| M. A. Snyder. The precision of 3-d parameters in correspondence-based techniques: The case of uniform translational motion in a rigid environment. IEEE Transactions on Pattern Analysis and Machine Intelligence, pages 523-528, May 1989. |
....quater nion representation (see [Hor87] Some authors, such as [ZH94] concentrate also on the robustness of that estimation. There are fewer studies, however, dealing with the precision of the estimated transform, which is our main concern here. Early experimental works can be found in [FH84] [Sny89], or [HJLZ89] A theoreti cal evaluation of the errors associated to transforms is introduced in [Kan93] mainly for the rotational com ponent. In the present paper, our main contributions are: ffl a model of errors in rigid transforms which is not an additive noise, but the composition with an ....
M.A. Snyder. The precision of 3-d parameters in cor respondence-based techniques: The case of uniform translational motion in a rigid environment. IEEE Transactions on Pattern Analysis and Machine In telligence, 11(5):523528, May 1989.
....in several works, like (Durrant Whyte, 1988a; DurrantWhyte, 1988b) or (Ayache, 1991; Zhang and Faugeras, 1992) There are fewer studies, however, dealing with the precision of the estimated motion, which is our main concern here. Early experimental works can be found in (Fang and Huang, 1984) (Snyder, 1989), or (Haralick et al. 1989) A theoretical evaluation of the errors on rotation estimation is introduced in (Kanatani, 1993; Kanatani, 1994) The present paper is the continuation of the work presented in (Pennec and Thirion, 1995) As those studies deal principally with point to point ....
Snyder, M. (1989). The precision of 3-d parameters in correspondence-based techniques: The case of uniform translational motion in a rigid environment. IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(5):523528.
....some medical applications to estimate the accuracy of our estimation. If uncertainty handling is a central topic in several works, like [DW88a, DW88b] or [Aya91, ZF92] there are much fewer studies dealing with the accuracy of the estimated motion. Early experimental works can be found in [FH84] Sny89] or [HJL 89] A theoretical evaluation of the errors on rotation estimation is introduced in [Kan93, Kan94] We have described in [PT97] how to estimate the uncertainty on this least squares pose estimation. We just recall here the results. Let r be the rotation vector and R(r) the ....
M.A. Snyder. The precision of 3-D parameters in correspondence-based techniques: The case of uniform translational motion in a rigid environment. IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(5):523--528, May 1989.
....or the quaternion representation (see [Hor87] Some authors, such as [ZH94] concentrate on the robustness of that estimation. There are fewer studies, however, dealing with the precision of the estimated transform, which is our main concern here. Early experimental works can be found in [FH84] [Sny89], or [HJLZ89] A theoretical evaluation of the associated errors is introduced in [Kan93, Kan94] mainly for the rotational component. As those studies deal principally with point to point correspondences, one of our contributions is a method which applies also to frame to frame correspondences, ....
M.A. Snyder. The precision of 3-d parameters in correspondencebased techniques: The case of uniform translational motion in a rigid environment. IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(5):523--528, May 1989.
....has led to investigations into the reason for such failures. Algorithm specific errors have been explored by Tsai and Huang [9] Barron [10] and Fang and Huang [7] General methodologies for computing the precision of 3 D Parameters in the case of translational motion have been explored by Snyder [11]. Large shifts in the Focus of Expansion have been shown to occur in the case of approximate translational motion when small ro tations have been ignored [12,13] Weng, Huang, and XThis research has been supported by the Defense Advanced Research Projects Agency under RADC contract ....
M. A. Snyder. The precision of 3-d parameters in correspondence-based techniques: The case of uniform translational motion in a rigid environment. IEEE Transactions on Pattern Analysis and Machine Intelligence, pages 523-528, May 1989.
....into the reason for such failures. Algorithm specific errors have been explored by Tsai and Huang [14] Barron [15] and Fang and Huang [12] General methodologies for computing the extent of precision of 3 D Parameters in the case of translational motion have been explored by Snyder [16]. Large shifts in the Focus of Expansion have been shown to occur in the case of approximate translational motion when small rotations have been ignored [17, 18] Weng, Huang, and Ahuja [13] have given some qualitative conditions for better structure recovery, based primarily on simulations. Adiv ....
M. A. Snyder. The precision of 3-d parameters in correspondence-based techniques: The case of uniform translational motion in a rigid environment. IEEE Transactions on Pattern Analysis and Machine Intelligence, pages 523-- 528, May 1989.
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