基于月面CCD影像和激光测高数据的月球形貌测绘技术研究
|
摘要
月球探测是我国进行深空探测的开端，本文以我国自主研制的第一颗探月卫星——嫦娥一号获取的科学探测数据为基础，围绕月面形貌测绘问题，系统研究了基于月球CCD影像和激光测高数据相结合的摄影测量处理相关理论和技术问题，重点探讨了嫦娥一号CCD影像与激光测高数据相结合的定位模型，激光测高数据辅助下的月面区域网平差方法，信息贫乏月面立体影像的匹配技术和月表DEM的自动生成等关键技术，并进行了实验验证。本文的主要工作和创新性成果包括：
1、研究了激光测高数据辅助下嫦娥一号线阵CCD影像严格的成像模型，针对该模型在计算定向参数中存在的复共线性问题，分析和比较了克服复共线性的参数解算的几种方法：岭估计法、谱修正迭代法、四元数法；通过实验得出结论，三种方法精度基本相当，特点各异，四元数法减少了大量的三角函数运算，而岭估计和谱修正迭代法的几何意义明显。
2、将激光测高数据作为虚拟观测值，提出了一种激光测高数据与影像的配准算法。实现了影像定向参数的稳定解算和对月面影像目标点的前方交会定位，利用嫦娥一号获取的CCD影像结合激光测高数据进行了相关实验。
3、引入定向片内插基于CCD影像严格成像模型实现了月面较大区域的嫦娥一号CCD影像区域网平差解算，取得了较好的实验结果。
4、将铅垂线轨迹法（VLL）的匹配方法用于月球区域网平差中，实现了激光测高点作为相邻影像连接点的自动匹配，为平差提供了较多数量的连接点，保证了区域网解算的稳定性和可靠性。初步实验表明，与单模型定位算法相比，提高精度50%以上。
5、利用投影轨迹法分析了线阵CCD影像的核线的基本特性，提出了一种基于组合特征与多重约束的匹配方法，首先以最小欧氏距离和准核线约束进行嫦娥一号CCD图像的特征点匹配，并将最小二乘匹配理论与匹配模型相结合形成了最小二乘匹配联合平差模型，提高了影像匹配精度，然后，利用Harris提取特征点进行影像精细匹配。
6、实现了以高精度匹配算法为基础的月面数字形貌模型（DEM）的自动生成，提出了考虑陨石坑形貌特点的月面的DEM组合插值方法。
The moon exploration is the beginning of China's deep space exploration. In the thesis,based upon the scientific exploration data obtained by the first China independently developedlunar exploration satellite-Chang'e-1, the study work was carried out around the lunar surfacetopography mapping problems. Research work was put on the lunar CCD images and laseraltimetry data combined photogrammetry theoretical and technical issues, Chang’e-1CCDimages and laser altimetry data combined positioning model, the lunar surface block adjustmentassisted by laser altimetry data, stereo image matching technology for information-poor lunarsurface and lunar DEM automatically generation, and other key technologies and methods. Themethods proposed in the thesis were supported by the preliminary experimental validation. Themain work and innovative achievements were listed as follows.
1. The imaging model of Chang'e-1linear array CCD image assisted by laser altimetrydata was studied. Aiming at the multicollinearity problem existed in the strict imaging model,several ways were discussed to overcome the multicollinearity, Ridge estimation method, thespectrum correction iteration method, the quaternion representation for diagonal elements.Through experiments, conclusion were obtained that three methods have equivalent precision,Quaternion method greatly reduces the trigonometric functions computation, and the Ridgeestimation and spectrum correction iteration method have significant geometric meaning.
2. Laser altimetry data was using as observed value in orientation parameter calculating,laser altimetry data and image registration algorithm was presented. Forward intersectionpositioning was realized for the lunar surface target point, and related test was carried out usingthe CCD images and laser altimetry data obtained by the Chang’e-1.
3. The orientation piece image interpolation was introduced. Large area block bundleadjustment was realized for lunar surface based on the strict imaging model and theexperimental results were satisfactory.
4. Vertical Line Locus （VLL） was used in lunar block adjustment, laser altimetry pointsas image connection points automatic extraction was realized, large number of connectionpoints was provided for adjustment, stability and reliability of calculation was guaranteed.Experimental results proved that compared with single model orientation the precision wasimproved more than50%.
5. Projection trajectory method was used to analyze the basic characteristics of the epipolarline in the linear array CCD image. A matching method based combined character and multi-restriction was proposed for Chang’e-1CCD image. First, feature matching wasconstrained by minimum Euclidean distance and the quasi-epipolar, the least squares matchingand combined adjustment model was formed by combining the least squares matching theoryand the matching model to improve the image matching accuracy. Then, fine image matchingwas realized by using the Harris point
6. It realized full lunar digital topography model (DEM) generation method based highprecision matching algorithm. Interpolation, accuracy statistics and other key points in DEMgeneration were studied, and the adaptive multi-knot spline interpolation method was proposed.
1、研究了激光测高数据辅助下嫦娥一号线阵CCD影像严格的成像模型，针对该模型在计算定向参数中存在的复共线性问题，分析和比较了克服复共线性的参数解算的几种方法：岭估计法、谱修正迭代法、四元数法；通过实验得出结论，三种方法精度基本相当，特点各异，四元数法减少了大量的三角函数运算，而岭估计和谱修正迭代法的几何意义明显。
2、将激光测高数据作为虚拟观测值，提出了一种激光测高数据与影像的配准算法。实现了影像定向参数的稳定解算和对月面影像目标点的前方交会定位，利用嫦娥一号获取的CCD影像结合激光测高数据进行了相关实验。
3、引入定向片内插基于CCD影像严格成像模型实现了月面较大区域的嫦娥一号CCD影像区域网平差解算，取得了较好的实验结果。
4、将铅垂线轨迹法（VLL）的匹配方法用于月球区域网平差中，实现了激光测高点作为相邻影像连接点的自动匹配，为平差提供了较多数量的连接点，保证了区域网解算的稳定性和可靠性。初步实验表明，与单模型定位算法相比，提高精度50%以上。
5、利用投影轨迹法分析了线阵CCD影像的核线的基本特性，提出了一种基于组合特征与多重约束的匹配方法，首先以最小欧氏距离和准核线约束进行嫦娥一号CCD图像的特征点匹配，并将最小二乘匹配理论与匹配模型相结合形成了最小二乘匹配联合平差模型，提高了影像匹配精度，然后，利用Harris提取特征点进行影像精细匹配。
6、实现了以高精度匹配算法为基础的月面数字形貌模型（DEM）的自动生成，提出了考虑陨石坑形貌特点的月面的DEM组合插值方法。
The moon exploration is the beginning of China's deep space exploration. In the thesis,based upon the scientific exploration data obtained by the first China independently developedlunar exploration satellite-Chang'e-1, the study work was carried out around the lunar surfacetopography mapping problems. Research work was put on the lunar CCD images and laseraltimetry data combined photogrammetry theoretical and technical issues, Chang’e-1CCDimages and laser altimetry data combined positioning model, the lunar surface block adjustmentassisted by laser altimetry data, stereo image matching technology for information-poor lunarsurface and lunar DEM automatically generation, and other key technologies and methods. Themethods proposed in the thesis were supported by the preliminary experimental validation. Themain work and innovative achievements were listed as follows.
1. The imaging model of Chang'e-1linear array CCD image assisted by laser altimetrydata was studied. Aiming at the multicollinearity problem existed in the strict imaging model,several ways were discussed to overcome the multicollinearity, Ridge estimation method, thespectrum correction iteration method, the quaternion representation for diagonal elements.Through experiments, conclusion were obtained that three methods have equivalent precision,Quaternion method greatly reduces the trigonometric functions computation, and the Ridgeestimation and spectrum correction iteration method have significant geometric meaning.
2. Laser altimetry data was using as observed value in orientation parameter calculating,laser altimetry data and image registration algorithm was presented. Forward intersectionpositioning was realized for the lunar surface target point, and related test was carried out usingthe CCD images and laser altimetry data obtained by the Chang’e-1.
3. The orientation piece image interpolation was introduced. Large area block bundleadjustment was realized for lunar surface based on the strict imaging model and theexperimental results were satisfactory.
4. Vertical Line Locus （VLL） was used in lunar block adjustment, laser altimetry pointsas image connection points automatic extraction was realized, large number of connectionpoints was provided for adjustment, stability and reliability of calculation was guaranteed.Experimental results proved that compared with single model orientation the precision wasimproved more than50%.
5. Projection trajectory method was used to analyze the basic characteristics of the epipolarline in the linear array CCD image. A matching method based combined character and multi-restriction was proposed for Chang’e-1CCD image. First, feature matching wasconstrained by minimum Euclidean distance and the quasi-epipolar, the least squares matchingand combined adjustment model was formed by combining the least squares matching theoryand the matching model to improve the image matching accuracy. Then, fine image matchingwas realized by using the Harris point
6. It realized full lunar digital topography model (DEM) generation method based highprecision matching algorithm. Interpolation, accuracy statistics and other key points in DEMgeneration were studied, and the adaptive multi-knot spline interpolation method was proposed.
引文
[1]张文祥,林胜勇,赵金才.月球探测技术—发展历程和特点[J].上海航天,2003.3:57-62.
[2]欧阳自远,李春来,邹永廖,刘建忠,徐琳.深空探测进展与开展我国深空探测的思考[J].国际太空,2003.2:2-6.
[3]燕琴,高武俊,刘锋.月球探测中的测绘技术[J],测绘科学,2004.29(4):61-63.
[4]刘经南,魏二虎等.月球测绘在月球探测中的应用[J],武汉大学学报:信息科学版,2005.30(2):95-100.
[5]中国科学院探月工程应用系统总体部.绕月探测工程科学应用专家委员会工作参考资料[Z].2008.
[6] http://news.sina.com.cn/z/2007chegc
[7]陈琼.月面控制网建立及月球投影理论研究[D].郑州:解放军信息工程大学硕士学位论文,2006.
[8]欧阳自远.月球科学概论[M].中国宇航出版社,北京,2005.
[9]陈俊勇.月球大地测量学的进展[J],大地测量与地球动力学,2003.24(3):1-5.
[10] http://www.usgs.gov/
[11] Archinal B.A.,Rosiek M.R.,Kirk R.L. et al. Completion of the unified lunar control network2005andtopographic model.37th Lunar and Planetary Science Conference,2006.
[12] Archinal B.A.,Rosiek M.R.,Kirk R.L. et al. Update on the unified lunar control network2005.Spaceresource round table VII,2005b.
[13] B.H. Foing, G.D. Racca,et al. ESA'S SMART-1mission to the moon: goals,status and first results.lunarand planetary science XXXV,2004.
[14]邹永廖,欧阳自远,李春来.月球探测与研究进展[J].空间科学学报,2000.20(增).
[15]曹秀云,杜元清.欧洲探月计划的敲门砖——SMART-1[J],中国航天,2003.12:32-34.
[16] Shin-ichi Sobue,Susumu Sasaki,et al. The Result of SELENE (KAGUYA) Development andOperation,Recent Patents on Space Technology,2009,1,12-22.
[17] Araki H,Tazawa S,Noda H,et a1.Lunar Global Shape and Polar Topography Derived fromKaguya-LALT Laser Altimetry.Science,2009,vol.323:897-900
[18]会庭.日本“辉夜姬”月球探测器的有效载荷[J],中国航天,2007.10:28-33.
[19] A. S. Kiran Kumar, A. Roy Chowdhury."Terrain mapping camera for Chandrayaan-1" F. J. Earth Syst.Sci.2005.114(6):717–720.
[20] http://www.isro.org
[21] Tooley, Craig R.te al,Lunar Reconnaissance Orbiter Mission and Spacecraft Design,Space ScienceReviews,2010,Volume150, Issue1-4, pp.23-62.
[22]光波.印度“月船”1探测任务介绍（上）[J].中国航天,2008.12:30-34.
[23]光波.印度“月船”1探测任务介绍（下）[J].中国航天,2009.1:37-43.
[24] http://www.nasa.gov/.
[25]谭乐.美国发射两个月球探测器迈出“重返月球”的第一步[J].国际太空,2009.9:15-22.
[26]李春来,刘建军,任鑫,牟伶俐等.嫦娥一号图像数据处理与全月球影像制图[J].中国科学:D辑,2010.3:294-306.
[27]平劲松,黄倩.鄢建国等.基于嫦娥一号卫星激光测高观测的月球地形模型CLTM—s01[J].中国科学:G辑,2008.38(11):1601-1612.
[28]李春来,任鑫,刘建军,邹小端等.嫦娥一号激光测距数据及全月球DEM模型[J].中国科学:D辑,2010.3:281-293.
[29]蔡占川,郑才目,唐泽圣,齐东旭.基于嫦娥一号卫星激光测高数据的月球DEM及高程分布特征模型[J].中国科学:技术科学,2010.11:1300-1311.
[30]郭海涛,张保明,归庆明.广义岭估计在解算单线阵CCD卫星影像外方位元素中的应用[J].武汉大学学报:信息科学版,2003,28(4):444-447.
[31]岳庆兴,马福诚,邱振戈等.SPOT影像光束法平差复共线性消除[J].海洋测绘,2008.28(2):17-20.
[32]归庆明,郭海涛,郭建锋,张国芹.主成分估计用于解算卫星线阵CCD影像外方位元素[J].遥感技术与应用,2003.18(1):14-18.
[33]燕琴.异轨遥感CCD影像外方位元素的解求[J].武汉大学学报:信息科学版,2001,26(3):270-274.
[34]刘军.高分辨率卫星CCD立体影像定位技术研究[D].郑州:解放军信息工程大学硕士学位论文,2003.
[35]张鹏强.线阵CCD遥感卫星影像目标精确定位技术研究与实践[D].郑州:解放军信息工程大学硕士学位论文,2003.
[36]龚辉.基于四元数的线阵CCD影像定位技术研究[D].郑州:解放军信息工程大学,2008.
[37]王建荣.三线阵CCD影像DEM自动生成技术的研究与实践[D].西安:长安大学硕士学位论文,2006.
[38]姜挺,龚志辉,江刚武等.基于三线阵航天遥感影像的DEM自动生成[J].测绘学院学报,2004,21(3):178-183.
[39]纪松.线阵影像多视匹配自动提取DSM的理论与方法[D].郑州:解放军信息工程大学硕士学位论文,2008.
[40]范大昭.多线阵影像匹配生成DSM的理论与算法[D].郑州:解放军信息工程大学博士学位论文,2007
[41] Otto Hofmann, Peter Nave.DPS-A Digital Photogrammetric System for Production Elevation Models(DEM) and Orthophotos by Means of Linear Array Scanner Imagery [J]. PE&RS,50(8):1135-1143.
[42] Otto Hofmann, Franz Muller. Combined Point Determination Using Digital Data of ThreeLine Scanner Systems [A].IAPRS,27(B11):567-577.Kyoto,1988.
[43] Heinrich Ebner, Franz Muller, Senlin Zhang. Studies of Object Reconstruction from SpaceUsing Three Line Scanner Imagery [A].IAPRS,27(B11):242-249.Kyoto,1988.
[44] Clive Fraser, Juliang Shao. Exterior Orientation Determination of MOMS-02Three-LineImagery: Experiences with Australian Testfield Data[A].IAPRS,31(B3):207-214.Vienna,1996.
[45] W. Kornus, M. Lehner, H. Ebner, et al.Photogrammetric point determination and DEMgeneration using MOMS-2P/PRIRODA three-line imagery[A].In:ISPRS Commission IV“GIS Between Visions and Applications”[C].Stuttgart, Germany,1998.
[46] Daniela Poli.Georeferencing of CCD linear array sensors imagery[A].ASPRS, Alaska,USA,2003.
[47] Daniela Poli.General Model for Airborne and Spacebome Linear Array Sensor[J].International Acrhivesof Photogrammetry and Remote Sensing,2002,34(B1):177-182.
[48] L. Hinsken, S. Miller, U. Tempelmann, et al.Triangulation of LH Systems’ADS40ImageryUsing ORIMA GPS/IMU[A].In: ISPRS Commission III “Photogrammetric ComputerVision”[C].Graz, Austria,2002.
[49] A. Gruen, L. Zhang.Sensor Modeling for Aerial Mobile with Three-Line-Scanner (TLS)Imagery [A].IAPRS, XXXIV(B2), Xi’an,2002.
[50]王任享.三线阵CCD影像卫星摄影测量原理[M].北京:测绘出版社,2006.
[51]王任享.卫星三线阵CCD影像光束法平差研究[J].武汉大学学报信息科学版,2003,28(4):379-385.
[52]王任享,胡莘,杨俊峰等.卫星摄影测量LMCCD相机的建议[J].测绘学报,2004,33(2):116-120.
[53]赵双明,李德仁.ADS40机载数字传感器平差数学模型及其试验[J].测绘学报,2006,35(4):342-246.
[54]刘军.GPS/IMU辅助机载线阵CCD影像定位技术研究[D].郑州:解放军信息工程大学博士学位论文,2007.
[55]龚志辉.利用三线阵CCD影像进行目标定位的研究[D].郑州:解放军测绘学院硕士学位论文,1999.
[56]孙海燕.机载三线阵CCD摄影测量的直接解模型与精度分析[J].徐州师范大学学报:自然科学版,2003,21(4):28-31.
[57] Shan J.,Yoon J.S., Lee D.S.,Kirk R., Neumann G.,Acton C. Photogrammetric Analysis of the MarsGlobal Surveyor Mapping Data. Photogrammetric Engineering and Remote Sensing,
[58] Yoon J.S., Shan J. Combined Adjustment of MOC Stereo Imagery and MOLA Altimetry Data.Photogrammetric Engineering and Remote Sensing, Special Issue on Mapping Mars, Journal of theAmerican Society for Photogrammetry and Remote Sensing, Vol.71, No.10, pp.1179-1186,2005
[59] Shan J., Lee D.S., Yoon J.S., Photogrammetric Registration of MOC Imagery with MOLA Data. JointInternational Symposium on Geospatial Theory, Processing and Applications Ottawa, Canada, July8-12,2002.
[60]王涛,项琳,曹锋.月球卫星CE-1三线阵影像数据的解算试验[J].遥感信息,2010.3,(3):18-20.
[61]王朝晖,朱建军.地理空间中的基准体系[J].湖南理工学院学报,2003.2:77-79.
[62]周杨.深空测绘时空数据建模与可视化技术研究[D].郑州:解放军信息工程大学博士学位论文,2009.
[63]龚健雅.对地观测数据处理分析与进展[M].武汉:武汉大学出版社,2007.
[64]孔祥元,郭际明,刘宗泉.大地测量学基础[M].武汉:武汉大学出版社,2007.
[65]韩春好.相对论框架中的时间计量[J].天文学进展,2002,20(2):107-113.
[66]钱曾波,刘静宇,肖国超.航天摄影测量[M].北京:解放军出版社,1990.
[67]邢帅.多源遥感影像联合定位技术研究[D].郑州:解放军信息工程大学博士学位论文,2008.
[68]张艳.线阵列推扫式影像的数字摄影测量处理[D].郑州:解放军信息工程大学硕士学位论文.2003.
[69]王新洲,刘丁酉,张前勇,王海兰.谱修正迭代法及其在测量数据处理中的应用[J].黑龙江工程学院学报,2001,15(2):3-6.
[70]杨元喜.自适应动态导航定位[M].北京:测绘出版社,2006.
[71]徐青,吴寿虎,朱述龙,邱振戈.近代摄影测量[M].北京:解放军出版社,2000.
[72]李德仁,袁修孝.误差处理与可靠性理论[M].武汉:武汉大学出版社,2002.
[73]赵双明,李德仁,牟伶俐.嫦娥一号立体相机影像与激光高度计数据不一致性分析[J].测绘学报.2011,40(6):751-755.
[74]王密,胡芬,金淑英.一种ADS40影像物方反投影坐标计算的快速算法[J].武汉大学学报:信息科学版,2009.34(2):187-190.
[75]赵双明,李德仁.ADS40影像几何预处理[J].武汉大学学报:信息科学版,2006,31(4):308-311.
[76]江延川.解析摄影测量学[M].郑州:解放军测绘学院,1991.
[77]王之卓.摄影测量原理[M].武汉:武汉大学出版社,2007.
[78]耿则勋,张保明,范大昭.数字摄影测量学[M].北京:测绘出版社,2010.
[79]张祖勋,张剑清.数字摄影测量学[M].武汉:武汉大学出版社,1996.
[80] He Yu,Xu Qing,Lan Chao-zhen,Xing Shuai.Study on Lunar DEM Generation by Using Chang'e-1Three-line-array CCD Imagery[J].ICCIS,2010,Chengdu,China.
[81] He Yu,Xu Qing,Lan Chao-zhen,Xing Shuai.Imaging Model Based on CE-1CCD Imagery[J].ICCIS,2011,Chengdu,China.
[82] He Yu,Xu Qing, Xing Shuai.Multi-View Image Matching Algorithm Based on Chang'e-1Lunar Image[J].MIPPR,2011,Guilin,China.
[83]邢帅.多源遥感影像配准与融合技术的研究[D].郑州:解放军信息工程大学硕士学位论文,2004.
[84]郭华东等,感知天地——信息获取与处理技术[M].科学出版社,2000.
[85]徐青.地形三维可视化技术[M].测绘出版社,2000.
[86] Baltsavias E. Multiphoto Geometrically Constrained Matching[D], Ph. D. dissertation, Institute ofGeodesy and Photogrammetry, ETH Zurich,1991.
[87] Zhang Li, Automatic Digital Surface Model (DSM) Generation from Linear Array Images [D]. SwissFederal Institute of Technology Zurich for the degree of Doctor of Technical Sciences,2005.
[88]张力,张祖勋,张剑清.Wallis滤波在影像匹配中的应用[J].武汉测绘科技大学学报,1999,24(1):24-27.
[89] Fostner,A Feature Based Correspondence Algorithm for Image Matching[C]. ISPRS Commission Ⅲ.International archives of photogrammetry: volume XXVⅠ, part3/3: proceedings of the ISPRSCommission Ⅲ Sumposium. Rovaniemi: ISPRS:150-166.
[90] Moravec,TowardAutomatic VisualObstacleAvoidance[A].In:Proceedingsofthe5thInternational JointConference on Artificial Intelligence,Cambridge,USA,1977:584-586.
[91] C.Harris, M.Stephens.A combined comer and edge detector[A]. In:Proceedingsofthe4th Alvey VisionConference.1988:147-151.
[92] F rstner, W. Guelch, E. A fast operator for detection and precise location of distinctpoints, corners andcenter of circular features[A]. In:ISPRS Conference on Fast Processing ofPhotogrammetric Data,Interlaken, Switzerland,1987.:281-305.
[93] Lu Y.,1988, Interest Operator and Fast Implementation. Proc. Of16th ISPRS. In IAPRS, Vol.27/B3,pp491-500.
[94] Smith SM, Brady JM. SUSAN-a new approach to low level image processing[J].InternationalJournal ofComputer Vision1997.23(1):45-78.
[95] Lindeberg.T. Feature detection with automatic scale selection[J].International Journal of ComputerVision,1998,30(2):79-116.
[96] Lindeberg.T. scale-space theory:A basic tool for analyzing structures at different scales[J].Journal ofApplied Statistics,1994,21(2):224一270.
[97] Lowe D. G. Object Recognition from Local Scale-Invariant Features[C].In: Proceeding oftheInternational Conference on Computer Vision (ICCV’1999).Corfu, Greece,1999.
[98] LoweD. G. Distinctive image features from scale-invariant keypoints [J].International JournalofComputer Vision2004.60(2):91-110.
[99] H.Bay,T.Tuytelaars,L.Van Gool. Surf: Speeded up robust features. Proceedings of the9th118EuropeanConference on Computer vision,2006,404-417.
[100] Y Ke,R Sukthankar,PCA-SIFT A more distinctive representation for local imagedescriptors[C].Computer Vision and Pattern Recognition, Proceedings of the2004IEEE ComputerSocietyConference on Washington,CVPR,2004,vo12:506-513.
[101] K.Mikolajczyk, C.Schmid.A performance evaluation of local deseriptors[J].IEEE TransactionsonPattern Analysis and Machine Intelligenee,2005,27(10):1615-1630.
[102]张春美.特征点提取及其在图像匹配中的应用研究[D].解放军信息工程大学硕士学位论文,2008.
[103]张永生,巩丹超等.高分辨率遥感卫星应用[M].北京:科学出版社,2004.
[104]巩丹超.高分辨率卫星遥感立体影像处理模型与算法[D].郑州:解放军信息工程大学测绘学院,2003.
[105]张祖勋,周月琴.用拟合法进行SPOT影像的近似核线排列[J].武汉测绘科技大学学报,1989,14(2):20-24.
[106]黄玉琪.数字摄影测量中若干关键技术的研究与实践[D].郑州:解放军信息工程大学测绘学院,2000.
[107]胡芬,王密,李德仁,金淑英,李明.基于投影基准面的线阵推扫式卫星立体像对近似核线影像生成方法[J].测绘学报,2009.38(5):428-436.
[108]张永军,丁亚洲.基于有理多项式系数的线阵卫星近似核线影像的生成[J].武汉大学学报:信息科学版,2009.34(9):1068-1071.
[109]胡芬,王密,李德仁,肖明虹.利用投影轨迹的卫星影像近似核线重排快速算法[J].武汉大学学报:信息科学版,2009.34(12):1431-1435.
[110]袁修孝,刘欣.基于有理函数模型的高分辨率卫星遥感影像匹配[J].武汉大学学报:信息科学版.2009.34(6):671-674.
[111]季顺平,袁修孝.基于RFM的高分辨率卫星遥感影像自动匹配研究[J].测绘学报,2010.39(6):592-598.
[112] Morgan M.Epipolar Resampling of Linear ArraScanner Scenes[D].Canada:University of Calgary,2004.
[113] Zhang Li, Automatic Digital Surface Model (DSM) Generation from Linear Array Images [D]. SwissFederal Institute of Technology Zurich for the degree of Doctor of Technical Sciences,2005.
[114] Rousseeuw, Leroy P J. Robust Regression and Outlier Detection [J].John Wiley&Sons Inc. NewYork,1987.
[115] Zhang Z Y, Rachid D R,Oliver F. A robust technique for matching two uncalibrated imagesthrough therecovery of the unknown epipolar geometry[J].ArtificialIntelligence,1995,78(1/2):87-119.
[116] Fischler, M. and Bolles, R.,1981: Random sample consensus: a paradigm for model fittingwithapplication to image analysis and automated cartography. Communications of ACM, Vol.24,pp.381-385.
[117] Ackermann, F. High Precision Digital Image Correlation[A]. Proceedings of the39th PhotogrammetricWeek,19-24, Sept., Stuttgart, Germany, pp.231-243,1983.
[118] Daniela Poli.Modelling of Spaceborne Linear Array Sensors[D]. SWISS FEDERAL INSTITUTE OFTECHNOLOGY ZURICH,Zurich,2005
[119] GRODECKI J, DIAL G. Block Adjustment of High-Resolution Satellite Images Described byRational Polynomials[J]. Photogrammetric Engineering and Remote Sensing,2003,69(1):59-68.
[120]张力,张继贤,陈阳等.基于有理多项式模型RFM的稀少控制SPOT-5卫星影像区域网平差[J].测绘学报,2009,38(4):302-310.
[121]余俊鹏.高分辨率卫星遥感影像的精确几何定位[D].武汉:武汉大学博士学位论文.2009.
[122]李志林,朱庆.数字高程模型(第二版)[M].武汉:武汉大学出版社.2003.
[123] Pateraki M. Adaptive Multi-image Matching for DSM Generation from Airborne Linear ArrayCCD Data[D]. Institute of Echnology Zurich, ETH Zurich,2005.
[124]王植,贺赛先.一种基于Canny理论的自适应边缘检测方法[J].中国图像图形学报,2004,9(8):957-961.
[125] Canny,J.F.A Computation Approach to Edge Detection. IEEE Transactions on Pattern Analysis andMachine Intelligence.1986,8:679-714.
[126]靳艳红,蒙建军.一种基于Canny算子改进的边缘检测算法[J].重庆文理学院学报(自然科学版),2011,30(2):27-30
[127]束志林,戚飞虎.一种新的随机Hough快速圆检测算法[J].计算机工程,2003,29(6):87-88,110.
[128]张显全,苏勤,蒋联源,李国祥.一种快速的随机Hough变换圆检测算法[J].计算机工程与应用,2008,44(22):62-64.
[129]朱长青.计算方法及其在测绘中的应用[M].测绘出版社,1997.
[130]王建勋,胡以怀,李孝廉.基于三次样条插值的船舶邦戎曲线计算[J].山东交通学院学报,2011,19(1):64-67
[131]贾博.三线阵CCD月面影像DEM生成研究[D].郑州:解放军信息工程大学硕士学位论文,2010.
[132]李华山,丁玮,齐东旭.多结点样条插值及其多尺度细化算法,中国图象图形学报,1997,2(10)
[133]齐东旭.关于多结点基数型δ-spline插值(I)[J].吉林大学学报(自然科学版),1975,(1):70-81.
[134]齐东旭.关于多结点基数型δ-spline插值(II)[J].吉林大学学报(自然科学版),1976,(2):36-44.
[135]齐东旭.关于多结点基数型δ-spline插值(III)[J].吉林大学学报(自然科学版),1979,(3):1-8.
[136]宋瑞霞.样条函数的多结点技术[J].北方工业大学学报,2003.15(1):30-33.
[2]欧阳自远,李春来,邹永廖,刘建忠,徐琳.深空探测进展与开展我国深空探测的思考[J].国际太空,2003.2:2-6.
[3]燕琴,高武俊,刘锋.月球探测中的测绘技术[J],测绘科学,2004.29(4):61-63.
[4]刘经南,魏二虎等.月球测绘在月球探测中的应用[J],武汉大学学报:信息科学版,2005.30(2):95-100.
[5]中国科学院探月工程应用系统总体部.绕月探测工程科学应用专家委员会工作参考资料[Z].2008.
[6] http://news.sina.com.cn/z/2007chegc
[7]陈琼.月面控制网建立及月球投影理论研究[D].郑州:解放军信息工程大学硕士学位论文,2006.
[8]欧阳自远.月球科学概论[M].中国宇航出版社,北京,2005.
[9]陈俊勇.月球大地测量学的进展[J],大地测量与地球动力学,2003.24(3):1-5.
[10] http://www.usgs.gov/
[11] Archinal B.A.,Rosiek M.R.,Kirk R.L. et al. Completion of the unified lunar control network2005andtopographic model.37th Lunar and Planetary Science Conference,2006.
[12] Archinal B.A.,Rosiek M.R.,Kirk R.L. et al. Update on the unified lunar control network2005.Spaceresource round table VII,2005b.
[13] B.H. Foing, G.D. Racca,et al. ESA'S SMART-1mission to the moon: goals,status and first results.lunarand planetary science XXXV,2004.
[14]邹永廖,欧阳自远,李春来.月球探测与研究进展[J].空间科学学报,2000.20(增).
[15]曹秀云,杜元清.欧洲探月计划的敲门砖——SMART-1[J],中国航天,2003.12:32-34.
[16] Shin-ichi Sobue,Susumu Sasaki,et al. The Result of SELENE (KAGUYA) Development andOperation,Recent Patents on Space Technology,2009,1,12-22.
[17] Araki H,Tazawa S,Noda H,et a1.Lunar Global Shape and Polar Topography Derived fromKaguya-LALT Laser Altimetry.Science,2009,vol.323:897-900
[18]会庭.日本“辉夜姬”月球探测器的有效载荷[J],中国航天,2007.10:28-33.
[19] A. S. Kiran Kumar, A. Roy Chowdhury."Terrain mapping camera for Chandrayaan-1" F. J. Earth Syst.Sci.2005.114(6):717–720.
[20] http://www.isro.org
[21] Tooley, Craig R.te al,Lunar Reconnaissance Orbiter Mission and Spacecraft Design,Space ScienceReviews,2010,Volume150, Issue1-4, pp.23-62.
[22]光波.印度“月船”1探测任务介绍（上）[J].中国航天,2008.12:30-34.
[23]光波.印度“月船”1探测任务介绍（下）[J].中国航天,2009.1:37-43.
[24] http://www.nasa.gov/.
[25]谭乐.美国发射两个月球探测器迈出“重返月球”的第一步[J].国际太空,2009.9:15-22.
[26]李春来,刘建军,任鑫,牟伶俐等.嫦娥一号图像数据处理与全月球影像制图[J].中国科学:D辑,2010.3:294-306.
[27]平劲松,黄倩.鄢建国等.基于嫦娥一号卫星激光测高观测的月球地形模型CLTM—s01[J].中国科学:G辑,2008.38(11):1601-1612.
[28]李春来,任鑫,刘建军,邹小端等.嫦娥一号激光测距数据及全月球DEM模型[J].中国科学:D辑,2010.3:281-293.
[29]蔡占川,郑才目,唐泽圣,齐东旭.基于嫦娥一号卫星激光测高数据的月球DEM及高程分布特征模型[J].中国科学:技术科学,2010.11:1300-1311.
[30]郭海涛,张保明,归庆明.广义岭估计在解算单线阵CCD卫星影像外方位元素中的应用[J].武汉大学学报:信息科学版,2003,28(4):444-447.
[31]岳庆兴,马福诚,邱振戈等.SPOT影像光束法平差复共线性消除[J].海洋测绘,2008.28(2):17-20.
[32]归庆明,郭海涛,郭建锋,张国芹.主成分估计用于解算卫星线阵CCD影像外方位元素[J].遥感技术与应用,2003.18(1):14-18.
[33]燕琴.异轨遥感CCD影像外方位元素的解求[J].武汉大学学报:信息科学版,2001,26(3):270-274.
[34]刘军.高分辨率卫星CCD立体影像定位技术研究[D].郑州:解放军信息工程大学硕士学位论文,2003.
[35]张鹏强.线阵CCD遥感卫星影像目标精确定位技术研究与实践[D].郑州:解放军信息工程大学硕士学位论文,2003.
[36]龚辉.基于四元数的线阵CCD影像定位技术研究[D].郑州:解放军信息工程大学,2008.
[37]王建荣.三线阵CCD影像DEM自动生成技术的研究与实践[D].西安:长安大学硕士学位论文,2006.
[38]姜挺,龚志辉,江刚武等.基于三线阵航天遥感影像的DEM自动生成[J].测绘学院学报,2004,21(3):178-183.
[39]纪松.线阵影像多视匹配自动提取DSM的理论与方法[D].郑州:解放军信息工程大学硕士学位论文,2008.
[40]范大昭.多线阵影像匹配生成DSM的理论与算法[D].郑州:解放军信息工程大学博士学位论文,2007
[41] Otto Hofmann, Peter Nave.DPS-A Digital Photogrammetric System for Production Elevation Models(DEM) and Orthophotos by Means of Linear Array Scanner Imagery [J]. PE&RS,50(8):1135-1143.
[42] Otto Hofmann, Franz Muller. Combined Point Determination Using Digital Data of ThreeLine Scanner Systems [A].IAPRS,27(B11):567-577.Kyoto,1988.
[43] Heinrich Ebner, Franz Muller, Senlin Zhang. Studies of Object Reconstruction from SpaceUsing Three Line Scanner Imagery [A].IAPRS,27(B11):242-249.Kyoto,1988.
[44] Clive Fraser, Juliang Shao. Exterior Orientation Determination of MOMS-02Three-LineImagery: Experiences with Australian Testfield Data[A].IAPRS,31(B3):207-214.Vienna,1996.
[45] W. Kornus, M. Lehner, H. Ebner, et al.Photogrammetric point determination and DEMgeneration using MOMS-2P/PRIRODA three-line imagery[A].In:ISPRS Commission IV“GIS Between Visions and Applications”[C].Stuttgart, Germany,1998.
[46] Daniela Poli.Georeferencing of CCD linear array sensors imagery[A].ASPRS, Alaska,USA,2003.
[47] Daniela Poli.General Model for Airborne and Spacebome Linear Array Sensor[J].International Acrhivesof Photogrammetry and Remote Sensing,2002,34(B1):177-182.
[48] L. Hinsken, S. Miller, U. Tempelmann, et al.Triangulation of LH Systems’ADS40ImageryUsing ORIMA GPS/IMU[A].In: ISPRS Commission III “Photogrammetric ComputerVision”[C].Graz, Austria,2002.
[49] A. Gruen, L. Zhang.Sensor Modeling for Aerial Mobile with Three-Line-Scanner (TLS)Imagery [A].IAPRS, XXXIV(B2), Xi’an,2002.
[50]王任享.三线阵CCD影像卫星摄影测量原理[M].北京:测绘出版社,2006.
[51]王任享.卫星三线阵CCD影像光束法平差研究[J].武汉大学学报信息科学版,2003,28(4):379-385.
[52]王任享,胡莘,杨俊峰等.卫星摄影测量LMCCD相机的建议[J].测绘学报,2004,33(2):116-120.
[53]赵双明,李德仁.ADS40机载数字传感器平差数学模型及其试验[J].测绘学报,2006,35(4):342-246.
[54]刘军.GPS/IMU辅助机载线阵CCD影像定位技术研究[D].郑州:解放军信息工程大学博士学位论文,2007.
[55]龚志辉.利用三线阵CCD影像进行目标定位的研究[D].郑州:解放军测绘学院硕士学位论文,1999.
[56]孙海燕.机载三线阵CCD摄影测量的直接解模型与精度分析[J].徐州师范大学学报:自然科学版,2003,21(4):28-31.
[57] Shan J.,Yoon J.S., Lee D.S.,Kirk R., Neumann G.,Acton C. Photogrammetric Analysis of the MarsGlobal Surveyor Mapping Data. Photogrammetric Engineering and Remote Sensing,
[58] Yoon J.S., Shan J. Combined Adjustment of MOC Stereo Imagery and MOLA Altimetry Data.Photogrammetric Engineering and Remote Sensing, Special Issue on Mapping Mars, Journal of theAmerican Society for Photogrammetry and Remote Sensing, Vol.71, No.10, pp.1179-1186,2005
[59] Shan J., Lee D.S., Yoon J.S., Photogrammetric Registration of MOC Imagery with MOLA Data. JointInternational Symposium on Geospatial Theory, Processing and Applications Ottawa, Canada, July8-12,2002.
[60]王涛,项琳,曹锋.月球卫星CE-1三线阵影像数据的解算试验[J].遥感信息,2010.3,(3):18-20.
[61]王朝晖,朱建军.地理空间中的基准体系[J].湖南理工学院学报,2003.2:77-79.
[62]周杨.深空测绘时空数据建模与可视化技术研究[D].郑州:解放军信息工程大学博士学位论文,2009.
[63]龚健雅.对地观测数据处理分析与进展[M].武汉:武汉大学出版社,2007.
[64]孔祥元,郭际明,刘宗泉.大地测量学基础[M].武汉:武汉大学出版社,2007.
[65]韩春好.相对论框架中的时间计量[J].天文学进展,2002,20(2):107-113.
[66]钱曾波,刘静宇,肖国超.航天摄影测量[M].北京:解放军出版社,1990.
[67]邢帅.多源遥感影像联合定位技术研究[D].郑州:解放军信息工程大学博士学位论文,2008.
[68]张艳.线阵列推扫式影像的数字摄影测量处理[D].郑州:解放军信息工程大学硕士学位论文.2003.
[69]王新洲,刘丁酉,张前勇,王海兰.谱修正迭代法及其在测量数据处理中的应用[J].黑龙江工程学院学报,2001,15(2):3-6.
[70]杨元喜.自适应动态导航定位[M].北京:测绘出版社,2006.
[71]徐青,吴寿虎,朱述龙,邱振戈.近代摄影测量[M].北京:解放军出版社,2000.
[72]李德仁,袁修孝.误差处理与可靠性理论[M].武汉:武汉大学出版社,2002.
[73]赵双明,李德仁,牟伶俐.嫦娥一号立体相机影像与激光高度计数据不一致性分析[J].测绘学报.2011,40(6):751-755.
[74]王密,胡芬,金淑英.一种ADS40影像物方反投影坐标计算的快速算法[J].武汉大学学报:信息科学版,2009.34(2):187-190.
[75]赵双明,李德仁.ADS40影像几何预处理[J].武汉大学学报:信息科学版,2006,31(4):308-311.
[76]江延川.解析摄影测量学[M].郑州:解放军测绘学院,1991.
[77]王之卓.摄影测量原理[M].武汉:武汉大学出版社,2007.
[78]耿则勋,张保明,范大昭.数字摄影测量学[M].北京:测绘出版社,2010.
[79]张祖勋,张剑清.数字摄影测量学[M].武汉:武汉大学出版社,1996.
[80] He Yu,Xu Qing,Lan Chao-zhen,Xing Shuai.Study on Lunar DEM Generation by Using Chang'e-1Three-line-array CCD Imagery[J].ICCIS,2010,Chengdu,China.
[81] He Yu,Xu Qing,Lan Chao-zhen,Xing Shuai.Imaging Model Based on CE-1CCD Imagery[J].ICCIS,2011,Chengdu,China.
[82] He Yu,Xu Qing, Xing Shuai.Multi-View Image Matching Algorithm Based on Chang'e-1Lunar Image[J].MIPPR,2011,Guilin,China.
[83]邢帅.多源遥感影像配准与融合技术的研究[D].郑州:解放军信息工程大学硕士学位论文,2004.
[84]郭华东等,感知天地——信息获取与处理技术[M].科学出版社,2000.
[85]徐青.地形三维可视化技术[M].测绘出版社,2000.
[86] Baltsavias E. Multiphoto Geometrically Constrained Matching[D], Ph. D. dissertation, Institute ofGeodesy and Photogrammetry, ETH Zurich,1991.
[87] Zhang Li, Automatic Digital Surface Model (DSM) Generation from Linear Array Images [D]. SwissFederal Institute of Technology Zurich for the degree of Doctor of Technical Sciences,2005.
[88]张力,张祖勋,张剑清.Wallis滤波在影像匹配中的应用[J].武汉测绘科技大学学报,1999,24(1):24-27.
[89] Fostner,A Feature Based Correspondence Algorithm for Image Matching[C]. ISPRS Commission Ⅲ.International archives of photogrammetry: volume XXVⅠ, part3/3: proceedings of the ISPRSCommission Ⅲ Sumposium. Rovaniemi: ISPRS:150-166.
[90] Moravec,TowardAutomatic VisualObstacleAvoidance[A].In:Proceedingsofthe5thInternational JointConference on Artificial Intelligence,Cambridge,USA,1977:584-586.
[91] C.Harris, M.Stephens.A combined comer and edge detector[A]. In:Proceedingsofthe4th Alvey VisionConference.1988:147-151.
[92] F rstner, W. Guelch, E. A fast operator for detection and precise location of distinctpoints, corners andcenter of circular features[A]. In:ISPRS Conference on Fast Processing ofPhotogrammetric Data,Interlaken, Switzerland,1987.:281-305.
[93] Lu Y.,1988, Interest Operator and Fast Implementation. Proc. Of16th ISPRS. In IAPRS, Vol.27/B3,pp491-500.
[94] Smith SM, Brady JM. SUSAN-a new approach to low level image processing[J].InternationalJournal ofComputer Vision1997.23(1):45-78.
[95] Lindeberg.T. Feature detection with automatic scale selection[J].International Journal of ComputerVision,1998,30(2):79-116.
[96] Lindeberg.T. scale-space theory:A basic tool for analyzing structures at different scales[J].Journal ofApplied Statistics,1994,21(2):224一270.
[97] Lowe D. G. Object Recognition from Local Scale-Invariant Features[C].In: Proceeding oftheInternational Conference on Computer Vision (ICCV’1999).Corfu, Greece,1999.
[98] LoweD. G. Distinctive image features from scale-invariant keypoints [J].International JournalofComputer Vision2004.60(2):91-110.
[99] H.Bay,T.Tuytelaars,L.Van Gool. Surf: Speeded up robust features. Proceedings of the9th118EuropeanConference on Computer vision,2006,404-417.
[100] Y Ke,R Sukthankar,PCA-SIFT A more distinctive representation for local imagedescriptors[C].Computer Vision and Pattern Recognition, Proceedings of the2004IEEE ComputerSocietyConference on Washington,CVPR,2004,vo12:506-513.
[101] K.Mikolajczyk, C.Schmid.A performance evaluation of local deseriptors[J].IEEE TransactionsonPattern Analysis and Machine Intelligenee,2005,27(10):1615-1630.
[102]张春美.特征点提取及其在图像匹配中的应用研究[D].解放军信息工程大学硕士学位论文,2008.
[103]张永生,巩丹超等.高分辨率遥感卫星应用[M].北京:科学出版社,2004.
[104]巩丹超.高分辨率卫星遥感立体影像处理模型与算法[D].郑州:解放军信息工程大学测绘学院,2003.
[105]张祖勋,周月琴.用拟合法进行SPOT影像的近似核线排列[J].武汉测绘科技大学学报,1989,14(2):20-24.
[106]黄玉琪.数字摄影测量中若干关键技术的研究与实践[D].郑州:解放军信息工程大学测绘学院,2000.
[107]胡芬,王密,李德仁,金淑英,李明.基于投影基准面的线阵推扫式卫星立体像对近似核线影像生成方法[J].测绘学报,2009.38(5):428-436.
[108]张永军,丁亚洲.基于有理多项式系数的线阵卫星近似核线影像的生成[J].武汉大学学报:信息科学版,2009.34(9):1068-1071.
[109]胡芬,王密,李德仁,肖明虹.利用投影轨迹的卫星影像近似核线重排快速算法[J].武汉大学学报:信息科学版,2009.34(12):1431-1435.
[110]袁修孝,刘欣.基于有理函数模型的高分辨率卫星遥感影像匹配[J].武汉大学学报:信息科学版.2009.34(6):671-674.
[111]季顺平,袁修孝.基于RFM的高分辨率卫星遥感影像自动匹配研究[J].测绘学报,2010.39(6):592-598.
[112] Morgan M.Epipolar Resampling of Linear ArraScanner Scenes[D].Canada:University of Calgary,2004.
[113] Zhang Li, Automatic Digital Surface Model (DSM) Generation from Linear Array Images [D]. SwissFederal Institute of Technology Zurich for the degree of Doctor of Technical Sciences,2005.
[114] Rousseeuw, Leroy P J. Robust Regression and Outlier Detection [J].John Wiley&Sons Inc. NewYork,1987.
[115] Zhang Z Y, Rachid D R,Oliver F. A robust technique for matching two uncalibrated imagesthrough therecovery of the unknown epipolar geometry[J].ArtificialIntelligence,1995,78(1/2):87-119.
[116] Fischler, M. and Bolles, R.,1981: Random sample consensus: a paradigm for model fittingwithapplication to image analysis and automated cartography. Communications of ACM, Vol.24,pp.381-385.
[117] Ackermann, F. High Precision Digital Image Correlation[A]. Proceedings of the39th PhotogrammetricWeek,19-24, Sept., Stuttgart, Germany, pp.231-243,1983.
[118] Daniela Poli.Modelling of Spaceborne Linear Array Sensors[D]. SWISS FEDERAL INSTITUTE OFTECHNOLOGY ZURICH,Zurich,2005
[119] GRODECKI J, DIAL G. Block Adjustment of High-Resolution Satellite Images Described byRational Polynomials[J]. Photogrammetric Engineering and Remote Sensing,2003,69(1):59-68.
[120]张力,张继贤,陈阳等.基于有理多项式模型RFM的稀少控制SPOT-5卫星影像区域网平差[J].测绘学报,2009,38(4):302-310.
[121]余俊鹏.高分辨率卫星遥感影像的精确几何定位[D].武汉:武汉大学博士学位论文.2009.
[122]李志林,朱庆.数字高程模型(第二版)[M].武汉:武汉大学出版社.2003.
[123] Pateraki M. Adaptive Multi-image Matching for DSM Generation from Airborne Linear ArrayCCD Data[D]. Institute of Echnology Zurich, ETH Zurich,2005.
[124]王植,贺赛先.一种基于Canny理论的自适应边缘检测方法[J].中国图像图形学报,2004,9(8):957-961.
[125] Canny,J.F.A Computation Approach to Edge Detection. IEEE Transactions on Pattern Analysis andMachine Intelligence.1986,8:679-714.
[126]靳艳红,蒙建军.一种基于Canny算子改进的边缘检测算法[J].重庆文理学院学报(自然科学版),2011,30(2):27-30
[127]束志林,戚飞虎.一种新的随机Hough快速圆检测算法[J].计算机工程,2003,29(6):87-88,110.
[128]张显全,苏勤,蒋联源,李国祥.一种快速的随机Hough变换圆检测算法[J].计算机工程与应用,2008,44(22):62-64.
[129]朱长青.计算方法及其在测绘中的应用[M].测绘出版社,1997.
[130]王建勋,胡以怀,李孝廉.基于三次样条插值的船舶邦戎曲线计算[J].山东交通学院学报,2011,19(1):64-67
[131]贾博.三线阵CCD月面影像DEM生成研究[D].郑州:解放军信息工程大学硕士学位论文,2010.
[132]李华山,丁玮,齐东旭.多结点样条插值及其多尺度细化算法,中国图象图形学报,1997,2(10)
[133]齐东旭.关于多结点基数型δ-spline插值(I)[J].吉林大学学报(自然科学版),1975,(1):70-81.
[134]齐东旭.关于多结点基数型δ-spline插值(II)[J].吉林大学学报(自然科学版),1976,(2):36-44.
[135]齐东旭.关于多结点基数型δ-spline插值(III)[J].吉林大学学报(自然科学版),1979,(3):1-8.
[136]宋瑞霞.样条函数的多结点技术[J].北方工业大学学报,2003.15(1):30-33.