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Improving the Transmission Security of Vein Images Using a Bezier Curve and Long Short-Term Memory
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作者 Ahmed H.Alhadethi Ikram Smaoui +1 位作者 Ahmed Fakhfakh Saad M.Darwish 《Computers, Materials & Continua》 SCIE EI 2024年第6期4825-4844,共20页
The act of transmitting photos via the Internet has become a routine and significant activity.Enhancing the security measures to safeguard these images from counterfeiting and modifications is a critical domain that c... The act of transmitting photos via the Internet has become a routine and significant activity.Enhancing the security measures to safeguard these images from counterfeiting and modifications is a critical domain that can still be further enhanced.This study presents a system that employs a range of approaches and algorithms to ensure the security of transmitted venous images.The main goal of this work is to create a very effective system for compressing individual biometrics in order to improve the overall accuracy and security of digital photographs by means of image compression.This paper introduces a content-based image authentication mechanism that is suitable for usage across an untrusted network and resistant to data loss during transmission.By employing scale attributes and a key-dependent parametric Long Short-Term Memory(LSTM),it is feasible to improve the resilience of digital signatures against image deterioration and strengthen their security against malicious actions.Furthermore,the successful implementation of transmitting biometric data in a compressed format over a wireless network has been accomplished.For applications involving the transmission and sharing of images across a network.The suggested technique utilizes the scalability of a structural digital signature to attain a satisfactory equilibrium between security and picture transfer.An effective adaptive compression strategy was created to lengthen the overall lifetime of the network by sharing the processing of responsibilities.This scheme ensures a large reduction in computational and energy requirements while minimizing image quality loss.This approach employs multi-scale characteristics to improve the resistance of signatures against image deterioration.The proposed system attained a Gaussian noise value of 98%and a rotation accuracy surpassing 99%. 展开更多
关键词 Image transmission image compression text hiding bezier curve Histogram of Oriented Gradients(HOG) LSTM image enhancement Gaussian noise ROTATION
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Obstacle Avoidance and Multitarget Tracking of a Super Redundant Modular Manipulator Based on Bezier Curve and Particle Swarm Optimization 被引量:7
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作者 Li Chen Ying Ma +1 位作者 Yu Zhang Jinguo Liu 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2020年第5期101-119,共19页
A super redundant serpentine manipulator has slender structure and multiple degrees of freedom.It can travel through narrow spaces and move in complex spaces.This manipulator is composed of many modules that can form ... A super redundant serpentine manipulator has slender structure and multiple degrees of freedom.It can travel through narrow spaces and move in complex spaces.This manipulator is composed of many modules that can form different lengths of robot arms for different application sites.The increase in degrees of freedom causes the inverse kinematics of redundant manipulator to be typical and immensely increases the calculation load in the joint space.This paper presents an integrated optimization method to solve the path planning for obstacle avoidance and discrete trajectory tracking of a super redundant manipulator.In this integrated optimization,path planning is established on a Bezier curve,and particle swarm optimization is adopted to adjust the control points of the Bezier curve with the kinematic constraints of manipulator.A feasible obstacle avoidance path is obtained along with a discrete trajectory tracking by using a follow-the-leader strategy.The relative distance between each two discrete path points is limited to reduce the fitting error of the connecting rigid links to the smooth curve.Simulation results show that this integrated optimization method can rapidly search for the appropriate trajectory to guide the manipulator in obtaining the target while achieving obstacle avoidance and meeting joint constraints.The proposed algorithm is suitable for 3D space obstacle avoidance and multitarget path tracking. 展开更多
关键词 Super redundant manipulator Multi target tracking Follow-the-leader Obstacle avoidance bezier curve PSO
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A transition method based on Bezier curve for trajectory planning in cartesian space 被引量:1
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作者 张少林 Jing Fengshui Wang Shuo 《High Technology Letters》 EI CAS 2017年第2期141-148,共8页
In order to smooth the trajectory of a robot and reduce dwell time,a transition curve is introduced between two adjacent curves in three-dimensional space.G2 continuity is guaranteed to transit smoothly.To minimize th... In order to smooth the trajectory of a robot and reduce dwell time,a transition curve is introduced between two adjacent curves in three-dimensional space.G2 continuity is guaranteed to transit smoothly.To minimize the amount of calculation,cubic and quartic Bezier curves are both analyzed.Furthermore,the contour curve is characterized by a transition parameter which defines the distance to the corner of the deviation.How to define the transition points for different curves is presented.A general move command interface is defined for receiving the curve limitations and transition parameters.Then,how to calculate the control points of the cubic and quartic Bezier curves is analyzed and given.Different situations are discussed separately,including transition between two lines,transition between a line and a circle,and transition between two circles.Finally,the experiments are carried out on a six degree of freedom(DOF) industrial robot to validate the proposed method.Results of single transition and multiple transitions are presented.The trajectories in the joint space are also analyzed.The results indicate that the method achieves G2 continuity within the transition constraint and has good efficiency and adaptability. 展开更多
关键词 transition method bezier curve G2 continuity transition constraint
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A path planning algorithm based on Bezier curves for underwater vehicles 被引量:1
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作者 Shang Liuji Wang Shuo 《High Technology Letters》 EI CAS 2010年第3期293-298,共6页
An on-line path planning algorithm based on Bezier curves is presented for underwater vehicles. Aiming at the special requirements of underwater vehicles and 3D enviromnent, the algorithm consists of two steps : the ... An on-line path planning algorithm based on Bezier curves is presented for underwater vehicles. Aiming at the special requirements of underwater vehicles and 3D enviromnent, the algorithm consists of two steps : the generation of spatial path and the processing of some constraints. A path for underwater vehicles is planned, which satisfies the velocity constraint and the centripetal acceleration constraint of underwater vehicles. The proposed path planning method can be used for the vehicle' s locomotion and navigation control. 展开更多
关键词 path planning bezier curves underwater vehicles
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Shape Control and Modification of Rational Bezier Curve and Surface
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作者 Tang Gangdou and Wang KeBeijing Institute of Data Processing Technology, P.O. Box 3927, Beijing 100854, China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1991年第2期65-72,共8页
A Bezier interpolation approach is proposed which uses local generation of endpoint slopes and forces the curve and the surface to pass through an arbitrarily specified point to control and modify the shape of curve a... A Bezier interpolation approach is proposed which uses local generation of endpoint slopes and forces the curve and the surface to pass through an arbitrarily specified point to control and modify the shape of curve and surface, making the result satisfactory. 展开更多
关键词 Computer aided geometric design bezier curve bezier surface.
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Development of Cubic Bezier Curve and Curve-Plane Intersection Method for Parametric Submarine Hull Form Design to Optimize Hull Resistance Using CFD
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作者 Deddy Chrismianto Ahmad Fauzan Zakki +1 位作者 Berlian Arswendo Dong Joon Kim 《Journal of Marine Science and Application》 CSCD 2015年第4期399-405,共7页
Optimization analysis and computational fluid dynamics (CFDs) have been applied simultaneously, in which a parametric model plays an important role in finding the optimal solution. However, it is difficult to create... Optimization analysis and computational fluid dynamics (CFDs) have been applied simultaneously, in which a parametric model plays an important role in finding the optimal solution. However, it is difficult to create a parametric model for a complex shape with irregular curves, such as a submarine hull form. In this study, the cubic Bezier curve and curve-plane intersection method are used to generate a solid model of a parametric submarine hull form taking three input parameters into account: nose radius, tail radius, and length-height hull ratio (L/H). Application program interface (API) scripting is also used to write code in the ANSYS DesignModeler. The results show that the submarine shape can be generated with some variation of the input parameters. An example is given that shows how the proposed method can be applied successfully to a hull resistance optimization case. The parametric design of the middle submarine type was chosen to be modified. First, the original submarine model was analyzed, in advance, using CFD. Then, using the response surface graph, some candidate optimal designs with a minimum hull resistance coefficient were obtained. Further, the optimization method in goal-driven optimization (GDO) was implemented to find the submarine hull form with the minimum hull resistance coefficient (Ct). The minimum C, was obtained. The calculated difference in (7, values between the initial submarine and the optimum submarine is around 0.26%, with the C, of the initial submarine and the optimum submarine being 0.001 508 26 and 0.001 504 29, respectively. The results show that the optimum submarine hull form shows a higher nose radius (rn) and higher L/H than those of the initial submarine shape, while the radius of the tail (r1) is smaller than that of the initial shape. 展开更多
关键词 submarine hull form parametric design cubic bezier curve curve-plane intersection method hull resistance coefficeint parametric design goal-driven optimization (GDO) computational fluid dynamic (CFD) ANSYS
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Explicit G2-constrained Merging of a Pair of Bezier Curves by Control Point Optimization
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作者 LU Li-Zheng QIU Yu-Yang 《自动化学报》 EI CSCD 北大核心 2014年第7期1505-1508,共4页
关键词 贝塞尔曲线 控制点 合并 G2 优化 二次函数 距离 最小化
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Graphics Evolutionary Computations in Higher Order Parametric Bezier Curves
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作者 Monday Eze Charles Okunbor +7 位作者 Deborah Aleburu Olubukola Adekola Ibrahim Ramon Nneka Richard-Nnabu Oghenetega Avwokuruaye Abisola Olayiwola Rume Yoro Esomu Solomon 《Computer Systems Science & Engineering》 SCIE EI 2022年第5期595-609,共15页
This work demonstrates in practical terms the evolutionary concepts and computational applications of Parametric Curves.Specific cases were drawn from higher order parametric Bezier curves of degrees 2 and above.Bezie... This work demonstrates in practical terms the evolutionary concepts and computational applications of Parametric Curves.Specific cases were drawn from higher order parametric Bezier curves of degrees 2 and above.Bezier curves find real life applications in diverse areas of Engineering and Computer Science,such as computer graphics,robotics,animations,virtual reality,among others.Some of the evolutionary issues explored in this work are in the areas of parametric equations derivations,proof of related theorems,first and second order calculus related computations,among others.A Practical case is demonstrated using a graphical design,physical hand sketching,and programmatic implementation of two opposite-faced handless cups,all evolved using quadratic Bezier curves.The actual drawing was realized using web graphics canvas programming based on HTML 5 and JavaScript.This work will no doubt find relevance in computational researches in the areas of graphics,web programming,automated theorem proofs,robotic motions,among others. 展开更多
关键词 Parametric curve computer graphics bezier curve blending function robotics
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VERIFYING THE IMPLICITIZATION FOR MULAE FORDEGREE n RATIONAL BEZIER CURVES
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作者 Wang, GJ Sederberg, TW 《Journal of Computational Mathematics》 SCIE EI CSCD 1999年第1期33-40,共8页
This is a continuation of short communication([1]). In [1] a verification of the implicitization equation for degree two rational Bezier curves is presented which does not require the use of resultants. This paper pre... This is a continuation of short communication([1]). In [1] a verification of the implicitization equation for degree two rational Bezier curves is presented which does not require the use of resultants. This paper presents these verifications in the general cases, i.e., for degree n rational Bezier curves. Thus some interesting interplay between the structure of the n x n implicitization matrix and the de Casteljau algorithm is revealed. 展开更多
关键词 rational bezier curve IMPLICITIZATION RESULTANT de Casteljau algorithm
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基于Bezier曲线的功率车人机交互系统设计
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作者 徐方超 刘威 +3 位作者 孙凤 郭辉 李强 王硕 《沈阳工业大学学报》 CAS 北大核心 2024年第6期792-798,共7页
针对功率车在使用过程中骑行体验感较差的问题,提出了一种具有人机交互功能的功率车训练系统。该系统的下位机由功率车、霍尔传感器、单片机和伺服电机等模块组成,功率车的阻力通过设计的新型磁阻装置进行无级连续调节。基于贝塞尔曲线... 针对功率车在使用过程中骑行体验感较差的问题,提出了一种具有人机交互功能的功率车训练系统。该系统的下位机由功率车、霍尔传感器、单片机和伺服电机等模块组成,功率车的阻力通过设计的新型磁阻装置进行无级连续调节。基于贝塞尔曲线对上位机的骑行路径进行优化,结合实时插值、等距插值和非等距插值算法,提升了场景跟踪效果。实验结果表明,基于贝塞尔曲线的实时插值算法生成的路径能够满足体感一致性,确保人机交互过程中场景的流畅性与稳定性。 展开更多
关键词 功率车 贝塞尔曲线 磁阻装置 无极连续调节 人机交互 路径优化 插值算法 体感一致性
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基于Bezier曲线的气膜冷却孔出口孔形优化
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作者 刘瑞 文申成 张传亮 《动力工程学报》 CAS CSCD 北大核心 2024年第8期1173-1180,共8页
提出一种基于Bezier曲线的气膜冷却孔出口参数化构型方法,通过调整Bezier曲线的控制点,改变气膜冷却孔的出口形状。采用拉丁超立方抽样(LHS)和数值模拟的方法,获得大量不同气膜冷却孔出口形状下的气膜冷却效果,结合径向基函数神经网络(R... 提出一种基于Bezier曲线的气膜冷却孔出口参数化构型方法,通过调整Bezier曲线的控制点,改变气膜冷却孔的出口形状。采用拉丁超立方抽样(LHS)和数值模拟的方法,获得大量不同气膜冷却孔出口形状下的气膜冷却效果,结合径向基函数神经网络(RBF-NN)所构建的预测模型和遗传算法(GA)进行气膜冷却孔出口形状优化。结果表明:优化后的气膜冷却孔可以有效抑制肾形涡对(CVP)的强度与大小,减小冷却气流与热主流的掺混损失;优化后的气膜冷却孔具有扩张的冷却通道,降低了冷却气流出口法向上的动量,有效抑制了冷却气流对于热主流的穿透,提升了气膜冷却效率;在吹风比M=0.91的情况下,最优孔形的气膜冷却效率较圆孔和扇形孔分别提升了40.48%和17.82%。 展开更多
关键词 气膜冷却 bezier曲线 径向基函数神经网络 遗传算法 数值模拟
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一种带参数的二次Bezier曲线的连续条件
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作者 孙明灿 师晶 《延边大学学报(自然科学版)》 CAS 2024年第1期63-69,共7页
针对计算机辅助几何设计中曲线的光滑拼接问题,研究了一种带参数的二次Bezier曲线的连续条件.利用曲线性质给出了两条带参数的二次Bezier曲线在连接点处实现光滑拼接的充要条件,并得到了该曲线间G^(l)、G^(2)、C^(l)、C^(2)光滑拼接的... 针对计算机辅助几何设计中曲线的光滑拼接问题,研究了一种带参数的二次Bezier曲线的连续条件.利用曲线性质给出了两条带参数的二次Bezier曲线在连接点处实现光滑拼接的充要条件,并得到了该曲线间G^(l)、G^(2)、C^(l)、C^(2)光滑拼接的定理。利用实例计算表明,该连续条件易于实现复杂曲线的构造,可为参数曲线的设计提供良好参考。 展开更多
关键词 二次bezier曲线 光滑拼接 连续条件 曲线造型
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基于高阶Bezier曲线的渐进多焦点镜片设计
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作者 刘江 金涛 贾宏志 《光学技术》 CAS CSCD 北大核心 2024年第5期550-559,共10页
采用直接法设计渐近多焦镜片时,子午线上的光焦度分布是控制远用区,近用区和通道大小的关键。以高阶多项式为代表的子午线光焦度分布函数无法有效控制各个眼用区域附近的光焦度变化速率,导致镜片个性化设计的灵活性不高。为解决这一问题... 采用直接法设计渐近多焦镜片时,子午线上的光焦度分布是控制远用区,近用区和通道大小的关键。以高阶多项式为代表的子午线光焦度分布函数无法有效控制各个眼用区域附近的光焦度变化速率,导致镜片个性化设计的灵活性不高。为解决这一问题,文章引入了一个高阶Bezier函数来描述期望的子午线光焦度分布,在子午线眼用区域附近添加多个曲线控制点,通过改变控制点位置来调节对应区域光焦度变化速率,以实现对镜片光焦度和像散分布的个性化控制。通过计算仿真、面型分析软件验证和实际加工测量分析可知,设计的四款渐进多焦点镜片在满足佩戴用途的同时具有较低的像散极值和宽阔的光焦度稳定区域,展现Bezier曲线的高可塑性。方法具有子午线灵活可调的能力,能有效控制关键区域的设计、位置、远视区域、近视区域和通道区域的大小,为个性化设计抗疲劳、办公室和驾驶等场景渐进多焦点眼镜展示了一种有效的方法。 展开更多
关键词 光学设计 渐进多焦点眼用镜片 子午线 高阶bezier曲线
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Bezier型曲线内能极小化的通用方法及其应用
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作者 李军成 刘成志 《高校应用数学学报(A辑)》 北大核心 2024年第3期291-302,共12页
虽然Bezier型曲线中包含的形状参数可提高其形状表现能力,但如何通过确定形状参数的最佳取值对Bezier型曲线的形状进行优化也值得关注.该文提出了通过对三种常见内能极小化来确定Bezier型曲线中所含形状参数最优值的通用方法,该方法包... 虽然Bezier型曲线中包含的形状参数可提高其形状表现能力,但如何通过确定形状参数的最佳取值对Bezier型曲线的形状进行优化也值得关注.该文提出了通过对三种常见内能极小化来确定Bezier型曲线中所含形状参数最优值的通用方法,该方法包括极小化一种内能,同步极小化其中两种内能以及同步极小化三种内能等情形.最后利用一种被称为三次替代曲线的Bezier型曲线对文中所提出的方法进行了检验,结果表明这些方法是可行的. 展开更多
关键词 bezier型曲线 形状参数 形状优化 能量极小化
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Degree elevation from Bzier curve to C-Bzier curve with corner cutting form
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作者 SHEN Wan-qiang WANG Guo-zhao 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2016年第2期165-176,共12页
The existing results of curve degree elevation mainly focus on the degree of algebraic polynomials. The paper considers the elevation of degree of the trigonometric polynomial, from a Bezier curve on the algebraic pol... The existing results of curve degree elevation mainly focus on the degree of algebraic polynomials. The paper considers the elevation of degree of the trigonometric polynomial, from a Bezier curve on the algebraic polynomial space, to a C-Bezier curve on the algebraic and trigonometric polynomial space. The matrix of degree elevation is obtained by an operator presentation and a derivation pyramid. It possesses not a recursive presentation but a direct expression. The degree elevation process can also be represented as a corner cutting form. 展开更多
关键词 curve modeling bezier curve C-bezier curve Degree elevation Corner cutting.
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基于Bezier曲线的涡轮叶片参数化造型及优化设计 被引量:23
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作者 张晓东 余世敏 +2 位作者 龚彦 杨文武 周权 《机械强度》 CAS CSCD 北大核心 2015年第2期266-271,共6页
定、转子叶片的结构设计决定着涡轮钻具的工作性能。基于Bezier曲线理论方法,结合Turbosystem系统,提出了一套涡轮叶片参数化造型、性能预测到优化设计的完整数值模拟方法,并与试验数据对比验证了该方法的可行性。以Φ127涡轮钻具为例,... 定、转子叶片的结构设计决定着涡轮钻具的工作性能。基于Bezier曲线理论方法,结合Turbosystem系统,提出了一套涡轮叶片参数化造型、性能预测到优化设计的完整数值模拟方法,并与试验数据对比验证了该方法的可行性。以Φ127涡轮钻具为例,基于此数值模拟方法,根据速度场和压力场以及叶片输出特性对叶片进行了优化设计,结果表明,优化改善了涡轮叶片工作时压力面、吸力面的脱流和漩涡现象,输出扭矩平均提升了1.022 N·m,效率平均提高了6.14%,涡轮钻具的整体工作性能得到改善。研究可为涡轮钻具叶片的设计和优化提供新的思路和科学依据。 展开更多
关键词 bezier曲线 涡轮叶片 Turbosystem系统 数值模拟 优化设计
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基于Bezier曲线优化的农机自动驾驶避障控制方法 被引量:22
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作者 奚小波 史扬杰 +5 位作者 单翔 张琦 金亦富 龚俊杰 张剑峰 张瑞宏 《农业工程学报》 EI CAS CSCD 北大核心 2019年第19期82-88,共7页
动力换挡拖拉机的产生促进农机自动驾驶向着无人化方向发展,农机的自动避障成为需要解决的关键问题。该文针对最短切线路径曲线曲率不连续、跟踪控制精度差及农机运动模型精度低等缺点,采用三阶Bezier曲线优化法形成连续平滑农机避障路... 动力换挡拖拉机的产生促进农机自动驾驶向着无人化方向发展,农机的自动避障成为需要解决的关键问题。该文针对最短切线路径曲线曲率不连续、跟踪控制精度差及农机运动模型精度低等缺点,采用三阶Bezier曲线优化法形成连续平滑农机避障路径,通过链式控制理论建立农机运动线性控制模型,利用PI控制器进行转角补偿,并进行了控制方法的仿真和犁耕作业试验。仿真结果表明:农机行驶的航向误差角在-0.06~0.06 rad,横向位置误差小于13 cm,前轮转向角变化平缓,没有显著突变,说明该方法控制精度较高,农机能够按预设轨迹行驶。犁耕作业试验结果表明:Bezier曲线部分的避障精度为5.21 cm,曲线路径的跟踪控制效果较好;避障后农机继续沿直线行驶的精度为1.98 cm,说明该方法可保证农机在避障后恢复直线自动驾驶。研究结果表明,该避障路径控制方法在不平整犁耕地中具有较好的鲁棒性和适应性,可满足拖拉机作业的避障要求。 展开更多
关键词 农业机械 运动规化 避障 自动驾驶 bezier曲线
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基于Bezier曲线的植物形态建模和显示 被引量:21
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作者 刘晓东 蒋立华 +1 位作者 赵军军 刘海岩 《计算机工程与应用》 CSCD 北大核心 2002年第13期97-98,共2页
建立植物模型有多种方法,而植物形态的多变性使建立植物模型十分困难。该文介绍了基于Bezier曲线建立植物模型的方法,可以用较少的参数,方便地建立植物的可交互模型,可以让模型以任意方式变换。同时对Bezier曲面建模提出了面片建模的改... 建立植物模型有多种方法,而植物形态的多变性使建立植物模型十分困难。该文介绍了基于Bezier曲线建立植物模型的方法,可以用较少的参数,方便地建立植物的可交互模型,可以让模型以任意方式变换。同时对Bezier曲面建模提出了面片建模的改进方法。 展开更多
关键词 bezier曲线 植物形态建模 显示 动画显示 计算机
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三次Bezier曲线的一种双参数扩展及应用 被引量:20
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作者 杭后俊 余静 李汪根 《计算机工程与应用》 CSCD 北大核心 2010年第31期178-180,205,共4页
对三次Bernstein基函数进行扩展,给出了含有双参数λμ的一组四次多项式基函数,基于该组基定义了带双参数的多项式曲线。该曲线不仅具有三次Bezier曲线的诸多特性,而且具有更加灵活的形状可调性。参数λμ的几何意义非常明显:在控... 对三次Bernstein基函数进行扩展,给出了含有双参数λμ的一组四次多项式基函数,基于该组基定义了带双参数的多项式曲线。该曲线不仅具有三次Bezier曲线的诸多特性,而且具有更加灵活的形状可调性。参数λμ的几何意义非常明显:在控制顶点不变的情况下,λμ分别起到了对曲线相对于控制多边形两内顶点的推拉作用,当λ=μ时,曲线退化为三次Bezier曲线的单参数扩展情形。重点讨论了在不改变控制点位置的情况下如何实现两曲线间的C1拼接。 展开更多
关键词 BERNSTEIN基函数 bezier曲线 形状参数 C1连续
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一种基于Bezier曲线的移动机器人轨迹规划新方法 被引量:13
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作者 孙雷 张丽爽 +1 位作者 周璐 张雪波 《系统仿真学报》 CAS CSCD 北大核心 2018年第3期962-968,共7页
针对移动机器人的轨迹规划问题,提出了一种基于Bezier曲线的有效解决方法。相对于现有轨迹规划方法,此方法所产生的路径长度更短,轨迹所用时间更短。将轨迹规划问题分为路径规划和速度规划两步来解决。采用Bezier曲线光滑连接线段序列... 针对移动机器人的轨迹规划问题,提出了一种基于Bezier曲线的有效解决方法。相对于现有轨迹规划方法,此方法所产生的路径长度更短,轨迹所用时间更短。将轨迹规划问题分为路径规划和速度规划两步来解决。采用Bezier曲线光滑连接线段序列进行路径规划以减小路径长度;考虑整条路径的曲率连续性,证明了Bezier曲线的次数至少为5次。以差动轮式机器人为例,产生了满足其运动学和动力学约束的速度命令,使机器人能平稳光滑地跟踪所规划的路径。仿真结果证明了所提方法的有效性。 展开更多
关键词 轨迹规划 路径规划 bezier曲线 速度规划
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