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A Linear Algorithm for Motion From Three Weak Perspective Images Using Euler Angles
January 1999 (vol. 21 no. 1)
pp. 54-57
ASCII Text
x 
 
Gang Xu, Noriko Sugimoto, "A Linear Algorithm for Motion From Three Weak Perspective Images Using Euler Angles," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 21, no. 1, pp. 54-57, January, 1999.
 
 
BibTex
x
 
@article{ 10.1109/34.745734,
author = {Gang Xu and Noriko Sugimoto},
title = {A Linear Algorithm for Motion From Three Weak Perspective Images Using Euler Angles},
journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence},
volume = {21},
number = {1},
issn = {0162-8828},
year = {1999},
pages = {54-57},
doi = {http://doi.ieeecomputersociety.org/10.1109/34.745734},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Pattern Analysis and Machine Intelligence
TI - A Linear Algorithm for Motion From Three Weak Perspective Images Using Euler Angles
IS - 1
SN - 0162-8828
SP54
EP57
EPD - 54-57
A1 - Gang Xu,
A1 - Noriko Sugimoto,
PY - 1999
KW - Motion
KW - structure
KW - rotation matrix
KW - Euler angles
KW - epipolar equation
KW - weak perspective projection.
VL - 21
JA - IEEE Transactions on Pattern Analysis and Machine Intelligence
ER -
 

Abstract—In this paper, we describe a new simple linear algorithm for motion and structure from three weak perspective projections using Euler angles. We first determine the epipolar equation between each pair of images, which determines the first and third Euler angles for the rotation between that pair of images, leaving only the second Euler angle undetermined. In the next step, combining the three rotations results in a very simple linear algorithm to determine the second Euler angles, up to a Necker reversal. Experimental results on synthetic and real images are presented. The degenerate cases are discussed. The program can be ftped from http://www.cv.cs.ritsumei.ac.jp/noriko/motion.html.

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Index Terms:
Motion, structure, rotation matrix, Euler angles, epipolar equation, weak perspective projection.
Citation:
Gang Xu, Noriko Sugimoto, "A Linear Algorithm for Motion From Three Weak Perspective Images Using Euler Angles," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 21, no. 1, pp. 54-57, Jan. 1999, doi:10.1109/34.745734
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