For spline smoothing one can rewrite the smooth estimation as a linear mixed model (LMM) where the smoothing parameter appears as the variance of spline basis coefficients. Smoothing methods that use basis functions with penalization can utilize maximum likelihood (ML) theory in LMM framework ([8]). We introduce the minimum description length (MDL) model selection criterion in LMM and propose a...

Data fitting is a fundamental tool in scientific research and engineering applications. Generally, there are two ingredients in solving data fitting problems. One is the fitting representation, and the other is the fitting method. Nowadays, the fitting of larger and larger quantities of data sets requires more compact fitting representation and faster fitting methods. The T-spline is a recently...

In this paper, new digital predistortion (DPD) solutions for power amplifier (PA) linearization are proposed, with particular emphasis on reduced processing complexity in future 5G and beyond wideband radio systems. The first proposed method, referred to as the spline-based Hammerstein (SPH) approach, builds complex spline-interpolated lookup table (LUT) followed by a linear finite impulse resp...

We present a new fairing method for planar curves, which is particularly well suited for the regularization of the medial axis of a planar domain. It is based on the concept of total variation regularization. The original boundary (given as a closed B-spline curve or several such curves for multiply connected domains) is approximated by another curve that possesses a smaller number of curvature...

This invited contribution first reviews basic features of multivariate interpolation by radial basis functions, before selected of its advanced topics are addressed, including recent results concerning local polyharmonic spline interpolation. The latter is one main ingredient of a novel class of adaptive meshfree semi-Lagrangian methods for transport problems. The construction of these particle...

Computer-aided cloth design is one of the quite popular research themes in recent years, and the authenticity of it’s simulated result and the efficiency of simulation are two main research questions. The cloth behavior not only determines the authenticity of simulation, but also influences the efficiency of simulation. So 3D virtual clothing is simulated and rendered by the way of 2D patternin...