Name
Title | ||
|---|---|---|
Fast recursive algorithms for morphological operators based on the basis matrix representation |
Abstract | ||
|---|---|---|
A real-time implementation method for the most general morphological system, the so-called grayscale function processing (FP) system is presented. The proposed method is an extension of our previous works (1993, 1995) using the matrix representation of the FP system with a basis matrix (BM) and a block basis matrix (BBM) composed of grayscale structuring elements (GSE). In order to further improve the computational efficiency of the basis matrix representation, we propose recursive algorithms based on the observation of the BM and BBM. The efficiency of the proposed algorithms is gained by avoiding redundant steps in computing overlapping local maximum or minimum operations. It is shown that, with the proposed scheme, both opening and closing can be determined in real time by 2N-2 additions and 2N-2 comparisons, and OC and CO by 4N-4 additions and 4N-4 comparisons, when the size of the GSE is equal to N. It is also shown that the proposed recursive opening and closing require only 3N-3 memory elements. |
Year | DOI | Venue |
|---|---|---|
1996 | 10.1109/83.503923 | IEEE transactions on image processing : a publication of the IEEE Signal Processing Society |
Keywords | Field | DocType |
image representation,basis matrix,morphological operator,overlapping local maximum operations,block basis matrix,fp system,computational efficiency,matrix representation,matrix algebra,proposed recursive opening,real-time implementation method,mathematical morphology,grayscale function processing system,general morphological system,recursive algorithm,overlapping local minimum operations,basis matrix representation,proposed scheme,proposed algorithm,morphological operators,recursive functions,fast recursive algorithms,real-time systems,grayscale structuring elements,statistics,real time,image processing,gray scale,real time systems | Matrix calculus,Recursion (computer science),Mathematical morphology,Matrix (mathematics),Algorithm,Image processing,Matrix representation,Recursion,Grayscale,Mathematics | Journal |
Volume | Issue | ISSN |
5 | 6 | 1057-7149 |
Citations | PageRank | References |
1 | 0.37 | 4 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sung-Jea Ko | 1 | 1051 | 114.34 |
| A. Morales | 2 | 1 | 0.37 |
| Kyung-Hoon Lee | 3 | 71 | 15.77 |