This paper describes a technique for animating in real time garments placed over an articulated character. In order to do this, the character to be dressed must be approximated using a hierarchy of ellipsoids. The pieces of clothing are represented using mass-spring particle systems. First the particles move following the ellipsoids; this is followed by the application of dynamic forces. Finall...

Technical reports from the Automatic Control group in Linkk oping are available by anonymous ftp at the address ftp.control.isy.liu.se. This report is contained in the compressed postscript le 2025.ps.Z. Abstract A method for computing invariant sets of piecewise aane systems is presented. The method is based on convex optimization techniques and linear matrix inequalities. We show how to compu...

We study an interrelation between the coverings generated by linear ( )–codes and complexity of their maximum-likelihood (ML) decoding. First, discrete ellipsoids in the Hamming spaces are introduced. These ellipsoids represent the sets of most probable error patterns that need to be tested in soft-decision ML decoding. We show that long linear ( )-codes surrounded by ellipsoids of exponential ...

Anisotropic pair correlations in ferrofluids exposed to magnetic fields are studied using a combination of statistical-mechanical theory and computer simulations. A simple dipolar hard-sphere model of the magnetic colloidal particles is studied in detail. A virial-expansion theory is constructed for the pair distribution function (PDF) which depends not only on the length of the pair separation...

A convex body K in R has around it a unique circumscribed ellipsoid CE(K) with minimum volume, and within it a unique inscribed ellipsoid IE(K) with maximum volume. The modern theory of these ellipsoids is pioneered by Fritz John in his seminal 1948 paper. This paper has two, related goals. First, we investigate the symmetry properties of a convex body by studying its (affine) automorphism grou...

Ahstraet-Simple shearing deformations of a viscoplastic block made of nonpolar and dipolar materials, and placed in a hard loading device are studied. Multiple defects in the block are modeled by perturbing the uniform temperature within the block when the material just starts deforming plastically to that given by a cosine function which assumes relative maximum values at several points in the...

Molecular dynamics simulations of translational motion of isolated prolate ellipsoids in the sea of spheres have been carried out for several different values of the aspect ratio ~k!, obtained by changing either the length or the diameter of the ellipsoids, at several different solvent densities. The interaction among the spheres is given by the Lennard-Jones pair potential while that between s...

Janus ellipsoids as mesoscale building blocks can aggregate into various micelle-like structures in solution that have potential applications in many fields such as novel surfactants, photonic crystals, drug delivery and biochemical sensors. In this work, we present a novel nonspherical-particle model to investigate the self-assembly of Janus ellipsoids, which quantitatively reflects interactio...