In this paper, we present an integrated framework with easy and effective techniques to generate new motions of a character in real-time, using only a short segment of motion data. In this framework, a sequence of segment copies are strung together and then smoothed by a transition method at a junction of two consecutive segments. We use IK thought for the transition to solve the foot-slide pro...

The Drazin inverse has important applications in matrix theory and fields such as statistics, probability, linear systems theory, differential and difference equations, Markov chains, and control theory ([1, 2, 11]). In [9], Koliha extended the Drazin invertibility in the setting of Banach algebras with applications to bounded linear operators on a Banach space. In this paper, Koliha was able t...

PROBE (Progressive Removal of Blur Residual) is a recursive framework for blind deblurring. Using the elementary modified inverse filter at its core, PROBE’s experimental performance meets or exceeds the state of the art, both visually and quantitatively. Remarkably, PROBE lends itself to analysis that reveals its convergence properties. PROBE is motivated by recent ideas on progressive blind d...

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Instantaneous poles are the spherical counterparts of instant centers; however, they are not completely used to study the kinematic behavior of spherical mechanisms. Instantaneous kinematics of a mechanism becomes undetermined when it is in a singular configuration (singularities); this indeterminacy has undesirable effects on static and motional behavior of the mechanism, so these configuratio...

We propose a novel Inverse Kinematics based deformation method that introduces flexibility and parameterization to motion graphs without degrading the quality of the synthesized motions. Our method deforms the transitions of a motion graph-like structure by first assigning to each transition a continuous rotational range that guarantees not to exceed the predefined global transition cost thresh...

It is proved that the Newton-Sabatier (NS) procedure is not a valid inversion method, in the following sense: 1) it is not possible to carry this procedure through for the phase shifts corresponding to a q ∈ L 1,1 such that ∞ 0 rq(r)dr = 0, where L 1,1 := {q : q = q, ∞ 0 r|q(r)|dr < ∞, 2) the ansatz (*) K(r, s) = ∞ l=0 c l ϕ l (r)u l (s), ∞ l=0 |c l | < ∞, similar to the one used in the NS proc...

We have measured the He(e, ep)H reaction at missing momenta of 130-300 MeV/c using the three-spectrometer facility at the Mainz microtron MAMI. Data were taken in perpendicular kinematics to allow us to determine the response function RLT and the asymmetry term ATL. The data are compared to both relativistic and non-relativistic calculations.

Suppose that one knows an accurate approximation to an eigenvalue of a real symmetric tridiagonal matrix. A variant of deflation by the Givens rotations is proposed in order to split off the approximated eigenvalue. Such a deflation can be used instead of inverse iteration to compute the corresponding eigenvector. © 2002 Elsevier Science Inc. All rights reserved.

I report results suggesting that it is possible to introduce laws of relativistic kinematics endowing different types of particles with suitably different deformed-Lorentz-symmetry properties. I also consider some possible applications of these results, among which I highlight those relevant for addressing a long-standing challenge in the description of composite particles, such as atoms, withi...