Abstract
A new style of fuzzy wavelets is proposed by the fuzzification of morphological wavelets. Due to the correspondence of the morphological wavelets operations and fuzzy relational ones, wavelets analysis/synthesis schemes can be formulated based on fuzzy relational calculus. To enable efficient image compression/reconstruction, the concept of the alpha-band which is an alpha-cut generalization, is also proposed for thresholding wavelets. In an image compression/reconstruction experiment using test images extracted from the Standard Image DataBAse (SIDBA), it is confirmed that the root mean square error (RMSE) of the proposed soft thresholding is decreased to 87.3% of conventional hard thresholding, when the original image is “Lenna.”
| Original language | English |
|---|---|
| Pages (from-to) | 373-378 |
| Number of pages | 6 |
| Journal | Journal of Advanced Computational Intelligence and Intelligent Informatics |
| Volume | 8 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Jul 2004 |
| Externally published | Yes |
Keywords
- fuzzy relation
- image compression/reconstruction
- morphological wavelets
- ordered structure