Arc length is an essential concept in geometry, and it plays a crucial role in numerous fields, such as engineering, architecture, astronomy, and physics. It refers to the distance covered along a ...

Bezier curves, mainly of the Cubic variety, are used extensively in graphics and design programs, like SVG and Opentype fonts. There are some mathematically complete ways to calculate the length of a ...

I'm generating a quadratic b-spline curve from a set of controlpoints and a knot vector. How can I reparametrize the curve so that it is parameterized according to the arc / curve length? For example, ...

When engineers need to make curved or bent pieces of sheet metal, they use company-written tables, rules of thumb, and guesstimates to determine the length of straight stock needed for bending into a ...

The area under a curve represents the total accumulation of a quantity over an interval and is an essential concept in mathematics, especially when dealing with calculus or solving real-world problems ...