On projection matrices Pk → P2, k = 3, ⋯, 6, and their applications in computer vision

Lior Wolf*, Amnon Shashua

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

Projection matrices from projective spaces P3 to P2 have long been used in multiple-view geometry to model the perspective projection created by the pin-hole camera. In this work we introduce higher-dimensional mappings Pk → P2, k = 3, 4, 5, 6 for the representation of various applications in which the world we view is no longer rigid. We also describe the multi-view constraints from these new projection matrices (where k > 3) and methods for extracting the (non-rigid) structure and motion for each application.

Original languageAmerican English
Pages (from-to)53-67
Number of pages15
JournalInternational Journal of Computer Vision
Volume48
Issue number1
DOIs
StatePublished - Jun 2002

Bibliographical note

Funding Information:
∗This work has been partly funded by the Israeli Science Ministry grant 1229 and by a grant of the Israeli Science Foundation (ISF).

Keywords

  • Dynamic structure from motion
  • Multi-linear constraints
  • Multiple view geometry

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