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15th International Conference on Pattern Recognition (ICPR'00) - Volume 3   p. 3021
On Algebraic Smoothing: Theory and Results

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DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ICPR.2000.903477
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Abstract
A weighted Jacobi smoother-based algebraic technique is proposed for smoothing discrete data, e.g., signal, image or video on grids with arbitrary topology. The energy of discrete data is defined in H 1 -space and a requirement for discrete scale-space theory is suggested based on the non-increase of energetic norm of the data. A shape-preserving smoothing method is also derived using a combination of Jacobi smoothers. Scale-selective smoothing of the data is achieved by eigen-analysis of the stiffness matrix. Experimental results are shown for isotropic image data.
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Citation:  Sugata Ghosal, "On Algebraic Smoothing: Theory and Results," icpr, p. 3021,  15th International Conference on Pattern Recognition (ICPR'00) - Volume 3,  2000

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