A paraperspective factorization method for shape and motion recovery

C.J. Poelman and Takeo Kanade
IEEE Transactions on Pattern and Analysis and Machine Intelligence, Vol. 19, No. 3, March, 1997, pp. 206 - 218.


Download
  • Adobe portable document format (pdf) (2MB)
Copyright notice: This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. These works may not be reposted without the explicit permission of the copyright holder.

Abstract
The factorization method, first developed by Tomasi and Kanade (1992), recovers both the shape of an object and its motion from a sequence of images, using many images and tracking many feature points to obtain highly redundant feature position information. The method robustly processes the feature trajectory information using singular value decomposition (SVD), taking advantage of the linear algebraic properties of orthographic projection. However, an orthographic formulation limits the range of motions the method can accommodate. Paraperspective projection, first introduced by Ohta et al. (1981), is a projection model that closely approximates perspective projection by modeling several effects not modeled under orthographic projection, while retaining linear algebraic properties. Our paraperspective factorization method can be applied to a much wider range of motion scenarios, including image sequences containing motion toward the camera and aerial image sequences of terrain taken from a low-altitude airplane.

Notes

Text Reference
C.J. Poelman and Takeo Kanade, "A paraperspective factorization method for shape and motion recovery," IEEE Transactions on Pattern and Analysis and Machine Intelligence, Vol. 19, No. 3, March, 1997, pp. 206 - 218.

BibTeX Reference
@article{Kanade_1997_3537,
   author = "C.J. Poelman and Takeo Kanade",
   title = "A paraperspective factorization method for shape and motion recovery",
   journal = "IEEE Transactions on Pattern and Analysis and Machine Intelligence",
   pages = "206 - 218",
   month = "March",
   year = "1997",
   volume = "19",
   number = "3",
}