a Geometric Interpretation of Weak-Perspective Motion
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A Geometric Interpretation of Weak-Perspective Motion.
IEEE Trans. Pattern Anal. Mach. Intell., 21(3):252-257, 1999
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Abstract
We present a geometric interpretation of the problem of motion recovery from three weak-perspective images. Our interpretation is based on reducing the problem of estimating the motion to a problem of finding triangles on a sphere whose angles are known. Using this geometric interpretation, a simple method to completely recover the motion parameters using three images is developed. The results of running the algorithm on real images are presented. In addition, we describe which of the various motion parameters can be recovered already from two images.
Keywords
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Bibtex Entry
@article{ShimshoniBR99a,
title = {A Geometric Interpretation of Weak-Perspective Motion.},
author = {Ilan Shimshoni and Ronen Basri and Ehud Rivlin},
year = {1999},
journal = {IEEE Trans. Pattern Anal. Mach. Intell.},
volume = {21},
number = {3},
pages = {252-257},
keywords = {Weak perspective projection; Structure from motion},
abstract = {We present a geometric interpretation of the problem of motion recovery from three weak-perspective images. Our interpretation is based on reducing the problem of estimating the motion to a problem of finding triangles on a sphere whose angles are known. Using this geometric interpretation, a simple method to completely recover the motion parameters using three images is developed. The results of running the algorithm on real images are presented. In addition, we describe which of the various motion parameters can be recovered already from two images.}
}