Name
Abstract | ||
|---|---|---|
This paper is concerned with amoeba median filtering, a structure-adaptive morphological image filter. It has been introduced by Lerallut et al. in a discrete formulation. Experimental evidence shows that iterated amoeba median filtering leads to segmentation-like results that are similar to those obtained by self-snakes, an image filter based on a partial differential equation. We investigate this correspondence by analysing a space-continuous formulation of iterated median filtering. We prove that in the limit of vanishing radius of the structuring elements, iterated amoeba median filtering indeed approximates a partial differential equation related to self-snakes and the well-known (mean) curvature motion equation. We present experiments with discrete iterated amoeba median filtering that confirm qualitative and quantitative predictions of our analysis. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1007/978-3-642-03613-2_10 | ISMM |
Keywords | Field | DocType |
structure-adaptive morphological image filter,space-continuous formulation,discrete formulation,curvature motion equation,experimental evidence,amoeba median,partial differential equation,discrete iterated amoeba median,iterated amoeba median,iterated median,differential equations,morphological amoebas,differential equation,partial differential equations,median filter,median filtering | Differential equation,Curvature,Median filter,Mathematical analysis,Composite image filter,Equations of motion,Partial differential equation,Iterated function,Mathematics | Conference |
Volume | ISSN | Citations |
5720 | 0302-9743 | 3 |
PageRank | References | Authors |
0.46 | 11 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Martin Welk | 1 | 404 | 37.36 |
| Michael Breuß | 2 | 168 | 25.45 |
| Oliver Vogel | 3 | 95 | 10.68 |