基于光纤光栅的动态面形检测和可视化关键技术研究
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摘要
面形结构的植入式传感检测和可视化是结构健康检测中尚未很好解决的一个共性问题。其研究结果可望广泛应用于航天器太阳能帆板、高机动性军用飞机机翼的结构健康实时检测,以及民用大坝、大桥、高层建筑和大型建筑穹顶等的健康检测和可视化。
     本文提出应用光纤光栅(Fiber Bragg Grating,FBG)传感器的传感和结构特性,结合智能材料与结构技术,设计植入式传感网络,构建检测系统,重建柔性曲面形状,并实现柔性曲面的动态可视化显示。首先对整个测试系统进行功能分析,选用FBG传感器作为传感元件,并利用FBG传感器的波分复用、空分复用技术构建传感网络。由曲面运动的有限元分析,将FBG传感器布置在曲面变形的最大变形处,对封装过程进行细化,保证传感器封装强度高,反应灵敏,对曲面变形系统影响小。解调仪检测FBG的波长改变,转化为曲面上的曲率信息。由曲率和弧长信息,提出由曲线重建到曲面重建的渐进重建算法,采用四边形网格细分算法连接曲面,构建任意拓扑曲面;并对由曲率和弧长信息直接重建曲面片,光滑连接曲面的重建算法进行探讨;也对由双三次曲面片重建曲面的重建算法进行分析。将重建的曲面显示在屏幕中,实现曲面的变形视觉效果,反应变形本质。
     文中建立模拟太阳能帆板的低频变形试验平台,对曲面的多种形态进行测试和验证,对整个测试系统精度进行研究。进一步分析测试系统的误差,并提出减小和消除误差的方法和措施,提高系统检测精度和重建精度,为实用化提供技术准备和模拟试验。
     本研究的主要贡献在于:
     (1)建立一套由柔性结构、植入式传感网络、光纤光栅调制解调装置、计算机分析处理单元组成的面形结构变形实时检测和显示系统,其中的可视化计算部分是对传统结构健康检测的重要改进。
     (2)完成由曲率和弧长信息重建曲线再重建曲面的算法,并探讨由曲率和弧长信息直接重建曲面的方法,初步解决微分几何中尚未涉及的由曲率信息重建曲面的问题。
Surface measurement and visualization with embedded sensor network is one of the researches for structural health monitoring. The key technologies and methods could be applied to real-time structural health monitoring such as the solar array measurement of aircraft and the plane airfoil in haste flight. It would also have potential applications for to the health monitoring and visualization of civil structures, such as dams, bridges, high building and dome.
     This dissertation presented a novel solution with the fiber Bragg grating (FBG) sensor network as the sensing unit which has excellent sensor and structure characteristic; based on the design of sensor network, a dynamic shape measuring system are built to reconstruct the flexible surface shape and built by visualization impaction to this problem. First, the scheme of the system has been analyzed and the FBG was selected as the sensor in the system and built a large sensor network with the technology of the Spatial-Division-Multiplexing (SDM) and the Wavelength-Division-Multiplexing (WDM). According to the result of surface finite element analysis (FET), the FBG sensors were distributed on the maximum amplitude locations of movement. The processing of packaging includes that selecting the glue-water near the surface material, design of high intensity packaging, and realization of quick response and lower effect to the vibrating system. The dissertation presented a reconstruction algorithm from curve reconstruction to surface reconstruction according to the curvature and arc length information. This proposed algorithm first reconstructs surface slices and joint the slices. By displaying the reconstructed visualization effect, the real-time deformation information and essence of movement can be well monitored.
     A tested has been designed to simulate the lower-frequency movement of the solar array. The multi-modules shapes could be measured which can be used to prove the design. The testing result has been estimated to the measurement and the error has been analyzed. In order to improve the measurement and reconstruction precision of the system, some methods and steps are also presented to reduce the errors, thus provides technique preparation and for ongoing research.
     The main contributions of this dissertation are as follows:
     (1) Setup a set of real time measurement and visualization system consisted of embedded sensor network, flexible surface structure, FBG demodulation device and computer for surface measurement. The computer visualization is an important improving for the traditional structural health monitoring.
     (2) Presented a reconstruction algorithm from curve reconstruction to surface reconstruction based on the curvature and arc length information. A novel algorithm that first reconstructs surface slices and joints the slices also was proposed based on the curvature and the arc information which was not well solved in the differential geometry discipline.
引文
[1]John D J,Richard S F,David L E.Recent progress in thermally induced vibrations research.Proceedings of the International Conference on Engineering Construction and Operations in Space.1996,2:1134-1140.
    [2]Patrick K Malone,Geoffrey T W,Lightweight Inflatable Solar Array,Joural of propulsion and power,1996,12(5):866-872.
    [3]Robert L M,Dale R B,Solar Array Passiver Functional Tests,Photovoltaic Specialists Conference,1996,Conference Record of the Twenty Fifth IEEE,13-17,1996,5:313-316.
    [4]卫剑征,苗常青,杜星文.充气太阳能帆板展开动力学数值模拟预报.宇航学报,2007,28(2):322-326.
    [5]刘新建,雷勇军,唐乾刚.大挠性太阳能帆板航天器的姿态控制.国防科技大学学报,2003,25(5):6-8.
    [6]申慧君,高普云,唐乾刚.三块各向正交异性矩形板构成的卫星帆板在各种载荷下的横向弯曲,强度与环境,2004,31(2):1-6.
    [7]刘安成,吴大方,高镇同.卫星太阳能帆板振动抑制研究.实验力学,2002,17(04):477-482.
    [8]周舟,陆秋海,任革学.低密频太阳能帆板动力学参数在轨辨识和振动控制.工程力学,2004,(03):477-482.
    [9]何柏岩,王树新.航天器帆板展开过程动力学建模与仿真.计算机辅助设计与图形学学报,2006,18(02):319-323.
    [10]邢素丽,曾竟成,肖加余.军用飞机金属构件战伤的复合材料快速修复技术研究概况.玻璃钢/复合材料.2003,3:39-41.
    [11]段卓毅,陈迎春,赵克良,等.战斗机边条翼大迎角涡升力研究.飞行力学.2003,21(3):18-20.
    [12]刘玉廷,杨保林.智能结构在作战飞机上的应用.航空兵器,2003,1:45-46.
    [13]Hongchao Fan,Jinwu Qian,Yanan Zhang,Linyong Shen.Dynamical Surface Vibration Measurement Based on FBG Sensors and Visualization.ICMA2006,2006,6:233-237.
    [14]Hongchao Fan,Jinwu Qian,Yanan Zhang,Linyong Shen.FBG Sensors for Flexible Surface Vibration Test.ICIA2007,2007,8:29-33.
    [15]樊红朝,钱晋武,章亚男,等.曲面振动变形检测系统与方法.申请中国发明专利,申请号:200710039962.8.
    [16]陆麒,樊红朝,钱晋武.面形结构大变形智能检测系统概念设计.光学精密工程,2004,12(z1):128-131.
    [17]谢金,王文,吴世雄.基于计算机视觉的曲面激光测量系统研究.仪器仪表学报,2002,23(3):201-203.
    [18]施进发.曲面形状激光自动测量技术.航空工程与维修,2000,3:47-49.
    [19]张宝峰,许智钦,陈津平,等.三维自由曲面的激光扫描测量.计量技术,2002,5:12-14.
    [20]刘广玉.传感器的现状和未来.测控技术,1999,18(3):1-4.
    [21]Gang-Ding Peng.Prospects of polymer optical fibres and gratings in sensing.Optical Fiber Sensors Conference Technical Digest 2002,2002,15(6-10):71-74.
    [22]Chart C C,Gong J M,Jin W,et al.Improving Measurement Accuracy of Fiber Bragg Grating Sensor Using Digital Matched Filter.Sensors & Actuators:A.Physical,2003,104(1):19-24.
    [23]Reinhardt Willsch,Wolfgang Ecke,Hartmut Bartelt.Optical Fiber Grating Sensor Networks and their Application in Electric Power Facilities.Aerospace and Geotechnical Engieering,OFS 2002,2002:49-54.
    [24]Yashiro S,Takeda N,Okabe T,et al.A new approach to predicting multiple damage states in composite laminates with embedded FBG sensors.Composites science and technology,2005(65):659-667.
    [25]http://www.weatherford.com/weatherford/groups/public/documents/general/wft010195.pd f.
    [26]谢金宝,杨广学,韦琦.光纤Bragg光栅传感器及其应用.传感器与微系统,2006,25(04):72-74.
    [27]温立志,张戌社.光纤FBG光栅传感测试技术研究及其应用.石家庄铁道学院学报,2004,17(04):71-74.
    [28]张记龙,曾光宇.光纤光栅(FBG)传感技术及其应用.华北工学院测试技术学报,2001,15(04):214-220.
    [29]卓锋,赵玉成,延风平,等.光纤光栅的传感特性研究.光纤与电缆及其应用技术,2000.04:29-32.
    [30]王永治,靳志强.光纤光栅传感器与传感网络.传感器世界,2002,5:31-32.
    [31]Lin Tzu-Kang,Lin Chu-Chieh Jay,Chang Kuo-Chun.A neural network based methodology for estimating bridge damage after major earthquakes.Journal of the Chinese Institute of Engineers,Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an,2002,25(4):415-424.
    [32]孙丽,光纤光栅传感技术与工程应用研究.大连理工大学博士学位论文,2006,2.
    [33]信思金,樊卫平.光纤光栅用于监测高性能混凝土耐久性研究.武汉理工大学学报,2005,27(6):32-34.
    [34]鲍吉龙,章献民,陈抗生.FBG传感网络技术研究,光通信技术,2001,25(2):84-89.
    [35]赵洪霞,鲍吉龙.光纤光栅聚合物封装工艺及性能测试.激光杂志,2005,62(04):71-72.
    [36]张伦伟,钱晋武,章亚男,等.基于FBG传感网络的新型内窥镜形状实时检测系统.机械工程学报,2006,42(2):177-182.
    [37]周智,赵雪峰,武湛君,等.光纤光栅毛细钢管封装工艺及其传感特性研究,中国激光,2002,29(12):1080-1092.
    [38]Ishizuka M.,Aida M.Performance study of node placement in sensor networks.Proceedings,24th International Conference on Distributed Computing Systems Workshops,2004:598-603.
    [39]Lin Tzu-Kang,Chang Kuo-Chun,Chung Lip-Lai,Active control with optical fiber sensors and neural networks Ⅰ:Theoretical analysis.Journal of Structural Engineering,2006,132(8):1293-1303.
    [40]Abdelzaher T,Stankovic J,Son S,A communication architecture and programming abstractions for real-time embedded sensor networks.Distributed Computing Systems Workshops 2003 Proceedings,19-22,May,2003:220-225.
    [41]Peng-Chun Peng,Hong-Yih Tseng,Sien Chi,A novel fiber-laser-based sensor network with self-healing function.Photonics Technology Letters,2003,15(2):275-277.
    [42]Akyildiz I F,Weilian Su,Sankarasubramaniam Y,A survey on sensor networks.Communications Magazine,2002,14(8):102-114.
    [43]贾宝华,盛秋琴,施可彬,等.光纤光栅振动传感解调方法的研究.光电子·激光,2001,12(7):758-761.
    [44]黄俊斌,尹进,张心天.波分复用分布式FBG传感网络.传感器技术,2003,22(12):9-12.
    [45]李志全,汤敬,许明妍.分布式光纤光栅传感网络的复用解调技术.光电子技术与信思,2005,18(2):53-58.
    [46]孙曼.光纤Bragg光栅传感技术用于工程结构安全监测的研究.四川大学博士学位论文,2005.10.
    [47]高宏伟.新型光纤光栅传感复用系统的研究.南开大学博士学位论文,2006,4.
    [48]吴晓冬.光纤Bragg光栅应变传感技术.浙江大学博士学位论文,2005,4.
    [49]张向东.光纤光栅传感技术及在油气井中的应用研究.中科院博士学位论文,2004,8
    [50]贾宏志.光纤光栅传感器的理论和技术研究.中科院博士学位论文,2000,8.
    [51]曹晔.光纤光栅传感器解调技术及封装工艺的研究.南开大学学位论文,2005,4.
    [52]刘波.光纤光栅传感系统的研究与实现.南开大学博士学位论文,2004,4.
    [53]Ling Hang-Yin,Lau Kin-Tak,Cheng Li.Viability of using an embedded FBG sensor in a composite structure for dynamic strain measurement.Journal of the International Measurement Confederation,2006,39(4):328-334.
    [54]Takeda N,Yashiro S,Okabe T,Estimation of the damage patterns in notched laminates with embedded FBG sensors.Composites Science and Technology,2005,66(5):684-693.
    [55]Kim Won Seok,Kim Sang Hoon,Lee Jung Ju.Structural Health Monitoring of composite laminates by using embedded FBG.optical fiber sensors Key Engineering Materials,2005,297-300(3):2158-2163.
    [56]Fan Yu,Kahrizi.Sensors and Actuators.A:Physical,Characterization of a FBG strain gage array embedded in composite structure,2005,121(2):297-305.
    [57]王忠东,陈塑寰.智能结构有限元动力模型的建立及主动振动控制和抑制.计算力学学报,1998,15(1):38-43.
    [58]Lifton J,Broxton M,Paradiso J A.Distributed sensor networks as sensate skin.Sensors,Proceedings of IEEE,2003,2(22-24):743-747.
    [59]Hautamaki C,Zurn S,Mantell S C.Experimental evaluation of MEMS strain sensors embedded in composites.Microelectromechanical Systems,1999,8(3):272-279.
    [60]Yanfei Liu,Hoover A,Walker Ⅰ.Experiments using a sensor network,based workcell for industrial robots.ICRA'02.,2002,3(15):2988-2993.
    [61]Sveda M,Vrba R.Integrated smart sensor networking framework for sensor-based appliances,2003,3(5):579-586.
    [62]梁磊.光纤光栅智能材料与结构理论和应用研究.武汉理工大学博士学位论文,2005,10.
    [63]刘仁强,付宜利,刘品宽,等.新型智能结构中埋入式曲率光纤传感器的研究.压电与声光,2003,25(4):270-273.
    [64]辛自强.智能结构三层次理论述评.心理科学,2002,25(6):686-690.
    [65]余海湖,赵愚,姜德生.智能材料与结构的研究及应用.武汉理工大学学报,2001,23(11):37-41.
    [66]邱志成.压电智能挠性板的主动振动控制研究.压电与声光,2002,24(6):497-501.
    [67]陈仁文,陶宝祺,陈勇.减振降噪智能结构的研究.测控技术,1998,17(6):11-13.
    [68]黄尚廉,陶宝祺,沈亚鹏.智能结构系统——梦想、现实与未来.中国机械工程,2000,11(1-2):32-35.
    [69]涂亚庆,黄尚廉.一种光纤机敏蒙皮系统.光电工程,1996,23(4):27-31.
    [70]Masyuki OKUGAWA,Hiroshi MAEDA.Smart Structure with Self-Maintenance for the Characteristics Variation.Osaka,2002,2(5-7):1139-1144.
    [71]Tai Y,Yoshizawa K,Okubo H.Robust Fault Detection of Smart Structure Control Systems with Model Uncertainty.Osaka,2002,.2(5-7):1135-1138.
    [72]Sridhar S,Vittal S R.Robust Control of Input Limited Smart Structural Systems.Transactions On Control Systems Technology,2001,9(1):60-68.
    [73]Moheimani S O R,Goodwin G C.Special Issue on Dynamics and Control of Smart Structures.Transactions On Control Systems Technology,2001,9(1):3-4.
    [74]Feng Z,Jie L,Reich J,Programming embedded networked sensor systems,Hardware/Software Codesign and System Synthesis,2003 International Conference on,2003,1(3):52-58.
    [75]吴艳萍,俞智昆,吴东生.曲面造型研究.昆明理工大学学报(理工版), 2003,28(2):52-54.
    [76]王宏杰.曲面重构技术的应用.兵工自动化,2000,1:37-39.
    [77]熊邦书,冯燕,何明一,等.曲面重构算法的研究.机械科学与技术,2003,32(3):375-377.
    [78]KAbe J,Bisceglio D R,Ferguson T J.Computational topology for isotopic surface reconstruction.Theoretical Computer Science,2006,365(3):184-198.
    [79]Oleksandr A S,Michael J L,David R B.Using coloured structured light in 3-D surface measurement.Optics and Lasers in Engineering,2005,43(7):801-814.
    [80]Philippe Andrey,Yves Maurin.An integrated environment for three-dimensional reconstruction from serial sections.Journal of Neuroscience Methods,2005,145(1-2):233-244.
    [81]盛忠起,蔡光起.逆向工程及曲面重建技术.机械设计与制造,2001,6:102-103.
    [82]张丽艳,周来水,周儒荣.逆向工程中曲面重构算法研究与实现.航空学报,1999,20(3):242-244.
    [83]陈志杨,李江雄,柯映林.反求工程中的曲面重构技术.汽车工程,2000,22(06):365-367.
    [84]苏海,汪林祥,詹肇麟,等.反求工程中几种自由曲面重构方法的分析.昆明理工大学学报(自然科学版),2001,26(4):81-84.
    [85]Tolga Tasdizen,Ross Whitaker.Anisotropic Diffusion of Surface Normals for Feature Preserving Surface Reconstruction.Proceedings of the Fourth International Conference on 3-D Digital Imaging and Modeling,2003,4:353-360.
    [86]Adan M,Adan A,Cerrada C,et al.Weighted Cone-Curvature:Applications for 3D Shapes Similarity.Proceedings of the Fourth International Conference on 3-D Digital Imaging and Modeling,2003:458-465.
    [87]Dragan Tubi'c,Patrick H'ebert,Denis Laurendeau.Efficient Surface Reconstruction from Range Curves.Proceedings of the Fourth International Conference on 3-D Digital Imaging and Modeling,2003:54-61.
    [88]林志浩.逆向工程中曲面重构技术的研究与实现.苏州大学硕士学位论文,2006,11.
    [89]Bray M A,Lin S F,Wikswo J P,et al.Three-Dimensional Surface Reconstruction and Fluorescent Visualization of Cardiac Activation.Transactions on Biomedical Engineering,2000,47(10):1382-1391.
    [90]Peter J Y,Juan J C,Rakesh M,et al.Vessel Surface Reconstruction With a Tubular Deformable Model.Transactions on Medical Imaging,2001,20(12):1411-1421.
    [91]Paluszyfiski J,Slowko W.Surface reconstruction with the photometric method in SEM,2005,78(2-4):533-537.
    [92]Achille Braquelaire,Bertrand Kerautret.Reconstruction of Lambertian surfaces by discrete equal height contours and regions propagation.Image and Vision Computing,2005,23(2):177-189.
    [93]Stephan Schmitt,Jan Felix Evers,Carsten Duch.New methods for the computer-assisted 3-D reconstruction of neurons from confocal image stacks.2004,23(4):1283-1298.
    [94]G.Saravana Kumar,Prem Kumar Kalra,Sanjay G.Dhande.Curve and surface reconstruction from points:an approach based on self-organizing maps.Applied Soft Computing,2004,5(1):55-66.
    [95]Matsuyama T,Wu X,Takai T.Real-time 3D shape reconstruction dynamic 3D mesh deformation and high fidelity visualization for 3D video.Computer Vision and Image Understanding,2004,96(3):393-434.
    [96]Mouravliansky N,Matsopoulos G K,Delibasis K,Combining a morphological interpolation approach with a surface reconstruction method for the 3-D representation of tomographic data.Journal of Visual Communication and Image Representation,2004,15(4):565-579.
    [97] Claus-Peter Alberts. Surface reconstruction from scan paths. Future Generation Computer Systems, 2004, 20(8): 1285-1298.
    [98] Erol Gelenbe, Ta(?)k(?)n Ko(?)ak, Rong Wang. Wafer surface reconstruction from top-down scanning electron microscope images. Microelectronic Engineering, 2004, 75(2): 216-233.
    [99] Ye Duan, Hong Qin. A subdivision-based deformable model for surface reconstruction of unknown topology. Graphical Models, 2004,66(4): 181-202.
    [100] Xiaoyuan Qian, Xuegang Huang. Reconstruction of surfaces of revolution with partial sampling. Journal of Computational and Applied Mathematics, 2004,163(1): 211-217.
    [101] Dragan Tubic, Patrick Hébert. 3D surface modeling from curves. Image and Vision Computing, 2004,22(9): 719-734.
    [102] Xiaogang Jin, Hanqiu Sun, Qunsheng Peng. Subdivision interpolating implicit surfaces. Computers & Graphics, 2003, 27(5): 763-772.
    [103] Xiang Peng, Zhaoliang Yang, Hanben Niu. Multi-resolution reconstruction of 3-D image with modified temporal unwrapping algorithm. Optics Communications, 2003,224(1-3): 35-44.
    [104] Ren B Y, Hagiwara I. Composite freeform surface reconstruction using recursive interpolating subdivision scheme. Computers in Industry, 2003, 50(3): 265-275.
    [105] Doo D, A Subdivision Algorithm for Smoothing Down Irregularly Shaped Polyhedrons. Interactive Techniques in Computer Aided Design, 1978: 157-165.
    [106] Sabin M., The Use of Piecewise Forms for the Numerical Representation of Shape. PhD thesis Hungarian Academy of Sciences, 1976.
    [107] Zorin D, Schroder P, Sweldens W. Interpolating Subdivision for Meshes with Arbitrary Topology. ACM SIGGRAPH, 1996(8): 189-192.
    [108] Kobbelt L. Interpolatory Refinement by Variational Methods. Approximation Theory Ⅷ, 1995, 2: 217-224.
    [109] Hoppe H, DeRose T, Duchamp T, et al. Piecewise Smooth Surface Reconstruction. ACM SIGGRAPH, 1994, 7: 295-302.
    [110] Ross T, Whitaker, Vidya Elangovan, A direct approach to estimating surfaces in tomographic data. Medical Image Analysis, 2002,6(3): 235-249.
    [111] Maekawa T, Ko K H, Surface construction by fitting unorganized curves. Graphical Models. 2002,64(5): 316-332.
    [112] Jean-Daniel Boissonnat, Frederic Cazals, Smooth surface reconstruction via natural neighbour interpolation of distance functions. Computational Geometry, 2002, 22(1-3) 185-203.
    [113] Chandrajit L B, Guoliang X, Robert J H. Hierarchical multiresolution reconstruction of shell surfaces. Computer Aided Geometric Design, 2002,19(2): 89-112.
    [114] Udo Adamy, Joachim Giesen, Matthias John. Surface reconstruction using umbrella filters. Computational Geometry, 2002, 21(1-2): 63-86.
    [115] Mishina E D, Ohta N, Yu Q K. Dynamics of surface reconstruction and electrodeposition studied in situ by second harmonic generation. Surface Science, V 2001,494(1): 748-754.
    [116] Law N F, Chung R. Multiresolution discontinuity-preserving surface reconstruction. Pattern Recognition, 2001, 34(11): 2133-2144.
    [117] Canero C, Radeva P, Toledo R, et al. 3D Curve Reconstruction by Biplane Snakes. 15th International Conference on Pattern Recognition, 2000, 4(3-7): 563-566.
    [118] Weiss I. 3-D curve reconstruction from uncalibrated cameras. Pattern Recognition, Proceedings of the 13th International Conference on, 1996, 1(25-29): 323 - 327.
    [119] Nan Weng, Yee-Hong Yang, Pierson R. 3D surface reconstruction using optical flow for medical imaging. Nuclear Science Symposium, 1996, 3(2-9): 1845 - 1849.
    [120] Gopi M, Krishnan S. A fast and efficient projection-based approach for surface reconstruction.Computer Graphics and Image Processing,2002,7-10:179-186.
    [121]Moretto N,Frezza R.Bayesian surface reconstruction.3D Data Processing,Visualization and Transmission,2004,9:235-241.
    [122]Atkinson G A,Hancock E R.Multi-view surface reconstruction using polarization.Computer Vision 2005,1(17-21):309-316.
    [123]Lhuillier M,Long Q,Surface reconstruction by integrating 3D and 2D data of multiple views.Ninth IEEE International Conference on Computer Vision,2003,2(13-16):1313-1320.
    [124]Skrinjar O,Tagare H,Duncan J.Surface growing from stereo images.Conference on Computer Vision and Pattern Recognition,2000,2(13-15):571-576.
    [125]Solem J.E.,Kahl F.Surface reconstruction from the projection of points,curves and contours.3D Data Processing on Visualization and Transmission,2004:301-307.
    [126]Junior A M,Neto A D D,DeMelo J D.Surface reconstruction using neural networks and adaptive geometry meshes.Neural Networks Proceedings 2004,1(25-29).
    [127]Gop M,Shankar Krishnan.A Fast and Efficient Projection-Based Approach for Surface Reconstruction.Proceedings of the ⅩⅤ Brazilian Symposium on Computer Graphics and Image Processing,2002,10:179-186.
    [128]Chuan-Chu Kuo,Hong-Tzong Yau,A Delaunay-based region-growing approach to surface reconstruction from unorganized points,Computer-Aided Design.2005,37(8):825-835.
    [129]Matheen Siddiqui,Start Sclaroff.Surface Reconstruction from Multiple Views Using Rational B-Splines and Knot Insertion.Proceedings of the First International Symposium on 3D Data Processing Visualization and Transmission,2002,6:372-378.
    [130]Seungwon Shin,Abdel-Khalik S I,Virginie Daru.Accurate representation of surface tension using the level contour reconstruction method.Journal of Computational Physics,2005,203(2):493-516.
    [131]彭芳瑜,周云飞,周济.基于插值与逼近的复杂曲面拟合.工程图学学报,2002,23(4):87-96.
    [132]孙秀慧,周来水,刘胜兰.基于交互的B样条曲面重建与误差计算.机械制造与自动化,2005,34(2):51-54.
    [133]秦绪佳,王青,鲍虎军.基于散乱点的增量式曲面逼近.计算机辅助设计与图形学学报,2006,18(9):1408-1413.
    [134]陈浪,秦大同.基于形状约束的曲面重构及应用.重庆大学学报(自然科学版),2001,24(6):24-27.
    [135]黄贤运.计算机辅助设计的曲面拟合法.岳阳师范学院学报(自然科学版),2000,13(1):71-74.
    [136]郑康平,吴坚,王小椿.利用OpenGL实现曲面重构图形显示.小型微型计算机系统,2002,13(6):762-765.
    [137]朱东波,张舜德,李涤尘,等.密集散乱测量数据点的B样条曲面拟合研究.计算机辅助设计与图形学学报,2001,13(12):1123-1128.
    [138]顾耀林,倪彤光.三维空间散乱点集快速曲面重建的研究与实现.计算机应用,2005,25(4):783-785.
    [139]张宏伟,赵小松,张国雄.三维曲面重构技术.天津大学学报(自然科学与工程技术版),2002,35(2):183-186.
    [140]欧志英,邬再新,胡赤兵.散点数据曲面拟合的应用.甘肃工业大学学报,2000,26(1):101-103.
    [141]杨春平,吴健,洪亮.双CCD系统在三维面形测量中的应用.半导体光电,2004,25(3):219-223.
    [142]刘伟军,孙玉文,刘健.点云数据的曲面重构新算法.工程图学学报,2001,(2):47-52.
    [143]齐天鹏,金烨,王军杰.基地点云数据的曲面重构方法研究.工程图学学报,2001,22(1):96-100.
    [144]武剑洁,王启付,黄运保,等.逆向工程中曲面重建的研究进展.工程图学学报,2004,25(02):133-142.
    [145]丛伟,程云阶.B 3样条曲线曲面拟合法及其在拱坝形体设计中的应用.小型微型计算机系统,1999,20(07):543-546.
    [146]梁清清.B样条的扩展及近似合并.合肥工业大学硕士论文,2005.7.
    [147]Tornola G.,Parazzini M,Ravazzani P.3D-coordinate measurement system and image reconstruction of anatomical parts from unorganized data clouds.Instrumentation and Measurement Technology Conference,2004,1(18-20):487-490.
    [148]张谦,蔡虹.3D数据场的可视化技术.计算机工程,1998,24(05):43-45.
    [149]贾春华,肖卫国,贾霖.可视化技术及研究方向.西安工业学院学报,1997,17(2):114-116.
    [150]Pak Chung Wong,Harlan Foote,Leung R,et al.Data Signatures and Visualization of Scientific Data Sets.Computer Graphics and Applications,2000,20(2):12-15.
    [151]许中卫.可视化程序模块结构设计技术.安庆师范学院学报(自然科学版),2000,6(01):37-39.
    [152]刘慎权,李华,唐卫清.可视化技术及其发展前景述评.CT理论与应用研究,1995,4(1):7-9.
    [153]何志霞,李德桃,袁建平,等.可视化技术在动载滑动轴承THD计算中的应用.小型内燃机与摩托车,2003,32(4):19-22.
    [154]李春旺.信息检索可视化技术.现代图书情报技术,2003,(6):44-49.
    [155]郭荷清,梁剑坤.面向对象及可视化技术在用户界面设计的应用.华南理工大学学报(自然科学版),1997,25(05):82-87.
    [156]许寒.人体三维重建关键技术研究.中国人民解放军国防科学技术大学论文,2002.
    [157]李燕,谭鸥,段会龙.三维医学图象可视化技术综述.中国图象图形学报,2001,6(2):103-110.
    [158]花向红,徐亚明,王佩军.三维空间测量数据体视化技术研究.测绘工程,2001,10(03):23-25.
    [159]张党胜.三维地形可视化系统研究与实现.河海大学博士论文,2001.
    [160]何全军.三维可视化技术在地理信息系统中的应用研究.吉林大学博士论文,2004.
    [161]王映辉,王琼芳.虚拟现实可视化技术纵横谈.计算机应用研究,2002,19(5):4-7.
    [162]陶玲.基于医学断层图像的三维可视化实现技术研究.南京航空航天大学博士论文,2005.
    [163]顾郁莲,蔡宣平,颜飞翔.虚拟仪表的可视化技术.电子技术应用,2000,26(6):29-30.
    [164]谢楠.振动场动态信号分析与处理系统.浙江大学博士论文,2005.
    [165]袁清珂,王海燕,赵汝嘉.综合可视化技术的研究.机械科学与技术,1998,17(5):843-846.
    [166]杨晓松.三维有限元数据场可视化技术研究与实现.大连理工大学博士论文,2000.
    [167]李燕,谭鸥,段会龙.三维医学图象可视化技术综述.中国图象图形学报.2001,6(2):103-110.
    [168]奚大平,江文萍.数字地图的三维可视化研究及其若干应用.地球科学——中国地质大学学报,2002,27(3):278-284.
    [169]张文.矢量场可视化算法研究与系统设计.国防科技大学博士学位论文,2001,10.
    [170]周杰文.三维城市地质信息可视化研究.华东师范大学博士学位论文,2006,5.
    [171]秦绪佳.医学图象三维重建及可视化技术研究.大连理工大学博士学位论文,2001,6.
    [172]芮小平.空间信息可视化关键技术研究.中科院博士学位论文,2004,5.
    [173]许妙忠.虚拟现实中三维地形建模和可视化技术及算法研究.武汉大学博士学位论文,2003,12.
    [174]蒋洪波.空间数据集可视化绘制的关键方法与技术研究.华中科技大学博士学位论文,2004,3.
    [175]宋占峰.道路线路实时动态三维可视化设计理论和方法的研究.中南大学大学博士学位论文,2003,4
    [176]何全军.三维可视化技术在地理信息系统中的应用研究.吉林大学硕士论文,2004,(9).
    [177]胡卓玮,杨国东.地形三维可视化的实现与应用.计算机应用,2003,23(10):70-71.
    [178]吴加敏,孙连英,张德政.空间数据可视化的研究与发展.计算机工程与应用,2002,38(10):85-88.
    [179]Dr Christopher Exton.Dynamic Visualization of concurrent Object-Oriented Systems.IWALT2000,2000,17(5):294-295.
    [180]Mitreski K,Dabcev D.3-D Visualization and analysis of the Pollution Sources in the Lake Ohrid.Information Technology Interfaces Conf.2003,6:501-505.
    [181]Ludger Martin,Anke Giesl,Johannes Martin.Dynamic Component Program Visualization.Proceedings of the Ninth Working Conference on Reverse Engineering,2002,11:289-298.
    [182]Alvaro Pardo,Student Member,Guillermo Sapiro.3-D visualization and analysis of the pollution sources in the Lake Ohrid.Transactions On Image Processing,June,12(6):501-505.
    [183]Mitreski K,Davcev D.Information Technology Interfaces.Proceedings of the 25th International Conference,2003,6:501-505.
    [184]Zunino C,Montrucchio B,Sanna A.A distributed visualization environment for scientific visualization based on Jini technology.Computer Graphics Spring Conference,2001,4:95-101.
    [185]Kreuseler M,Lopez N,Schumann H.A scalable framework for information visualization.Information Visualization,2000,10:27-36.
    [186]Martin L,Giesl A,Martin J.Dynamic component program visualization.Reverse Engineering 2002 Proceedings,2002,10:289-298.
    [187]Gayer M,Slavik P,Hrdlicka F.Real-time simulation and visualization using pre-calculated fluid simulator states.Seventh International Conference on Information Visualization,2003,7:440-445.
    [188]Pardo A,Sapiro G.Visualization of high dynamic range images.,Transactions on Image Processing,2003,12(6):639-647.
    [189]沈怀荣.航天器结构总体评价与建模.装备指挥技术学院学报,2003,14(2):40-44.
    [190]姚海明,薛明德,丁勇.大型空间结构热诱发振动的有限分析.清华大学学报,2002,42(11):1524-1527.
    [191]饶云江,王义平,朱涛.光纤光栅原理及应用.科学出版社,2006,8月,第一版.
    [192]张伦伟.基于光纤光栅传感的智能内窥镜形状感知系统.上海大学博士学位论文,2006,12.
    [193]苏步青,华宣积,忻元龙.实用微分几何引论.科学出版社,北京,1986,10
    [194]陈省身,陈维桓.微分几何讲义(第二版).北京大学出版社,北京,2004
    [195]于骏一,吴博达.机械加工振动的诊断、识别与控制.清华大学出版社,1994.