Gerardo C. Velez-Lopez

National Institute of Astrophysics, Optics and Electronics

Papers

Total Citations

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About

Gerardo C. Velez-Lopez is a researcher specializing in robotics and autonomous systems, with a particular focus on collision-free path planning for robotic arms. His work centers on developing innovative algorithms that enable robots to navigate complex, obstacle-laden environments safely and efficiently — a critical challenge in both industrial automation and human-robot collaboration. Velez-Lopez's most notable contributions lie in the application of homotopy methods to robotic path planning. His 2022 paper, "A Novel Collision-Free Homotopy Path Planning for Planar Robotic Arms," introduced a groundbreaking algorithm leveraging homotopy theory to compute feasible collision-free trajectories for planar robotic systems. Building on this foundation, his 2024 follow-up extended these methods to multi-degree-of-freedom robotic arms, broadening applicability to more complex real-world scenarios in both structured and unstructured workspaces. Each of these publications has garnered 7 citations, reflecting growing interest from the robotics research community in his mathematically rigorous approach. His work is particularly relevant as robots increasingly operate alongside humans in collaborative settings, where safe and precise motion planning is paramount. Velez-Lopez's research represents a promising intersection of applied mathematics and advanced robotics engineering.