Tracking bolus peak position is a crucial issue for computed tomography angiography(CTA). In this paper, a local maximum tracking method is proposed and tested using real patient data. The method uses a second order polynomial to approximate bolus density function locally. By estimating the local maximum density position at next sampling time, bolus peak trajectory is closely followed. Experime...

in this paper, the range doppler algorithm (rda) for synthetic aperture radar moving on a ballistic trajectory is presented. the 3-dimension acceleration and non-uniform trajectory cause decreases in efficiency of conventional imaging algorithms. in this paper, the analytical expression for the 2-d signal spectrum for ballistic trajectory using taylor series expansion and series reversion is de...

These informal reminiscences, presented at the ICTP 2002 Conference on algebraic Ktheory, recount the trajectory in the author’s early research, from work on the Serre Conjecture (on projective modules over polynomial algebras), via ideas from algebraic geometry and topology, to the ideas and constructions that eventually contributed to the founding of algebraic K-theory. The solution of the Co...

Using (max, +) algebra, this paper presents a modeling and an analysis method of P-time Event Graphs whose behaviors are defined by lower and upper bound constraints. On the hypothesis of liveness of Event Graphs, consistency is defined by the existence of a temporal trajectory. The extremal trajectories starting from an initial interval are deduced by two dual polynomial algorithms based on a ...

Inverse solutions to interpolation techniques in computer graphics may increase the accuracy of the rendered frames. An example is the use of an arbitrary time stamp in time interpolation to evaluate the t-parameter, which in turn can be used for time-variant spatial interpolation. In this paper, an analytic inverse is presented for a shape-preserving piecewise cubic Hermite interpolant, used i...

In this paper we present recent results on parametric analysis of biological models. The underlying method is based on the algorithms for computing trajectory sets of hybrid systems with polynomial dynamics. The method is then applied to two case studies of biological systems: one is a cardiac cell model for studying the conditions for cardiac abnormalities, and the second is a model of insect ...

the main attempt of this article is extension the method so that it generallywould be able to consider the classical solution of the systems and moreover,produces the optimal trajectory and control directly at the same time. there-fore we consider a control system governed by a bone marrow cancer equation.next, by extending the underlying space, the existence of the solution is con-sidered and ...

To reduce the navigation control cost, this paper proposes a mechanical guidance scheme that uses cam-link mechanism as steering for an automated guided vehicle with fixed driving path. According to principle, mathematical model of system and trajectory are established. By setting boundary conditions, is modeled using quintic polynomial. The contour directional cam obtained based on equation tr...

‎this paper obtains the exact solutions of the wave equation as a second-order partial differential equation (pde)‎. ‎we are going to calculate polynomial and non-polynomial exact solutions by using lie point symmetry‎. ‎we demonstrate the generation of such polynomial through the medium of the group theoretical properties of the equation‎. ‎a generalized procedure for polynomial solution is pr...