基于CT数据的二次曲面拟合算法研究  

Research on Quadric Surface Fitting Algorithm Based on CT Data

作　　者：樊知轩 阙介民[3] 魏存峰[3,4] 刘宝东 魏彪[2] FAN Zhixuan;QUE Jiemin;WEI Cunfeng;LIU Baodong;WEI Biao(College of Automation,Chongqing University,Chongqing 400044,China;College of Optoelectronic Engineering,Chongqing University,Chongqing 400044,China;Institute of High Energy Physics,Chinese Academy of Sciences(Beijing Engineering Research Center of Radiographic Techniques and Equipment),Beijing 100049,China;School of Nuclear Science and Technology,University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]重庆大学自动化学院,重庆400044 [2]重庆大学光电工程学院,重庆400044 [3]中国科学院高能物理研究所(北京市射线成像技术与装备工程技术研究中心),北京100049 [4]中国科学院大学核科学与技术学院,北京100049

出　　处：《CT理论与应用研究（中英文）》2023年第1期35-42,共8页Computerized Tomography Theory and Applications

基　　金：中国科学院科研仪器设备研制项目(固液界面可视可控的光学晶体生长设备的研制(E12821V1))。

摘　　要：二次曲面工件在工业中比较常见,为测量物体内部的二次曲面,本文采用工业计算机断层成像(CT)技术获取物体的断层图像序列,利用U-net图像分割网络获得断层图像上的目标区域,对分割结果的边缘进行检测和曲线拟合并堆叠成三维点集,通过曲面拟合获取物体曲面的三维空间坐标信息。研究结果表明,本文的方法能够有效地实现边界提取和界面参数的拟合工作,拟合误差在1%以内,相比传统方法有较大改进。Quadric surface is a common type of workpiece shape in industry. It can be imaged by computed tomography(CT).A sample object was scanned and its slices were reconstructed to measure its internal quadric surface. We used the U-net image segmentation network to obtain the interested region and then detected the edge in the segmentation results and obtained curve fitting results. The curves were stacked into a three-dimensional point set. The three-dimensional spatial coordinate information for the internal quadric surface was computed through surface fitting. The results demonstrate that the proposed method can effectively extract the internal quadric surface parameters, and the fitting error can be controlled within 1%, which is superior to that achieved with a traditional algorithm.

关 键 词：工业CT 深度学习 二次曲面 曲面拟合 

分 类 号：O242[理学—计算数学] TP391.41[理学—数学]