Hermite polynomials

An effective robot trajectory planning method using a genetic algorithm

Lianfang Tian, Curtis Collins

Citations: 179 • 2003

The Adaptive Hermite Fractal Tree (AHFT): a novel surgical 3D path planning approach with curvature and heading constraints

Marlene Pinzi, Stefano Galvan, Ferdinando Rodriguez y Baena

Citations: 48 • 2019

Minimum time path planning of robotic manipulator in drilling/spot welding tasks

Qiang Zhang, Mingyong Zhao

Citations: 44 • 2015

Optimal design of nonlinear springs in robot mechanism: simultaneous design of trajectory and spring force profiles

Nicolas Schmit, Masafumi OKADA

Citations: 25 • 2012

Mathematical modeling and simulation of the inverse kinematic of a redundant robotic manipulator using azimuthal angles and spherical polar piecewise interpolation

Mihai Dupac

Citations: 18 • 2023

Hermite interpolation by rational <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si19.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msup></mml:math> motions of low degree

Gašper Jaklič, Bert Jüttler, Marjeta Krajnc, Vito Vitrih, Emil Žagar

Citations: 16 • 2012

Simultaneous optimization of robot trajectory and nonlinear springs to minimize actuator torque

Nicolas Schmit, Masafumi OKADA

Citations: 15 • 2012

Path planning and tracking for robots based on cubic hermite splines in real-time

Péter Wagner, Jiří Kotzián, Jan Kordas, Viktor Michna

Citations: 11 • 2010

Joint Motion Planning of Industrial Robot Based on Modified Cubic Hermite Interpolation with Velocity Constraint

Yasong Pu, Yaoyao Shi, Xiaojun Lin, Wenbin Zhang, Pan Zhao

Citations: 11 • 2021

A polynomial Hermite interpolant for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si22.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>quasi arc-length approximation

J. Sánchez-Reyes, J.M. Chacón

Citations: 10 • 2014

Optimal path planning for a new type of 6RSS parallel robot based on virtual displacements expressed through Hermite polynomials

Lucian Milica, Alexandru Năstase, Gabriel Andrei

Citations: 10 • 2018

Research on the stability prediction for multi-posture robotic side milling based on FRF measurements

Song Ci, Zhibing Liu, Xibin Wang, Tianyang Qiu, Zhiqiang Liang, Wenhua Shen, Yuhang Gao, Senjie Ma

Citations: 9 • 2024

Real-time quintic Hermite interpolation for robot trajectory execution

Morten Lind

Citations: 8 • 2020

Collision Distance Detection Based on Swept Volume Strategy for Optimal Motion Plan

Tsai‐Jeon Huang

Citations: 7 • 2009

Mobile Robot with Movement Detection Controlled by a Real-Time Optical Flow Hermite Transform

Ernesto Moya-Albor, Jorge Brieva, Hiram Eredín Ponce Espinosa

Citations: 7 • 2015

Constructing<i>G</i>¹continuous curve on a free-form surface with normal projection

Xiaoping Wang, Weizhong Zhang, Laishui Zhou, Liyan Zhang

Citations: 7 • 2009

Cubic Spiral Transition Matching $G^2$ Hermite End Conditions

Citations: 6 • 2011

Equivalence of distinct characterizations for rational rotation-minimizing frames on quintic space curves

Rida T. Farouki, Takis Sakkalis

Citations: 5 • 2011

Interpolating Industrial Robot Orientation with Hermite Spline Curve Based on Logarithmic Quaternion

Yasong Pu, Yaoyao Shi, Xiaojun Lin, Jian Guo

Citations: 5 • 2019

On surface design with implicit algebraic surfaces

Insung Ihm

Citations: 5 • 1992