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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Rus. J. Nonlin. Dyn., 2024 Volume 20, Number 5, Pages 747–757 (Mi nd921)

NONLINEAR SYSTEMS IN ROBOTICS

Surface Shape Identification with Legged Robots Using Tactile Sensing

O. V. Bulichev, A. V. Maloletov

Innopolis University, ul. Universitetskaya 1, Innopolis, 420500 Russia

Abstract: This paper presents an approach to terrain shape detection using an array of tactile sensors or motor torque and encoders. A sparse point cloud at points where the surface is touched by the robot’s feet is converted into a polygonal mesh and a dense 3D point cloud using $\alpha$-shapes derived from a 2D Delaunay triangulation. Cloud-to-Cloud (C2C) and Cloud-to-Mesh (C2M) metrics are used to validate the solution. In the study, a mathematical model of the robot-surface system is developed and numerical experiments are performed on the basis of this model. A modification of Delaunay triangulation is proposed to account for impassable or unexplored areas of the surface. The results of mathematical modeling are confirmed in hardware experiments.

Keywords: tactile sensing, legged robots, identification of terrain properties, alpha shapes, mathematical modeling, simulation

MSC: 70E60

Received: 11.11.2024
Accepted: 18.12.2024

Language: English

DOI: 10.20537/nd241208



© Steklov Math. Inst. of RAS, 2026