Polynomial

Solving Systems of Polynomial Equations

Bernd Sturmfels

Citations: 851 • 2002

On the “piano movers” problem. II. General techniques for computing topological properties of real algebraic manifolds

Jacob T. Schwartz, Micha Sharir

Citations: 807 • 1983

Numerically Solving Polynomial Systems with Bertini

Daniel J. Bates, Andrew J. Sommese, Jonathan D. Hauenstein, Charles W. Wampler

Citations: 356 • 2013

The Stewart Platform of General Geometry Has 40 Configurations

Madhu Raghavan

Citations: 315 • 1993

Spherical averages and applications to spherical splines and interpolation

Samuel R. Buss, Jay P. Fillmore

Citations: 305 • 2001

Solving the Kinematics of the Most General Six- and Five-Degree-of-Freedom Manipulators by Continuation Methods

Lung‐Wen Tsai, Alexander P. Morgan

Citations: 282 • 1985

On the Piano Movers' Problem: III. Coordinating the Motion of Several Independent Bodies: The Special Case of Circular Bodies Moving Amidst Polygonal Barriers

Jacob T. Schwartz, Micha Sharir

Citations: 243 • 1983

Smooth and time-optimal S-curve trajectory planning for automated robots and machines

Yi Fang, Jie Hu, Wenhai Liu, Quanquan Shao, Jin Qi, Yinghong Peng

Citations: 205 • 2019

The (n2−1)-puzzle and related relocation problems

Daniel Ratner, Manfred K. Warmuth

Citations: 188 • 1990

On the dynamic model and kinematic analysis of a class of Stewart platforms

Zheng Geng, Leonard S. Haynes, James D. Lee, Robert L. Carroll

Citations: 184 • 1992

An effective robot trajectory planning method using a genetic algorithm

Lianfang Tian, Curtis Collins

Citations: 179 • 2003

A Convergence Theory for Deep Learning via Over-Parameterization

Zeyuan Allen-Zhu, Yuanzhi Li, Zhao Song

Citations: 176 • 2018

On the complexity of kinodynamic planning

John Canny, Bruce R. Donald, John H. Reif, Patrick Xavier

Citations: 176 • 1988

How to learn an unknown environment. I

Xiaotie Deng, Tiko Kameda, Christos H. Papadimitriou

Citations: 161 • 1998

Subdivision methods for solving polynomial equations

Bernard Mourrain, Jean-Pascal Pavone

Citations: 158 • 2008

Robust tracking control of robots by a linear feedback law

Zhihua Qu, J. Dorsey

Citations: 156 • 1991

A robot vision system for recognizing 3D objects in low-order polynomial time

C.H. Chen, A.C. Kak

Citations: 148 • 1989

"Body-In-The-Loop": Optimizing Device Parameters Using Measures of Instantaneous Energetic Cost

Wyatt Felt, Jessica C. Selinger, J. Maxwell Donelan, C. David Remy

Citations: 144 • 2015

Trajectory planning for a 6-axis robotic arm with particle swarm optimization algorithm

Özge EKREM, Bekir Aksoy

Citations: 136 • 2023

Indoor robot localization based on wireless sensor networks

Long Cheng, Chengdong Wu, Yunzhou Zhang

Citations: 133 • 2011