Euclidean space

A fast procedure for computing the distance between complex objects in three-dimensional space

Éric Gilbert, Daniel Johnson, S. Sathiya Keerthi

Citations: 1470 • 1988

Robot navigation functions on manifolds with boundary

Daniel E. Koditschek, Elon Rimon

Citations: 565 • 1990

Stratification of three-dimensional vision: projective, affine, and metric representations

Olivier Faugeras

Citations: 302 • 1995

Algorithms for computing the volume and other integral properties of solids. I. known methods and open issues

Yong Tsui Lee, Aristides A. G. Requicha

Citations: 167 • 1982

An Approach for Imitation Learning on Riemannian Manifolds

Martijn J.A. Zeestraten, Ioannis Havoutis, João Silvério, Sylvain Calinon, Darwin G. Caldwell

Citations: 109 • 2017

An introduction to line geometry with applications

Helmut Pottmann, Martín Peternell, Bahram Ravani

Citations: 101 • 1999

Exact cellular decompositions in terms of critical points of Morse functions

Howie Choset, Erdem Acar, A.A. Rizzi, Jonathan Luntz

Citations: 93 • 2002

Old Wine in New Bottles: A New Algebraic Framework for Computational Geometry

David Hestenes

Citations: 85 • 2001

The complexity of the free space for a robot moving amidst fat obstacles

A. Frank van der Stappen, Dan Halperin, Mark H. Overmars

Citations: 77 • 1993

Simplified Voronoi diagrams

John Canny, Bruce R. Donald

Citations: 76 • 1987

Exact robot navigation using cost functions: the case of distinct spherical boundaries in E/sup n/

Elon Rimon, Daniel E. Koditschek

Citations: 75 • 2003

Almost Optimal Asynchronous Rendezvous in Infinite Multidimensional Grids

Evangelos Bampas, Jurek Czyzowicz, Leszek Gąsieniec, David Ilcinkas, Arnaud Labourel

Citations: 72 • 2010

The Angular-Metric Traveling Salesman Problem

Alok Aggarwal, Don Coppersmith, Sanjeev Khanna, Rajeev Motwani, Baruch Schieber

Citations: 72 • 2000

Sparse 3D Topological Graphs for Micro-Aerial Vehicle Planning

Helen Oleynikova, Zachary Taylor, Roland Siegwart, Juan Nieto

Citations: 70 • 2018

Grassmann?Cayley algebra and robotics

Neil White

Citations: 66 • 1994

Particle filtering on the Euclidean group: framework and applications

Kwon Junghyun, Minseok Choi, F. C. Park, Changmook Chun

Citations: 64 • 2007

Plane Formation by Synchronous Mobile Robots in the Three-Dimensional Euclidean Space

Yukiko Yamauchi, Taichi Uehara, Shuji Kijima, Masafumi Yamashita

Citations: 59 • 2017

Simplified Voronoi diagrams

John Canny, Bruce R. Donald

Citations: 59 • 1988

Coordinated Robot Navigation via Hierarchical Clustering

Ömür Arslan, Dan P. Guralnik, Daniel E. Koditschek

Citations: 58 • 2016

Robot kinematics and coordinate transformations

Daniel E. Koditschek

Citations: 58 • 1985