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 ...

A Jupyter notebook that builds a formula to approximate the length of a Bézier Curve without calculating the curve. The purpose of this is on the one hand submitting it as part of a paper for my ...

Abstract: We consider simple digital curves in a 3D orthogonal grid as special polyhedrally bounded sets. These digital curves model digitized curves or arcs in three-dimensional Euclidean space. The ...

Abstract: The magnitudes of the endpoint tangent vectors are optimized in the Hermite interpolation process so that the curve length of the optimized geometric Hermite curve is a minimum. The tangent ...