activity
20122026
most citedCollision detection or nearest-neighbor search? On the computational bottleneck in sampling-based motion planning

21 citations · 33 across the 8 of their papers we have counts for

collaborators

9 papers

cs.RO2026

Manifold-Guided Motion Planning for Tight Assemblies

Dror Livnat, Michael M. Bilevich, Michal Kleinbort +1

Motion planning for rigid-body assembly poses a fundamental challenge in robotics due to tight geometric constraints. In such scenarios, feasible motions often require passing thro…

cs.CL2026

Evaluating Large Language Models on Computer Science University Exams in Data Structures

Edan Gabay, Yael Maoz, Jonathan Stahl +7

We present a comprehensive evaluation of Large Language Models (LLMs) on Computer Science (CS) Data Structure examination questions. Our work introduces a new benchmark dataset com…

cs.RO2019

Refined Analysis of Asymptotically-Optimal Kinodynamic Planning in the State-Cost Space

Michal Kleinbort, Edgar Granados, Kiril Solovey +3

We present a novel analysis of AO-RRT: a tree-based planner for motion planning with kinodynamic constraints, originally described by Hauser and Zhou (AO-X, 2016). AO-RRT explores…

cs.RO2018★ 1 cited

Probabilistic completeness of RRT for geometric and kinodynamic planning with forward propagation

Michal Kleinbort, Kiril Solovey, Zakary Littlefield +2

The Rapidly-exploring Random Tree (RRT) algorithm has been one of the most prevalent and popular motion-planning techniques for two decades now. Surprisingly, in spite of its centr…

cs.RO2017

The Critical Radius in Sampling-based Motion Planning

Kiril Solovey, Michal Kleinbort

We develop a new analysis of sampling-based motion planning in Euclidean space with uniform random sampling, which significantly improves upon the celebrated result of Karaman and…

cs.RO2016★ 21 cited

Collision detection or nearest-neighbor search? On the computational bottleneck in sampling-based motion planning

Michal Kleinbort, Oren Salzman, Dan Halperin

The complexity of nearest-neighbor search dominates the asymptotic running time of many sampling-based motion-planning algorithms. However, collision detection is often considered…

cs.CG2014

Optimal randomized incremental construction for guaranteed logarithmic planar point location

Michael Hemmer, Michal Kleinbort, Dan Halperin

Given a planar map of segments in which we wish to efficiently locate points, we present the first randomized incremental construction of the well-known trapezoidal-map search-…

cs.RO2014

Efficient high-quality motion planning by fast all-pairs r-nearest-neighbors

Michal Kleinbort, Oren Salzman, Dan Halperin

Sampling-based motion-planning algorithms typically rely on nearest-neighbor (NN) queries when constructing a roadmap. Recent results suggest that in various settings NN queries ma…

cs.CG2012★ 11 cited

Improved Implementation of Point Location in General Two-Dimensional Subdivisions

Michael Hemmer, Michal Kleinbort, Dan Halperin

We present a major revamp of the point-location data structure for general two-dimensional subdivisions via randomized incremental construction, implemented in CGAL, the Computatio…