… of a 3D clothoid or 3D Euler spiral — a space curve characterized by linearly varying
curvature and torsion (see eg, [Harary and Tal 2012])1. Our new super space clothoid rod model, …

… Super-Clothoid model, a new mechanical model that for the first time allows for the computing
of the dynamics of an elastic, inextensible piecewise clothoid. … , the super-clothoid appears …

In this supplemental material we highlight on a simple 2D study case how catastrophic
cancellation shows up when integrating an explicit linear ODE with power series expansions. We …

… Thus, borrowing the idea from planar movement, space clothoids can also be … clothoids
have been proven, researchers have paid little attention to the use of such curves in 3D space. A …

… Abstract—In this work, we trace the history of the clothoid curve, a … We also investigate the
use of clothoids in modern times, … In 2013, [23] presented the concept of super space clothoids …

… In 2013, [49] presented the concept of super space clothoids in computer graphics with
application to dynamic hair modelling. Although they recognise the Lie group structure of the …

… C k continuity is equivalent when the curves are clothoids parametrised with arc-length (as
it … problem with clothoids. In its simplest form, it is required to find a clothoid arc that passes …

… is captured and deformed accurately thanks to our super-clothoid model [4]. From left to … in
real-time using a very low number of 3D clothoidal elements: a vine tendril (4 elements), a hair …

… to demonstrate that the super-clothoid model could capture … deformed accurately thanks to
our super-clothoid model [4]. … a very low number of 3D clothoidal elements: a vine tendril (4 …

… Inspired by the super-clothoid model for thin elastic rods, our method relies on compact
ribbon elements whose normal curvature varies linearly with respect to arc length , while their …