Robust object recognition based on implicit algebraic curves and surfaces

D. Keren; J. Subrahmonia; D. B. Cooper

doi:10.1109/CVPR.1992.223171

Robust object recognition based on implicit algebraic curves and surfaces

D. Keren, J. Subrahmonia, D. B. Cooper

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

Abstract

Two problems pertinent to using implicit higher degree polynomials in real-world robust systems are dealt with: (1) characterization and fitting algorithms for the subset of these algebraic curves and surfaces that is bounded and exists largely in the vicinity of the data; (2) a Mahalanobis distance for comparing the coefficients of two polynomials, to determine whether the curves or surfaces that they represent are close over a specified region. These tools make practical use of geometric invariants for determining whether one implicit polynomial curve or surface is a rotation, translation, or an affine transformation of another. The approach is ideally suited to smooth curves and smooth curved surfaces that do not have detectable features.

Original language	English
Title of host publication	Proceedings CVPR 1992 - IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Publisher	IEEE Computer Society
Pages	791-794
Number of pages	4
ISBN (Electronic)	0818628553
DOIs	https://doi.org/10.1109/CVPR.1992.223171
State	Published - 1992
Externally published	Yes
Event	1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 1992 - Champaign, United States Duration: 15 Jun 1992 → 18 Jun 1992

Publication series

Name	Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Volume	1992-June
ISSN (Print)	1063-6919

Conference

Conference	1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 1992
Country/Territory	United States
City	Champaign
Period	15/06/92 → 18/06/92

Bibliographical note

Publisher Copyright:
© 1992 IEEE.

ASJC Scopus subject areas

Software
Computer Vision and Pattern Recognition

Access to Document

10.1109/CVPR.1992.223171

Cite this

Keren, D., Subrahmonia, J., & Cooper, D. B. (1992). Robust object recognition based on implicit algebraic curves and surfaces. In Proceedings CVPR 1992 - IEEE Computer Society Conference on Computer Vision and Pattern Recognition (pp. 791-794). Article 223171 (Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition; Vol. 1992-June). IEEE Computer Society. https://doi.org/10.1109/CVPR.1992.223171

@inproceedings{7fdbcb44a6af42c49d46fd86494895f1,

title = "Robust object recognition based on implicit algebraic curves and surfaces",

abstract = "Two problems pertinent to using implicit higher degree polynomials in real-world robust systems are dealt with: (1) characterization and fitting algorithms for the subset of these algebraic curves and surfaces that is bounded and exists largely in the vicinity of the data; (2) a Mahalanobis distance for comparing the coefficients of two polynomials, to determine whether the curves or surfaces that they represent are close over a specified region. These tools make practical use of geometric invariants for determining whether one implicit polynomial curve or surface is a rotation, translation, or an affine transformation of another. The approach is ideally suited to smooth curves and smooth curved surfaces that do not have detectable features.",

author = "D. Keren and J. Subrahmonia and Cooper, \{D. B.\}",

note = "Publisher Copyright: {\textcopyright} 1992 IEEE.; 1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 1992 ; Conference date: 15-06-1992 Through 18-06-1992",

year = "1992",

doi = "10.1109/CVPR.1992.223171",

language = "English",

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

publisher = "IEEE Computer Society",

pages = "791--794",

booktitle = "Proceedings CVPR 1992 - IEEE Computer Society Conference on Computer Vision and Pattern Recognition",

address = "United States",

}

Keren, D, Subrahmonia, J & Cooper, DB 1992, Robust object recognition based on implicit algebraic curves and surfaces. in Proceedings CVPR 1992 - IEEE Computer Society Conference on Computer Vision and Pattern Recognition., 223171, Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, vol. 1992-June, IEEE Computer Society, pp. 791-794, 1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 1992, Champaign, United States, 15/06/92. https://doi.org/10.1109/CVPR.1992.223171

Robust object recognition based on implicit algebraic curves and surfaces. / Keren, D.; Subrahmonia, J.; Cooper, D. B.
Proceedings CVPR 1992 - IEEE Computer Society Conference on Computer Vision and Pattern Recognition. IEEE Computer Society, 1992. p. 791-794 223171 (Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition; Vol. 1992-June).

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

TY - GEN

T1 - Robust object recognition based on implicit algebraic curves and surfaces

AU - Keren, D.

AU - Subrahmonia, J.

AU - Cooper, D. B.

PY - 1992

Y1 - 1992

N2 - Two problems pertinent to using implicit higher degree polynomials in real-world robust systems are dealt with: (1) characterization and fitting algorithms for the subset of these algebraic curves and surfaces that is bounded and exists largely in the vicinity of the data; (2) a Mahalanobis distance for comparing the coefficients of two polynomials, to determine whether the curves or surfaces that they represent are close over a specified region. These tools make practical use of geometric invariants for determining whether one implicit polynomial curve or surface is a rotation, translation, or an affine transformation of another. The approach is ideally suited to smooth curves and smooth curved surfaces that do not have detectable features.

AB - Two problems pertinent to using implicit higher degree polynomials in real-world robust systems are dealt with: (1) characterization and fitting algorithms for the subset of these algebraic curves and surfaces that is bounded and exists largely in the vicinity of the data; (2) a Mahalanobis distance for comparing the coefficients of two polynomials, to determine whether the curves or surfaces that they represent are close over a specified region. These tools make practical use of geometric invariants for determining whether one implicit polynomial curve or surface is a rotation, translation, or an affine transformation of another. The approach is ideally suited to smooth curves and smooth curved surfaces that do not have detectable features.

UR - https://www.scopus.com/pages/publications/84958313015

U2 - 10.1109/CVPR.1992.223171

DO - 10.1109/CVPR.1992.223171

M3 - Conference contribution

AN - SCOPUS:84958313015

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

SP - 791

EP - 794

BT - Proceedings CVPR 1992 - IEEE Computer Society Conference on Computer Vision and Pattern Recognition

PB - IEEE Computer Society

T2 - 1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 1992

Y2 - 15 June 1992 through 18 June 1992

ER -

Keren D, Subrahmonia J, Cooper DB. Robust object recognition based on implicit algebraic curves and surfaces. In Proceedings CVPR 1992 - IEEE Computer Society Conference on Computer Vision and Pattern Recognition. IEEE Computer Society. 1992. p. 791-794. 223171. (Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition). doi: 10.1109/CVPR.1992.223171

Robust object recognition based on implicit algebraic curves and surfaces

Abstract

Publication series

Conference

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this