The progressive and iterative approximation (PIA) method is an efficient and intuitive method
for data fitting. However, in the classical PIA method, the number of the control points is …

Geometric iterative methods (GIM), including the progressive–iterative approximation (PIA)
and the geometric interpolation/approximation method, are a class of iterative methods for …

We present a new and efficient method for weighted progressive iteration approximations of
data points by using normalized totally positive bases. Compared to the usual progressive …

Localization in Wireless Sensor Networks (WSNs) has been an active topic for more than
two decades. A variety of algorithms were proposed to improve the localization accuracy …

Progressive-iteration approximation (PIA) is a new data fitting technique developed recently
for blending curves and surfaces. Taking the given data points as the initial control points …

Data fitting is an extensively employed modeling tool in geometric design. With the advent of
the big data era, the data sets to be fitted are made larger and larger, leading to more and …

Implicit curve and surface reconstruction attracts the attention of many researchers and
gains a wide range of applications, due to its ability to describe objects with complicated …

Just by adjusting the control points iteratively, progressive-iterative approximation presents
an intuitive and straightforward way to fit data points. It generates a curve or patch sequence …

Background: Methods of subdivision surfaces modeling and related technology research
have become a hot spot in the field of Computer-Aided Design (CAD) and Computer …

Volumetric modeling is an important topic for material modeling and isogeometric
simulation. In this paper, two kinds of interpolatory Catmull-Clark volumetric subdivision …