当前位置: X-MOL 学术IEEE Trans. Instrum. Meas. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Advanced Ellipse Fitting Algorithm Based on ADMM and Hybrid BFGS Method
IEEE Transactions on Instrumentation and Measurement ( IF 5.6 ) Pub Date : 2021-04-16 , DOI: 10.1109/tim.2021.3072141
Xia Zhang , Ding Liu , Xue Wang , Xinyu Zhang

Quick and accurate ellipse detection is essential for computer vision, automatic manufacturing, and other fields. In order to obtain more accurate ellipse parameters, the least-squares support vector regression is employed to establish the objective function and further convert the ellipse fitting problem into an optimization problem. This article proposes a hybrid BFGS algorithm integrated with an alternating direction method of multipliers (ADMM) to reduce the number of iterations and improve the algorithm convergence speed. The effectiveness and accuracy of the proposed algorithm are then verified in a series of numerical simulations by using the actual data of crystal images taken by charge-coupled device (CCD) cameras within the Czochralski silicon growth. Finally, the effectiveness is verified by comparing Hough transform (HT), maximum correntropy criterion (MCC), sparsity-based method (SBM), and other methods.

中文翻译:

基于ADMM和混合BFGS方法的高级椭圆拟合算法

快速准确的椭圆检测对于计算机视觉,自动制造和其他领域至关重要。为了获得更准确的椭圆参数,采用最小二乘支持向量回归建立目标函数,并将椭圆拟合问题进一步转化为优化问题。本文提出了一种混合BFGS算法,该算法与乘法器交替方向方法(ADMM)集成在一起,以减少迭代次数并提高算法的收敛速度。然后,通过使用由Czochralski硅生长中的电荷耦合器件(CCD)摄像机拍摄的晶体图像的实际数据,在一系列数值模拟中验证了所提出算法的有效性和准确性。最后,通过比较霍夫变换(HT)验证了有效性,
更新日期:2021-05-07
down
wechat
bug