Relative Affine Structure: Canonical Model for 3D from 2D Geometry and Applications

Relative Affine Structure: Canonical Model for 3D from 2D Geometry and Applications (1996)

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by Amnon Shashua , Nassir Navab

Venue:	IEEE Transactions on Pattern Analysis and Machine Intelligence
Citations:	54 - 9 self

BibTeX

@ARTICLE{Shashua96relativeaffine,
    author = {Amnon Shashua and Nassir Navab},
    title = {Relative Affine Structure: Canonical Model for 3D from 2D Geometry and Applications},
    journal = {IEEE Transactions on Pattern Analysis and Machine Intelligence},
    year = {1996},
    volume = {18},
    pages = {88--3}
}

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Abstract

We propose an affine framework for perspective views, captured by a single extremely simple equation based on a viewer-centered invariant we call relative affine structure. Via a number of corollaries of our main results we show that our framework unifies previous work -- including Euclidean, projective and affine -- in a natural and simple way, and introduces new, extremely simple, algorithms for the tasks of reconstruction from multiple views, recognition by alignment, and certain image coding applications.

Citations

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132	Algebraic Functions for Recognition - Shashua - 1995
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