On Image Analysis by the Methods of Moments
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Theory of Multiscale, Curvature-Based Shape Representation for Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
A survey of moment-based techniques for unoccluded object representation and recognition
CVGIP: Graphical Models and Image Processing
Multiscale Fourier Descriptor for Shape Classification
ICIAP '03 Proceedings of the 12th International Conference on Image Analysis and Processing
Multiscale Fourier Descriptor for Shape-Based Image Retrieval
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 2 - Volume 02
Multiscale Fourier descriptors for defect image retrieval
Pattern Recognition Letters
Hierarchical Procrustes Matching for Shape Retrieval
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Shape Classification Using the Inner-Distance
IEEE Transactions on Pattern Analysis and Machine Intelligence
2D Shape Matching by Contour Flexibility
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image-Based Multiscale Shape Description Using Gaussian Filter
ICVGIP '08 Proceedings of the 2008 Sixth Indian Conference on Computer Vision, Graphics & Image Processing
Feature Extraction & Image Processing, Second Edition
Feature Extraction & Image Processing, Second Edition
IJCAI'83 Proceedings of the Eighth international joint conference on Artificial intelligence - Volume 2
Fourier Preprocessing for Hand Print Character Recognition
IEEE Transactions on Computers
Fourier Descriptors for Plane Closed Curves
IEEE Transactions on Computers
2D shape classification and retrieval
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Wavelet descriptor of planar curves: theory and applications
IEEE Transactions on Image Processing
A multiscale representation method for nonrigid shapes with a single closed contour
IEEE Transactions on Circuits and Systems for Video Technology
A shape-based approach for leaf classification using multiscaletriangular representation
Proceedings of the 3rd ACM conference on International conference on multimedia retrieval
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We introduce a new multiscale Fourier-based object description in 2-D space using a low-pass Gaussian filter (LPGF) and a high-pass Gaussian filter (HPGF), separately. Using the LPGF at different scales (standard deviation) represents the inner and central part of an object more than the boundary. On the other hand using the HPGF at different scales represents the boundary and exterior parts of an object more than the central part. Our algorithms are also organized to achieve size, translation and rotation invariance. Evaluation indicates that representing the boundary and exterior parts more than the central part using the HPGF performs better than the LPGF-based multiscale representation, and in comparison to Zernike moments and elliptic Fourier descriptors with respect to increasing noise. Multiscale description using HPGF in 2-D also outperforms wavelet transform-based multiscale contour Fourier descriptors and performs similar to the perimeter descriptors without any noise.