3 papers
cs.RO2026
Semidefinite Relaxations for Collision-Free Motion Planning
Bernhard Paus Graesdal, Alexandre Amice, Pablo A. Parrilo +1
We study semidefinite relaxations for collision-free motion planning. We focus on a point robot moving from start to goal through spherical obstacles in , subject to…
cs.RO2026
A Framework for Combining Optimization-Based and Analytic Inverse Kinematics
Thomas Cohn, Lihan Tang, Alexandre Amice +1
Analytic and optimization methods for solving inverse kinematics (IK) problems have been deeply studied throughout the history of robotics. The two strategies have complementary st…
cs.RO2025
Mixed Discrete and Continuous Planning using Shortest Walks in Graphs of Convex Sets
Savva Morozov, Tobia Marcucci, Bernhard Paus Graesdal +3
We study the Shortest-Walk Problem (SWP) in a Graph of Convex Sets (GCS). A GCS is a graph where each vertex is paired with a convex program, and each edge couples adjacent program…