An affine invariant function using PCA bases with an application to within-class object recognition
The problem of shape-based recognition of objects under affine transformations is considered. We focus on the construction of a robust and highly discriminative affine invariant function that can be used for within-class object recognition applications. Using the boundaries of the objects of interes...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
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2007
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| Online Access: | https://eprints.nottingham.ac.uk/31415/ |
| _version_ | 1848794196306034688 |
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| author | Tzimiropoulos, Georgios Mitianoudis, Nikolaos Stathaki, Tania |
| author_facet | Tzimiropoulos, Georgios Mitianoudis, Nikolaos Stathaki, Tania |
| author_sort | Tzimiropoulos, Georgios |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | The problem of shape-based recognition of objects under affine transformations is considered. We focus on the construction of a robust and highly discriminative affine invariant function that can be used for within-class object recognition applications. Using the boundaries of the objects of interest, a training scheme, based on principal component analysis (PCA), is proposed to derive a set of basis functions with desired properties. The derived bases are then used for the construction of a novel affine invariant function. The proposed invariant function is evaluated for the problem of aircraft silhouette identification and appears to achieve comparable performance to a popular wavelet-based affine invariant function. At the same time, the proposed framework is much simpler than that based on wavelet analysis. |
| first_indexed | 2025-11-14T19:12:21Z |
| format | Conference or Workshop Item |
| id | nottingham-31415 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:12:21Z |
| publishDate | 2007 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-314152020-05-04T20:29:15Z https://eprints.nottingham.ac.uk/31415/ An affine invariant function using PCA bases with an application to within-class object recognition Tzimiropoulos, Georgios Mitianoudis, Nikolaos Stathaki, Tania The problem of shape-based recognition of objects under affine transformations is considered. We focus on the construction of a robust and highly discriminative affine invariant function that can be used for within-class object recognition applications. Using the boundaries of the objects of interest, a training scheme, based on principal component analysis (PCA), is proposed to derive a set of basis functions with desired properties. The derived bases are then used for the construction of a novel affine invariant function. The proposed invariant function is evaluated for the problem of aircraft silhouette identification and appears to achieve comparable performance to a popular wavelet-based affine invariant function. At the same time, the proposed framework is much simpler than that based on wavelet analysis. 2007 Conference or Workshop Item PeerReviewed Tzimiropoulos, Georgios, Mitianoudis, Nikolaos and Stathaki, Tania (2007) An affine invariant function using PCA bases with an application to within-class object recognition. In: ICASSP 2007 - 2007 IEEE International Conference on Acoustics, Speech and Signal Processing, 15-20 April 2007, Honolulu, USA. Object Recognition Principal Component Analysis Wavelet Transforms http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4217197 |
| spellingShingle | Object Recognition Principal Component Analysis Wavelet Transforms Tzimiropoulos, Georgios Mitianoudis, Nikolaos Stathaki, Tania An affine invariant function using PCA bases with an application to within-class object recognition |
| title | An affine invariant function using PCA bases with an application to within-class object recognition |
| title_full | An affine invariant function using PCA bases with an application to within-class object recognition |
| title_fullStr | An affine invariant function using PCA bases with an application to within-class object recognition |
| title_full_unstemmed | An affine invariant function using PCA bases with an application to within-class object recognition |
| title_short | An affine invariant function using PCA bases with an application to within-class object recognition |
| title_sort | affine invariant function using pca bases with an application to within-class object recognition |
| topic | Object Recognition Principal Component Analysis Wavelet Transforms |
| url | https://eprints.nottingham.ac.uk/31415/ https://eprints.nottingham.ac.uk/31415/ |