scholarly journals Graphics Evolutionary Computations in Higher Order Parametric Bezier Curves

2022 ◽  
Vol 41 (2) ◽  
pp. 595-609
Author(s):  
Monday Eze ◽  
Charles Okunbor ◽  
Deborah Aleburu ◽  
Olubukola Adekola ◽  
Ibrahim Ramon ◽  
...  
Keyword(s):  
Higher Order ◽  
Evolutionary Computations ◽  
Bezier Curves ◽  
Bézier Curves

scholarly journals A MATRIX PRESENTATION OF HIGHER ORDER DERIVATIVES OF BÉZIER CURVE AND SURFACE

2021 ◽  
Vol 21 (1) ◽  
pp. 77-90
Author(s):  
TUBA AĞIRMAN AYDIN
Keyword(s):  
Higher Order ◽  
Control Points ◽  
Bezier Curves ◽  
Bézier Curves ◽  
Algebraic Form ◽  
Important Place ◽  
Curves And Surfaces ◽  
The Matrix ◽  
Special Matrix ◽  
Derivatives Of

In this study, the Bézier curves and surfaces, which have an important place in interactive design applications, are expressed in matrix form using a special matrix that gives the coefficients of the Bernstein base polynomial. The matrix forms of higher order derivatives of the Bézier curves and surfaces are obtained. It is demonstrated by numerical examples that the bidirectional transition between the control points and parametric equations of the Bézier curves and surfaces can be easily achieved using these matrix forms. In addition, it is demonstrated that this type of curve and surface, whose control points are known, its higher order derivatives can be calculated without it's parametric equations. In this study, the Bézier curves and surfaces are presented in a more easily understandable and easy to use format in algebraic form for designers.

Quadratic Bezier Curves for Multi-Agent Coordinated Arrival in the Presence of Obstacles

2021 ◽  
Author(s):  
Satyanarayana G. Manyam ◽  
David Casbeer ◽  
Isaac E. Weintraub ◽  
Dzung M. Tran ◽  
Justin M. Bradley ◽  
...  
Keyword(s):  
Bezier Curves ◽  
Bézier Curves ◽  
Multi Agent

Curves used in highway design and Bezier curves

2021 ◽  
Vol Accepted ◽  
Author(s):  
Bayram Şahin ◽  
Aslı Ayar
Keyword(s):  
Bezier Curves ◽  
Bézier Curves ◽  
Highway Design

scholarly journals A new method on motion planning for mobile robots using jump point search and Bezier curves

2021 ◽  
Vol 18 (4) ◽  
pp. 172988142110192
Author(s):  
Ben Zhang ◽  
Denglin Zhu
Keyword(s):  
Motion Planning ◽  
Initial Point ◽  
Target Point ◽  
Jump Point ◽  
Bezier Curves ◽  
Bézier Curves ◽  
Front End ◽  
Planning Algorithm ◽  
Point Search ◽  
Path Planning Algorithm

Innovative applications in rapidly evolving domains such as robotic navigation and autonomous (driverless) vehicles rely on motion planning systems that meet the shortest path and obstacle avoidance requirements. This article proposes a novel path planning algorithm based on jump point search and Bezier curves. The proposed algorithm consists of two main steps. In the front end, the improved heuristic function based on distance and direction is used to reduce the cost, and the redundant turning points are trimmed. In the back end, a novel trajectory generation method based on Bezier curves and a straight line is proposed. Our experimental results indicate that the proposed algorithm provides a complete motion planning solution from the front end to the back end, which can realize an optimal trajectory from the initial point to the target point used for robot navigation.

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