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2016 | OriginalPaper | Chapter

11. Bundle Adjustment

Authors : Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa

Published in: Guide to 3D Vision Computation

Publisher: Springer International Publishing

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Abstract

In the preceding chapter, we used knowledge of the camera matrices for reconstructing the 3D from multiple views. In this chapter, we describe a procedure, called bundle adjustment, for computing from multiple views not only the 3D shape but also the positions, orientations, and intrinsic parameters of all the cameras simultaneously. Specifically, starting from given initial values for all the unknowns, we iteratively update them such that the reconstructed shape and observed images better satisfy the perspective projection relationship. Mathematically, this is nothing but minimization of a multivariable function, but the number of unknowns is very large. Hence, we need to devise an ingenious scheme for efficiently storing intermediate values and avoiding unnecessary computations. Here, we describe a typical programming technique for such implementation.

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Literature
1.
go back to reference K. Kanatani, Y. Sugaya, Implementation and evaluation of bundle adjustment for 3-D reconstruction, in Proceedings of the 17th Symposium on Sensing via Imaging Information (2011), pp. IS4-02-1–IS4-02-8 K. Kanatani, Y. Sugaya, Implementation and evaluation of bundle adjustment for 3-D reconstruction, in Proceedings of the 17th Symposium on Sensing via Imaging Information (2011), pp. IS4-02-1–IS4-02-8
2.
go back to reference M.I.A. Lourakis, A.A. Argyros, SBA: a software package for generic sparse bundle adjustment. ACM Trans. Math. Softw. 36(1), 2:1–30 (2009) M.I.A. Lourakis, A.A. Argyros, SBA: a software package for generic sparse bundle adjustment. ACM Trans. Math. Softw. 36(1), 2:1–30 (2009)
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5.
go back to reference B. Triggs, P.F. McLauchlan, R.I. Hartley, A. Fitzgibbon, Bundle adjustment—a modern synthesis, in Vision Algorithms: Theory and Practice, ed. by B. Triggs, A. Zisserman, R. Szeliski (Springer, Berlin, 2000), pp. 298–375CrossRef B. Triggs, P.F. McLauchlan, R.I. Hartley, A. Fitzgibbon, Bundle adjustment—a modern synthesis, in Vision Algorithms: Theory and Practice, ed. by B. Triggs, A. Zisserman, R. Szeliski (Springer, Berlin, 2000), pp. 298–375CrossRef
Metadata
Title
Bundle Adjustment
Authors
Kenichi Kanatani
Yasuyuki Sugaya
Yasushi Kanazawa
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-48493-8_11

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