全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

曲率无穷范数约束的曲线3维重建

DOI: 10.11834/jig.20141008

Keywords: 曲线重建,曲率,无穷范数,反投影误差,光顺性

Full-Text   Cite this paper   Add to My Lib

Abstract:

目的为提高曲线3维重建的精度,提出一种基于曲率无穷范数约束根据2幅图像重建3维非参数空间曲线的方法。方法分析以重建曲线的反投影误差、曲率的加权和作为目标函数的缺点。为了避免引入不确定的权系数,同时使求解结果更好地逼近全局最优解,把原目标函数中的曲率项转化为曲率无穷范数的不等式约束,即限制了曲线上所有点的曲率值都必须小于某个较小阈值,从而保证了重建曲线的连续性。结果模拟曲线实验验证了方法的可行性、鲁棒性和优越性;圆柱相贯线的重建结果显示重建曲线在特定方向上的相对误差为2.98%;最后把方法应用于果树枝干骨架的3维重建,重建的果树枝干骨架符合肉眼观察的视觉效果。结论本文方法适用于不同场合下的曲线3维重建,且重建精度较高。

References

[1]  Fabbri R, Kimia B. 3D curve sketch: flexible curve-based stereo reconstruction and calibration[C]// Computer Vision and Pattern Recognition. San Francisco, CA: IEEE, 2010: 1538-1545.
[2]  Zheng J D, Zhang L Y, Du X Y, et al. 3D curve structure reconstruction from a sparse set of unordered images [J]. Computers in Industry, 2009, 60(2): 126-134.
[3]  Si S H, Ma S D. Qudric curve based stereo vision [J]. Acta Automatic Sinica, 1993(4): 420-427. [司绍华, 马颂德. 基于二次曲线的立体视觉[J]. 自动化学报, 1993(4): 420-427.]
[4]  Sukavanam N, Balasubramanian R, Kumar S. Error estimation in reconstruction of quadratic curves in 3D space [J]. International Journal of Computer Mathematics, 2007, 84(1): 121-132.
[5]  Xiao Y J, Ding M Y, Peng J X. B-spline based 3D reconstruction of spatial free-form curve [J]. Acta Automatic Sinica, 2000(4): 572-576. [肖轶军, 丁明跃, 彭嘉雄. 基于B样条的空间自由曲线3维重建[J]. 自动化学报, 2000(4): 572-576.]
[6]  Yu D Y, Huang J X, Chen X D, et al. B-Spline based 3D reconstruction of coronary artery\'s skeleton [J]. Journal of Engineering Graphics, 2005(2): 95-100. [郁道银, 黄家祥, 陈晓冬, 等. 基于B样条的冠状动脉树骨架3维重建方法[J]. 工程图学学报, 2005 (2): 95-100.]
[7]  Xiao Y J, Li Y F. Optimized stereo reconstruction of free-form space curves based on a nonuniform rational B-spline model [J]. Journal of the Optical Society of America A, Optics and Image Science, 2005, 22(9): 1746-1762.
[8]  Martinsson H, Gaspard F, Bartoli A, et al. Energy-based reconstruction of 3D curves for quality control[C]//Proceedings of the 6th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition. Berlin Heidelberg: Springer, 2007: 414-428.
[9]  Cai Y, Su Z X, Li Z L, et al. Two-view curve reconstruction based on the snake model [J]. Journal of Computational and Applied Mathematics, 2011, 236(5): 631-639.
[10]  Berthilsson R, Kalle ?, Anders H. Reconstruction of General Curves, Using Factorization and Bundle Adjustment[J]. International Journal of Computer Vision, 2001, 41(3): 171-182.
[11]  Mai F, Hung Y S. Three-dimensional curve reconstruction from multiple images [J]. Computer Vision, IET, 2012, 6(4): 273-284.
[12]  Teng C H, Chen Y S, Hsu W H. Constructing a 3D trunk model from two images [J]. Graphical Models, 2007, 69(1): 33-56.
[13]  Zhang Z Y. A flexible new technique for camera calibration [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2000, 22(11): 1330-1334.
[14]  Hartley R, Zisserman A. Multiple view geometry in computer vision [M]. 2rd ed. Cambridge: Cambridge University Press, 2002: 257-259.
[15]  Triggs B, Philip F M, Hartley R, et al. Bundle adjustment―a modern synthesis [C]//Vision Algorithms: Theory and Practice. Berlin Heidelberg: Springer, 2000: 298-372.
[16]  Zhou G Q, Wang Q. A Triangulation Method Based on minmax KKT [J]. Acta Automatic Sinica, 2012(9): 1439-1444. [周果清, 王庆. 基于minmaxKKT条件的3维重构方法[J]. 自动化学报, 2012(9): 1439-1444.]
[17]  Kahl, Fredrik, Richard H. Multiple-View Geometry Under the L_infty Norm [J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2008, 30(9): 1603-1617.
[18]  Zheng J, Zhang L, Du X, et al. 3D curve structure reconstruction from a sparse set of unordered images [J]. Computers in Industry, 2009, 60(2): 126-134.
[19]  Ricard D G, Philippe T, Chandra S S, et al. Snakes with an ellipse-reproducing property [J]. IEEE Transactions on Image Processing, 2012, 21(3): 1258-1271.
[20]  Teng C H, Chen Y S, HSU W H. An approach to extracting trunk from an image [J]. IEICE transactions on information and systems, 2006, 89 (4): 1596-1600.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133