Eikonal equation

Shape from shading

Berthold K. P. Horn, Michael J. Brooks

Citations: 620 • 1989

Optimal Algorithm for Shape from Shading and Path Planning

Ron Kimmel, James A. Sethian

Citations: 205 • 2001

Fast methods for Eikonal equations: An experimental survey

Javier V. Gómez, David Álvarez, Santiago Garrido, Luís Moreno

Citations: 46 • 2019

Fast Marching Methods for Stationary Hamilton–Jacobi Equations with Axis-Aligned Anisotropy

Ken Alton, Ian M. Mitchell

Citations: 38 • 2008

LODE: Locally Conditioned Eikonal Implicit Scene Completion from Sparse LiDAR

Pengfei Li, Ruowen Zhao, Yongliang Shi, Hao Zhao, Jirui Yuan, Guyue Zhou, Yaqin Zhang

Citations: 26 • 2023

Dijkstra-like ordered upwind methods for solving static Hamilton-Jacobi equations

Ken Alton

Citations: 17 • 2010

Learning-Based Motion Planning of a 14-DOF Biped Robot on 3D Uneven Terrain Containing a Ditch

Jitendra Kumar, Ashish Dutta

Citations: 10 • 2021

Path planning of nonholonomic flying robots using a new virtual obstacle method

Ellips Masehian, Nazanin Mohamadnejad

Citations: 9 • 2015

An eikonal equation based path planning method using polygon decomposition and curve evolution

Sun Zheng, Zhufeng Shao, Hui Li

Citations: 7 • 2019

A parallel generator for sparse unstructured meshes to solve the eikonal equation

Benedikt Zönnchen, Gerta Köster

Citations: 6 • 2018

PC-Planner: Physics-Constrained Self-Supervised Learning for Robust Neural Motion Planning with Shape-Aware Distance Function

Xujie Shen, Haocheng Peng, Zesong Yang, Juzhan Xu, Hujun Bao, Ruizhen Hu, Zhaopeng Cui

Citations: 5 • 2024

Motion Planning of a 14 DOF Biped Robot For Crossing an Irregular Shape Ditch Using a New Speed Function Incorporating Terrain Features and Biped Dynamics

Jitendra Kumar, Ashish Dutta

Citations: 3 • 2019

A New Oren–Nayar Shape-from-Shading Approach for 3D Reconstruction Using High-Order Godunov-Based Scheme

Guohui Wang, Yuanbo Chu

Citations: 3 • 2018

NTFields: Neural Time Fields for Physics-Informed Robot Motion Planning

Ruiqi Ni, Ahmed H. Qureshi

Citations: 3 • 2022

Fast Marching Methods

Ron Kimmel

Citations: 2 • 2004