In the context of global climate change and the increasing focus on carbon emissions,
carbon emission research has become a prominent area of study. However, research in this …

Finding an implicit polynomial that fits a set of observations X is the goal of many researches
in recent years. However, most existing algorithms assume the knowledge of the degree of …

As data becomes dynamic, large, and distributed, there is increasing demand for what have
become known as distributed stream algorithms. Since continuously collecting the data to a …

In view of the shortcomings of the manual operation methods commonly used in the docking
of spacecraft cabins, such as low efficiency, poor precision, and difficulty in ensuring …

Computing the geometric distance between a point and an implicitly defined curve is widely
used in implicit curve fitting and geometric processing. Iterative numerical methods are often …

Discovering the orthogonal distance to a quadratic surface is a classic geometric task in
vision, modeling, and robotics. I describe a simple, efficient, and stable direct solution for the …

Today, common algorithms such as spline curves and triangulation methods are used in 2-
and 3-dimensional modeling of objects. However, although these methods can express …

With the advances in 3D technology, digital photogrammetry and computer vision, solving
the correspondence problem accurately and efficiently has gained popularity. Locating the …

Implicit polynomial (IP) fitting is an effective method to quickly represent two-dimensional
(2D) image boundary contour in the form of mathematical function. Under the same …

Implicit polynomials (IPs) are applied to represent 2D object shapes in image processing
and computer vision. However, it is difficult for IPs to represent complex object shapes due to …