This work investigates the use of particle swarm optimization (PSO) to recover the shape of a
surface from clouds of (either organized or scattered) noisy 3D data points, a challenging …

Surface reconstruction is a very challenging problem arising in a wide variety of applications
such as CAD design, data visualization, virtual reality, medical imaging, computer animation …

Fitting data points to curves (usually referred to as curve reconstruction) is a major issue in
computer-aided design/manufacturing (CAD/CAM). This problem appears recurrently in …

Data fitting with B-splines is a challenging problem in reverse engineering for CAD/CAM,
virtual reality, data visualization, and many other fields. It is well-known that the fitting …

This paper introduces a new method to compute the approximating explicit B‐spline curve to
a given set of noisy data points. The proposed method computes all parameters of the B …

Artificial neural networks have been recognized as a powerful tool to learn and reproduce
systems in various fields of applications. Neural net works are inspired by the brain behavior …

This work concerns the problem of curve and surface fitting. In particular, we focus on the
case of 3D point clouds fitted with Bézier curves and surfaces. Because these curves and …

Recently, a new extension of the standard neural networks, the so-called functional
networks, has been described [E. Castillo, Functional networks, Neural Process. Lett. 7 …

A classical issue in many applied fields is to obtain an approximating surface to a given set
of data points. This problem arises in Computer‐Aided Design and Manufacturing …

We present a new method for implicitization of parametric curves, surfaces and
hypersurfaces usingessen tially numerical linear algebra. The method is applicable for …