椰汁木瓜凝固型酸奶的研制.docx

椭圆拟合的非线性最小二乘方法
安新源,周宗潭,胡德文
AN Xin-yuan,ZHOU Zong-tan,HU De-wen
国防科学技术大学机电工程与自动化学院,长沙 410073
College of Mechatronics and Automation,National University of Defense Technology,Changsha 410073,China
E-mail:******@nudt.
AN Xin-yuan,ZHOU Zong-tan,HU De- fitting based on non-linear least puter Engineering and
Applications,2009,45(18):188-190.
Abstract:In order to detect accurate locations and boundaries of elliptical objects on images,an ellipse fitting method based on
non-linear least squares is on the boundary points of the object,by minimizing the Euclidean distance between
fitting ellipse and boundary points,this method manages to get an ellipse that is defined by 5 parameters:the center coordinate,
azimuth,length of semi major axis and semi minor axis,so that this ellipse is optimal in the sense of non-linear least
practice,especially in the application of pupil feature extraction,this method obtains accurate locations and boundaries of pupils by eliminating the interferences caused by reflections,eyelashes and results demonstrate that this method achieve good performance in terms of accuracy and robustness.
Key words:ellipse fitting;non-linear least squares;pupil
摘要:为了在图像中确定椭圆目标精确的位置和边界,提出了一种基于非线性最小二乘的椭圆拟合方法。该方法在得到目标边
界点的基础上,通过最小化拟合椭圆与边界点之间的欧氏距离,确定出由椭圆中心坐标、长半轴和短半轴长度、旋转角度共 5 个参数定义的椭圆,使得这一椭圆在非线性最小二乘意义下是最优的。在实际