A novel generalized trigonometric Bézier curve: Properties, continuity conditions and applications to the curve modeling

Author(s):  
Muhammad Ammad ◽  
Md Yushalify Misro ◽  
Ahmad Ramli
2016 ◽  
Author(s):  
Abd Fatah Wahab ◽  
Mohammad Izat Emir Zulkifly ◽  
Mohd Sallehuddin Husain

2013 ◽  
Author(s):  
Rozaimi Zakaria ◽  
Abd Fatah Wahab ◽  
R. U. Gobithaasan

2017 ◽  
Vol 11 ◽  
pp. 39-57 ◽  
Author(s):  
Abd Fatah Wahab ◽  
Mohammad Izat Emir Zulkifly

2020 ◽  
Vol 23 (2) ◽  
pp. 251-260
Author(s):  
Mohammad Izat Emir Zulkifly ◽  
Abd Fatah Wahab ◽  
Mohd Syafiq Bidin ◽  
Ahmad Fadillah Embong ◽  
Yeak Su Hoe

2013 ◽  
Vol 716 ◽  
pp. 733-738
Author(s):  
Hong Bao

A new management method for storing and constructing phase diagram is proposed for purpose of reducing the amount of storage and improving the readability of the phase diagram. We name the new management method as Bezier curve modeled phase diagram (BCMPD) . An entire phase diagram is consists of a set of cubic Bezier curves and straight lines under the BCMPD. Bezier curve based data structure is used for existing phase diagram storage. is modeled by a cubic Bezier curve. The strategy of Bezier curve modeling each piece of curve within a phase diagram is discussed in detail. Experimental results proved the feasibility of the strategy. By using the proposed modeling strategy, users can construct a phase diagram more rapidly and precisely. Detail information within a phase diagram can be read easily by appointing a location in the drawing.


2017 ◽  
Vol 53 (3) ◽  
pp. 1469-1480 ◽  
Author(s):  
Florian Digne ◽  
Alexandre Baussard ◽  
Ali Khenchaf ◽  
Cedric Cornu ◽  
Daniel Jahan

2021 ◽  
Vol 70 ◽  
pp. 1-10
Author(s):  
Bharath Subramani ◽  
Ashish Kumar Bhandari ◽  
Magudeeswaran Veluchamy

Actuators ◽  
2021 ◽  
Vol 10 (8) ◽  
pp. 173
Author(s):  
Hongbo Wang ◽  
Shihan Xu ◽  
Longze Deng

Traffic accidents are often caused by improper lane changes. Although the safety of lane-changing has attracted extensive attention in the vehicle and traffic fields, there are few studies considering the lateral comfort of vehicle users in lane-changing decision-making. Lane-changing decision-making by single-step dynamic game with incomplete information and path planning based on Bézier curve are proposed in this paper to coordinate vehicle lane-changing performance from safety payoff, velocity payoff, and comfort payoff. First, the lane-changing safety distance which is improved by collecting lane-changing data through simulated driving, and lane-changing time obtained by Bézier curve path planning are introduced into the game payoff, so that the selection of the lane-changing start time considers the vehicle safety, power performance and passenger comfort of the lane-changing process. Second, the lane-changing path without collision to the forward vehicle is obtained through the constrained Bézier curve, and the Bézier curve is further constrained to obtain a smoother lane-changing path. The path tracking sliding mode controller of front wheel angle compensation by radical basis function neural network is designed. Finally, the model in the loop simulation and the hardware in the loop experiment are carried out to verify the advantages of the proposed method. The results of three lane-changing conditions designed in the hardware in the loop experiment show that the vehicle safety, power performance, and passenger comfort of the vehicle controlled by the proposed method are better than that of human drivers in discretionary lane change and mandatory lane change scenarios.


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