On the Arc Length of Parametric Cubic Curves
Zsolt Bancsik, Imre Juh
Abstract
Zsolt Bancsik, Imre Juh
Abstract
We are seeking cubic parametric curves whose arc length can be expressed in a closed form. Based on the control points of a Brepresentation of parametric cubics, we provide a criterion to determine whether their arc length has a closed form or not.
OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
We are seeking cubic parametric curves whose arc length can be expressed in a closed form. Based on the control points of a Brepresentation of parametric cubics, we provide a criterion to determine whether their arc length has a closed form or not.
Key concepts: Arc length, Arc (geometry), Parametric statistics, Mathematics, Parametric equation, Combinatorics, Mathematical analysis, Geometry