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Uniqueness of 3D Pose Under Weak Perspective: A Geometrical Proof
December 1995 (vol. 17 no. 12)
pp. 1220-1221

Abstract—We present a purely geometrical proof that under the weak perspective model, the 3D pose of a 3-point configuration is determined uniquely up to a reflection by its 2D projection.

[1] M.A. Fischler and R.C. Bolles, “Random Sample Consensus: A Paradigm for Model Fitting with Applications to Image Analysis and Automated Cartography,” Graphics and Image Processing, vol. 24, no. 6, pp. 381–395, June 1981.
[2] D.P. Huttenlocher and S. Ullman,“Object recognition using alignment,” IEEE Proc. First Int’l Conf. Computer Vision, pp. 102-111,,London, June 1987.
[3] D.P. Huttenlocher and S. Ullman, “Recognizing Solid Objects by Alignment with an Image,” Int'l J. Computer Vision, vol. 5, no. 2, pp. 195-212, 1990.
[4] T.D. Alter, "3-D Pose From 3 Points Using Weak-Perspective," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 16, no. 8, pp. 802-808, Aug. 1994.

Index Terms:
Pose determination, weak perspective projection.
Citation:
Thomas S. Huang, Alfred M. Bruckstein, Robert J. Holt, Arun N. Netravali, "Uniqueness of 3D Pose Under Weak Perspective: A Geometrical Proof," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 17, no. 12, pp. 1220-1221, Dec. 1995, doi:10.1109/34.476515
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