| 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.
|
Additional Information
|
Citation:
Sugata Ghosal,
"On Algebraic Smoothing: Theory and Results,"
icpr,
p. 3021,
15th International Conference on Pattern Recognition (ICPR'00) - Volume 3,
2000
|