To investigate the boundary layer dynamics of the coastal megacity Shanghai, China, backscatter data measured by a Vaisala CL51 ceilometer are analyzed with a modified ideal curve fitting algorithm. The boundary layer height zi retrieved by this method and from radiosondes compare reasonably overall. Analyses of mobile and stationary ceilometer data provide spatial and temporal characteristics ...

the isogeometric analysis is increasingly used in various engineering problems. it is based on non-uniform rational b-splines (nurbs) basis function applied for the solution field approximation and the geometry description. one of the major concerns with this method is finding an efficient approach to impose essential boundary conditions, especially for inhomogeneous boundaries. the main contri...

An accelerated algorithm for lane boundary detection is described. It combines random search with the chi-square fitting to obtain the best set of parameters of a deformable template. The lane boundaries found in a grey level image are modelled via deformable templates. To find the best fitting template a likelihood function is used. It is based on the degree of match (in magnitude and directio...

boundary integral equations (bie) are reformulations of boundary value problems for partial differential equations. there is a plethora of research on numerical methods for all types of these equations such as solving by discretization which includes numerical integration. in this paper, the neumann problem is reformulated to a bie, and then moving least squares as a meshless method is describe...

The classical curve-fitting problem to relate two variables, x and y, deals with polynomials. Generally, this is solved by the least squares method (LS), where minimization function considers vertical errors from data points fitting curve. Another total (TLS), which takes into account in both y variables. A further orthogonal distances (OD), minimizes sum of In work, we develop OD for polynomia...

A procedure is presented to fit gridded molecular properties to auxiliary basis sets (ABSs) of Hermite Gaussians, analogous to the density fitting (DF) method (Dunlap; et al. J. Chem. Phys. 1979, 71, 4993). In this procedure, the ab initio calculated properties (density, electrostatic potential, and/or electric field) are fitted via a linear- or nonlinear-least-squares procedure to auxiliary ba...