Gauss-Laguerre Keypoints Extraction Using Fast Hermite Projection Method

Keypoints detection and descriptors construction method based on multiscale Gauss-Laguerre circular harmonic functions expansions is considered. Its efficient acceleration procedure is introduced. Two acceleration ideas are used. The first idea is based on the interconnection between Gauss-Laguerre circular harmonic functions system and 2D Hermite functions system. The further acceleration is based on the original fast Hermite projection method. The comparison tests with SIFT algorithm were performed. The proposed method can be additionally enhanced and optimized. Nevertheless even preliminary investigation showed promising results.

[1]  Andrey S. Krylov,et al.  Fast Hermite Projection Method , 2006, ICIAR.

[2]  G LoweDavid,et al.  Distinctive Image Features from Scale-Invariant Keypoints , 2004 .

[3]  Alessandro Neri,et al.  Keypoints Selection in the Gauss Laguerre Transformed Domain , 2006, BMVC.

[4]  Luc Van Gool,et al.  Simultaneous Object Recognition and Segmentation from Single or Multiple Model Views , 2006, International Journal of Computer Vision.

[5]  Mohamed S. Kamel,et al.  Image Analysis and Recognition , 2014, Lecture Notes in Computer Science.

[6]  Christopher G. Harris,et al.  A Combined Corner and Edge Detector , 1988, Alvey Vision Conference.

[7]  Cordelia Schmid,et al.  A performance evaluation of local descriptors , 2005, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  E. Zauderer.  Complex argument Hermite–Gaussian and Laguerre–Gaussian beams , 1986 .

[9]  A. Richard Newton,et al.  Sketched symbol recognition using Zernike moments , 2004, Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004..

[10]  I. P. Mysovskih.  Approximate Calculation of Integrals , 1969 .

[11]  Giovanni Jacovitti,et al.  Maximum Likelihood Orientation Estimation of 1-D Patterns in Laguerre-Gauss Subspaces , 2010, IEEE Transactions on Image Processing.

[12]  Mads Nielsen,et al.  Computer Vision — ECCV 2002 , 2002, Lecture Notes in Computer Science.

[13]  Giovanni Jacovitti,et al.  Multiresolution circular harmonic decomposition , 2000, IEEE Trans. Signal Process..

[14]  Jenny Benois-Pineau,et al.  Scalable object-based video retrieval in HD video databases , 2010, Signal Process. Image Commun..

[15]  Andrew Zisserman,et al.  Multi-view Matching for Unordered Image Sets, or "How Do I Organize My Holiday Snaps?" , 2002, ECCV.