Definition
Weak perspective projection is a linear approximation of the (full) perspective projection. In this entry, we also describe other forms of linear approximation: orthographic projection and paraperspective projection. Finally, the affine camera is presented as the most general form of linear approximation of the perspective projection.
Background
As can be seen in the entry â–¸ Perspective Camera, the perspective projection is a nonlinear mapping. This makes many vision problems difficult to solve, and more importantly, they can become ill-conditioned when the perspective effects are small. Sometimes, if certain conditions are satisfied, for example, when the camera field of view is small and the object size is small enough with respect to the distance from the viewer to the object, the...
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References
Aloimonos J (1990) Perspective approximations. Image Vis Comput 8(3):179–192
Xu G, Zhang Z (1996) Epipolar geometry in stereo, motion and object recognition. Kluwer Academic, Dordrecht/Boston
Horn BKP (1986) Robot vision. MIT, Cambridge
Ullman S (1979) The interpretation of visual motion. MIT, Cambridge
. Shapiro L (1993) Affine analysis of image sequences. PhD thesis, University of Oxford, Department of Engineering Science, Oxford, UK
. Thompson D, Mundy J (1987) Three-dimensional model matching from an unconstrained viewpoint. In: Proceedings of the international conference on robotics and automation, Raleigh, pp 208–220
. Horaud R, Christy S, Dornaika F (1994) Object pose: the link between weak perspective, para perspective, and full perspective. Technical report 2356, INRIA
Mundy JL, Zisserman A (eds) (1992) Geometric invariance in computer vision. MIT, Cambridge
. Demey S, Zisserman A, Beardsley P (1992) Affine and projective structure from motion. In: British machine vision conference, Leeds, UK, pp 49–58
Hartley RI, Zisserman A (2004) Multiple view geometry in computer vision, 2nd edn. Cambridge University Press, ISBN: 0521540518
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Zhang, Z. (2014). Weak Perspective Projection. In: Ikeuchi, K. (eds) Computer Vision. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-31439-6_115
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DOI: https://doi.org/10.1007/978-0-387-31439-6_115
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