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Volumn 36, Issue 1, 2009, Pages

SBA: A software package for generic sparse bundle adjustment

Author keywords

Bundle adjustment; Engineering applications; Levenberg Marquardt; Multiple view geometry; Nonlinear least squares; Sparse Jacobian; Structure and motion estimation; Unconstrained optimization

Indexed keywords

BUNDLE ADJUSTMENT; ENGINEERING APPLICATIONS; LEVENBERG-MARQUARDT; MULTIPLE-VIEW GEOMETRY; NONLINEAR LEAST SQUARES; SPARSE JACOBIAN; STRUCTURE AND MOTION ESTIMATION; UNCONSTRAINED OPTIMIZATION;

EID: 67649243035     PISSN: 00983500     EISSN: 15577295     Source Type: Journal    
DOI: 10.1145/1486525.1486527     Document Type: Article
Times cited : (777)

References (53)
  • 1
    • 2942647144 scopus 로고    scopus 로고
    • AMESTOY, P., DAVIS,T., AND DUFF, I. 2004. Algorithm 837: AMD, an Approximate Minimum Degree Ordering Algorithm. ACM Trans. Math. Softw. 30,3 (Sep.), 381-388.
    • AMESTOY, P., DAVIS,T., AND DUFF, I. 2004. Algorithm 837: AMD, an Approximate Minimum Degree Ordering Algorithm. ACM Trans. Math. Softw. 30,3 (Sep.), 381-388.
  • 5
  • 6
    • 45149085335 scopus 로고    scopus 로고
    • High-fidelity visuo-haptic interaction with virtual objects in multi-modal AR systems
    • Santa Barbara, CA
    • BIANCHI, G., JUNG, C., KNOERLEIN, B., SZEKELY,G., AND HARDERS, M. 2006. High-fidelity visuo-haptic interaction with virtual objects in multi-modal AR systems. In Proceedings of the IEEE/ACM ISMAR'06(Santa Barbara, CA), 187-196.
    • (2006) Proceedings of the IEEE/ACM ISMAR'06 , pp. 187-196
    • BIANCHI, G.1    JUNG, C.2    KNOERLEIN, B.3    SZEKELY, G.4    HARDERS, M.5
  • 8
    • 0008929564 scopus 로고
    • A solution to the general problem of multiple station analytical stereo triangulation. Tech. rep
    • Feb
    • BROWN, D. 1958. A solution to the general problem of multiple station analytical stereo triangulation. Tech. rep. 43. RCA-MTP. Feb.
    • (1958) RCA-MTP , pp. 43
    • BROWN, D.1
  • 9
    • 67649267596 scopus 로고    scopus 로고
    • CHEN, Y., DAVIS, T., HAGER,W., AND RAJAMANICKAM, S. 2006. Algorithm 8xx:HOLMOD, supernodal sparse cholesky factorization and update/downdate. Tech. rep. 005. Computer and Information Science and Engineering Dept., University of Florida. Gainesville, FL. Submitted to ACM Trans.Math Software.
    • CHEN, Y., DAVIS, T., HAGER,W., AND RAJAMANICKAM, S. 2006. Algorithm 8xx:HOLMOD, supernodal sparse cholesky factorization and update/downdate. Tech. rep. 005. Computer and Information Science and Engineering Dept., University of Florida. Gainesville, FL. Submitted to ACM Trans.Math Software.
  • 10
    • 67649273694 scopus 로고    scopus 로고
    • CONN, A., GOULD,N., AND TOINT, P. 2000. Trust Region MethodsMPS-SIAM Series On Optimization. SIAM, Philadelphia, PA. DAVIS, T. A. 2005. Algorithm 849: A concise sparse cholesky factorization package. ACM Trans. Math Softw 31,4, 587-591.
    • CONN, A., GOULD,N., AND TOINT, P. 2000. Trust Region MethodsMPS-SIAM Series On Optimization. SIAM, Philadelphia, PA. DAVIS, T. A. 2005. Algorithm 849: A concise sparse cholesky factorization package. ACM Trans. Math Softw 31,4, 587-591.
  • 13
    • 0002765941 scopus 로고
    • Nonlinear least-squares
    • D. Jacobs, Ed. Academic Press, New York, NY
    • DENNIS, J. 1977. Nonlinear least-squares. In State of the Art in Numerical Analysis,D. Jacobs, Ed. Academic Press, New York, NY, 269-312.
    • (1977) State of the Art in Numerical Analysis , pp. 269-312
    • DENNIS, J.1
  • 14
    • 0019610360 scopus 로고    scopus 로고
    • DENNIS, J., GAY,D., AND WELSCH, R. 1981. An adaptive nonlinear least-squares algorithm. ACM Trans. Math. Softw. 7,3 (Sep.), 348-368.
    • DENNIS, J., GAY,D., AND WELSCH, R. 1981. An adaptive nonlinear least-squares algorithm. ACM Trans. Math. Softw. 7,3 (Sep.), 348-368.
  • 17
    • 67649270774 scopus 로고    scopus 로고
    • GAY, D. 1990. Usage summary for selected optimization routines. Tech. rep. 153.AT&T Bell Laboratories, Murray Hill, NJ. GOLUB,G. AND VAN LOAN, C. 1996. Matrix Computations,3rd ed. Johns Hopkins University Press, Baltimore, MD.
    • GAY, D. 1990. Usage summary for selected optimization routines. Tech. rep. 153.AT&T Bell Laboratories, Murray Hill, NJ. GOLUB,G. AND VAN LOAN, C. 1996. Matrix Computations,3rd ed. Johns Hopkins University Press, Baltimore, MD.
  • 18
    • 0030168036 scopus 로고    scopus 로고
    • ADOL-C, a package for the automatic differentiation of algorithms written in C/C++
    • GRIEWANK, A., JUEDES,D., AND UTKE, J. 1996. ADOL-C, a package for the automatic differentiation of algorithms written in C/C++. ACM Trans. Math. Softw. 22,2, 131-167.
    • (1996) ACM Trans. Math. Softw , vol.22 , Issue.2 , pp. 131-167
    • GRIEWANK, A.1    JUEDES, D.2    UTKE, J.3
  • 19
    • 85013595744 scopus 로고
    • Euclidean reconstruction from uncalibrated views
    • Applications oflnvari-ance in Computer Vision,J. Mundy and A. Zisserman, Eds, Springer-Verlag, Berlin, Germany
    • HARTLEY, R. 1993. Euclidean reconstruction from uncalibrated views. In Applications oflnvari-ance in Computer Vision,J. Mundy and A. Zisserman, Eds. Lecture Notes in Computer Science, Vol. 825. Springer-Verlag, Berlin, Germany, 237-256.
    • (1993) Lecture Notes in Computer Science , vol.825 , pp. 237-256
    • HARTLEY, R.1
  • 21
    • 84976791033 scopus 로고    scopus 로고
    • HIEBERT, K. 1981. An evaluation of mathematical software that solves nonlinear least squares problems. ACM Trans. Math. Softw. 7,1 (Mar.), 1-16.
    • HIEBERT, K. 1981. An evaluation of mathematical software that solves nonlinear least squares problems. ACM Trans. Math. Softw. 7,1 (Mar.), 1-16.
  • 22
    • 84975553202 scopus 로고
    • Closed-form solution of absolute orientation using unit quaternions
    • HORN, B. 1987. Closed-form solution of absolute orientation using unit quaternions. J. Opt. Soc. Amer. A 4,4, 629-642.
    • (1987) J. Opt. Soc. Amer. A , vol.4 , Issue.4 , pp. 629-642
    • HORN, B.1
  • 25
    • 0030775945 scopus 로고    scopus 로고
    • LAMPTON, M. 1997. Damping-undamping strategies for the Levenberg-Marquardt nonlinear least-squares method. Comput. Phys. J. 11,1 (Jan./Feb.), 110-115.
    • LAMPTON, M. 1997. Damping-undamping strategies for the Levenberg-Marquardt nonlinear least-squares method. Comput. Phys. J. 11,1 (Jan./Feb.), 110-115.
  • 26
    • 67649273697 scopus 로고    scopus 로고
    • LEVENBERG, K. 1944. A method for the solution of certain non-linear problems in least squares. Quart. Appl. Math. 2,2 (Jul.), 164-168.
    • LEVENBERG, K. 1944. A method for the solution of certain non-linear problems in least squares. Quart. Appl. Math. 2,2 (Jul.), 164-168.
  • 27
    • 19744373902 scopus 로고    scopus 로고
    • LOURAKIS,M. AND ARGYROS, A. 2005a. Efficient, causal camera tracking in unprepared environments. Comput. Vis. and Image Understand. 99,2 (Aug.), 259-290.
    • LOURAKIS,M. AND ARGYROS, A. 2005a. Efficient, causal camera tracking in unprepared environments. Comput. Vis. and Image Understand. 99,2 (Aug.), 259-290.
  • 28
    • 33745925296 scopus 로고    scopus 로고
    • Is Levenberg-Marquardt the most efficient optimization algorithm for implementing bundle adjustment?
    • IEEE Press, Los Alamitos, CA
    • LOURAKIS,M. AND ARGYROS, A. 2005b. Is Levenberg-Marquardt the most efficient optimization algorithm for implementing bundle adjustment? In Proceedings of the International Conference on Computer VisionIEEE Press, Los Alamitos, CA, 1526-1531.
    • (2005) Proceedings of the International Conference on Computer Vision , pp. 1526-1531
    • LOURAKIS, M.1    ARGYROS, A.2
  • 29
    • 3042535216 scopus 로고    scopus 로고
    • LOWE, D. 2004. Distinctive image features from scale-invariant keypoints. Int. J. Comput. Vis. 60,2 (Nov.), 91-110.
    • LOWE, D. 2004. Distinctive image features from scale-invariant keypoints. Int. J. Comput. Vis. 60,2 (Nov.), 91-110.
  • 30
    • 0034204705 scopus 로고    scopus 로고
    • LU, C.-P., HAGER,G., AND MJOLSNESS, E. 2000. Fast and globally convergent pose estimation from video images. IEEE Trans. Patt. Anal. Mach. Intell. 22,6 (Jun.), 610-622.
    • LU, C.-P., HAGER,G., AND MJOLSNESS, E. 2000. Fast and globally convergent pose estimation from video images. IEEE Trans. Patt. Anal. Mach. Intell. 22,6 (Jun.), 610-622.
  • 31
    • 38549093462 scopus 로고    scopus 로고
    • on-linear least squares problems. Technical University of Denmark. Lecture notes
    • MADSEN, K., NIELSEN, H., AND TINGLEFF, O. 2004. Methods for non-linear least squares problems. Technical University of Denmark. Lecture notes. http://www.imm.dtu.dk/pubdb/ views/edoc- download.php/3215/pdf/imm3215.pdf.
    • (2004) Methods for n
    • MADSEN, K.1    NIELSEN, H.2    TINGLEFF, O.3
  • 32
    • 67649285911 scopus 로고    scopus 로고
    • MARQUARDT, D. 1963. An algorithm for the least-squares estimation of nonlinear parameters. SIAM J. Appl. Math. 11,2 (Jun.), 431-441.
    • MARQUARDT, D. 1963. An algorithm for the least-squares estimation of nonlinear parameters. SIAM J. Appl. Math. 11,2 (Jun.), 431-441.
  • 33
    • 0001362410 scopus 로고
    • The Levenberg Marquardt algorithm: Implementation and theory
    • Numerical Analysis,G. Watson, Ed, Springer Verlag, Berlin, Germany
    • MORÉ, J. 1977. The Levenberg Marquardt algorithm: implementation and theory. In Numerical Analysis,G. Watson, Ed. Lecture Notes in Mathematics, vol. 630. Springer Verlag, Berlin, Germany, 105-116.
    • (1977) Lecture Notes in Mathematics , vol.630 , pp. 105-116
    • MORÉ, J.1
  • 34
    • 67649285913 scopus 로고
    • User guide for MINPACK-1. Tech. rep. ANL-80-74. Argonne National Laboratory, Argonne, IL
    • MORE, J., GARBOW, B. AND HILLSTROM, K. 1980. User guide for MINPACK-1. Tech. rep. ANL-80-74. Argonne National Laboratory, Argonne, IL.
    • (1980)
    • MORE, J.1    GARBOW, B.2    HILLSTROM, K.3
  • 36
    • 0002670337 scopus 로고
    • Projective geometry for machine vision
    • J. Mundy and A. Zisserman, Eds. MIT Press, Cambridge, MA
    • MUNDY,J. AND ZISSERMAN, A. 1992. Projective geometry for machine vision. In Geometric Invari-ance in Computer Vision,J. Mundy and A. Zisserman, Eds. MIT Press, Cambridge, MA, 463-519.
    • (1992) Geometric Invari-ance in Computer Vision , pp. 463-519
    • MUNDY, J.1    ZISSERMAN, A.2
  • 37
    • 13844291538 scopus 로고    scopus 로고
    • Damping parameter in Marquardt's method
    • Tech. rep. IMM-REP-1999-05. Technical University of Denmark, Aarhus, Denmark
    • NIELSEN, H. 1999. Damping parameter in Marquardt's method. Tech. rep. IMM-REP-1999-05. Technical University of Denmark, Aarhus, Denmark. http://www.imm.dtu.dk/∼hbn.
    • (1999)
    • NIELSEN, H.1
  • 39
    • 9644275419 scopus 로고    scopus 로고
    • POLLEFEYS, M., GOOL,L.V., VERGAUWEN, M., VERBIEST, F., CORNELIS, K., TOPS,J., AND KOCH,R. 2004. Visual modeling with a hand-held camera. Int. J. Comput. Vis. 59,3 (Sep./Oct.), 207-232.
    • POLLEFEYS, M., GOOL,L.V., VERGAUWEN, M., VERBIEST, F., CORNELIS, K., TOPS,J., AND KOCH,R. 2004. Visual modeling with a hand-held camera. Int. J. Comput. Vis. 59,3 (Sep./Oct.), 207-232.
  • 43
    • 0032666222 scopus 로고    scopus 로고
    • Efficient bundle adjustment with virtual key frames: A hierarchical approach to multi-frame structure from motion
    • IEEE Press, Los Alamitos, CA
    • SHUM, H.-Y., KE,Q., AND ZHANG, Z. 1999. Efficient bundle adjustment with virtual key frames: a hierarchical approach to multi-frame structure from motion. In Proceedings ofthe International Conference on Computer Vision and Pattern RecognitionVol. 2. IEEE Press, Los Alamitos, CA,538-543.
    • (1999) Proceedings ofthe International Conference on Computer Vision and Pattern Recognition , vol.2 , pp. 538-543
    • SHUM, H.-Y.1    KE, Q.2    ZHANG, Z.3
  • 44
    • 67649273695 scopus 로고    scopus 로고
    • SLAMA, C. 1980. Manual of Photogrammetry,ed. American Society of Photogrammetry, Falls Church, VA.
    • SLAMA, C. 1980. Manual of Photogrammetry,ed. American Society of Photogrammetry, Falls Church, VA.
  • 46
    • 84878778569 scopus 로고    scopus 로고
    • SUNDERHAUF, N., KONOLIGE, K., LACROIX,S., AND PROTZEL, P. 2005. Visual odometry using sparse bundle adjustment on an autonomous outdoor vehicle. In Autonome Mobile Systeme2005,P. Levi, M. Schanz, R. Lafrenz, and V. Avrutin, Eds. Informatik Aktuell. Springer Verlag, Berlin, Germany, 157-163.
    • SUNDERHAUF, N., KONOLIGE, K., LACROIX,S., AND PROTZEL, P. 2005. Visual odometry using sparse bundle adjustment on an autonomous outdoor vehicle. In Autonome Mobile Systeme2005,P. Levi, M. Schanz, R. Lafrenz, and V. Avrutin, Eds. Informatik Aktuell. Springer Verlag, Berlin, Germany, 157-163.
  • 47
    • 0001934565 scopus 로고
    • Recovering 3D shape and motion from image streams using nonlinear least squares
    • SZELISKI,R. AND KANG, S. 1994. Recovering 3D shape and motion from image streams using nonlinear least squares. J. Vis. Comm. Im. Repr. 5,1, 10-28.
    • (1994) J. Vis. Comm. Im. Repr , vol.5 , Issue.1 , pp. 10-28
    • SZELISKI, R.1    KANG, S.2
  • 48
    • 36348946322 scopus 로고    scopus 로고
    • Autonomous vision-based anding and terrain mapping using an MPC-controlled unmanned rotorcraft
    • TEMPLETON, T., SHIM, D., GEYER,C., AND SASTRY, S. 2007. Autonomous vision-based anding and terrain mapping using an MPC-controlled unmanned rotorcraft. In Proceedings of the IEEE ICRA071349-1356.
    • (2007) Proceedings of the IEEE ICRA07 , pp. 1349-1356
    • TEMPLETON, T.1    SHIM, D.2    GEYER, C.3    SASTRY, S.4
  • 50
    • 67649299956 scopus 로고    scopus 로고
    • Quaternions and rotations in 3-space: The algebra and its geometric interpretation
    • Tech. rep. TR01-014. Dept. of Computer Science, University of North Carolina at Chapel Hill, Chapel Hill, NC
    • VICCI, L. 2001. Quaternions and rotations in 3-space: The algebra and its geometric interpretation. Tech. rep. TR01-014. Dept. of Computer Science, University of North Carolina at Chapel Hill, Chapel Hill, NC.
    • (2001)
    • VICCI, L.1
  • 52
    • 0029388810 scopus 로고    scopus 로고
    • ZHANG, Z., DERICHE, R., FAUGERAS,0., AND LUONG, Q.-T. 1995. A robust technique for matching two uncalibrated images through the recovery of the unknown epipolar geometry. AI J. 78,87-119. (Detailed version in INRIA Tech.rep. RR-2273. INRIA Rocquencourt, France.)
    • ZHANG, Z., DERICHE, R., FAUGERAS,0., AND LUONG, Q.-T. 1995. A robust technique for matching two uncalibrated images through the recovery of the unknown epipolar geometry. AI J. 78,87-119. (Detailed version in INRIA Tech.rep. RR-2273. INRIA Rocquencourt, France.)


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