The generation of energy-efficient and dynamic-aware robot motions that satisfy constraints
such as joint limits, self-collisions, and collisions with the environment remains a challenge …

This paper introduces an innovative dual-path planning algorithm rooted in a topological
three-dimensional Riemannian manifold (T3DRM) to optimize drone navigation in complex …

Distance functions are crucial in robotics for representing spatial relationships between the
robot and the environment. It provides an implicit representation of continuous and …

Many energy-based control strategies for mechanical systems require the choice of a
Coriolis factorization satisfying a skew-symmetry property. This paper explores (a) if and …

In this article, we investigate a novel construction scheme for λ-Bernstein Bézier surfaces
and illustrate it with biquadratic and bicubic cases to demonstrate their geometric …

Endowing the configuration space of a robot with an appropriate metric structure and
characterizing and computing the corresponding geodesics are central issues in motion …

ABSTRACT Dynamic Difficulty Adjustment studies how games can adapt content to their
users' skill level, aiming to keep them in flow. Most of these methods maximize engagement …

This paper presents a geometric representation for energy-efficient motion generation based
on kinetic energy fields. Minimal energy paths correspond to geodesics in the configuration …