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We propose a method for fitting a piecewise parametric curve to a sequence of digitized points such as those acquired from a computer mouse or digitizing pen. The fitting is done on-the-fly rather than after a complete sequence of points has been acquired, thereby providing high quality parameterized curves for immediate display during drawing. The method is fast, accurate, and robust, handles ...

Shear-wave velocity ( ) is an important parameter used for site characterization in geotechnical engineering. However, dispersion curve inversion is challenging for most inversion methods due to its high non-linearity and mix-determined trait. In order to overcome these problems, in this study, a joint inversion strategy is proposed based on the particle swarm optimization (PSO) algorithm. The ...

We report theoretical investigations of the tomographic procedure suggested by Itatani et al. Nature London 432, 867 2004 for reconstructing highest occupied molecular orbitals HOMOs using high-order harmonic generation HHG . Due to the limited range of harmonics from the plateau region, we found that even under the most favorable assumptions, it is still very difficult to obtain accurate HOMO ...

The paper addresses the task of fitting a morphable head model to a dense, unstructured and untextured point cloud. The problem is typically approached in a multi-step process, comprising of generic nonrigid registration, conversion to the model’s topology and fitting of the model. Here, a direct approach is proposed where the morphable model is fitted to the point cloud itself in an optimizati...

Fitting of conics to a set of points is a well researched area and is used in many fields of science and engineering. Least squares methods are one of the most popular techniques available for conic fitting and among these, orthogonal distance fitting has been acknowledged as the ’best’ least squares method. Although the accuracy of orthogonal distance fitting is unarguably superior, the proble...

Iterative numerical procedures for the estimation of variance and covariance components for unbalanced designs were developed in the 1980s and were implemented in software packages such as MLWIN, SAS PROC MIXED and HLM. At the same time, interest in latent variables, that is, variables that cannot be directly observed or can only imperfectly be observed, led to the theory providing for the defi...