2A2-U09 Recognition of Unknown Surface Shape used Image Recognition and Bezier Curve for Grinding Robot System

The creative industries have become the government's attention for contributing to economic accretion. But due the lack of artistic creativity and appeal, the evolution of creative industries craft section is not optimal. So that it was needed a variations of relief items to increase the attractiveness. In general, industrial objects design are still limited to the space geometry objects or a Bezier curve of degree two. Therefore, Bezier curves of degree is selected and modified it into a quartic Bezier forms and then applied to the design of industrial objects (glassware). The purpose of this research is to determine the formula of quartic Bezier from of qubic Bezier modifications and to determine the rotary surface shape of quartic Bezier from cubic Bezier modifications. Then, from some form of revolving surface of modified cubic Bezier the glassware designs are generated. The results of this research are, first, the formula of quartic Bezier result of Bezier cubic modifications. Second, the form of revolving surface of modified cubic Bezier which is influenced by five control points and parameter selection . For further Research it is expected to develop a modification of cubic Bezier into Bezier of degree-

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Mathematical Model Quartic Curve Bezier of Modification Cubic Curve Bezier

CAUCHY ◽

10.18860/ca.v6i2.9054 ◽

2020 ◽

Vol 6 (2) ◽

pp. 77

Author(s):

Juhari Juhari

Keyword(s):

Mathematical Model ◽

Creative Industries ◽

Surface Shape ◽

Bézier Curve ◽

Bezier Curve ◽

Control Points ◽

Artistic Creativity ◽

Quartic Curve ◽

Cubic Curve ◽

Space Geometry

<div><p>The creative industries have become the government's attention for contributing to economic accretion. But due to the lack of artistic creativity and appeal, the evolution of the creative industries' craft section is not optimal. So that it was needed a variation of relief items to increase attractiveness. In general, an industrial object's design is still limited to the space geometry objects or a Bezier curve of degree two. Therefore, Bezier curves of degree are selected and modified it into a quartic Bezier forms and then applied to the design of industrial objects (glassware). The purpose of this research is to determine the formula of the quartic Bezier form of cubic Bezier modifications and to determine the rotary surface shape of quartic Bezier from cubic Bezier modifications. Then, from some form of the revolving surface of modified cubic Bezier, the glassware designs are generated. The results of this research are, first, the formula of the quartic Bezier result of Bezier cubic modifications. Second, the form of the revolving surface of modified cubic Bezier which is influenced by five control points P0, NP31, NP32, NP33, P3, and parameter lambda. For further research, it is expected to develop a modification of cubic Bezier into Bezier of degree-n</p></div>

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A NURBS transition between a Bézier curve and its control polygon

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113626 ◽

2021 ◽

pp. 113626

Author(s):

Imre Juhász

Keyword(s):

Bézier Curve ◽

Bezier Curve ◽

Control Polygon

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Optimal Bezier Curve Modification Function for Contrast Degraded Images

IEEE Transactions on Instrumentation and Measurement ◽

10.1109/tim.2021.3073320 ◽

2021 ◽

Vol 70 ◽

pp. 1-10

Author(s):

Bharath Subramani ◽

Ashish Kumar Bhandari ◽

Magudeeswaran Veluchamy

Keyword(s):

Bézier Curve ◽

Bezier Curve ◽

Degraded Images

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Automatic Lane-Changing Decision Based on Single-Step Dynamic Game with Incomplete Information and Collision-Free Path Planning

Actuators ◽

10.3390/act10080173 ◽

2021 ◽

Vol 10 (8) ◽

pp. 173

Author(s):

Hongbo Wang ◽

Shihan Xu ◽

Longze Deng

Keyword(s):

Path Planning ◽

Dynamic Game ◽

Single Step ◽

Bézier Curve ◽

Vehicle Safety ◽

Bezier Curve ◽

Lane Change ◽

Hardware In The Loop ◽

Power Performance ◽

Lane Changing

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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