surface rendering or point location on a surface can easier be accomplished in an implicit rather than parametric representation This observation has been the key motivation for developing piecewise algebraic splines In particular Dahmen and Guo used triangular segments of quadrics to build tangent plane continuous surfaces interpolating the vertices of a trian gular net with prescribed normals...

The industrial manufacturing is making more widespread use of three-dimensional object recognition techniques. The shapes of many 3D objects can be described using some basic surface elements. Many of these basic surface elements are quadric surfaces, such as spheres and cylinders. For some industrial parts, the surface located at the junction of two other surface elements can often be regarded...

The Hilbert scheme of 3-folds in P, n ≥ 6, that are scrolls over P or over a smooth quadric surface Q ⊂ P or that are quadric or cubic fibrations over P is studied. All known such threefolds of degree 7 ≤ d ≤ 11 are shown to correspond to smooth points of an irreducible component of their Hilbert scheme, whose dimension is computed.