Metric of affine shape and motion: the intuitive interpretation in terms of the factorization method

Jun Fujiki; Takeshi Kurata

doi:10.1117/12.279663

20 October 1997 Metric of affine shape and motion: the intuitive interpretation in terms of the factorization method

Jun Fujiki, Takeshi Kurata

Proceedings Volume 3168, Vision Geometry VI; (1997) https://doi.org/10.1117/12.279663
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

Abstract

The factorization method has been sued for recovering both the shape of an object and the motion of a camera from sequential images. This method consist of two steps. The first step is to decompose measurement matrix into a product of two matrices. And the second step is to determine a non- singular matrix to revise these matrices. Mathematical consideration of this method is not paid much attention. In this paper, we elucidate the mathematical meaning of the second step. This gives intuitive interpretation of many facts of shape from motion problem. It makes clear to understand why we need three distinct affine projection images to determine the shape and motion of camera and what information we can get from two affine projection images. We also consider the factorization method for two images.

Citation Download Citation

Jun Fujiki and Takeshi Kurata "Metric of affine shape and motion: the intuitive interpretation in terms of the factorization method", Proc. SPIE 3168, Vision Geometry VI, (20 October 1997); https://doi.org/10.1117/12.279663

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