Title
Some Notes on Repeated Averaging Smoothing
Abstract
Gaussian smoothing can be accomplished with the Repeated Averaging Smoothing (RAS) method, a technique based on statistical theory. It can also be done with Diffusion Smoothing (DS) method, a technique based on the diffusion equation. The difference between the origins of RAS and DS is great. In this paper, we make explicit the relationship between RAS and DS. These notes show that RAS mask is a special case of diffusion explicit smoothing (DES) scheme, RAS's scale proportion coefficient depends on the diffusion coefficient, etc.. Thus, diffusion implicit smoothing scheme with a changeable time step (DISCT), which is better than DES, will also be better than RAS in terms of both the computational stability and complexity, especially in the scaled space.
Year
DOI
Venue
1988
10.1007/3-540-19036-8_60
Pattern Recognition
Keywords
Field
DocType
cross mask,explict,gaussian,numerical stability and complexity.,implicit,repeated averaging smoothing,diffusion smoothing,: repeated averaging,diffusion coefficient,scale space,diffusion equation,numerical stability
Applied mathematics,Mathematical analysis,Computational stability,Artificial intelligence,Anomalous diffusion,Special case,Pattern recognition,Gaussian blur,Gaussian,Smoothing,Statistical theory,Mathematics,Diffusion equation
Conference
Volume
ISSN
ISBN
301
0302-9743
3-540-19036-8
Citations 
PageRank 
References 
4
2.46
4
Authors
1
Name
Order
Citations
PageRank
Li-Dong Cai1287.23