ACCV 1998: Computer Vision — ACCV'98 pp 543-550

# A linear algorithm for motion from three weak perspective images using Euler angles

• Gang Xu
• Noriko Sugimoto
Poster Session III
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1352)

## 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. And 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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