Designing a rich repertoire of behaviors for virtual humans is an important problem for virtual environments and computer games. One approach to designing such a repertoire is to collect motion capture data and pre-process it to form a structure that can be walked in various orders to re-sequence the data in new ways. In such an approach identifying the… (More)
Using gauge invariant effective Lagrangians in 1 + 3 dimensions describing the Standard Model in 1 + 4 dimensions, we explore dynamical electroweak symmetry breaking. The Top Quark Seesaw model arises naturally, as well as the full CKM structure. We include a discussion of effects of warping, and indicate how other dynamical schemes may also be realized.
This paper develops methods for determining a visually appealing length for a motion transition, i.e., a segue between two sequences of character animation. Motion transitions are an important component in generating compelling animation streams in virtual environments and computer games. For reasons of efficiency and speed, linear interpolation is often… (More)
This article develops methods for determining visually appealing motion transitions using linear blending. Motion transitions are segues between two sequences of animation, and are important components for generating compelling animation streams in virtual environments and computer games. Methods involving linear blending are studied because of their… (More)
We construct a manifestly gauge invariant Lagrangian in 3 + 1 dimensions for N Kaluza-Klein modes of an SU(m) gauge theory in the bulk. For example , if the bulk is 4 + 1, the effective theory is Π N +1 i=1 SU(m) i with N chiral (m, m) fields connecting the groups sequentially. This can be viewed as a continuum limit of a Wilson action for a transverse… (More)
PREFACE Potential flows of incompressible fluids are solutions of the Navier-Stokes equations which satisfy Laplace's equations. The Helmholtz decomposition says that every solution of the Navier-Stokes equations can be decomposed into a rotational part and an irrotational part satisfying Laplace's equation. The irrotational part is required to satisfy the… (More)
A modelling approach for three-dimensional trajectories with particular application to hand reaching motions is described. Bézier curves are defined by control points which have a convenient geometrical interpretation. A fitting method for the control points to trajectory data is described. These fitted control points are then linked to covariates of… (More)
Let S be a monoid and let T be a submonoid of nite index in S. The main results in this paper state that S can be presented by a nite complete rewriting system if T can, and S has nite derivation type if T has.
We construct the manifestly gauge invariant effective Lagrangian in 3 + 1 dimensions describing the Standard Model in 4 + 1 dimensions, following the transverse lattice technique. We incorporate split generation fermions and we explore naturalness for two Higgs configurations: a universal Higgs VEV, common to each transverse brane, and a local Higgs VEV… (More)
Fir species are mainly distributed across the high latitudes, preferring cold climates. The phylogeographic origins of those subtropical fir species that occur in low latitudes in southern China remain elusive, as does the nature of any inter-lineage hybridization. In fir species, mitochondrial DNA (mtDNA) is maternally inherited and chloroplast DNA (cpDNA)… (More)