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  Symmetric 3D objects are an easy case for 2D object recognition

Vetter, T., & Poggio, T. (1994). Symmetric 3D objects are an easy case for 2D object recognition. Spatial Vision, 8(4), 443-453. doi:10.1163/156856894X00107.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-ED1C-1 Version Permalink: http://hdl.handle.net/21.11116/0000-0005-FC71-0
Genre: Journal Article

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Vetter, T1, 2, Author              
Poggio, T, Author              
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1Department Human Perception, Cognition and Action, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497797              
2Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497794              

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 Abstract: According to the 1.5 views theorem (Ullman and Basri, 1991; Poggio, 1990) recognition of a specific 3D object (defined in terms of pointwise features) from a novel 2D view can be achieved from at least two 2D model views (or each object, for orthographic projection). In this note we discuss how recognition can be achieved from a single 2D model view by exploiting prior knowledge of an object's symmetry. We prove that for any bilaterally symmetric 3D object one non-accidental 2D model view is sufficient for recognition since it can be used to generate additional "virtual" views. We also prove that for bilaterally symmetric objects the correspondence of four points between two views determines the correspondence of all other points. Symmetries of higher order allow the recovery of Euclidean structure from a single 2D view.

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 Dates: 1994-10
 Publication Status: Published in print
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 Identifiers: DOI: 10.1163/156856894X00107
BibTex Citekey: 1885
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Title: Spatial Vision
  Other : Spatial Vis.
Source Genre: Journal
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Publ. Info: Utrecht, Netherlands : VNU Science Press
Pages: - Volume / Issue: 8 (4) Sequence Number: - Start / End Page: 443 - 453 Identifier: ISSN: 0169-1015
CoNE: https://pure.mpg.de/cone/journals/resource/954927621090