Affine epipolar geometry via factorization method and its application

Takeshi Kurata; Jun Fujiki; Katsuhiko Sakaue

doi:10.1117/12.323437

24 September 1998 Affine epipolar geometry via factorization method and its application

Takeshi Kurata, Jun Fujiki, Katsuhiko Sakaue

Proceedings Volume 3457, Mathematical Modeling and Estimation Techniques in Computer Vision; (1998) https://doi.org/10.1117/12.323437
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1998, San Diego, CA, United States

Abstract

We present the intuitive interpretation of affine epipolar geometry for the orthographic, scaled orthographic, and paraperspective projection models in terms of the factorization method for the generalized affine projection (GAP) model proposed by Fujiki and Kurata (1997). Using the GAP model introduced by Mundy and Zisserman (1992), each affine projection model can be resolved into the orthographic projection model by the introduction of virtual image planes, then the affine epipolar geometry can be simply obtained from the estimation of the factorization method. We show some experiments using synthetic data and real images and also demonstrate to reconstruct the dense 3D structure of the object.

Citation Download Citation

Takeshi Kurata, Jun Fujiki, and Katsuhiko Sakaue "Affine epipolar geometry via factorization method and its application", Proc. SPIE 3457, Mathematical Modeling and Estimation Techniques in Computer Vision, (24 September 1998); https://doi.org/10.1117/12.323437

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