A technique for finding the symmetry axes of implicit polynomial curves under perspective projection

Author

Marola, Giovanni

Author_Institution

Dept. of Inf. Eng., Pisa Univ., Italy

Volume

27

Issue

3

fYear

2005

fDate

3/1/2005 12:00:00 AM

Firstpage

465

Lastpage

470

Abstract

This paper presents an algebraic technique for detecting the symmetry axes of a perspectively projected plane curve. The procedure applies to implicit polynomials which has been fitted to 2D image data acquired by means of a photo camera or a TV set. The effectiveness of the proposed method has been demonstrated experimentally by using both synthetic and real images.

Keywords

axial symmetry; image representation; matrix algebra; polynomials; 2D image data; TV set; algebraic technique; perspective projection; photo camera; polynomial curves; real images; symmetry axes detection; synthetic images; Cameras; Computer vision; Equations; H infinity control; Image reconstruction; Mirrors; Object recognition; Polynomials; Robots; TV; Index Terms- Symmetry axis; implicit polynomial representation.; invariants; perspective projection; Algorithms; Artificial Intelligence; Cluster Analysis; Image Enhancement; Image Interpretation, Computer-Assisted; Information Storage and Retrieval; Numerical Analysis, Computer-Assisted; Pattern Recognition, Automated; Photography; Reproducibility of Results; Sensitivity and Specificity;

fLanguage

English

Journal_Title

Pattern Analysis and Machine Intelligence, IEEE Transactions on

Publisher

ieee

ISSN

0162-8828

Type

jour

DOI

10.1109/TPAMI.2005.45

Filename

1388272