2026
A Differentiable Distance Metric for Robotics Through Generalized Alternating Projection
Vinicius Mariano Gonçalves, Shiqing Wei, Eduardo Malacarne S. de Souza, Prashanth Krishnamurthy, Anthony Tzes, Farshad Khorrami
RA-L 2026
In many robotics applications, it is necessary to compute not only the distance between the robot and the environment, but also its derivative - for example, when using control barrier functions. However, since the traditional Euclidean distance is not differentiable, meaning it is not guaranteed to