Pythagorean-hodograph curves.

RT Farouki - Handbook of computer aided geometric design, 2002 - Springer
Pythagorean–hodograph curves are characterized by the special property that their
“parametric speed”—ie, the derivative of the arc length with respect to the curve parameter …

Optimization of multi-target continuous dynamic trajectory for unmanned aerial vehicles

Z Yu, N Qi, Z Li, T Lin, Y Yao, J Wang, M Huo - Aerospace Science and …, 2024 - Elsevier
In the problem of trajectory optimization for unmanned aerial vehicles (UAVs) passing
through multiple target points, continuous velocity and acceleration in the process of …

Vision-Based Mid-Air Object Detection and Avoidance Approach for Small Unmanned Aerial Vehicles with Deep Learning and Risk Assessment

YC Lai, TY Lin - Remote Sensing, 2024 - mdpi.com
With the increasing demand for unmanned aerial vehicles (UAVs), the number of UAVs in
the airspace and the risk of mid-air collisions caused by UAVs are increasing. Therefore …

Cooperative trajectory generation using Pythagorean hodograph Bézier curves

R Choe, J Puig-Navarro, V Cichella, E Xargay… - Journal of Guidance …, 2016 - arc.aiaa.org
This paper presents a cooperative trajectory-generation framework to efficiently compute a
set of spatial trajectories for a team of cooperating vehicles: in particular, for unmanned …

Robust adaptive neural network control for environmental boundary tracking by mobile robots

T Sun, H Pei, Y Pan, C Zhang - International Journal of Robust …, 2013 - Wiley Online Library
The paper addresses the problem of environmental boundary tracking for the nonholonomic
mobile robot with uncertain dynamics and external disturbances. To do environmental …

New developments in theory, algorithms, and applications for Pythagorean–hodograph curves

RT Farouki, C Giannelli, A Sestini - Advanced Methods for Geometric …, 2019 - Springer
The past decade has witnessed sustained interest in elucidating the basic theory of
Pythagorean–hodograph (PH) curves, develo** construction algorithms, formulating …

Path planning with Pythagorean-hodograph curves for unmanned or autonomous vehicles

RT Farouki, C Giannelli, D Mugnaini… - Proceedings of the …, 2018 - journals.sagepub.com
Pythagorean-hodograph (PH) curves offer distinct advantages in planning curvilinear paths
for unmanned or autonomous air, ground, or underwater vehicles. Although several authors …

Path Planning Methods for UAVs: A Survey

X Chen, J Tang, Y Ruan, J Zhan - … of the 3rd International Conference on …, 2024 - dl.acm.org
After years of development, low-cost Unmanned Aerial Vehicles (UAVs) play a pyramidally
important role in applications of miscellaneous fields by virtues of their excellent mobility and …

3d cooperative pythagorean hodograph path planning and obstacle avoidance for multiple uavs

MA Shah, N Aouf - 2010 IEEE 9th International Conference on …, 2010 - ieeexplore.ieee.org
This paper deals with 3D cooperative path planning of Unmanned Aerial Vehicles (UAVs) in
a static environment with known stationary obstacles. Differential geometry techniques …

Fast cooperative trajectory generation of unmanned aerial vehicles using a Bezier curve-based sha** method

Z Yu, N Qi, M Huo, Z Fan, W Yao - Ieee Access, 2021 - ieeexplore.ieee.org
This study uses a Bezier curve-based sha** (BCBS) approach based on the dynamic
model to quickly generate 3D cooperative trajectories for unmanned aerial vehicles (UAVs) …