Relative affine structure: Canonical model for 3D from 2D geometry and applications

Amnon Shashua*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

88 Scopus citations

Abstract

We propose an affine framework for perspective views, captured by a single extremely simple equation based on a viewer-centered invariant we call relative affine structure. Via a number of corollaries of our main results we show that our framework unifies previous work-including Euclidean, projective and affine-in a natural and simple way, and introduces new, extremely simple, algorithms for the tasks of reconstruction from multiple views, recognition by alignment, and certain image coding applications.

Original languageEnglish
Pages (from-to)873-883
Number of pages11
JournalIEEE Transactions on Pattern Analysis and Machine Intelligence
Volume18
Issue number9
DOIs
StatePublished - 1996
Externally publishedYes

Bibliographical note

Funding Information:
A. Shashua acknowledges support from McDonnell-Pew postdoctoral fellowship (during 1993/94 at MIT), and recently support from US-IS Binational Science Foundation 94-00120/1 and by the European ACTS project No. AC074 VANGUARD. N. Navab was supported by a Nichidai Foundation fellowship provided by Prof. Aaron Bobick at MIT Media Laboratory.

Keywords

  • Algebraic and geometric invariants
  • Alignment
  • Projective reometry
  • Reprojection
  • Structure from motion
  • Visual recognition

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