The ubiquitous ball spline. Basically, it is a type of mechanical element used in a variety of industrial applications where precise movement and alignment is required, like machine tools, robot arms ...

Ball splines are sometimes misunderstood in the intricate landscape of high-precision engineering. For one, they can be mischaracterized as fragile, or ill-suited for heavy loads. But these innovative ...

ABSTRACT: This paper is devoted to numerically solving the Burgers’ equation in unbounded region, which describes the nonlinear wave propagation and diffusion effect. How to numerically and ...

If you look at the source of extensible_splines/splines.py you will notice that the most commonly used varieties of spline can be defined with only one or two of four ...

A line drawing of the Internet Archive headquarters building façade. An illustration of a magnifying glass. An illustration of a magnifying glass.

Subcortical brain regions are absolutely essential for normal human function. These phylogenetically early brain regions play critical roles in human behaviors such as the orientation of attention, ...

Since I've been absolutely knee-deep in splines for months now, uh,, just wanted to give a heads up that A Catmull-Rom curve is defined by a start point, a tangent that for that starting point, an end ...

Abstract: Hermite splines are commonly used for interpolating data when samples of the derivative are available, in a scheme called Hermite interpolation. Assuming a suitable statistical model, we ...