  Transition states and minimum energy paths are essential to understand and
predict chemical reactivity. Double-ended methods represent a standard approach
for their determination. We introduce a new double-ended method that optimizes
reaction paths described by curves. Unlike other methods, our approach
optimizes the curve parameters rather than distinct structures along the path.
With molecular paths represented as continuous curves, the optimization can
benefit from the advantages of an integral-based formulation. We call this
approach ReaDuct and demonstrate its applicability for molecular paths
parametrized by B-spline curves.
