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On the Reprojection of 3D and 2D Scenes Without Explicit Model Selection
 

Summary: On the Reprojection of 3D and 2D Scenes
Without Explicit Model Selection
Amnon Shashua Shai Avidan
School of Computer Science and Engineering, Microsoft Research,
The Hebrew University, One Microsoft Way,
Jerusalem 91904, Israel Redmond, WA 98052, USA
e-mail: shashua@cs.huji.ac.il e-mail: avidan@microsoft.com
Abstract
It is known that recovering projection matrices from planar con gurations is
ambiguous, thus, posing the problem of model selection | is the scene planar
2D or non-planar 3D? For a 2D scene one would recover a homography
matrix, whereas for a 3D scene one would recover the fundamental matrix or
trifocal tensor. The task of model selection is especially problematic when the
scene is neither 2D nor 3D | for example a thin" volume in space.
In this paper we show that for certain tasks, such as reprojection, there is no
need to select a model. The ambiguity that arises from a 2D scene is orthogonal
to the reprojection process, thus if one desires to use multilinear matching con-
straints for transferring points along a sequence of views it is possible to do so
under any situation of 2D, 3D or thin" volumes.
1 Introduction

  

Source: Avidan, Shai - School of Computer Science, Interdisciplinary Center, Herzliya Israel
Shashua, Amnon - School of Computer Science and Engineering, Hebrew University of Jerusalem

 

Collections: Computer Technologies and Information Sciences