A state-of-the-art literature review was conducted to explore the latest advancements in
parameterization techniques to facilitate the effective and efficient modelling of human …

This study presents a novel approach for handling the intersection of planar parametric
curves. By leveraging the inherent properties of parametric curves, our technique simplifies …

We consider the problem of computing the topology and describing the geometry of a
parametric curve in R n. We present an algorithm, PTOPO, that constructs an abstract graph …

We provide a method to compute the topology of the image of a parametric curve under a
birational mapping of the plane. The method proceeds by exploiting as much as possible the …

We introduce novel mathematical and computational tools to develop a complete algorithm
for computing the set of non-properness of polynomials maps in the plane. In particular, this …

We introduce novel mathematical and computational tools to develop a complete and
efficient algorithm for computing the set of non-properness of polynomial maps on the plane …

Understanding and analyzing the learning curve of human-based manufacturing operations
is highly important for production managers aiming to optimize workforce performance and …

In this study, a novel approach is presented for handling the intersection of two planar
rational parametric curves. The proposed approach makes use of parametric curves' nature …

Hausdorff space is a topological space a separation property in that, any two distinct points
can be separated by a disjoint open set-that is, whenever and are distinct points of a set …

Parametric curves constitute a classical and important topic in computational algebra and
geometry [15] that constantly receives attention, eg,[14, 6, 4, 16]. The motivation behind the …