Relative affine structure: theory and application to 3D reconstruction from perspective views

Amnon Shashua; Nassir Navab

doi:10.1109/CVPR.1993.341086

Relative affine structure: theory and application to 3D reconstruction from perspective views

Amnon Shashua
, Nassir Navab

Massachusetts Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

80 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. Finally, the main results were applied to a real image sequence for purpose of 3D reconstruction from 2D views.

Original language	English
Title of host publication	Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Publisher	Publ by IEEE
Pages	483-489
Number of pages	7
ISBN (Print)	081863880X, 081863880X, 9780818658273
DOIs	https://doi.org/10.1109/CVPR.1993.341086
State	Published - 1994
Externally published	Yes
Event	Proceedings of the 1994 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Seattle, WA, USA Duration: 21 Jun 1994 → 23 Jun 1994

Publication series

Name	Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
ISSN (Print)	1063-6919

Conference

Conference	Proceedings of the 1994 IEEE Computer Society Conference on Computer Vision and Pattern Recognition
City	Seattle, WA, USA
Period	21/06/94 → 23/06/94

Access to Document

10.1109/CVPR.1993.341086

Cite this

Shashua, A., & Navab, N. (1994). Relative affine structure: theory and application to 3D reconstruction from perspective views. In Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition (pp. 483-489). (Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition). Publ by IEEE. https://doi.org/10.1109/CVPR.1993.341086

@inproceedings{cbbea4f4f1a442a0baf85a979cfd5da2,

title = "Relative affine structure: theory and application to 3D reconstruction from perspective views",

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. Finally, the main results were applied to a real image sequence for purpose of 3D reconstruction from 2D views.",

author = "Amnon Shashua and Nassir Navab",

year = "1994",

doi = "10.1109/CVPR.1993.341086",

language = "English",

isbn = "081863880X",

series = "Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition",

publisher = "Publ by IEEE",

pages = "483--489",

booktitle = "Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition",

note = "Proceedings of the 1994 IEEE Computer Society Conference on Computer Vision and Pattern Recognition ; Conference date: 21-06-1994 Through 23-06-1994",

}

Shashua, A & Navab, N 1994, Relative affine structure: theory and application to 3D reconstruction from perspective views. in Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Publ by IEEE, pp. 483-489, Proceedings of the 1994 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Seattle, WA, USA, 21/06/94. https://doi.org/10.1109/CVPR.1993.341086

Relative affine structure: theory and application to 3D reconstruction from perspective views. / Shashua, Amnon; Navab, Nassir.
Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Publ by IEEE, 1994. p. 483-489 (Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Relative affine structure

T2 - Proceedings of the 1994 IEEE Computer Society Conference on Computer Vision and Pattern Recognition

AU - Shashua, Amnon

AU - Navab, Nassir

PY - 1994

Y1 - 1994

N2 - 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. Finally, the main results were applied to a real image sequence for purpose of 3D reconstruction from 2D views.

AB - 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. Finally, the main results were applied to a real image sequence for purpose of 3D reconstruction from 2D views.

UR - https://www.scopus.com/pages/publications/0027928347

U2 - 10.1109/CVPR.1993.341086

DO - 10.1109/CVPR.1993.341086

M3 - Conference contribution

AN - SCOPUS:0027928347

SN - 081863880X

SN - 9780818658273

T3 - Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition

SP - 483

EP - 489

BT - Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition

PB - Publ by IEEE

Y2 - 21 June 1994 through 23 June 1994

ER -

Shashua A, Navab N. Relative affine structure: theory and application to 3D reconstruction from perspective views. In Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition. Publ by IEEE. 1994. p. 483-489. (Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition). doi: 10.1109/CVPR.1993.341086

Relative affine structure: theory and application to 3D reconstruction from perspective views

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this