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Multiperspective Projection and Collineation (2005)  (Make Corrections)  
Jingyi Yu Massachusetts Institute of Technology Cambridge, MA 02139...



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Abstract: We present theories of multiperspective projection and collineation. Given an arbitrary multiperspective imaging system that captures smoothly varying set of rays, we show how to map the rays onto a 2D ray manifold embedded in a 4D linear vector space. The characteristics of this imaging system, such as its projection, collineation, and image distortions can be analyzed by studying the 2-D tangent planes of this ray manifold. These tangent planes correspond to the recently proposed General... (Update)

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BibTeX entry:   (Update)

@misc{ massachusetts-multiperspective,
  author = "Jingyi Yu Massachusetts",
  title = "Multiperspective Projection and Collineation",
  url = "citeseer.ist.psu.edu/755970.html" }
Citations (may not include all citations):
474   Multiple View Geometry in Computer Vision (context) - Hartley, Zisserman - 2000
422   Light Field Rendering - Levoy, Hanrahan - 1996
155   Algebraic Projective Geometry (context) - Semple, Kneebone - 1998
118   The Lumigraph - Gortler, Grzeszczuk et al. - 1996
39   Multiperspective Panoramas for Cel Animation - Wood, Finkelstein et al. - 1997
32   A Theory of SingleViewpoint Catadioptric Image Formation - Baker, Nayar - 1999
21   Multiple-center-ofProjection Images (context) - Rademacher, Bishop - 1998
20   The Space of All Stereo Images - Seitz - 2001
20   Linear Pushbroom Cameras - Gupta, Hartley - 1997
17   Stereo with Oblique Cameras - Pajdla - 2002
14   Polyhedral geometry and the two-plane parameterization - Gu, Gortler et al. - 1997
9   Omnistereo: Panoramic Stereo Imaging - Peleg, Ben-Ezra et al. - 2001
7   Caustics of Catadioptric Cameras - Swaminathan, Grossberg et al. - 2001
7   Correction of Geometric Perceptual Distortions in Pictures - Zorin, Barr - 1995
5   Mosaicing New Views: The Crossed-Slits Projection - Zomet, Feldman et al. - 2003
4   General Linear Cameras - Yu, McMillan - 2004
2   A Perspective on Distortions (context) - Swaminathan, Grossberg et al. - 2003
1   Geometry of Two-Slit Camera - Pajdla - 2002
1   Modelling Reflections via Multiperspective Imaging - Yu, McMillan - 2005

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