Jingyi Yu Massachusetts Institute of Technology Cambridge, MA 02139...  Home/Search
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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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1.2: Modelling Reflections via Multiperspective Imaging - Jingyi Yu Massachusetts (2005) (Correct)
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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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