In this paper we study the basic questions of existence, uniqueness, differentiability, analyticity and computability of the one dimensional center manifold of a parabolic-hyperbolic fixed point of a real-analytic map. We use the parameterization method, reducing the dynamics on the center manifold to a polynomial. We prove that the asymptotic expansions of the center manifold are of Gevrey typ...

This article presents one solution to the parameterization problem for automated road feature extraction models. Using a line-length buffer approach, a measure of agreement between extracted road features and reference road features is defined. An automated approach for deriving this agreement index is presented and implemented as a parameterization model. Coupling the implemented parameterizat...

Associated with a parameterization for the three-parameter lognormal distribution, algorithm was proposed by Komori and Hirose (2004), which can find a local maximum likelihood (ML) estimate surely if it exists. Nevertheless, by Vera and Dı́az-Garćıa (2008) it was shown that performance in finding a local ML estimate deteriorated by adopting the parameterization only and using other algorithm. I...

This paper presents a reference-based parameterization scheme for equation-based, objectoriented modeling languages such as Modelica. It is demonstrated, how simple language constructs can be designed that enable a general and powerful parameterization of models. Furthermore, the computational process required for this parameterization scheme is outlined. To validate our concepts, an experiment...

This paper looks at the motivation for simulating painting directly on 3D objects, and investigates the main issues faced by such systems. These issues include the provision of natural user interfaces, the reproduction of realistic brush effects and the surface parameterization for texture mapping so that the results of the painting can be stored on texture maps. The paper further investigates ...

This simulation serves us in two ways. First, it acts as further verification for the Level 2.5w convective scheme (the "convective engine" for the MCS parameterization). Second, diagnostic analyses guide us in the parameterization of the mesoscale circulations which comprise the fast (and perhaps some slow) manifold processes of an MCS. The diagnostics include conditional sampling of various q...

Taking advantage of the smoothness of CMB Cl power spectra, we derive a simple and model-independent parameterization of their measurement. It allows to describe completely the spectrum, i.e. provide an estimate of the value and the error for any real l point at the percent level, down to low l multipole. We provide this parameterization for WMAP first year data and show that the spectrum is co...